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 speci…
math.PR2025
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…
math.PR2025
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…