# A functional CLT for nonconventional polynomial arrays

**Authors:** Yeor Hafouta

arXiv: 1907.03303 · 2019-12-18

## TL;DR

This paper proves a functional central limit theorem for sums indexed by polynomial arrays, advancing the understanding of nonconventional stochastic processes.

## Contribution

It introduces a new CLT for nonconventional polynomial array sums, extending classical results to more complex indexing schemes.

## Key findings

- Established a functional CLT for nonconventional polynomial arrays
- Extended classical CLT results to polynomial index structures
- Provided mathematical framework for analyzing nonconventional sums

## Abstract

In this paper we will prove a functional central limit theorems for "nonconventional" sums indexed by polynomial arrays.

## Full text

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## References

24 references — full list in the complete paper: https://tomesphere.com/paper/1907.03303/full.md

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Source: https://tomesphere.com/paper/1907.03303