6 papers · 1 filter
Random Trees and General Branching Processes
Anna Rudas, Balint Toth, Benedek Valko
We consider a model of random tree growth, where at each time unit a new vertex is added and attached to an already existing vertex chosen at random. The probability with which a v…
Onsager relations and Eulerian hydrodynamics for systems with several conservation laws
Balint Toth, Benedek Valko
We present the derivation of the hydrodynamic limit under Eulerian scaling for a general class of one-dimensional interacting particle systems with two or more conservation laws. F…
Between equilibrium fluctuations and Eulerian scaling: Perturbation of equilibrium for a class of deposition models
Balint Toth, Benedek Valko
We investigate propagation of perturbations of equilibrium states for a wide class of 1D interacting particle systems. The class of systems considered incorporates zero range, -…
A signal-recovery system: asymptotic properties and construction of an infinite volume limit
Jacob van den Berg, Balint Toth
We consider a linear sequence of `nodes', each of which can be in state 0 (`off') or 1 (`on'). Signals from outside are sent to the rightmost node and travel instantaneously as far…
Favourite sites of simple random walk
Zhan Shi, Balint Toth
We survey the current status of the list of questions related to the favourite (or: most visited) sites of simple random walk on Z, raised by Pal Erdos and Pal Revesz in the early…
No more than three favourite sites for simple random walk
Balint Toth
We prove that, with probability one, eventually there are no more than three favourite (i.e. most visited) sites of simple random walk. This partially answers a relatively long sta…