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UID:www.tcs.tifr.res.in/event/1009
DTSTAMP:20230914T125947Z
SUMMARY:Limit of the Right-Most Position of a Modified Branching Random Wal
 k
DESCRIPTION:Speaker: Antar Bandyopadhyay (Indian Statistical Institute\nNew
  Delhi Centre)\n\nAbstract: \nAbstract: In this talk\, we consider a modif
 ication of the usual Branching Random Walk (BRW)\, where at the last step 
 we give certain displacements which may be different from the increments. 
 Under very minimal assumption on the underlying point process we show that
  the maximum displacement converges to a limit after only an appropriate c
 entering. We further show that the centering term is $c_1 n + c_2 \\log n$
  and give explicit formula for the constants $c_1$ and $c_2$. If the under
 lying point process is i.i.d. displacements then we show that $c_1$ is exa
 ctly same and $c_2$ is $1/3$-of the corresponding constants of the usual B
 RW. Our proofs are based on a novel method of coupling with a more well st
 udied process known as the smoothing transformation.\n[This is a joint wor
 k with Partha Pratim Ghosh]\n
URL:https://www.tcs.tifr.res.in/web/events/1009
DTSTART;TZID=Asia/Kolkata:20191022T160000
DTEND;TZID=Asia/Kolkata:20191022T170000
LOCATION:A-201 (STCS Seminar Room)
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