# A.Ya. Khintchine's Work in Probability Theory

## TL;DR

This paper reviews Alexander Khintchine's significant contributions to probability theory, especially on infinitely divisible distributions, highlighting his interactions with Paul Levy and his lasting influence on the field.

## Contribution

It provides a comprehensive overview of Khintchine's fundamental results and their impact, based on a joint publication and historical analysis.

## Key findings

- Khintchine's results on infinitely divisible distributions are foundational.
- His collaboration with Paul Levy influenced developments in probability theory.
- The paper emphasizes Khintchine's lasting legacy in mathematical research.

## Abstract

The paper is devoted to the contribution in the Probability Theory of the well-known Soviet mathematician Alexander Yakovlevich Khintchine (1894-1959). Several of his results are described, in particular those fundamental results on the infinitely divisible distributions. Attention is paid also to his interaction with Paul Levy. The content of the paper is related to our joint book The Legacy of A.Ya. Khintchine's Work in Probability Theory, published in 2010 by Cambridge Scientific Publishers.