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BEGIN:VEVENT
SUMMARY:Hanaa M. Zayed (Menoufeya University)
DTSTART:20201109T150000Z
DTEND:20201109T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/1/">Subordination and superordination preserving properties f
 or families of integral operators for meromorphic functions</a>\nby Hanaa 
 M. Zayed (Menoufeya University) as part of سمينار التحليل ا
 لرياضي وتطبيقاته\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sahar Hamdy (Beni Suef University)
DTSTART:20201116T150000Z
DTEND:20201116T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/2/">Generalization of q-Bernoulli polynomials generated by Ja
 ckson q-Bessel functions</a>\nby Sahar Hamdy (Beni Suef University) as par
 t of سمينار التحليل الرياضي وتطبيقاته\n\nAbst
 ract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gamila El Sayed (Suez University)
DTSTART:20201123T150000Z
DTEND:20201123T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/3/">New indefinite q-integral equations from a method using q
 -Riccati equations</a>\nby Gamila El Sayed (Suez University) as part of س
 مينار التحليل الرياضي وتطبيقاته\n\nAbstract: T
 BA\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ahmed Moustafa (Western Sydney University)
DTSTART:20201130T080000Z
DTEND:20201130T090000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/4/">The Computational and Cognitive Neuropsychology of Parkin
 son’s Disease</a>\nby Ahmed Moustafa (Western Sydney University) as part
  of سمينار التحليل الرياضي وتطبيقاته\n\nAbstr
 act: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mourad Ismail (University of Central Florida)
DTSTART:20201207T150000Z
DTEND:20201207T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/5/">Fractional Integrals and semigroups and their q-analogues
  (I)</a>\nby Mourad Ismail (University of Central Florida) as part of سم
 ينار التحليل الرياضي وتطبيقاته\n\n\nAbstract\nT
 itle : Overview of fractional calculus and semigroups.\n\nAbstract : We gi
 ve an overview of the classical fractional calculus and their applications
 . The theory of semigroups is central to our treatment.\n\nThis talk will 
 be in English.\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mourad Ismail (University of Central Florida)
DTSTART:20201214T150000Z
DTEND:20201214T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/6/">Fractional Integrals and semigroups and their q-analogues
  (II)</a>\nby Mourad Ismail (University of Central Florida) as part of س
 مينار التحليل الرياضي وتطبيقاته\n\n\nAbstract\
 nIn the second lecture\, we introduce three one parameter semigroups of op
 erators and determine their spectra. Two of them are fractional integrals 
 associated with the Askey--Wilson  operator. We also study these families 
  as families of positive linear approximation operators. Applications incl
 ude connection relations and bilinear formulas for the Askey--Wilson  poly
 nomials. We also introduce a q-Gauss--Weierstrass transform and prove a re
 presentation and inversion theorem for it.\n\nThis lecture is in English.\
 n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tarek Sayed-Ahmed (Cairo University)
DTSTART:20201221T150000Z
DTEND:20201221T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/7/">Applications of the Baire Category Theorem in Logic and S
 et theory</a>\nby Tarek Sayed-Ahmed (Cairo University) as part of سمين
 ار التحليل الرياضي وتطبيقاته\n\n\nAbstract\nLet 2
  < n < ω. We study omitting types theorems (OTTs) for Ln\, which is first
  order logic restricted to the first n variables. Our positive results con
 cerning OTTs in Ln that allow quantifier elimination depend on a result of
  Shelah’s in Classification (Stability) Theory. We obtain\, using a famo
 us Theorem of Burgess from Descriptive Set Theory\, the same possibilities
  in Morley’s Theorem\, the best known general result to the still unsett
 led Vaught’s conjecture\, namely\, ≤  ℵ0 or ℵ1 or 2^{ℵ0}. \n\nAn
  example is given for an unstable countable atomic theory T having continu
 um many models but only one model omitting a countable given family of non
 -principal types\, namely the atomic countable model. We use extensively t
 he Baire Category Theorem in Polish spaces and another equally famous theo
 rem from Descriptive Set Theory on the hierarchy of analytic sets in R. We
  show that Martin’s axiom restricted to countable Boolean algebras is eq
 uivalent (in ZF which is ZFC without choice) to the celebrated Baire Categ
