Alexander Barvinok

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math.PR2025

Computing the probability of intersection

Alexander Barvinok

Let $I^c ◯_{1}, \dots, I^c ◯_{m}$ be probability spaces, let $I^c ◯ = I^c ◯_{1} \times \dots \times I^c ◯_{m}$ be their product and let $A_{1}, \dots, A_{n} \subset I^c ◯$ be events. Suppose that each event $A…

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 $I ¨ _{1}, \dots, I ¨ _{m} : X ⟶ C$ be random variables, each depending only on a fe…