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Asymmetric k-step exclusion process, Non-convex or non-concave flux, microscopic shock, rightmost particle (1)
Bernoulli matching model; Discrete TASEP; soft edge; weak law of large numbers; last passage model; increasing paths (1)
Directed polymers (1)
Duality; graphical representation; Feller's branching diffusion; branching-coalescing particle process; resampling-selection model; stochastic population dynamics (1)
Exclusion Processes, Interface Dynamics, Hydrodynamic limit (1)
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Aproximadamente 18 registro(s) hasta el momento: (journal)

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Recurso libre

Evolution of the interfaces in a two dimensional Potts model
Valle, Glauco; UFRJ

Formato:	Peer-reviewed Article,
Enlaces:	We investigate the evolution of the random interfaces in a two dimensional Potts model at zero temperature under Glauber dynamics for some particular initial conditions. We prove that under space-time diffusive scaling the shape of the interfaces converges in probability…
Fecha:	2007-01-01
Recurso:	Electronic journal of probability

Recurso libre

Local Energy Statistics in Directed Polymers
Kurkova, Irina; Université de Paris VI (Pierre et Marie Curie), France

Formato:	Peer-reviewed Article,
Enlaces:	Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should, in most circumstances, be the same as in the random energy model. We show that this conjecture holds true as…
Fecha:	2008-01-01
Recurso:	Electronic journal of probability

Recurso libre

Erdos-Renyi random graphs + forest fires = self-organized criticality
Rath, Balazs; Budapest University of Technology - Toth, Balint; Budapest University of Technology

Formato:	Peer-reviewed Article,
Enlaces:	We modify the usual Erdos-Renyi random graph evolution by letting connected clusters 'burn down' (i.e. fall apart to disconnected single sites) due to a Poisson flow of lightnings. In a range of the intensity of rate of lightnings the system…
Fecha:	2009-01-01
Recurso:	Electronic journal of probability

Recurso libre

The Best Bounds in a Theorem of Russell Lyons
Marchal, Philippe; Université Paris 6

Formato:	Peer-reviewed Article,
Enlaces:	We sharpen a bound in a theorem of Russell Lyons for percolation on a tree and associated random walk.
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

Recurso libre

Microscopic structure of a decreasing shock for the asymmetric $k$-step exclusion process
Guiol, Herve; IMA-EPFL - Ravishankar, Krishnamurthi; SUNY, College at New Paltz - Saada, Ellen; CNRS Rouen

Formato:	Peer-reviewed Article,
Enlaces:	The asymmetric $k$-step exclusion processes are the simplest interacting particle systems whose hydrodynamic equation may exhibit both increasing and decreasing entropic shocks under Euler scaling. We prove that, under Riemann initial condition with right density zero and adequate left density,…
Fecha:	2003-01-01
Recurso:	Electronic communications in probability

Recurso libre

Some results for poisoning in a catalytic model
Steif, Jeffrey E.; Chalmers University of Technology - Sudbury, Aidan; Monash University

Formato:	Peer-reviewed Article,
Enlaces:	We obtain new results concerning poisoning/nonpoisoning in a catalytic model which has previously been introduced and studied. We show that poisoning can occur even when the arrival rate of one gas is smaller than the sum of the arrival rates…
Fecha:	2006-01-01
Recurso:	Electronic communications in probability

Recurso libre

Density fluctuations for a zero-range process on the percolation cluster
Goncalves, Patricia C.; CMAT - U. Minho - Jara, Milton D.; Paris Dauphine

Formato:	Peer-reviewed Article,
Enlaces:	We prove that the density fluctuations for a zero-range process evolving on the $d$-dimensional supercritical percolation cluster, with $d\geq{3}$, are given by a generalized Ornstein-Uhlenbeck process in the space of distributions $\mathscr{S}'(\mathbb{R}^d)$.
Fecha:	2009-01-01
Recurso:	Electronic communications in probability

Recurso libre

A limit theorem for particle current in the symmetric exclusion process
Vandenberg-Rodes, Alexander; UC Los Angeles

Formato:	Peer-reviewed Article,
Enlaces:	Using the recently discovered strong negative dependence properties of the symmetric exclusion process, we derive general conditions for when the normalized current of particles between regions converges to the Gaussian distribution. The main novelty is that the results do not…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

Asymptotics of Certain Coagulation-Fragmentation Processes and Invariant Poisson-Dirichlet Measures
Mayer-Wolf, Eddy; Technion - Zeitouni, Ofer; Technion - Zerner, Martin P.W.; Stanford University

Formato:	Peer-reviewed Article,
Enlaces:	We consider Markov chains on the space of (countable) partitions of the interval $[0,1]$, obtained first by size biased sampling twice (allowing repetitions) and then merging the parts with probability $\beta_m$ (if the sampled parts are distinct) or splitting the…
Fecha:	2002-01-01
Recurso:	Electronic journal of probability

Recurso libre

10.

