Alexander P. Zimin

collaborators

4 papers

math.PR2020

On existence of measure with given marginals supported on a hyperplane

Alexander P. Zimin

Let ${μ_{k}}_{k = 1}^{N}$ be absolutely continuous probability measures on the real line such that every measure $μ_{k}$ is supported on the segment $[l_{k}, r_{k}]$ and the density functi…

math.FA2020

The multistochastic Monge-Kantorovich problem

Nikita A. Gladkov, Alexander V. Kolesnikov, Alexander P. Zimin

The multistsochastic Monge--Kantorovich problem on the product $X = \prod_{i = 1}^{n} X_{i}$ of $n$ spaces is a generalization of the multimarginal Monge--Kantorovich problem. For a give…

math.PR2018

Dependency-dependent Bounds for Sums of Dependent Random Variables

Christoph H. Lampert, Liva Ralaivola, Alexander Zimin

We consider the problem of bounding large deviations for non-i.i.d. random variables that are allowed to have arbitrary dependencies. Previous works typically assumed a specific de…

math.FA2018

On multistochastic Monge-Kantorovich problem, bitwise operations, and fractals

Nikita A. Gladkov, Alexander V. Kolesnikov, Alexander P. Zimin

The multistochastic $(n, k)$ -Monge--Kantorovich problem on a product space $\prod_{i = 1}^{n} X_{i}$ is an extension of the classical Monge--Kantorovich problem. This problem is consider…