 ory Theorem for Polish spaces\, when we replace "countable union" by "less
  than 2^{ℵ0}"\; deducing the independency of a form of the Baire Categor
 y Theorem from ZFC.\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Seham El Mekhlafi (Cairo University)
DTSTART:20201228T150000Z
DTEND:20201228T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/8/">Optimal Control for Fractional Order Epidemic Mathematica
 l Models: Numerical Approach</a>\nby Seham El Mekhlafi (Cairo University) 
 as part of سمينار التحليل الرياضي وتطبيقاته\n
 \n\nAbstract\nRecently\, the mathematical models can be considered as a su
 ccessfully powerful tool to simulate dynamics of the spread and control th
 e infectious diseases . Also\, the fractional order models are more suitab
 le to describe the biological phenomena with memory than integer order mod
 els. In this talk\, a novel mathematical model for Malaria disease of frac
 tional order with modified parameters is presented. The fractional derivat
 ive is defined in the Atangana-Baleanu-Caputo sense. The suggested model i
 s ruled by fourteen nonlinear fractional order differential equations. The
  optimal control of the suggested model is the main objective of this talk
 . Two control variables are presented in this model to minimize the number
  of infected population. Necessary control conditions are derived. Two sch
 emes are constructed to simulate the proposed optimal control system. In o
 rder to validate the theoretical results numerical simulations and compara
 tive studies are given.\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joao Morais (ITAM)
DTSTART:20210104T150000Z
DTEND:20210104T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/9/">A Bloch-type theorem for monogenic quaternion-valued func
 tions</a>\nby Joao Morais (ITAM) as part of سمينار التحليل ا
 لرياضي وتطبيقاته\n\n\nAbstract\nBloch's (1924) classical th
 eorem asserts that if $f$ is a holomorphic function on a region that conta
 ins the closed unit disk $|z| \\leq 1$ such that $f(0) = 0$ and $|f'(0)| =
  1$\, then the image domain contains discs of radius $\\frac{3}{2}-\\sqrt{
 2} > \\frac{1}{12}$. The optimal value is known as Bloch's constant and $\
 \frac{1}{12}$ is not the best possible. In this talk\, we give a generaliz
 ation of Bloch's theorem to the three-dimensional Euclidean space in the f
 ramework of quaternion analysis. We compute explicitly a lower bound for t
 he Bloch constant.\n\nThis talk is in English.\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tarek Elgindi (Duke University)
DTSTART:20210111T150000Z
DTEND:20210111T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/10
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/10/">Remarks on the 2d Euler equation</a>\nby Tarek Elgindi (
 Duke University) as part of سمينار التحليل الرياضي و
 تطبيقاته\n\n\nAbstract\nThe Euler equation is a classical partial 
 differential equation modelling ideal fluids. It is also one of the first 
 PDE's ever written. Despite this\, the dynamics of solutions still remains
  elusive. I will give some introductory remarks about stationary solutions
  to the 2D Euler equation.\n\n(This talk is in English)\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Carneiro (ICTP)
DTSTART:20210118T150000Z
DTEND:20210118T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/11
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/11/">Fourier optimization and number theory</a>\nby Emanuel C
 arneiro (ICTP) as part of سمينار التحليل الرياضي وت
 طبيقاته\n\n\nAbstract\nThis is a talk about three problems in the i
 nterface of harmonic analysis and analytic number theory\, having the Riem
 ann hypothesis in the background. It is going to be a light conversation\,
  accessible to a broad audience.\n\n(This talk is in English).\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Omar Mohsen (University of Münster)
DTSTART:20210125T150000Z
DTEND:20210125T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/12
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/12/">New class of hypoelliptic differential operators</a>\nby
  Omar Mohsen (University of Münster) as part of سمينار التحلي
 ل الرياضي وتطبيقاته\n\n\nAbstract\nA hypoelliptic differe
 ntial operator is a differential operator whose abstract distributional so
 lutions are necessarily smooth. I will start with a brief introduction of 
 hypoelliptic operators and the various methods to ensure hypoellipticity. 
