4 citations · 4 across the 5 of their papers we have counts for
6 papers
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…
True self-repelling motion above a general barrier
Laure Marêché
The true self-repelling motion is a continuous-time random process which was introduced by Tóth and Werner in 1998 to be a limit for the "true" self-avoiding random walk defined by…
Sharpness for monotone absorbing Interacting Particle Systems
Jean Bérard, Barbara Dembin, Laure Marêché
We prove a sharpness result for the dynamics of finite-range Interacting Particle Systems (IPS) on , which generalizes to a whole class of IPS the sharpness result…
Fixation for -Ising and -voter dynamics with frozen vertices
Laure Marêché
The zero-temperature stochastic Ising model is a special case of the famous stochastic Ising model of statistical mechanics, and the voter model is another classical model in this…
Limit theorems for the trajectory of the self-repelling random walk with directed edges
Laure Marêché, Thomas Mountford
The self-repelling random walk with directed edges was introduced by Tóth and Vető in 2008 as a nearest-neighbor random walk on that is non-Markovian: at each step, th…