Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Pietro Caputo"'
Publikováno v:
STOC
We study the mixing time of the Swendsen-Wang dynamics for the ferromagnetic Ising and Potts models on the integer lattice ℤd. This dynamics is a widely used Markov chain that has largely resisted sharp analysis because it is non-local, i.e., it ch
Publikováno v:
Annals of Probability
Annals of Probability, Institute of Mathematical Statistics, 2020, 48 (5), ⟨10.1214/20-AOP1428⟩
Ann. Probab. 48, no. 5 (2020), 2449-2493
Annals of Probability, Institute of Mathematical Statistics, 2020, 48 (5), ⟨10.1214/20-AOP1428⟩
Ann. Probab. 48, no. 5 (2020), 2449-2493
International audience; By viewing the $N$-simplex as the set of positions of $N-1$ ordered particles on the unit interval, the adjacent walk is the continuous time Markov chain obtained by updating independently at rate 1 the position of each partic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b38d3758c5cc8750928e00ca3031854b
https://hal.archives-ouvertes.fr/hal-02292734
https://hal.archives-ouvertes.fr/hal-02292734
Autor:
Pietro Caputo, Daniel Parisi
We consider spin systems in the $d$-dimensional lattice $Z^d$ satisfying the so-called strong spatial mixing condition. We show that the relative entropy functional of the corresponding Gibbs measure satisfies a family of inequalities which control t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0add0d2ad2c8ffb55267cbec50422154
http://arxiv.org/abs/2004.10574
http://arxiv.org/abs/2004.10574
Thomas Milton Liggett was a world renowned UCLA probabilist, famous for his monograph Interacting Particle Systems. He passed away peacefully on May 12, 2020. This is a perspective article in memory of both Tom Liggett the person and Tom Liggett the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e1bd81f1f837d407bd84b4b58cd04be
Autor:
Pietro Caputo, Matteo Quattropani
We study convergence to stationarity for random walks on dynamic random digraphs with given degree sequences. The digraphs undergo full regeneration at independent geometrically distributed random time intervals with parameter $\alpha$. Relaxation to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b0ea18f835f04063ba322ebf0f1e12c
http://arxiv.org/abs/1911.07025
http://arxiv.org/abs/1911.07025
Publikováno v:
Bollettino dell'Unione Matematica Italiana. 10:451-466
We consider the $$(2+1)$$ -dimensional generalized solid-on-solid (SOS) model, that is the random discrete surface with a gradient potential of the form $$|\nabla \phi |^{p}$$ , where $$p\in [1,+\infty ]$$ . We show that at low temperature, for a squ
Autor:
Julien Sohier, Pietro Caputo
Publikováno v:
Annales de la Faculté des sciences de Toulouse : Mathématiques. 26:289-318
We consider a flip dynamics for directed (1+d)-dimensional lattice paths with length L. The model can be interpreted as a higher dimensional version of the simple exclusion process, the latter corresponding to the case d=1. We prove that the mixing t