 Then I will present a new criterion which ensures hypoellipticity which ge
 neralizes previous criteria by many authors. The starting point is Hormand
 er's sum of squares theorem and Folland and Stein's idea to equip differen
 tial operators with an ordering different from the stand ordering. This is
  based on joint work with Androulidakis\, Van-Erp\, Yuncken.\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kathy Driver (University of Cape Town)
DTSTART:20210201T150000Z
DTEND:20210201T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/13
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/13/">Roots of Laguerre polynomials</a>\nby Kathy Driver (Univ
 ersity of Cape Town) as part of سمينار التحليل الرياضي
  وتطبيقاته\n\n\nAbstract\nThe Fundamental Theorem of Algebra (160
 8-1806) states that every non-zero\, single-variable\, degree $n$  polynom
 ial with complex coefficients has\, counted with multiplicity\, exactly n 
 complex roots.  The properties (location\, multiplicity\,...)  of the  roo
 ts of "classical" orthogonal polynomials (solutions of important second or
 der differential equations) have been extensively studied and have importa
 nt properties. The roots of orthogonal polynomials are real and distinct (
 simple) and lie in the interval of orthogonality. Further\, the roots of p
 olynomials of consecutive degree $n$ and $n-1$ in any orthogonal sequence 
 $\\{p_{n}(x)\\}_{n=0}^{\\infty}\,$  deg $p_n = n\,$ are interlacing in the
  sense that exactly one root of $p_{n-1}(x)$ lies between each pair of con
 secutive roots of $p_{n}(x)$ for each $n \\in \\mathbb{N}\,$ $n \\geq 2.$ 
  This classical result (Chebyshev\, Markov\, Stieltjes)  plays an importan
 t role in Gauss quadrature.   \n\n\nThe sequence of Laguerre polynomials $
 \\{L_{n}^{(\\alpha)}(x)\\}_{n=0}^{\\infty}\,$ $\\alpha > -1\,$  is orthogo
 nal on $(0\,\\infty)$ with respect to the weight function $ e^{-x} x^{\\al
 pha}.$  It is known (D-Muldoon 2014) that for each $n \\in \\mathbb{N}\,$ 
 the roots of $L_{n}^{(\\alpha)}(x)$ and  $L_{n-1}^{(\\alpha +t)}(x)\,$  ar
 e interlacing for $0 \\leq t \\leq 2$ and the $t-$ interval  $0 < t \\leq 
 2$ is sharp in order for interlacing to hold for every $ n \\in \\mathbb{N
 }.$   Using a sharp interlacing result due to Palmai for zeros of Bessel f
 unctions\,  it was proved in  (D-Muldoon 2020) that\, for each $n \\in \\m
 athbb{N}\,$ the roots of the equal degree Laguerre polynomials $L_{n}^{(\\
 alpha)}(x)$ and  $L_{n}^{(\\alpha +t)}(x)$ are interlacing for each $t$ wi
 th $0 < t \\leq 2$ and the $t-$ interval  $0 < t \\leq 2$ is sharp in orde
 r for interlacing to hold for every $n \\in \\mathbb{N}.$ \n\nHere\, we co
 nsider the simplest cases of a question raised by Alan Sokal at OPSFA 2019
 : What can we say about the interlacing of roots of the Laguerre  polynomi
 als $L_{n}^{(\\alpha)}(x)$ and $L_{n+1}^{(\\alpha +1)}(x)$ where $\\alpha 
 >-1?$ We also prove that there is partial  (sometimes full)  interlacing o
 f roots of  $L_{n}^{(\\alpha)}(x)$ and  $ L_{n}^{(\\alpha +3)}(x)\,$ $\\al
 pha >-1.$\n\nThis is joint work with Jorge Arvesu Carballo and Lance Littl
 ejohn.\n\n(This talk is in English).\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mostafa Sabri (Cairo University)
DTSTART:20210208T150000Z
DTEND:20210208T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/14
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/14/">Dispersion for Schrödinger Operators on Regular Trees</
 a>\nby Mostafa Sabri (Cairo University) as part of سمينار التحل
 يل الرياضي وتطبيقاته\n\n\nAbstract\nThis talk is intende
 d as a general lecture for nonspecialists\, concerning some aspects of the
  dynamics of the Schrödinger semigroup $\\exp( itH)$ when the time $t$ ge
 ts large. We will first review some general results like the RAGE theorem.
