Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Zass, Alexander"'
We prove the Gibbs variational principle for the Asakura--Oosawa model in which particles of random size obey a hardcore constraint of non-overlap and are additionally subject to a temperature-dependent area interaction. The particle size is unbounde
Externí odkaz:
http://arxiv.org/abs/2408.17170
We consider the path-integral representation of the ideal Bose gas under various boundary conditions. We show that Bose--Einstein condensation occurs at the famous critical density threshold, by proving that its $1$-particle-reduced density matrix ex
Externí odkaz:
http://arxiv.org/abs/2312.07481
We consider the Widom--Rowlinson model in which hard disks of two possible colors are constrained to a hard-core repulsion between particles of different colors, in quenched random environments. These random environments model spatially dependent pre
Externí odkaz:
http://arxiv.org/abs/2311.07146
Publikováno v:
Stochastic Process. Appl. 171, 104319 (2024)
We consider a random diffusion dynamics for an infinite system of hard spheres of two different sizes evolving in $\mathbb{R}^d$, its reversible probability measure, and its projection on the subset of the large spheres. The main feature is the occur
Externí odkaz:
http://arxiv.org/abs/2306.02672
Publikováno v:
In Stochastic Processes and their Applications May 2024 171
Autor:
Zass, Alexander
Publikováno v:
Markov Process. Relat. Fields 28, pp. 329-364 (2022)
We present general existence and uniqueness results for marked models with pair interactions, exemplified through Gibbs point processes on path space. More precisely, we study a class of infinite-dimensional diffusions under Gibbsian interactions, in
Externí odkaz:
http://arxiv.org/abs/2106.14000
Autor:
Houdebert, Pierre, Zass, Alexander
Publikováno v:
J. Appl. Prob. (2022)
We present a uniqueness result for Gibbs point processes with interactions that come from a non-negative pair potential; in particular, we provide an explicit uniqueness region in terms of activity $z$ and inverse temperature $\beta$. The technique u
Externí odkaz:
http://arxiv.org/abs/2009.06352
Autor:
Roelly, Sylvie, Zass, Alexander
Publikováno v:
J. Stat. Phys. 179 (2020), pp. 972-996
We construct marked Gibbs point processes in $\mathbb{R}^d$ under quite general assumptions. Firstly, we allow for interaction functionals that may be unbounded and whose range is not assumed to be uniformly bounded. Indeed, our typical interaction a
Externí odkaz:
http://arxiv.org/abs/1911.12800
Autor:
Rœlly, Sylvie1 (AUTHOR), Zass, Alexander1 (AUTHOR) zass@math.uni-potsdam.de
Publikováno v:
Journal of Statistical Physics. Oct2022, Vol. 189 Issue 1, p1-26. 26p.
Autor:
Rœlly, Sylvie1 (AUTHOR), Zass, Alexander1 (AUTHOR) zass@math.uni-potsdam.de
Publikováno v:
Journal of Statistical Physics. May2020, Vol. 179 Issue 4, p972-996. 25p.