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Prezados
colegas,
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<br />
Como parte da Escola de Verão do Instituto de Matemática da UFRJ teremos, no
início de fevereiro, o minicurso "Geodesics in first passage
percolation", por Daniel Ahlberg (IMPA). Detalhes abaixo (e no arquivo em
anexo).
<br />
<br />
Agradecemos pela divulgação.
<br />
<br />
Saudações,
<br />
<br />
Eulalia
<br />
<br />========
<br />
<br />
Escola de Verão [UTF-8?]– IM
-UFRJ
<br />
<br />
<a href="http://www.pg.im.ufrj.br/verao.html" rel="noreferrer" target="_blank">http://www.pg.im.ufrj.br/<wbr />verao.html</a>
<br />
<br />
Minicurso na área de
Probabilidade
<br />
<br />
Geodesics in first passage
percolation
<br />
<br />
Palestrante: Daniel Ahlberg
(IMPA)
<br />
<br />
Carga Horária: O minicurso terá duração de 8
horas
<br />
(quatro aulas de 2 hs
cada).
<br />
<br />
Dias e horário: Dias 6, 8, 10, e 13 de fevereiro de 2017, das 13 às
15hs.
<br />
<br />
Local: Sala B106a, Bloco B -
CT
<br />
<br />
Resumo: In first-passage percolation the edges of the Z^2
nearest-neighbour
<br />
lattice are equipped with non-negative random weights. The resulting
weighted
<br />
graph induces a random metric on Z^2. The study of infinite geodesics
in
<br />
first-passage percolation was pioneered by Newman in the 1990s. The aim
of
<br />
this mini-course will be to describe the ergodic theory for infinite
geodesics
<br />
developed in recent work of Ahlberg-Hoffman, based on previous work of
Hoffman
<br />
and Damron-Hanson. This will lead us to discuss concepts such as
coalescence,
<br />
Busemann functions and random coalescing geodesics, which are key
ingredients
<br />
in this development. Lecture 1: Basics on first-passage percolation
and
<br />
geodesics. Lecture 2: Busemann functions and competing growth. Lecture
3:
<br />
Random coalescing geodesics. Lecture 4: An ergodic theory for infinite
geodesics.
<br />
<br />
--
<br />
Maria Eulalia
Vares
<br />
Instituto de Matemática -
UFRJ
<br />
<a href="http://www.im.ufrj.br/~eulalia" rel="noreferrer" target="_blank">http://www.im.ufrj.br/~eulalia</a>
<br />
<br />
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<br />
<br />
<br />--
<br />
Maria Eulalia Vares
<br />
Instituto de Matemática - UFRJ
<br />
<a href="http://www.im.ufrj.br/~eulalia" target="_blank">http://www.im.ufrj.br/~eulalia</a>
<br />
#fica MCTI
<br />
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