  Then we shall narrow the discussion down to the dispersive estimates. We 
 will illustrate some basic examples\, before introducing the two models we
  are interested in. Namely\, the adjacency matrix on the infinite regular 
 tree\, and the "periodic" Schrödinger operator on the infinite regular "q
 uantum tree" or "metric tree" - namely we now deal with 1d differential op
 erators on the edges. The latter model can be regarded as an extension of 
 the case of periodic Schrödinger operators on the real line. In both case
 s we obtain a sharp dispersive decay as $t^{-3/2}$. \n\nBased on joint wor
 k with Kaïs Ammari.\n\n(This talk is in English).\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erik Koelink (Radboud Universiteit)
DTSTART:20210215T150000Z
DTEND:20210215T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/15
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/15/">Matrix valued special functions from group representatio
 ns</a>\nby Erik Koelink (Radboud Universiteit) as part of سمينار ا
 لتحليل الرياضي وتطبيقاته\n\n\nAbstract\nThere is an 
 intimate connection between special functions and group representations. F
 or compact groups this relates often to orthogonal polynomials. In this pr
 esentation we start by recalling results on spherical functions for so-cal
 led Gelfand pairs in connection to orthogonal polynomials.\nThis concept i
 s then extended to matrix valued spherical functions\, which give rise to 
 matrix valued orthogonal polynomials in several variables. The talk will b
 e introductory and focusing on an explicit example related to the compact 
 group $SU(n+1)$ of unitary matrices of determinant $1$.\nMost of the work 
 described is joint with Maarten van Pruijssen en Pablo Román.\n\n(This ta
 lk is in English).\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Youssef Abdelaziz (PhD from LPTMC - Sorbonne Université)
DTSTART:20210222T150000Z
DTEND:20210222T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/16
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/16/">Christol's conjecture: between theory and mathematical p
 ractice</a>\nby Youssef Abdelaziz (PhD from LPTMC - Sorbonne Université) 
 as part of سمينار التحليل الرياضي وتطبيقاته\n
 \n\nAbstract\nChristol's conjecture has been open since the late 80's. Chr
 istol's conjecture states that every D-Finite series (i.e. solution of a l
 inear homogeneous differential equation with polynomial coefficients)\, is
  the diagonal of a rational function. Gilles Christol himself\, and other 
 authors\, came up with a list of potential counter-examples to this conjec
 ture. The fate of these potential counter-examples remained unknown for mo
 re than thirty years. I will discuss recent progress on this problem\, and
  compare it to an earlier attempt to approach the problem that proved unsu
 ccessful.\n\n(Talk's language as the audience wishes).\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ahmed Zayed (DePaul University)
DTSTART:20210301T160000Z
DTEND:20210301T170000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/17
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/17/">Fractional Transforms and their Applications</a>\nby Ahm
 ed Zayed (DePaul University) as part of سمينار التحليل الر
 ياضي وتطبيقاته\n\n\nAbstract\nFractional calculus has a long 
 history that goes back to the 17 th century. In contrast\, the theory of f
 ractional operators and fractional integral transforms has a relatively sh
 ort history that may be counted by decades rather than by centuries. The a
 dvent of the fractional Fourier transform about 50 years ago\, a transform
  that has proved to have several physical applications\, opened the gates 
 for the introduction of many other fractional transforms\, such as fractio
 nal wavelets\, fractional Gabor\, and fractional Radon transforms\, etc. I
 n this talk I will begin by giving an overview of the theory of fractional
  integral transforms and some of its applications and conclude by a summar
 y of the state of the art.\n\n(Talk in English)\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Martin Bohner (Missouri University)
DTSTART:20210308T150000Z
DTEND:20210308T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/18
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/18/">Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Ord
 er Linear and Nonlinear Dynamic Equations</a>\nby Martin Bohner (Missouri 
 University) as part of سمينار التحليل الرياضي وتطب
 يقاته\n\n\nAbstract\nWe present several new sufficient conditions for
  Hyers--Ulam and Hyers--Ulam-Rassias stability of first-order linear and n
 onlinear dynamic equations for functions defined on a time scale with valu
 es in a Banach space.\n\n(This talk is in English).\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Richard Aoun (NYU Abu Dhabi)
