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math.PR2026
Conditioned Brownian motion and local equivalence of path ensembles
Tobias Schmidt
We study Brownian motion in R^d conditioned so that the time average of a continuous confining potential remains below a fixed level. On every fixed initial time interval, we prove…
math.PR2026
On Anti-Confinement Estimates for Self-Repelling Random Walks
Tobias Schmidt, Mark Sellke
We study a class of -dimensional random walks, including the two-dimensional simple random walk, reweighted by a self-repelling Gibbsian pair potential. We prove lower bounds on…