# Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime

Source: [Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime](<https://www.sota2.com/research/paper/68fa5c351e209131ce9cf0df>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T17:30:28.657Z

Authors: Alexander Fribergh, Tanguy Lions, Carlo Scali

Published: 2022-10-14T13:56:17.000Z

## Abstract

We consider a biased random walk in positive random conductances on $\\mathbb{Z}^d$ for $d\\geq 5$. In the sub-ballistic regime, we prove the quenched convergence of the properly rescaled random walk towards a Fractional Kinetics.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2210.07825>)

[PDF](<https://arxiv.org/pdf/2210.07825.pdf>)