Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Frank Redig"'
Autor:
Jean-René Chazottes, Frank Redig
Publikováno v:
Entropy, Vol 24, Iss 11, p 1513 (2022)
For a general class of lattice spin systems, we prove that an abstract Gaussian concentration bound implies positivity of the lower relative entropy density. As a consequence, we obtain uniqueness of translation-invariant Gibbs measures from the Gaus
Externí odkaz:
https://doaj.org/article/f9072cd717714dcb901e6b278c0a25d1
Autor:
Jean-René Chazottes, Frank Redig
Publikováno v:
Entropy; Volume 24; Issue 11; Pages: 1513
Entropy: international and interdisciplinary journal of entropy and information studies, 24(11)
Entropy: international and interdisciplinary journal of entropy and information studies, 24(11)
For a general class of lattice-spin systems, we prove that an abstract Gaussian concentration bound implies positivity of lower relative entropy density. As a consequence we obtain uniqueness of translation-invariant Gibbs measures from the Gaussian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ecaa62205086dd8a9a86bae68302434d
Publikováno v:
Electronic Journal of Probability, 26
Inspired by the works in [1] and [8] we introduce what we call $k$-th-order fluctuation fields and study their scaling limits. This construction is done in the context of particle systems with the property of orthogonal self-duality. This type of dua
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59498fdbb8210ead78d065d1a23339ff
http://resolver.tudelft.nl/uuid:8ff5bc43-16ad-4587-befa-eea1717e11f0
http://resolver.tudelft.nl/uuid:8ff5bc43-16ad-4587-befa-eea1717e11f0
Publikováno v:
Stochastic Processes and their Applications, 142
In this paper, we introduce a random environment for the exclusion process in $\mathbb{Z}^d$ obtained by assigning a maximal occupancy to each site. This maximal occupancy is allowed to randomly vary among sites, and partial exclusion occurs. Under t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a832945e889fc371b063b649c2b20a2e
https://hdl.handle.net/11368/3043505
https://hdl.handle.net/11368/3043505
We consider spin-flip dynamics of configurations in $\{-1,1\}^{\mathbb{Z}^d}$, and study the time evolution of concentration inequalities. For "weakly interacting" dynamics we show that the Gaussian concentration bound is conserved in the course of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62dd9f04ea48e6bb46f6b4b0f553e879
Publikováno v:
Journal of Statistical Physics, 183(3)
We study a model of active particles that perform a simple random walk and on top of that have a preferred direction determined by an internal state which is modelled by a stationary Markov process. First we calculate the limiting diffusion coefficie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c813ed8209a66fe73ca66bfd1a09fdf
Publikováno v:
Electronic Journal of Probability, 26
We consider consistent particle systems, which include independent random walkers, the symmetric exclusion and inclusion processes, as well as the dual of the KMP model. Consistent systems are such that the distribution obtained by first evolving $n$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::697384128c98741a47f82d1da7058d13
http://resolver.tudelft.nl/uuid:d458468a-2b60-48db-a7a4-8321577a2836
http://resolver.tudelft.nl/uuid:d458468a-2b60-48db-a7a4-8321577a2836
Publikováno v:
Ann. Appl. Probab. 30, no. 4 (2020), 1934-1970
Annals of Applied Probability, 30(4)
Annals of Applied Probability, 30(4)
We consider two particles performing continuous-time nearest neighbor random walk on $\mathbb Z$ and interacting with each other when they are at neighboring positions. Typical examples are two particles in the partial exclusion process or in the inc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05abf6f540b670ec97dd11d49c1b7e3e
https://doi.org/10.1214/19-aap1548
https://doi.org/10.1214/19-aap1548
We consider symmetric partial exclusion and inclusion processes in a general graph in contact with reservoirs, where we allow both for edge disorder and well-chosen site disorder. We extend the classical dualities to this context and then we derive n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a07268bfb39c28455c2393876880348
http://arxiv.org/abs/2007.08272
http://arxiv.org/abs/2007.08272
Publikováno v:
Electronic Journal of Probability, 25
Electron. J. Probab.
Electronic Journal of Probability
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2020, 25 (article no. 138), pp.1-47. ⟨10.1214/20-EJP536⟩
Electron. J. Probab.
Electronic Journal of Probability
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2020, 25 (article no. 138), pp.1-47. ⟨10.1214/20-EJP536⟩
We consider the symmetric simple exclusion process in $\mathbb Z^d$ with quenched bounded dynamic random conductances and prove its hydrodynamic limit in path space. The main tool is the connection, due to the self-duality of the process, between the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b72e1d8240609c73e4fdaed066bcd639
http://resolver.tudelft.nl/uuid:b14b4d40-20cc-4199-8791-70fd67058cb8
http://resolver.tudelft.nl/uuid:b14b4d40-20cc-4199-8791-70fd67058cb8