Alexander Barvinok

collaborators

3 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 $I^c ◯_{1}, \dots, I^c ◯_{m}$ 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…

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

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