Alexander Barvinok

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20242026

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math.PR2025

Computing the probability of intersection

Alexander Barvinok

Let $Ω_{1}, \dots, Ω_{m}$ be probability spaces, let $Ω = Ω_{1} \times \dots \times Ω_{m}$ be their product and let $A_{1}, \dots, A_{n} \subset Ω$ be events. Suppose that each event $A_{i}$ de…

math.PR2024

On the zeros of partition functions with multi-spin interactions

Alexander Barvinok

Let $X_{1}, \dots, X_{n}$ be probability spaces, let $X$ be their direct product, let $ϕ_{1}, \dots, ϕ_{m} : X ⟶ C$ be random variables, each depending only on a few…