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SUMMARY:László Lovász (Budapest)
DTSTART:20201009T130000Z
DTEND:20201009T140000Z
DTSTAMP:20260404T145133Z
UID:WCS/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WCS/5
 /">Graph limits\, measures\, and flows</a>\nby László Lovász (Budapest)
  as part of Warwick Combinatorics Seminar\n\n\nAbstract\nThe theory of gra
 ph limits is only understood to a somewhat\nsatisfactory degree in the cas
 es of dense graphs and of bounded degree\ngraphs. There is\, however\, a l
 ot of interest in the intermediate cases.\nIt appears that the most import
 ant constituents of graph limits in the\ngeneral case will be Markov space
 s (Markov chains on measurable spaces\nwith a stationary distribution).\n\
 nThis motivates our goal to extend some important theorems from finite\ngr
 aphs to Markov spaces or\, more generally\, to measurable spaces. In\nthis
  talk we show that much of flow theory\, one of the most important\nareas 
 in graph theory\, can be extended to measurable spaces. In\nparticular\, t
 he Hoffman Circulation Theorem\, the Max-Flow-Min-Cut\nTheorem\, Multicomm
 odity Flow Theorem\, and several other results have\nsimple and elegant ex
 tensions to measures.\n
LOCATION:https://stable.researchseminars.org/talk/WCS/5/
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