#anomalous diffusion

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5 papers match

math.PR2026

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice

Vinita Mulay, Neeraja Sahasrabudhe, Debleena Thacker

The paper introduces a tampered memory elephant random walk where part of the walk follows the usual elephant random walk and the rest uses independent steps, and it identifies a s…

#elephant random walk#anomalous diffusion#memory partition#phase transition
math.PR2026

Modelling Anomalous Diffusion: The Role of CTRWs and Non-Local Dynamics

Ivan Biočić, Bruno Toaldo

The paper surveys the stochastic framework for anomalous diffusion using continuous-time random walks (CTRWs), their scaling limits, and the resulting non‑local (fractional‑type) e…

#anomalous diffusion#continuous-time random walks#semi‑markov processes#scaling limits
cond-mat.stat-mech2026

Quantum Brownian transport in a correlated Gaussian force

Yun Jeong Kang, Seungsik Min, Sung Kyu Seo +1

The paper analyzes a classical system‑bath model with linear coupling under white and correlated Gaussian noises, deriving joint probability densities and showing that correlated n…

#system-bath models#gaussian noise#anomalous diffusion#quantum brownian motion
math.PR2026

Time-changed Markov processes and space-time coupled non-local equations

Giacomo Ascione, Enrico Scalas, Bruno Toaldo +1

The paper develops a theory for coupled space‑time non‑local equations, proving existence, uniqueness and a maximum principle, and represents solutions via time‑changed stochastic…

#non-local equations#time-changed processes#subordinators#anomalous diffusion
physics.geo-ph2026

A Multiscaling Fingerprint of Earthquake Diffusion in Seismic Swarms

Cataldo Godano, Giuseppe Petrillo

The paper studies how earthquake swarms spread over time by applying a multiscaling analysis to interevent distances, revealing that swarms exhibit anomalous diffusion distinct fro…

#earthquake swarms#anomalous diffusion#multiscaling analysis#spatial migration