DTSTART:20210315T150000Z
DTEND:20210315T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/19
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/19/">Random walks on linear groups: Limit Theorems and Statio
 nary Measures</a>\nby Richard Aoun (NYU Abu Dhabi) as part of سمينار
  التحليل الرياضي وتطبيقاته\n\n\nAbstract\nRandom wa
 lks have shown to be efficient in understanding the action of groups on sp
 aces of geometric nature. For instance\, Kesten's amenability criterion sh
 ows that a discrete group is non-amenable\, if and only if\, the  symmetri
 c random random on it returns to the origin with a probability  that decay
 s exponentially fast  to zero. When it comes to linear groups (i.e. subgro
 ups of the general linear group of fixed dimension)\, then the random walk
  is nothing than a product of invertible matrices each taken independently
  with respect to fixed probability measure. We talk then about   Random Ma
 trix Products Theory. This theory is at the intersection of Dynamical Syst
 ems/Ergodic Theory\, Probability Theory and Group Theory. It began in the 
 60's with Kesten and Furstenberg\, with applications to biological models 
 and to Schrödinger Operators. In last ten years\, the theory had unexpect
 ed applications to homogeneous dynamics thanks to the breakthrough of Beno
 ist--Quint. \n\nIn this talk\, we first give an overview of this theory\, 
 introduce the Lyapunov exponents and indicate the role of stationary measu
 res in the study of these exponents. We then expose  recent advances in th
 e topic  concerning the uniqueness of  stationary measures when the top Ly
 apunov exponent is simple (joint work with Yves Guivarc'h)  and  show the 
 law of large numbers of the spectral radius of an i.i.d random walk on the
  general linear group (joint with Cagri Sert).\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Youssri H. Youssri (Cairo University)
DTSTART:20210322T150000Z
DTEND:20210322T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/20
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/20/">New Formulas of the High-Order Derivatives of Fifth-Kind
  Chebyshev Polynomials: Spectral Solutions of the Convection-Diffusion Equ
 ation</a>\nby Youssri H. Youssri (Cairo University) as part of سمينا
 ر التحليل الرياضي وتطبيقاته\n\n\nAbstract\nThis wo
 rk is dedicated to deriving novel formulae for the high-order derivatives 
 of the Chebyshev polynomials of the fifth-kind. The high-order derivatives
  of these polynomials are expressed in terms of their original polynomials
 . The derived formulae contain certain terminating $_4F_{3}(1)$ hypergeome
 tric functions. We show that the resulting hypergeometric functions can be
  reduced in the case of the first derivative. As an important application 
 - and based on the derived formulas - a spectral tau algorithm is implemen
 ted and analyzed for numerically solving the convection-diffusion equation
 . The convergence and error analysis of the suggested double expansion is 
 investigated assuming that the solution of the problem is separable. Some 
 illustrative examples are presented to check the applicability and accurac
 y of our proposed algorithm.\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pablo Román (Universidad Nacional de Cordoba)
DTSTART:20210329T150000Z
DTEND:20210329T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/21
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/21/">Ladder relations and shift operators for a class of matr
 ix valued orthogonal polynomials</a>\nby Pablo Román (Universidad Naciona
 l de Cordoba) as part of سمينار التحليل الرياضي وتط
 بيقاته\n\n\nAbstract\nIn this talk we will discuss algebraic and dif
 ferential relations for matrix valued orthogonal polynomials (MVOPs) with 
 respect to a matrix weight of the form $W(x) = e^{−v(x)} e^{xA} e^{xA^\\
 ast}$ on the real line\, where v is a scalar polynomial of even degree wit
 h positive leading coefficient and A is a constant matrix. Using the theor
 y introduced recently by Casper and Yakimov\, we investigate the algebras 
 of differential and difference operators and we obtain ladder operators  a
 nd discrete string equations for the recurrence coefficients for these MVO
 Ps. Hermite-type matrix valued weights\, corresponding to $v(x)=x^2$\,  wi
 ll be discussed in detail. This talk will be based on recent joint papers 
 with A. Deaño\, B. Eijsvoogel (ladder relations) and M. Ismail\, E. Koeli
 nk (Hermite-type polynomials).\n\n(This talk is in English).\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre Youssef (NYU Abu Dhabi)
DTSTART:20210405T150000Z
DTEND:20210405T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/22
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/22/">The restricted invertibility principle</a>\nby Pierre Yo
