4 papers
Age representation of Levy walks: partial density waves, relaxation and first passage time statistics
M. Giona, M. D'Ovidio, D. Cocco +2
Levy walks (LWs) define a fundamental class of finite velocity stochastic processes that can be introduced as a special case of continuous time random walks. Alternatively, there i…
Homogenization Approaches to Multiphase Lattice Random Walks
Massimiliano Giona, Davide Cocco
This article analyzes several different homogenization approaches to the long-term properties of multiphase lattice random walks, recently introduced by Giona and Cocco, and charac…
Generalized Poisson-Kac processes and hydrodynamic modeling of systems of interacting particles I - Theory
Massimiliano Giona
This article analyzes the formulation of space-time continuous hyperbolic hydrodynamic models for systems of interacting particles moving on a lattice, by connecting their local st…
Multiphase Partitions of Lattice Random Walks
Massimiliano Giona, Davide Cocco
Considering the dynamics of non-interacting particles randomly moving on a lattice, the occurrence of a discontinuous transition in the values of the lattice parameters (lattice sp…