Alexander Barvinok

activity

20242026

collaborators

4 papers

math-ph2026

On the dependence of the zero-free region of a partition function on the external field

Alexander Barvinok

Let ${0, 1}^{n}$ be the Boolean cube, endowed with the probability product measure, where $P (1) = p$ and $P (0) = q$ with $0 < p \leq q$ and $p + q = 1$ . For $i = 1, \dots, m$ ,…

cs.DS2026

Computing Gaussian and exponential integrals in $R^{n}$

Alexander Barvinok

We consider expectations of the type $E exp {\sum_{i = 1}^{m} ϕ_{i}}$ , where $ϕ_{i} : R^{n} ⟶ C$ are functions, each depending on a few coordinates…

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…

On the dependence of the zero-free region of a partition function on the external field

Computing Gaussian and exponential integrals in Rn

Computing the probability of intersection

On the zeros of partition functions with multi-spin interactions

Computing Gaussian and exponential integrals in $R^{n}$