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pro vyhledávání: '"Armendáriz, Inés"'
We prove a fluid limit for the coarsening phase of the condensing zero-range process on a finite number of sites. When time and occupation per site are linearly rescaled by the total number of particles, the evolution of the process is described by a
Externí odkaz:
http://arxiv.org/abs/2302.05497
Publikováno v:
In Stochastic Processes and their Applications January 2025 179
Autor:
Armendáriz, Inés, Ferrari, Pablo A., Fraiman, Daniel, Martínez, José M., Dawson, Silvina Ponce
In order to identify the infected individuals of a population, their samples are divided in equally sized groups called pools and a single laboratory test is applied to each pool. Individuals whose samples belong to pools that test negative are decla
Externí odkaz:
http://arxiv.org/abs/2005.13650
We provide two methods to construct zero-range processes with superlinear rates on ${\mathbb Z}^d$. In the first method these rates can grow very fast, if either the dynamics and the initial distribution are translation invariant or if only nearest n
Externí odkaz:
http://arxiv.org/abs/2004.12410
We construct an infinite volume spatial random permutation $(\mathsf X,\sigma)$, where $\mathsf X\subset\mathbb R^d$ is locally finite and $\sigma:\mathsf X\to \mathsf X$ is a permutation, associated to the formal Hamiltonian $$ H(\mathsf X,\sigma) =
Externí odkaz:
http://arxiv.org/abs/1906.11120
We study a model of spatial random permutations over a discrete set of points. Formally, a permutation $\sigma$ is sampled proportionally to the weight $\exp\{-\alpha \sum_x V(\sigma(x)-x)\},$ where $\alpha>0$ is the temperature and $V$ is a non-nega
Externí odkaz:
http://arxiv.org/abs/1904.03952
Publikováno v:
Probab. Theory Relat. Fields 169 (1-2), 105-175 (2017)
Zero-range processes with decreasing jump rates are known to exhibit condensation, where a finite fraction of all particles concentrates on a single lattice site when the total density exceeds a critical value. We study such a process on a one-dimens
Externí odkaz:
http://arxiv.org/abs/1507.03797
We consider Gibbs distributions on the set of permutations of $\mathbb Z^d$ associated to the Hamiltonian $H(\sigma):=\sum_{x} V(\sigma(x)-x)$, where $\sigma$ is a permutation and $V:\mathbb Z^d\to\mathbb R$ is a strictly convex potential. Call finit
Externí odkaz:
http://arxiv.org/abs/1407.6542
We prove that phase transition occurs in the dilute ferromagnetic nearest-neighbour $q$-state clock model in $\mathbb{Z}^d$, for every $q\geq 2$ and $d\geq 2$. This follows from the fact that the Edwards-Sokal random-cluster representation of the clo
Externí odkaz:
http://arxiv.org/abs/1404.4071
Autor:
Armendáriz, Inés
Publikováno v:
Annals of Applied Probability 2010, Vol. 20, No. 2, 660-695
We introduce a one-dimensional stochastic system where particles perform independent diffusions and interact through pairwise coagulation events, which occur at a nontrivial rate upon collision. Under appropriate conditions on the diffusion coefficie
Externí odkaz:
http://arxiv.org/abs/1009.5747