3 citations · 3 across the 5 of their papers we have counts for
6 papers · 1 filter
Functional limit theorems for self-interacting random walks
Elena Kosygina, Laure Marêché, Thomas Mountford +1
We consider a wide class of nearest neighbor self-interacting random walks on and show that, under mild conditions, their scaling limits at the process level can be un…
Extension of results on generalized Pólya's urns for polynomially self-repelling walks
Elena Kosygina, Laure Marêché, Thomas Mountford +1
This is a technical note which extends the results of Kosygina, Mountford and Peterson (Ann. Probab., 51(5):1684-1728, 2023, Section 4) about generalized Pólya's urns from a specif…
The extinction of the contact process in a one-dimensional random environment with long-range interactions
Pablo A. Gomes, Marcelo R. Hilário, Bernardo N. B. de Lima +1
We study the contact process on the long-range percolation cluster on where each edge is open with probability for . Using a r…
Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process
Christophe Bahadoran, T. Mountford, K. Ravishankar +1
We study asymmetric zero-range processes on Z with nearest-neighbour jumps and site disorder. The jump rate of particles is an arbitrary but bounded nondecreasing function of the n…
Supercritical behavior of asymmetric zero-range process with sitewise disorder
C. Bahadoran, T. Mountford, K. Ravishankar +1
We establish necessary and sufficient conditions for weak convergence to the upper invariant measure for asymmetric nearest neighbour zero range processes with non homogeneous jump…
Macroscopic stability for nonfinite range kernels
Tom S. Mountford, K. Ravishankar, Ellen Saada
We extend the strong macroscopic stability introduced in Bramson & Mountford (2002) for one-dimensional asymmetric exclusion processes with finite range to a large class of one-dim…