36 citations · 424 across the 30 of their papers we have counts for
4 papers · 1 filter
Counting statistics: a Feynman-Kac perspective
Andrea Zoia, Eric Dumonteil, Alain Mazzolo
By building upon a Feynman-Kac formalism, we assess the distribution of the number of hits in a given region for a broad class of discrete-time random walks with scattering and abs…
Collision statistics for random flights with anisotropic scattering and absorption
Andrea Zoia, Eric Dumonteil, Alain Mazzolo
For a broad class of random walks with anisotropic scattering kernel and absorption, we derive explicit formulas that allow expressing the moments of the collision number per…
Residence time and collision statistics for exponential flights: the rod problem revisited
Andrea Zoia, Eric Dumonteil, Alain Mazzolo
Many random transport phenomena, such as radiation propagation, chemical/biological species migration, or electron motion, can be described in terms of particles performing {\em ex…
Collision number statistics for transport processes
Andrea Zoia, Eric Dumonteil, Alain Mazzolo
Many physical observables can be represented as a particle spending some random time within a given domain. For a broad class of transport-dominated processes, we detail how it is…