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SUMMARY:László Lovász (Budapest)
DTSTART:20201009T130000Z
DTEND:20201009T140000Z
DTSTAMP:20260423T003252Z
UID:WCS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WCS/5/">Grap
 h limits\, measures\, and flows</a>\nby László Lovász (Budapest) as par
 t of Warwick Combinatorics Seminar\n\n\nAbstract\nThe theory of graph limi
 ts is only understood to a somewhat\nsatisfactory degree in the cases of d
 ense graphs and of bounded degree\ngraphs. There is\, however\, a lot of i
 nterest in the intermediate cases.\nIt appears that the most important con
 stituents of graph limits in the\ngeneral case will be Markov spaces (Mark
 ov chains on measurable spaces\nwith a stationary distribution).\n\nThis m
 otivates our goal to extend some important theorems from finite\ngraphs to
  Markov spaces or\, more generally\, to measurable spaces. In\nthis talk w
 e show that much of flow theory\, one of the most important\nareas in grap
 h theory\, can be extended to measurable spaces. In\nparticular\, the Hoff
 man Circulation Theorem\, the Max-Flow-Min-Cut\nTheorem\, Multicommodity F
 low Theorem\, and several other results have\nsimple and elegant extension
 s to measures.\n
LOCATION:https://researchseminars.org/talk/WCS/5/
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