4 papers
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…
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 dimensi…
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…
Uniqueness and CLT for the Ground State of the Disordered Monomer-Dimer Model on
Kesav Krishnan, Gourab Ray
We prove that the disordered monomer-dimer model does not admit infinite volume incongruent ground states in which can be obtained as a limit of finite volume ground…