30 citations · 112 across the 27 of their papers we have counts for
34 papers
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…
Convergence of rescaled "true" self-avoiding walks to the Tóth-Werner "true" self-repelling motion
Elena Kosygina, Jonathon Peterson
We prove that the rescaled ``true'' self-avoiding walk converges weakly as goes to infinity to the ``true'' self-repelling…
Analytic Solution for the Linear Rheology of Living Polymers
Vickie Chen, Charles T. Drucker, Claire Love +2
It is often said that well-entangled and fast-breaking living polymers (such as wormlike micelles) exhibit a single relaxation time in their reptation dynamics, but the full story…
Limiting distributions for RWCRE in the sub-ballistic regime and in the critical Gaussian regime
Conrado da Costa, Jonathon Peterson, Yongjia Xie
Random Walks in Cooling Random Environments (RWCRE) is a model of random walks in dynamic random environments where the environment is frozen between a fixed sequence of times (cal…
Convergence and non-convergence of scaled self-interacting random walks to Brownian motion perturbed at extrema
Elena Kosygina, Thomas Mountford, Jonathon Peterson
We use generalized Ray-Knight theorems introduced by Bálint Tóth in 1996 together with techniques developed for excited random walks as main tools for establishing positive and neg…
Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments
Luca Avena, Conrado da Costa, Jonathon Peterson
Random Walks in Cooling Random Environments (RWCRE) is a model of random walks in dynamic random environments where the entire environment is resampled along a fixed sequence of ti…