Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Speer, E. R."'
For the one-dimensional Facilitated Exclusion Process with initial state a product measure of density $\rho=1/2-\delta$, $\delta\ge0$, there exists an infinite-time limiting state $\nu_\rho$ in which all particles are isolated and hence cannot move.
Externí odkaz:
http://arxiv.org/abs/2407.02652
We consider the fluctuations in the number of particles in a box of size L^d in Z^d, d>=1, in the (infinite volume) translation invariant stationary states of the facilitated exclusion process, also called the conserved lattice gas model. When starte
Externí odkaz:
http://arxiv.org/abs/2401.16505
We describe the extremal translation invariant stationary (ETIS) states of the facilitated exclusion process on $\mathbb{Z}$. In this model all particles on sites with one occupied and one empty neighbor jump at each integer time to the empty neighbo
Externí odkaz:
http://arxiv.org/abs/2201.05175
Publikováno v:
Annales de l'Institut Henri Poincare - Probabilites et Statistiques 2023, Vol. 59, No. 2, 726--742
We describe the translation invariant stationary states (TIS) of the one-dimensional facilitated asymmetric exclusion process in continuous time, in which a particle at site $i\in\mathbb{Z}$ jumps to site $i+1$ (respectively $i-1$) with rate $p$ (res
Externí odkaz:
http://arxiv.org/abs/2010.07257
We describe the translation invariant stationary states of the one dimensional discrete-time facilitated totally asymmetric simple exclusion process (F-TASEP). In this system a particle at site $j$ in $Z$ jumps, at integer times, to site $j+1$, provi
Externí odkaz:
http://arxiv.org/abs/2003.04995
Publikováno v:
J. Stat. Mech. 123202 (2019)
We obtain the exact solution of the facilitated totally asymmetric simple exclusion process (F-TASEP) in 1D. The model is closely related to the conserved lattice gas (CLG) model and to some cellular automaton traffic models. In the F-TASEP a particl
Externí odkaz:
http://arxiv.org/abs/1904.08236
Publikováno v:
J. Stat. Phys. 166 (2017), 765-782
We investigate the following questions: Given a measure $\mu_\Lambda$ on configurations on a subset $\Lambda$ of a lattice $\mathbb{L}$, where a configuration is an element of $\Omega^\Lambda$ for some fixed set $\Omega$, does there exist a measure $
Externí odkaz:
http://arxiv.org/abs/1508.04448
Publikováno v:
J. Math. Anal. Appl. 452 (2017), no. 1, 443-468
We find necessary and sufficient conditions for the existence of a probability measure on $\mathbb{N}_0$, the nonnegative integers, whose first $n$ moments are a given $n$-tuple of nonnegative real numbers. The results, based on finding an optimal po
Externí odkaz:
http://arxiv.org/abs/1504.02989
We consider the asymptotic normalcy of families of random variables $X$ which count the number of occupied sites in some large set. We write $Prob(X=m)=p_mz_0^m/P(z_0)$, where $P(z)$ is the generating function $P(z)=\sum_{j=0}^{N}p_jz^j$ and $z_0>0$.
Externí odkaz:
http://arxiv.org/abs/1408.4153
We investigate the totally asymmetric exclusion process on Z, with the jump rate at site i given by r_i=1 for i nonzero, r_0=r. It is easy to see that the maximal stationary current j(r) is nondecreasing in r and that j(r)=1/4 for r>=1; it is a long
Externí odkaz:
http://arxiv.org/abs/1207.6555