 ussef (NYU Abu Dhabi) as part of سمينار التحليل الرياض
 ي وتطبيقاته\n\n\nAbstract\nWe will discuss the restricted invert
 ibility principle first put forward by Bourgain and Tzafriri\, and its sub
 sequent refinements. We will also see how it can be used to derive an appr
 oximate l1 analogue of Dvoretzky’s theorem\, a fundamental result in the
  area called Geometric Functional Analysis.\n\n(This will be most probably
  in English).\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Plamen Simeonov (University of Houston-Downtown)
DTSTART:20210524T150000Z
DTEND:20210524T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/23
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/23/">Proofs of two conjectures involving sums of normalized N
 arayana numbers</a>\nby Plamen Simeonov (University of Houston-Downtown) a
 s part of سمينار التحليل الرياضي وتطبيقاته\n\
 n\nAbstract\nThe Narayana numbers are well-known and have many application
 s in the field of combinatorics. The Narayana numbers form a triangular ar
 ray\, where the sum of the n-th row is the n-th Catalan number. We normali
 ze the Narayana numbers by dividing each entry in the n-th row by the n-th
  Catalan number. Then each row of these normalized Narayana numbers define
 s a discrete probability distribution. We investigate two new properties o
 f these normalized Narayana numbers: instead of summing along the rows\, w
 e derive the limit of the sums along the columns and the limit of the sums
  along the short diagonals.\n\n(This talk is in English).\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maxime Ingremeau (Université de Nice - Côte d'Azur)
DTSTART:20210531T150000Z
DTEND:20210531T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/24
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/24/">Spectral asymptotics of large quantum graphs</a>\nby Max
 ime Ingremeau (Université de Nice - Côte d'Azur) as part of سمينار
  التحليل الرياضي وتطبيقاته\n\n\nAbstract\nSince Wey
 l's work a century ago\, a lot of papers have studied the asymptotics of t
 he eigenvalues of the Laplacian (in a domain or on a compact manifold) in 
 the limit where the eigenvalues become large. Recently\, an other kind of 
 asymptotics has been of interest: consider a sequence of domains\, whose s
 ize grow to infinity\, and  count the asymptotic number of eigenvalues of 
 the Laplacian in these domains in a fixed spectral interval. \n\nIn this t
 alk\, we will deal with this kind of asymptotics in the case of Quantum Gr
 aphs (also known as metric graphs)\, which are just some compact one-dimen
 sional objects where Laplacians can be defined. We will then move to the r
 ealm of Open Quantum Graphs\, which are not compact\, and where waves can 
 escape to infinity through some semi-infinite leads. The analogue of the L
 aplace eigenvalues in such open systems are the scattering resonances\, wh
 ich are complex numbers that are much more delicate to study. We will obta
 in an asymptotic distribution for resonances of large quantum graphs whose
  number of leads is small compared to the total number of edges. \n\nPart 
 of this is joint work with N. Anantharaman\, M. Sabri and B. Winn\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Etienne Le Masson (Université de Cergy)
DTSTART:20210607T150000Z
DTEND:20210607T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/25
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/25/">Quantum ergodicity on large genus hyperbolic surfaces</a
 >\nby Etienne Le Masson (Université de Cergy) as part of سمينار ا
 لتحليل الرياضي وتطبيقاته\n\n\nAbstract\nAn important
  observation in quantum chaos is that high frequency waves in chaotic sett
 ings delocalise.\n\nIn this talk we will consider this question on finite 
 area hyperbolic surfaces (surfaces of curvature -1)\, a model of chaotic s
 etting. The waves will be eigenfunctions of the Laplacian and we will be i
 nterested in both discrete and continuous spectra. It is known since the p
 roof of the Quantum Ergodicity theorem that\, due to the ergodicity of the
  geodesic flow\, most high frequency eigenfunctions of the Laplacian equid
 istribute in this case. We will present a theorem showing that this equidi
 stribution phenomenon happens also for eigenfunctions in a fixed spectral 
 window when the area (or equivalently the genus) of the surface goes to in
 finity.\n\nJoint work with Tuomas Sahlsten.\n\n(This talk is in English).\
 n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Walter Bergweiler (Kiel University)
DTSTART:20211018T150000Z
DTEND:20211018T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/26
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/26/">Entire solutions of linear q-difference equations</a>\nb
 y Walter Bergweiler (Kiel University) as part of سمينار التحلي
