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BEGIN:VEVENT
UID:d2c7b426cc830b40f387cdbaf0c028e5
CATEGORIES:Discrete Math
CREATED:20250908T122634
SUMMARY:Colin Defant - Random Combinatorial Billiards and Stoned Exclusion Processes
LOCATION:Hill 705
DESCRIPTION:Speaker: Colin Defant (https://sites.google.com/view/colin-defant/home) (Ha
 rvard University)\nTitle: Random Combinatorial Billiards and Stoned Exclusi
 on Processes\nAbstract: Combinatorial billiards concerns rigid and discreti
 zed billiard systems that can be modeled combinatorially or algebraically. 
 I will introduce a random combinatorial billiard trajectory depending on so
 me fixed probability p; when p tends to 0, it recovers Thomas Lam's reduced
  random walk. This random billiard trajectory can also be interpreted as a 
 random growth process on core partitions. The analysis of the random billia
 rd trajectory relies on new finite Markov chains called stoned exclusion pr
 ocesses, which are variants of certain interacting particle systems. These 
 processes have remarkable stationary distributions determined by well-studi
 ed polynomials such as ASEP polynomials, inhomogeneous TASEP polynomials, a
 nd open boundary ASEP polynomials; in many cases, it was previously not kno
 wn how to construct Markov chains with these stationary distributions. \n \
 n \n
X-ALT-DESC;FMTTYPE=text/html:<p dir="ltr" style="line-height: 1.38; margin-top: 9pt; margin-bottom: 0pt;
 "><span style="font-size: 11pt; font-family: Lato; color: #000000; backgrou
 nd-color: transparent; font-weight: bold; font-style: normal; font-variant:
  normal; text-decoration: none; vertical-align: baseline; white-space: pre-
 wrap;">Speaker:</span><span style="font-size: 10pt; font-family: Lato; colo
 r: #000000; background-color: transparent; font-weight: bold; font-style: n
 ormal; font-variant: normal; text-decoration: none; vertical-align: baselin
 e; white-space: pre-wrap;"> </span><span style="font-size: 11pt; font-famil
 y: Lato; color: #000000; background-color: transparent; font-weight: 400; f
 ont-style: normal; font-variant: normal; text-decoration: none; vertical-al
 ign: baseline; white-space: pre-wrap;"></span><a href="https://sites.google
 .com/view/colin-defant/home" style="text-decoration: none;"><span style="fo
 nt-size: 11pt; font-family: Lato; color: #cc0000; background-color: transpa
 rent; font-weight: 400; font-style: normal; font-variant: normal; text-deco
 ration: underline; vertical-align: baseline; white-space: pre-wrap;">Colin 
 Defant</span></a><span style="font-size: 11pt; font-family: Lato; color: #0
 00000; background-color: transparent; font-weight: 400; font-style: normal;
  font-variant: normal; text-decoration: none; vertical-align: baseline; whi
 te-space: pre-wrap;"> (Harvard University)</span></p><p dir="ltr" style="li
 ne-height: 1.38; margin-top: 9pt; margin-bottom: 10pt;"><span style="font-s
 ize: 11pt; font-family: Lato; color: #000000; background-color: transparent
 ; font-weight: bold; font-style: normal; font-variant: normal; text-decorat
 ion: none; vertical-align: baseline; white-space: pre-wrap;">Title</span><s
 pan style="font-size: 11pt; font-family: Lato; color: #000000; background-c
 olor: transparent; font-weight: 400; font-style: normal; font-variant: norm
 al; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;
 ">: Random&nbsp;Combinatorial&nbsp;Billiards and Stoned Exclusion Processes
 </span></p><p><span style="font-size: 11pt; font-family: Lato; color: #0000
 00; background-color: transparent; font-weight: bold; font-style: normal; f
 ont-variant: normal; text-decoration: none; vertical-align: baseline; white
 -space: pre-wrap;">Abstract</span><span style="font-size: 11pt; font-family
 : Lato; color: #000000; background-color: transparent; font-weight: 400; fo
 nt-style: normal; font-variant: normal; text-decoration: none; vertical-ali
 gn: baseline; white-space: pre-wrap;">: Combinatorial billiards concerns ri
 gid and discretized billiard systems that can be modeled combinatorially or
  algebraically. I will introduce a random combinatorial billiard trajectory
  depending on some fixed probability p; when p tends to 0, it recovers Thom
 as Lam's reduced random walk. This random billiard trajectory can also be i
 nterpreted as a random growth process on core partitions. The analysis of t
 he random billiard trajectory relies on new finite Markov chains called sto
 ned exclusion processes, which are variants of certain interacting particle
  systems. These processes have remarkable stationary distributions determin
 ed by well-studied polynomials such as ASEP polynomials, inhomogeneous TASE
 P polynomials, and open boundary ASEP polynomials; in many cases, it was pr
 eviously not known how to construct Markov chains with these stationary dis
 tributions. </span></p><p>&nbsp;</p><p>&nbsp;</p>
DTSTAMP:20260829T151246
DTSTART;TZID=America/New_York:20250915T140000
DTEND;TZID=America/New_York:20250915T150000
SEQUENCE:0
TRANSP:OPAQUE
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