[ABE-L] Seminário de Probabilidade e Estatística - IME USP - 16/09 - 14h

[Aline Duarte]

Prezados colegas

na próxima sexta-feira, 16 de setembro, às 14h, acontecerá o primeiro
seminário híbrido do ciclo SPSP-IME-USP. O seminário será *presencial* e
transmitido simultaneamente pela página do evento no YouTube, no link

https://www.youtube.com/channel/UCam-BAB-Fl9cJyvzu-nLniQ


Outras informações sobre os seminários passados e próximos seminários estão
disponíveis em  https://sites.google.com/usp.br/psps-ime-usp/in%C3%ADcio


Um abraço,

Aline Duarte

________________________________



*Seminar on Probability and Stochastic Processes*


Speaker: *Dr. Gunter M. Schütz* (Universidade de Lisboa)

Next Friday, *September 16th - 2pm*

Live on: https://www.youtube.com/channel/UCam-BAB-Fl9cJyvzu-nLniQ



*Title*: Integrability, supersymmetry and duality for vicious walkers with
pair creation


*Abstract*: We study a system of independent random walkers in one
dimension that annihilate immediately when two particles meet on the same
site. In addition, pairs of particles are created randomly on neighbouring
sites. For periodic boundary conditions, a duality with independent
two-level systems which arises from the integrability of the model is
proved. The duality function is determinantal and has the form of a matrix
product. We use this duality to compute the exact current distribution. For
reflecting boundaries the Markov generator commutes with the generators of
a subalgebra of the universal enveloping algebra of the Lie superalgebra
sl(1|1) and its deformations. The supersymmetry leads to a duality between
an even and odd number of particles, respectively.
-------------- Próxima Parte ----------
Um anexo em HTML foi limpo...
URL: <http://lists.ime.usp.br/pipermail/abe/attachments/20220912/d875a0dc/attachment.htm>