 ل الرياضي وتطبيقاته\n\n\nAbstract\nWe consider transcende
 ntal entire solutions of linear q-difference equations with polynomial coe
 fficients. We are interested in the growth\, the zeros and the Taylor coef
 ficients of solutions. In order to study these questions we introduce the 
 Newton-Puiseux diagram associated to the equation and discuss its relation
  to the growth of the solutions. Next we determine the asymptotic behavior
  of the Taylor coefficients. We use this to show that under a suitable hyp
 othesis on the Newton-Puiseux diagram the zeros are asymptotic to finitely
  many geometric progressions. We also sharpen previous results on the grow
 th rate of entire solutions.\n\nThis talk is in English\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Sánchez Mendoza (Strasbourg University)
DTSTART:20211101T150000Z
DTEND:20211101T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/27
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/27/">Integrated Density of States of the 1D Anderson-Bernoull
 i Model</a>\nby Daniel Sánchez Mendoza (Strasbourg University) as part of
  سمينار التحليل الرياضي وتطبيقاته\n\n\nAbstra
 ct\nIn this talk\, we will describe the Integrated Density of States (IDS)
  of the 1D Anderson-Bernoulli Model as the disorder parameter goes to infi
 nity. We will show there is a countable dense set of energies at which the
  IDS can be given explicitly and does not depend on the disorder parameter
 \, provided the latter is above an energy-dependent threshold.\n\n(This ta
 lk is in English).\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Theo McKenzie (UC Berkeley)
DTSTART:20211108T150000Z
DTEND:20211108T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/28
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/28/">Many nodal domains in random regular graphs</a>\nby Theo
  McKenzie (UC Berkeley) as part of سمينار التحليل الريا
 ضي وتطبيقاته\n\n\nAbstract\nIf we partition a graph according t
 o the positive and negative components of an eigenvector of the adjacency 
 matrix\, the resulting connected subcomponents are called nodal domains. E
 xamining the structure of nodal domains has been used for more than 150 ye
 ars to deduce properties of eigenfunctions. Dekel\, Lee\, and Linial obser
 ved that according to simulations\, most eigenvectors of the adjacency mat
 rix of random regular graphs have many nodal domains\, unlike dense Erdős
 -Rényi graphs. In this talk\, we show that for the most negative eigenval
 ues of the adjacency matrix of a random regular graph\, there is an almost
  linear number of nodal domains. Joint work with Shirshendu Ganguly\, Sidh
 anth Mohanty\, and Nikhil Srivastava.\n\n(Talk is in English)\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joao Morais (ITAM)
DTSTART:20211115T150000Z
DTEND:20211115T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/29
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/29/">Contragenic Functions on Spheroidal Domains</a>\nby Joao
  Morais (ITAM) as part of سمينار التحليل الرياضي وت
 طبيقاته\n\n\nAbstract\nA contragenic function in a domain $\\Omega 
 \\subseteq \\mathbb{R}^3$ is a reduced-quaternion-valued (i.e.\, the last 
 coordinate function is zero) harmonic function\, which is orthogonal in $L
 _2(\\Omega)$ to all monogenic functions and their conjugates. Contragenici
 ty\, in contrast to harmonicity and monogenicity\, is not a local property
 . We investigate the relationships between standard orthogonal bases of ha
 rmonic and contragenic functions via computational formulas for spheroids 
 of differing eccentricities. This permits us to show that there exist nont
 rivial contragenic functions common to the spheroids of all eccentricities
 .\n\n(Talk in English)\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacob Stordal Christiansen (Lund University)
DTSTART:20211122T150000Z
DTEND:20211122T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/30
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/30/">Chebyshev Polynomials</a>\nby Jacob Stordal Christiansen
  (Lund University) as part of سمينار التحليل الرياضي 
 وتطبيقاته\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ahmed Gamal (King Faisal University)
DTSTART:20211213T160000Z
DTEND:20211213T170000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/31
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/31/">Asymptotically periodic behavior of solutions to fractio
 nal non-instantaneous impulsive semilinear differential inclusions with se
 ctorial operators</a>\nby Ahmed Gamal (King Faisal University) as part of 
 سمينار التحليل الرياضي وتطبيقاته\n\n\nAbstrac
 t\nIn this talk \, we present two results concerning the existence of S-as
 ymptotically periodic solutions for non-instantaneous impulsive ω-semilin
 ear differential inclusions of order and generated by sectorial operators.
