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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Speaker: Jimmy He (MIT)\n\nTitle: Random walks on finite fields
with deterministic jumps\n\nAbstract: Recently\, Chatterjee and Diaconis s
howed that most bijections\, if applied between steps of a Markov chain\, c
ause the resulting chain to mix much faster. However\, explicit examples of
this speedup phenomenon are rare. I will discuss recent work studying such
walks on finite fields where the bijection is algebraically defined. This
work gives a large collection of examples where this speedup phenomenon occ
urs. These walks can be seen as a non-linear analogue of the Chung-Diaconis
-Graham process\, where the bijection is multiplication by a non-zero eleme
nt of the finite field. This work is partially joint with Huy Pham and Max
Xu.
DTEND:20210913T213000Z
DTSTAMP:20211201T121620Z
DTSTART:20210913T200000Z
GEO:42.358262;-71.090045
LOCATION:Building 2\, Room: 2-147
SEQUENCE:0
SUMMARY:MIT Probability Seminar
UID:tag:localist.com\,2008:EventInstance_37759179629355
URL:http://calendar.mit.edu/event/mit_probability_seminar_20210913
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