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math.PR2026
Random homomorphisms and Lipschitz functions on trees
Alon Heller, Yinon Spinka
A graph homomorphism is an integer-valued function on the vertex set of a graph that assigns values differing by exactly one to adjacent vertices. We consider uniformly random homo…
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.PR2026
Optimal factor matchings for point processes on non-amenable unimodular graphs
Yinon Spinka, Oren Yakir
Consider a unit-intensity point process on the vertex set of a transitive non-amenable unimodular graph. We study invariant matchings between and having small typic…