  In the first result\, we apply a fixed point theorem for contraction mult
 ivalued functions. In the second result we use a compactness criteria in t
 he space of bounded piecewise continuous functions defined on the unbounde
 d interval. We adopt the fractional derivative in the sense of Caputo deri
 vative.\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shimaa Elesaely (Carnegie Mellon University)
DTSTART:20211220T150000Z
DTEND:20211220T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/32
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/32/">Stochastic convolution equations</a>\nby Shimaa Elesaely
  (Carnegie Mellon University) as part of سمينار التحليل ال
 رياضي وتطبيقاته\n\n\nAbstract\nStochastic convolution equati
 ons are a generalization of stochastic differential equations which have r
 ecently turned out to play an important role in financial modeling in part
 icular for the rough volatility models. The solutions of stochastic convol
 ution equations are neither semimartingales nor Markov processes in genera
 l. In order to avoid using stochastic integration with respect to non-semi
 martingales\, we use tools from the theory of finite-dimensional determini
 stic convolution equations and standard martingale and stochastic calculus
  arguments. \n\nIn this talk\, we will discuss the existence of martingale
  and pathwise solutions for stochastic convolution equations.\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessandro Duca (Laboratoire de Mathématique de Versailles)
DTSTART:20211206T150000Z
DTEND:20211206T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/33
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/33/">Well-posedness and control of the Schrödinger equation 
 by deformations of the domain</a>\nby Alessandro Duca (Laboratoire de Math
 ématique de Versailles) as part of سمينار التحليل الريا
 ضي وتطبيقاته\n\n\nAbstract\nWe consider the Schrödinger equati
 on\n\\[\n(∗) \\qquad i\\partial_tu(t) = −\\Delta u(t) \\quad \\text{on
 } \\ \\Omega(t)\n\\]\nwhere $\\Omega(t) \\subset \\mathbb{R}^N$ is a movin
 g domain depending on the time $t \\in [0\, T]$. In the first part of this
  talk\, we discuss how to provide a meaning to the solutions of such an eq
 uation defined on a time-dependent Hilbert space. We assume the existence 
 of a bounded reference domain $\\Omega_0$ and a specific family of unitary
  maps $h^♯(t) : L^2(\\Omega(t)\, \\mathbb{C}) → L^2(\\Omega_0\, \\math
 bb{C})$. The conjugation by h♯ provides a transposed equation of (∗) o
 f the form\n\\[\n(∗∗) \\qquad i\\partial_tv = h^♯(t)H(t)h_♯(t)v \\
 quad \\text{on}\\ \\Omega_0\n\\]\nwhere $h_♯ = (h^♯)^{−1}$. The Hami
 ltonian $H(t)$ is a magnetic Laplacian operator:\n\\[\nH(t) = −(\\mathrm
 {div}_x +iA) \\circ (\\nabla x + iA) − |A|^2\n\\]\nwhere A is an explici
 t magnetic potential depending on the deformation of the domain $Ω(t)$. 
 The formulation (∗∗) allows us to ensure the well-posedness of (∗) o
 n $Ω(t)$ endowed with suitable boundary conditions. The second part of t
 he talk is dedicated to the global approximate controllability of the Schr
 ödinger equation (∗) via suitable deformations of the domain. In other 
 words\, we consider any couple of quantum states $\\psi_1\, \\psi_2 ∈ L^
 2(\\Omega\, \\mathbb{C})$ where $\\Omega \\subset \\mathbb{R}^N$ is a smoo
 th domain. We show how to deform $\\Omega$ by defining a family of domains
  Ω(t) such that $\\Omega(0) = \\Omega(T) = \\Omega$ and such that the fl
 ow of the corresponding dynamics (∗) steers $\\psi_1$ close to $\\psi_2$
 . The result follows from the Hamiltonian structure of the transposed equa
 tion (∗∗).\n\nIn collaboration with Romain Joly and Dmitry Turaev\n\n(
 Talk in English)\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nadia Souayeh (University of Tunis El Manar)
DTSTART:20211227T150000Z
DTEND:20211227T160000Z
DTSTAMP:20260404T110644Z
UID:MathAnalysisCairo/34
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathA
 nalysisCairo/34/">Partial stabilization for some coupled wave system with 
 KELVIN-VOIGT damping</a>\nby Nadia Souayeh (University of Tunis El Manar) 
 as part of سمينار التحليل الرياضي وتطبيقاته\n
 \n\nAbstract\nWe consider a  system of wave equations coupled via velocity
 \, with locally and partially distributed KELVIN-VOIGT damping and with di
 fferent propagation speeds. We investigate the effectiveness of the indire
 ct control\, and we show that the stability of this kind of system depends
  on the smoothness of the damping coefficient.\n\n(Talk in English)\n
LOCATION:https://stable.researchseminars.org/talk/MathAnalysisCairo/34/
END:VEVENT
END:VCALENDAR