Central Limit Theorem for a Class of Linear Systems
Nagahata, Yukio; Osaka University - Yoshida, Nobuo; Kyoto University

Formato:	Peer-reviewed Article,
Enlaces:	We consider a class of interacting particle systems with values in $[0,∞)^{\mathbb{Z}^d}$, of which the binary contact path process is an example. For $d \geq 3$ and under a certain square integrability condition on the total number of the particles,…
Fecha:	2009-01-01
Recurso:	Electronic journal of probability

Recurso libre

11.

Stochastic Domination for the Ising and Fuzzy Potts Models
Warfheimer, Marcus; Chalmers University of Technology and University of Gothenburg

Formato:	Peer-reviewed Article,
Enlaces:	We discuss various aspects concerning stochastic domination for the Ising model and the fuzzy Potts model. We begin by considering the Ising model on the homogeneous tree of degree $d$, $\mathbb{T}^d$. For given interaction parameters $J_1$, $J_2>0$ and external field…
Fecha:	2010-01-01
Recurso:	Electronic journal of probability

Recurso libre

12.

Multitype Contact Process on Z: Extinction and Interface
Valesin, Daniel; École Polytechnique Fédérale de Lausanne

Formato:	Peer-reviewed Article,
Enlaces:	We consider a two-type contact process on the integers. Both types have equal finite range and supercritical infection rate. We show that a given type becomes extinct with probability 1 if and only if, in the initial configuration, it is…
Fecha:	2010-01-01
Recurso:	Electronic journal of probability

Recurso libre

13.

Self-Interacting Diffusions IV: Rate of Convergence
Benaïm, Michel; Université de Neuchâtel - Raimond, Olivier; Université Paris Ouest

Formato:	Peer-reviewed Article,
Enlaces:	Self-interacting diffusions are processes living on a compact Riemannian manifold defined by a stochastic differential equation with a drift term depending on the past empirical measure of the process. The asymptotics of this measure is governed by a deterministic dynamical…
Fecha:	2011-01-01
Recurso:	Electronic journal of probability

Recurso libre

14.

Graphical representation of some duality relations in stochastic population models
Hutzenthaler, Martin; Johann Wolfgang Goethe-Universität Frankfurt, Germany - Alkemper, Roland; Johannes-Gutenberg Universität Mainz, Germany

Formato:	Peer-reviewed Article,
Enlaces:	We derive a unified stochastic picture for the duality of a resampling-selection model with a branching-coalescing particle process (cf. MR2123250) and for the self-duality of Feller's branching diffusion with logistic growth (cf. MR2308333). The two dual processes are approximated by…
Fecha:	2007-01-01
Recurso:	Electronic communications in probability

Recurso libre

15.

A note on the ballistic limit of random motion in a random potential
Flury, Markus; University of Tuebingen

Formato:	Peer-reviewed Article,
Enlaces:	It has been shown that certain types of random walks in random potentials and Brownian motion in Poissonian potentials undergo a phase transition from sub-ballistic to ballistic behavior when the strength of the underlying drift is increased. The ballistic behavior…
Fecha:	2008-01-01
Recurso:	Electronic communications in probability

Recurso libre

16.

Some two-dimensional finite energy percolation processes
Häggström, Olle; Chalmers University of Technology - Mester, Péter; Indiana University

Formato:	Peer-reviewed Article,
Enlaces:	Some examples of translation invariant site percolation processes on the $Z^2$ lattice are constructed, the most far-reaching example being one that satisfies uniform finite energy (meaning that the probability that a site is open given the status of all others…
Fecha:	2009-01-01
Recurso:	Electronic communications in probability

Recurso libre

17.

Soft edge results for longest increasing paths on the planar lattice
Georgiou, Nicos; UW-Madison

Formato:	Peer-reviewed Article,
Enlaces:	For two-dimensional last-passage time models of weakly increasing paths, interesting scaling limits have been proved for points close the axis (the hard edge). For strictly increasing paths of Bernoulli($p$) marked sites, the relevant boundary is the line $y=px$. We call…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

18.

The Time Constant Vanishes Only on the Percolation Cone in Directed First Passage Percolation
Zhang, Yu; University of Colorado

Formato:	Peer-reviewed Article,
Enlaces:	We consider the directed first passage percolation model on $\mathbb{Z}^2$. In this model, we assign independently to each edge $e$ a passage time $t(e)$ with a common distribution $F$. We denote by $\vec{T}(0,(r,\theta))$ the passage time from the origin to…
Fecha:	2009-01-01
Recurso:	Electronic journal of probability