Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Tertuliano Franco"'
Publikováno v:
Journal of Statistical Physics. 190
We define here a \textit{directed edge reinforced random walk} on a connected locally finite graph. As the name suggests, this walk keeps track of its past, and gives a bias towards directed edges previously crossed proportional to the exponential of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::080caf358c1fca9940aef760cc4ede4b
https://doi.org/10.1007/s10955-022-03031-0
https://doi.org/10.1007/s10955-022-03031-0
In this article, we consider a one-dimensional symmetric exclusion process in weak contact with reservoirs at the boundary. In the diffusive time-scaling the empirical measure evolves according to the heat equation with Robin boundary conditions. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::664f057d16ba438b75b7ad290beb104a
http://arxiv.org/abs/2203.14417
http://arxiv.org/abs/2203.14417
Publikováno v:
Brazilian Journal of Probability and Statistics. 36
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::08630b1a759b425e6553334e513fc4f9
https://doi.org/10.1214/21-bjps515
https://doi.org/10.1214/21-bjps515
Publikováno v:
Stochastic Processes and their Applications
We consider a one-dimensional symmetric simple exclusion process in contact with slowed reservoirs: at the left (resp. right) boundary, particles are either created or removed at rates given by α ∕ n or ( 1 − α ) ∕ n (resp. β ∕ n or ( 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93e520c00b1b780703abe9127cef5682
https://doi.org/10.1016/j.spa.2018.05.005
https://doi.org/10.1016/j.spa.2018.05.005
Publikováno v:
Ann. Inst. H. Poincaré Probab. Statist. 56, no. 2 (2020), 1099-1128
We prove the non-equilibrium fluctuations for the one-dimensional symmetric simple exclusion process with a slow bond. This generalizes a result of T. Franco, A. Neumann and P. Gon\c{c}alves (2013), which dealt with the equilibrium fluctuations. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1dea15d193604443543c3ae226988ad4
https://doi.org/10.1214/19-aihp995
https://doi.org/10.1214/19-aihp995
We consider the continuous time symmetric random walk with a slow bond on $\mathbb Z$, which rates are equal to $1/2$ for all bonds, except for the bond of vertices $\{-1,0\}$, which associated rate is given by $\alpha n^{-\beta}/2$, where $\alpha\ge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::433dcd4f8f18614c4017bdeedfdf3f65
http://arxiv.org/abs/1905.08084
http://arxiv.org/abs/1905.08084
Publikováno v:
Stochastic Processes and their Applications. 126:3235-3242
We present the correct space of test functions for the Ornstein–Uhlenbeck processes defined in Franco et al. (2013). Under these new spaces, an invariance with respect to a second order operator is shown, granting the existence and uniqueness of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1e306261ef2b2a0884d2d656dde7999
https://doi.org/10.1016/j.spa.2016.06.003
https://doi.org/10.1016/j.spa.2016.06.003
Publikováno v:
Stochastic Processes and their Applications. 126:800-831
We consider the symmetric simple exclusion processes with a slow site in the discrete torus with n sites. In this model, particles perform nearest-neighbor symmetric random walks with jump rates everywhere equal to one, except at one particular site,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b10031703e02c02ff01e67cfce2ec08
https://doi.org/10.1016/j.spa.2015.09.019
https://doi.org/10.1016/j.spa.2015.09.019
Autor:
Mariana Tavares, Tertuliano Franco
In this paper we consider a symmetric simple exclusion process (SSEP) on the $d$-dimensional discrete torus $\mathbb{T}^d_N$ with a spatial non-homogeneity given by a slow membrane. The slow membrane is defined here as the boundary of a smooth simple
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2945f30c3635dbacd8ade7b8d429e714
http://arxiv.org/abs/1809.07911
http://arxiv.org/abs/1809.07911
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319668383
We prove that the equilibrium density fluctuations of the symmetric simple exclusion process in contact with slow boundaries is given by an Ornstein–Uhlenbeck process with Dirichlet, Robin or Neumann boundary conditions depending on the range of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56ef5ddcbf84fda65b195c0514d77836
https://doi.org/10.1007/978-3-319-66839-0_9
https://doi.org/10.1007/978-3-319-66839-0_9