23 citations · 39 across the 6 of their papers we have counts for
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cond-mat.stat-mech2023★ 1 cited
Multi-target search in bounded and heterogeneous environments: a lattice random walk perspective
Luca Giuggioli, Seeralan Sarvaharman, Debraj Das +2
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…
cond-mat.stat-mech2023★ 11 cited
Extreme Value Statistics and Arcsine Laws of Brownian Motion in the Presence of a Permeable Barrier
Toby Kay, Luca Giuggioli
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…
cond-mat.stat-mech2023★ 4 cited
Subdiffusion in the Presence of Reactive Boundaries: A Generalized Feynman-Kac Approach
Toby Kay, Luca Giuggioli
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…