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math.PR2026
A noisy min-max game on trees
Omer Angel, Gourab Ray, Yinon Spinka
We study a noisy version of a min-max type zero-sum game on the -ary tree. Each edge of the tree is assigned an i.i.d.\ cookie, distributed uniformly on . The game is…
math.PR2025
Local limit of the focusing discrete NLS
Kesav Krishnan, Gourab Ray
We examine the behavior of a function sampled from the invariant measure associated to the focusing discrete Non Linear Schrödinger equation, defined on a discrete torus of dimens…
math.PR2024
On the local convergence of integer-valued Lipschitz functions on regular trees
Nathaniel Butler, Kesav Krishnan, Gourab Ray +1
We study random integer-valued Lipschitz functions on regular trees. It was shown by Peled, Samotij and Yehudayoff that such functions are localized, however, finer questions about…