Phase Separation for the Long Range One-dimensional Ising Model

Autor: Pierre Picco, Immacolata Merola, Marzio Cassandro

Publikováno v: Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2016, 167 (2), pp.351-382. ⟨10.1007/s10955-017-1722-1⟩
Journal of Statistical Physics, 2016, 167 (2), pp.351-382. ⟨10.1007/s10955-017-1722-1⟩

Dedicated to the memory of Enza Orlandi.; International audience; We consider the phase separation problem for the one--dimensional ferromagnetic Ising model with long--range two--body interaction, $J(n)=n^{-2+\a}$ where $n\in \N$ denotes the distanc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27c628bb73d502b551e5fbafe0fb188f
https://hal.archives-ouvertes.fr/hal-01583368

Quasi-additive estimates on the Hamiltonian for the one-dimensional long range Ising model

Autor: Jorge Littin, Pierre Picco

Publikováno v: Journal of Mathematical Physics
Journal of Mathematical Physics, American Institute of Physics (AIP), 2017, 58 (7), ⟨10.1063/1.4994034⟩
Journal of Mathematical Physics, 2017, 58 (7), ⟨10.1063/1.4994034⟩

International audience; In this work, we study the problem of getting quasi-additive bounds for the Hamiltonian of the long range Ising model, when the two-body interaction term decays proportionally to 1/d(2-alpha) , alpha is an element of (0, 1). W

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bdbd04863b85c4c7150d700a2e1385b
https://doi.org/10.1063/1.4994034

[Untitled]

Autor: Marzio Cassandro, Pierre Picco

Publikováno v: Journal of Statistical Physics. 103:841-856

We prove the existence of a phase transition in the quantum Widom–Rowlison model in two dimension. The case of Boltzmann and Bose statistics are explicitly discussed.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ecf5a488fc49f15652576302d9f7e6e5
https://doi.org/10.1023/a:1010352720562

From Classical to Modern Probability : CIMPA Summer School 2001

Autor: Pierre Picco, Jaime San Martin

This volume is based on lectures notes for the courses delivered at the Cimpa Summer School: From Classical to Modern Probability, held at Temuco, Chile, be­ th th tween January 8 and 26, 2001. This meeting brought together probabilists and graduate

Domain of attraction of quasi-stationary distributions for the brownian motion with drift

Autor: Pierre Picco, Jaime San Martín, Servet Martínez

Publikováno v: Advances in Applied Probability. 30:385-408

We consider Brownian motion with a negative drift conditioned to stay positive. We give a sufficient condition for an initial measure to be in the domain of attraction of a quasi-stationary distribution. We construct a counter-example that strongly s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6aecf22def396de44f7256e1611729e2
https://doi.org/10.1239/aap/1035228075