3 papers
math.PR2026
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…
math.PR2025
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…
math.PR2018
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…