se corrige afiiliacion de Jairo Bochi para Penn State University en conferencias y se actualiza datos de curso de Roberto Imbuzeiro
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pdf: ''
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speaker:
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nombre: Jairo Bochi
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afiliacion: Universidad Católica de Chile
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afiliacion: Penn State University
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web: http://www.mat.uc.cl/~jairo.bochi/
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- titulo: Symmetrical optimal partitions for the Yamabe equation
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abstract: |
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web: http://conteudo.icmc.usp.br/pessoas/smania/
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- categoria: Cursos
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charlas:
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- titulo: TBA
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abstract: ''
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- titulo: Reversible Markov chains with nonnegative spectrum
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abstract: A Markov chain is a random process whose "memory"~of its own trajectory consists of its present state. Chains on finite spaces may be analysed through their spectrum. Under a crucial ``reversibility"~property that is satisfied in many applications, the spectrum is real and the difference between the two largest eigenvalues is the so-called spectral gap. We will present a simple comparison idea that often gives us the best possible estimates for several chain parameters in terms of the spectral gap. In particular, we re-obtain and improve upon several known results on hitting, meeting, and intersection times; return probabilities; and concentration inequalities for time averages. We then specialize to the graph setting, and obtain sharp inequalities in that setting. This course contains new and old results and is based on joint work with Yuval Peres.
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pdf: ''
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speaker:
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nombre: Roberto Imbuzeiro
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