Central limit theorems for nonlinear hierarchical sequences of random variables

TL;DR

This paper establishes central limit theorems for nonlinear hierarchical sequences of random variables, specifically applied to the bounded conductivity in random resistor networks on hierarchical lattices.

Contribution

It proves new central limit theorems for nonlinear sequences in hierarchical models, extending understanding of their probabilistic behavior.

Findings

Central limit theorem for bounded conductivity in hierarchical resistor networks

Application of CLT to nonlinear hierarchical sequences

Enhanced understanding of probabilistic limits in hierarchical structures

Abstract

We study central limit theorems for certain nonlinear sequences of random variables. In particular, we prove the central limit theorems for the bounded conductivity of the random resistor networks on hierarchical lattices.