Výsledky vyhledávání - "Rodrigo Bissacot"

DLR Measures and Volume-Type Phase Transitions in Markov shifts with Enumerable Alphabet

Autor: Rodrigo Bissacot Proença, Elmer Rusbert Calderón Beltrán

Publikováno v: Biblioteca Digital de Teses e Dissertações da USP
Universidade de São Paulo (USP)
instacron:USP

Introduzimos a extensão natural da definição de medida DLR para medidas sigma-finitas em shift de Markov com alfabeto enumerável. Provamos que o conjunto de medidas DLR contém o conjunto de medidas conformes associadas aos potenciais satisfazend

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8500d90fcd6dce73338ebf0f92fcd2c

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Infinite DLR Measures and Volume-Type Phase Transitions on Countable Markov Shifts

Autor: Eric O. Endo, Rodrigo Bissacot, Elmer R. Beltran

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We consider the natural definition of DLR measure in the setting of $\sigma$-finite measures on countable Markov shifts. We prove that the set of DLR measures contains the set of conformal measures associated with Walters potentials. In the BIP case,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acca46186949d1984366f281d3f579fc
http://arxiv.org/abs/2008.03463

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Counting contours on trees

Autor: Eric O. Endo, Rodrigo Bissacot, Noga Alon

Publikováno v: Letters in Mathematical Physics, 107(5), 887-899. SPRINGER
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We calculate the exact number of contours of size $n$ containing a fixed vertex in $d$-ary trees and provide sharp estimates for this number for more general trees. We also obtain a characterization of the locally finite trees with infinitely many co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17b7f80b19c4924a872a2fb1aa014691
https://doi.org/10.1007/s11005-016-0927-6

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Zero-temperature phase diagram for double-well type potentials in the summable variation class

Autor: Philippe Thieullen, Rodrigo Bissacot, Eduardo Garibaldi

Publikováno v: Ergodic Theory and Dynamical Systems
Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2018, 38 (3)
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We study the zero-temperature limit of the Gibbs measures of a class of long-range potentials on a full shift of two symbols $\{0,1\}$. These potentials were introduced by Walters as a natural space for the transfer operator. In our case, they are lo

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https://doi.org/10.1017/etds.2016.57

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Contour Methods for Long-Range Ising Models: Weakening Nearest-Neighbor Interactions and Adding Decaying Fields

Autor: Aernout C. D. van Enter, Eric O. Endo, Bruno Kimura, Rodrigo Bissacot, Wioletta M. Ruszel

Publikováno v: Annales Henri Poincaré, 19(8), 2557-2574. Springer International Publishing AG
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We consider ferromagnetic long-range Ising models which display phase transitions. They are long-range one-dimensional Ising ferromagnets, in which the interaction is given by $J_{x,y} = J(|x-y|)\equiv \frac{1}{|x-y|^{2-\alpha}}$ with $\alpha \in [0,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a1e50dc735325db40283d56407b9f36
https://research.rug.nl/en/publications/b6b49ba2-1116-4234-80ba-49b164417f48

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Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields

Autor: Aernout C. D. van Enter, Eric O. Endo, Rodrigo Bissacot

Publikováno v: Stochastic processes and their applications, 127(12), 4126-4138. ELSEVIER SCIENCE BV
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We consider the ferromagnetic Ising model with spatially dependent external fields on a Cayley tree, and we investigate the conditions for the existence of the phase transition for a class of external fields, asymptotically approaching a homogeneous

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc80e9dbdceb5ba8e72fd260d28b25ee
https://research.rug.nl/en/publications/4270d07b-fd94-4d3d-a470-332642d15224

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Entropic repulsion and lack of the $g$-measure property for Dyson models

Autor: Aernout C. D. van Enter, Eric O. Endo, Arnaud Le Ny, Rodrigo Bissacot

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Communications in Mathematical Physics, 363(3), 767-788. Nature Publishing Group

We consider Dyson models, Ising models with slow polynomial decay, at low temperature and show that its Gibbs measures deep in the phase transition region are not $g$-measures. The main ingredient in the proof is the occurrence of an entropic repulsi

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http://arxiv.org/abs/1705.03156

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An Improvement of the Lovász Local Lemma via Cluster Expansion

Autor: Roberto Fernández, Benedetto Scoppola, Rodrigo Bissacot, Aldo Procacci

Publikováno v: Combinatorics, Probability and Computing. 20:709-719

An old result by Shearer relates the Lovász local lemma with the independent set polynomial on graphs, and consequently, as observed by Scott and Sokal, with the partition function of the hard-core lattice gas on graphs. We use this connection and a

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https://doi.org/10.1017/s0963548311000253

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Weak KAM methods and ergodic optimal problems for countable Markov shifts

Autor: Eduardo Garibaldi, Rodrigo Bissacot

Publikováno v: Bulletin of the Brazilian Mathematical Society, New Series. 41:321-338

Let $\sigma:\boldsymbol{\Sigma}\to\boldsymbol{\Sigma}$ be the left shift acting on $ \boldsymbol{\Sigma} $, a one-sided Markov subshift on a countable alphabet. Our intention is to guarantee the existence of $\sigma$-invariant Borel probabilities tha

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https://doi.org/10.1007/s00574-010-0014-z

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Phase Transitions in Ferromagnetic Ising Models with spatially dependent magnetic fields

Autor: Errico Presutti, Leandro Cioletti, Marzio Cassandro, Rodrigo Bissacot

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

In this paper we study the nearest neighbor Ising model with ferromagnetic interactions in the presence of a space dependent magnetic field which vanishes as $|x|^{-\alpha}$, $\alpha >0$, as $|x|\to \infty$. We prove that in dimensions $d\ge 2$ for a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bf81f9b7446d1fc102516aba9979d40
http://arxiv.org/abs/1403.7961

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