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math.PR2026
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…
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.PR2026
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…