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BEGIN:VEVENT
SUMMARY:Asad Lodhia (University of Michigan)
DTSTART:20200716T143000Z
DTEND:20200716T153000Z
DTSTAMP:20260404T111008Z
UID:JIPS/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/JIPS/
 1/">Matrix Means and a Novel High-dimensional Shrinkage Phenomenon</a>\nby
  Asad Lodhia (University of Michigan) as part of Junior Integrable Probabi
 lity Seminar\n\n\nAbstract\nWe analyze the impact on covariance estimation
  of taking a Harmonic mean as opposed to an arithmetic mean of a collectio
 n of Wishart Random Matrices in high dimensions. We see that the Harmonic 
 mean improves on the operator norm estimation but curiously does not impro
 ve eigenvector recovery as suggested by the Davis-Kahan Inequality. Based 
 on joint work with E. Levina and K. Levin\n
LOCATION:https://stable.researchseminars.org/talk/JIPS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yier Lin (Columbia University)
DTSTART:20200806T143000Z
DTEND:20200806T153000Z
DTSTAMP:20260404T111008Z
UID:JIPS/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/JIPS/
 2/">Lyapunov exponents of the SHE for general initial data</a>\nby Yier Li
 n (Columbia University) as part of Junior Integrable Probability Seminar\n
 \n\nAbstract\nWe consider the 1+1 dimensional stochastic heat equation (SH
 E) with multiplicative white noise and the Cole-Hopf solution of the Karda
 r-Parisi-Zhang (KPZ) equation. We show an exact way of computing the Lyapu
 nov exponents of the SHE for a large class of initial data which includes 
 any bounded deterministic positive initial data and the stationary initial
  data. As a consequence\, we derive exact formulas for the upper tail larg
 e deviation rate functions of the KPZ equation for general initial data. J
 oint work with Promit Ghosal.\n\nGo to https://sites.google.com/view/junio
 r-ips for zoom link and password.\n
LOCATION:https://stable.researchseminars.org/talk/JIPS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ofer Busani (University of Bristol)
DTSTART:20200813T160000Z
DTEND:20200813T170000Z
DTSTAMP:20260404T111008Z
UID:JIPS/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/JIPS/
 3/">Universality of geodesic tree in last passage percolation</a>\nby Ofer
  Busani (University of Bristol) as part of Junior Integrable Probability S
 eminar\n\n\nAbstract\nIn Last Passage Percolation (LPP) one assumes i.i.d.
  weights on the lattice Z^2. The geodesic from the anti-diagonal h(x)=-x t
 o the point (N\,N) is an up-right path starting from h and terminating at 
 (N\,N) on which the total weight is maximal. Consider now a cylinder H of 
 width εN^2/3 and length ε^{3/2-}N centered around the point (N\,N) and a
 long the straight line going from the point (0\,0) to the point (N\,N). Th
 e geodesic tree consists of all the geodesics going from h and terminating
  in the cylinder H. We show that for exponential LPP\, for a large class o
 f weights on h(x) and with high probability\, the geodesic tree coincides 
 on H with a universal stationary tree.\n
LOCATION:https://stable.researchseminars.org/talk/JIPS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jimmy He (Stanford University)
DTSTART:20200821T000000Z
DTEND:20200821T010000Z
DTSTAMP:20260404T111008Z
UID:JIPS/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/JIPS/
 4/">Limit theorems for descents of Mallows permutations</a>\nby Jimmy He (
 Stanford University) as part of Junior Integrable Probability Seminar\n\n\
 nAbstract\nThe Mallows measure on the symmetric group gives a way to gener
 ate random permutations which are more likely to be sorted than not. There
  has been a lot of recent work to try and understand the limiting properti
 es of Mallows permutations. I'll discuss recent work on the joint distribu
 tion of descents\, a statistic counting the number of "drops" in a permuta
 tion\, and descents in its inverse\, generalizing work of Chatterjee and D
 iaconis\, and Vatutin. The proof is new even in the uniform case and uses 
 Stein's method with a size-bias coupling as well as a regenerative represe
 ntation of Mallows permutations.\n
LOCATION:https://stable.researchseminars.org/talk/JIPS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guilherme Silva (Universidade de São Paulo)
DTSTART:20200903T140000Z
DTEND:20200903T150000Z
DTSTAMP:20260404T111008Z
UID:JIPS/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/JIPS/
 5/">Periodic TASEP: when integrable systems meet integrable probability (o
 nce again)</a>\nby Guilherme Silva (Universidade de São Paulo) as part of
  Junior Integrable Probability Seminar\n\n\nAbstract\nIt is well-known tha
 t the Tracy-Widom distributions admit representations involving solutions 
 to particular integrable systems. Other marginals of the KPZ fixed point\,
  such as the Airy2 process\, also admit similar representations. And very 
