401 citations · 522 across the 16 of their papers we have counts for
10 papers · 1 filter
Existence of a phase transition of the interchange process on the Hamming graph
Bati Sengul, Piotr Milos
The interchange process on a finite graph is obtained by placing a particle on each vertex of the graph, then at rate 1, selecting an edge uniformly at random and swapping the two…
Delocalization of two-dimensional random surfaces with hard-core constraints
Piotr Miłoś, Ron Peled
We study the fluctuations of random surfaces on a two-dimensional discrete torus. The random surfaces we consider are defined via a nearest-neighbor pair potential which we require…
U-statistics of Ornstein-Uhlenbeck branching particle system
Radosław Adamczak, Piotr Miłoś
We consider a branching particle system consisting of particles moving according to the Ornstein-Uhlenbeck process in $\Rd$ and undergoing a binary, supercritical branching with a…
CLT for U-statistics of Ornstein-Uhlenbeck branching particle system with small branching rate
Radosław Adamczak, Piotr Miłoś
In this paper we consider a branching particle system consisting of particles moving according to the Ornstein-Uhlenbeck process in R^d and undergoing a binary, supercritical branc…
Fluctuations of the occupation times for branching system starting from infinitely divisible point processes
Piotr Milos
In the paper the rescaled occupation time fluctuation process of a certain empirical system is investigated. The system consists of particles evolving independently according to α-…
Occupation times of subcritical branching immigration systems with Markov motion, clt and deviations principles
Piotr Milos
In this paper we consider two related stochastic models. The first one is a branching system consisting of particles moving according to a Markov family in R^d and undergoing subcr…