[ABE-L] COLMEA - 21 de setembro - PUC-Rio

[Maria Eulalia Vares]

Prezados colegas,

o próximo encontro do COLMEA, Colóquio Interinstitucional Modelos Estocásticos
e Aplicações, terá lugar no próximo dia 21, na PUC-Rio.

Programa:

14:00 - 15:20h: Carlos Hugo Jimenez (PUC-Rio)
Probabilistic methods in Asymptotic Geometric Analysis

15:40 - 17:00h: Paul Smith (Cambridge)
Towards universality in bootstrap percolation

17:00 h: Discussão e lanche

Local: Sala de reuniões do decanato do CTC. 12o andar do Prédio Cardeal Leme.
Campus da PUC-Rio, Gávea

Um cartaz para divulgação encontra-se aqui:

http://www.im.ufrj.br/~coloquiomea/cartaz/2016_09.pdf

Informações mais completas sobre o COLMEA podem ser encontradas aqui:

http://www.im.ufrj.br/~coloquiomea/

Todos são muito bem vindos. Agradecemos também pela divulgação em sua
instituição.

Atenciosamente,

o comitê organizador: Augusto Q. Teixeira (IMPA), Evaldo M.F. Curado (CBPF),
Fábio D. A. Aarão Reis (UFF), Maria Eulalia Vares (UFRJ), Mariane Branco Alves
(UFRJ), Simon Griffiths (PUC-Rio)

Resumos das palestras:

Probabilistic methods in Asymptotic Geometric Analysis
Carlos Hugo Jimenez (PUC-RIO)

In this talk we will review some probabilistic applications and tools
developed in Asymptotic Geometric Analysis. Asymptotic Geometric
Analysis is mainly concerned with geometric and linear properties of
finite dimensional objects, such as convex sets and normed spaces,
especially with the characteristic behavior that emerges when the
dimension, or a number of other relevant free parameters, is suitably
large or tends to infinity. High- dimensional systems are very
frequent in mathematics and applied sciences, hence understanding of
high-dimensional phenomena is becoming increasingly important.

Towards universality in bootstrap percolation
Paul Smith (Cambridge)

Bootstrap percolation is a broad class of monotone cellular automata,
which has links to the Glauber dynamics of the Ising model and other
areas of statistical physics. Starting with random initial conditions,
the question is to determine the threshold for complete occupation of
the underlying graph. Until relatively recently, only
nearest-neighbour models (and relatively minor variants of these
models) had been studied -- and these are now very well understood. In
this talk I will discuss a new `universality' theory for bootstrap
percolation, which has emerged in the last few years. In particular, I
will explain a classification of two-dimensional models, give more
precise results for so-called `critical' models (also in two
dimensions), and talk about a new classification theorem for higher
dimensional models.

--
Maria Eulalia Vares
Instituto de Matemática - UFRJ
http://www.im.ufrj.br/~eulalia
#fica MCTI