A Nonconventional Invariance Principle for Random Fields

TL;DR

This paper establishes a nonconventional invariance principle, a type of functional central limit theorem, for random fields, expanding the theoretical understanding of their asymptotic behavior.

Contribution

It introduces a novel invariance principle applicable to random fields, broadening the scope of classical limit theorems.

Findings

Proves a nonconventional invariance principle for random fields

Extends classical central limit theorems to new settings

Provides a foundation for future research in stochastic processes

Abstract

We prove a nonconventional invariance principle (functional central limit theorem) for random fields.