 recently\, first by Quastel and Remenik and shortly afterwards by Le Douss
 al\, statistics of the KPZ fixed point were found to be connected to the K
 P equation.\n\nIn this talk\, we plan to overview some analogue connection
 s\, but now for distributions of the periodic TASEP (pTASEP)\, which are b
 elieved to be the universal analogue of the KPZ universality class for per
 iodic setup. For the step periodic initial condition\, we compare the limi
 ting one-point distribution of the pTASEP with the GUE Tracy-Widom distrib
 ution\, highlighting the key features that allow to connect both of them t
 o coupled systems of mKdV and heat equations. We also discuss some asympto
 tic properties of this limiting distribution\, showing that it interpolate
 s between the GUE Tracy-Widom and a Gaussian. For pTASEP with general init
 ial condition\, we also explain how very few analytic aspects of its limit
 ing one-point distribution give a connection with the KP equation\, in ana
 logous way to Quastel-Remenik’s mentioned result. This talk is based on 
 joint work with Jinho Baik (University of Michigan) and Zhipeng Liu (Unive
 rsity of Kansas). Time permitting\, we also briefly discuss a work in prog
 ress with Jinho Baik and Andrei Prokhorov (University of Michigan)\, great
 ly extending the mentioned results to multipoint distributions.\n
LOCATION:https://stable.researchseminars.org/talk/JIPS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sung-Soo Byun (Seoul National University)
DTSTART:20200910T140000Z
DTEND:20200910T150000Z
DTSTAMP:20260404T111008Z
UID:JIPS/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/JIPS/
 6/">A non-Hermitian generalisation of the Marchenko-Pastur distribution: f
 rom the circular law to multi-criticality</a>\nby Sung-Soo Byun (Seoul Nat
 ional University) as part of Junior Integrable Probability Seminar\n\n\nAb
 stract\nIn this talk\, I will discuss complex eigenvalues of the product o
 f two rectangular complex Ginibre matrices that are correlated through a n
 on-Hermiticity parameter.\n\nIn the first half\, I will present the limiti
 ng spectral distribution of the model\, which interpolates between classic
 al results for random matrices on the global scale\, the circular law and 
 the Marchenko-Pastur distribution. In the second half\, I will explain the
  microscopic behaviours of the model\, which includes the limiting local c
 orrelation kernel at multi-criticality\, where the interior of the spectru
 m splits into two connected components.\n\nThe global statistics follows f
 rom the solution of certain equilibrium measure problem and concentration 
 for the 2D Coulomb gases on Frostman’s equilibrium measure\, whereas the
  local statistics follows from a saddle point analysis of the kernel of or
 thogonal Laguerre polynomials in the complex plane.\n\nThis is based on jo
 int work with Gernot Akemann and Nam-Gyu Kang.\n
LOCATION:https://stable.researchseminars.org/talk/JIPS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrew Ahn (Columbia University)
DTSTART:20200925T160000Z
DTEND:20200925T170000Z
DTSTAMP:20260404T111008Z
UID:JIPS/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/JIPS/
 7/">Addition of Random Matrices and Quantized Analogues</a>\nby Andrew Ahn
  (Columbia University) as part of Junior Integrable Probability Seminar\n\
 n\nAbstract\nThe main objects of this talk are particle processes coming f
 rom the eigenvalues of sums of unitarily invariant random matrices and qua
 ntized analogues which arise from tensor products of irreducible represent
 ations of the unitary group. We outline an integrable probability approach
  to obtaining Airy point process fluctuations at the edge under an asympto
 tic regime where the number of summands or tensor products is sufficiently
  large.\n
LOCATION:https://stable.researchseminars.org/talk/JIPS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dominik Schmid (TU Munich)
DTSTART:20201009T140000Z
DTEND:20201009T150000Z
DTSTAMP:20260404T111008Z
UID:JIPS/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/JIPS/
 8/">The TASEP on trees</a>\nby Dominik Schmid (TU Munich) as part of Junio
 r Integrable Probability Seminar\n\n\nAbstract\nWe study the totally asymm
 etric simple exclusion process (TASEP) on rooted trees. This means that pa
 rticles are generated at the root and can only jump in the direction away 
 from the root under the exclusion constraint. Our interests are two-fold. 
 On the one hand\, we study invariant measures for the TASEP on trees and p
 rovide sufficient conditions for the existence of non-trivial equilibrium 
 distributions. On the other hand\, we consider the evolution of the TASEP 
 on trees when all sites are initially empty and study currents.\n\nThis ta
 lk is based on joint work with Nina Gantert and Nicos Georgiou.\n
LOCATION:https://stable.researchseminars.org/talk/JIPS/8/
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