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math.PR2025
Optimal matchings of randomly perturbed lattices
Dor Elboim, Yinon Spinka, Oren Yakir
Consider a point process in Euclidean space obtained by perturbing the integer lattice with independent and identically distributed random vectors. Under mild assumptions on the la…
math.PR2025
Finitary codings and stochastic domination for Poisson representable processes
Yinon Spinka
Construct a random set by independently selecting each finite subset of the integers with some probability depending on the set up to translations and taking the union of the selec…
math.PR2025
A new proof of finitary isomorphism for Markov chains
Yinon Spinka
We give a new proof of a result of Rudolph stating that a countable-state mixing Markov chain with exponential return times is finitarily isomorphic to an IID process. Besides bein…