4 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…
Hydrodynamic limit for perturbation of a hyperbolic equilibrium point in two-component systems
Benedek Valko
We consider one-dimensional, locally finite interacting particle systems with two conservation laws. The models have a family of stationary measures with product structure and we a…
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, -…