Multi-target search in bounded and heterogeneous environments: a lattice random walk perspective

Autor: Giuggioli, Luca, Sarvaharman, Seeralan, Das, Debraj, Marris, Daniel, Kay, Toby

For more than a century lattice random walks have been employed ubiquitously, both as a theoretical laboratory to develop intuition about more complex stochastic processes and as a tool to interpret a vast array of empirical observations. Recent adva

Externí odkaz: http://arxiv.org/abs/2311.00464

Subdiffusion in the Presence of Reactive Boundaries: A Generalized Feynman-Kac Approach

Autor: Kay, Toby, Giuggioli, Luca

Publikováno v: Journal of Statistical Physics, Vol. 190, Iss. 5, p. 92, 2023

We derive, through subordination techniques, a generalized Feynman-Kac equation in the form of a time fractional Schrodinger equation. We relate such equation to a functional which we name the subordinated local time. We demonstrate through a stochas

Externí odkaz: http://arxiv.org/abs/2304.14731

Extreme Value Statistics and Arcsine Laws of Brownian Motion in the Presence of a Permeable Barrier Barrier

Autor: Kay, Toby, Giuggioli, Luca

Publikováno v: Kay, T & Giuggioli, L 2023 ' Extreme Value Statistics and Arcsine Laws of Brownian Motion in the Presence of a Permeable Barrier Barrier ' . https://doi.org/10.48550/arXiv.2306.03157

The Arcsine laws of Brownian motion are a collection of results describing three different statistical quantities of one-dimensional Brownian motion: the time at which the process reaches its maximum position, the total time the process spends in the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2642::d97e2441700b084e01a999b489ef5f08
https://hdl.handle.net/1983/c31d57fe-9fd4-426c-865b-69152832f47c

Correction: Subdiffusion in the Presence of Reactive Boundaries: A Generalized Feynman–Kac Approach.

Autor: Kay, Toby, Giuggioli, Luca

Publikováno v: Journal of Statistical Physics; Sep2024, Vol. 191 Issue 9, p1-1, 1p