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math.ST2025
Joint stochastic localization and applications
Tom Alberts, Yiming Xu, Qiang Ye
Stochastic localization is a pathwise analysis technique that has emerged as a powerful tool in high-dimensional probability and sampling. In this work, we extend stochastic locali…
math.PR2025
Large deviations of geodesic midpoint fluctuations in last-passage percolation with general i.i.d. weights
Tom Alberts, Riddhipratim Basu, Sean Groathouse +1
The study of transversal fluctuations of the optimal path is a crucial aspect of the Kardar-Parisi-Zhang (KPZ) universality class. In this work, we establish the large deviation li…