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SUMMARY:Renan Gross (Weizmann Institute)
DTSTART:20200511T113000Z
DTEND:20200511T123000Z
DTSTAMP:20260423T005837Z
UID:HSPETDS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HSPETDS/5/">
 Stochastic processes for Boolean profit</a>\nby Renan Gross (Weizmann Inst
 itute) as part of Horowitz seminar on probability\, ergodic theory and dyn
 amical systems\n\nLecture held in 309.\n\nAbstract\nNot even influence ine
 qualities for Boolean functions can escape the long arm of stochastic proc
 esses. I will present a (relatively) natural stochastic process which turn
 s Boolean functions and their derivatives into jump-process martingales. T
 here is much to profit from analyzing the individual paths of these proces
 ses: Using stopping times and level inequalities\, we will prove a conject
 ure of Talagrand relating edge boundaries and the influences\, and show st
 ability of KKL\, isoperimetric\, and Talagrand's influence inequality. The
  technique (mostly) bypasses hypercontractivity. Work with Ronen Eldan.\n
LOCATION:https://researchseminars.org/talk/HSPETDS/5/
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