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SUMMARY:Renan Gross (Weizmann Institute of Science)
DTSTART:20201207T200000Z
DTEND:20201207T210000Z
DTSTAMP:20260404T145131Z
UID:paw/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/paw/9
 /">Stochastic Processes for Boolean Profit</a>\nby Renan Gross (Weizmann I
 nstitute of Science) as part of Probability and Analysis Webinar\n\n\nAbst
 ract\nNot even influence inequalities for Boolean functions can escape the
  long arm of stochastic processes. I will present a (relatively) natural s
 tochastic process which turns Boolean functions and their derivatives into
  jump-process martingales. There is much to profit from analyzing the indi
 vidual paths of these processes: Using stopping times and level inequaliti
 es\, we will reprove an inequality of Talagrand relating edge boundaries a
 nd the influences\, and say something about functions which almost saturat
 e the inequality. The technique (mostly) bypasses hypercontractivity. Work
  with Ronen Eldan.\n
LOCATION:https://stable.researchseminars.org/talk/paw/9/
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