94 citations · 276 across the 12 of their papers we have counts for
12 papers
Stochastic hydrodynamic velocity field and the representation of Langevin equations
Massimiliano Giona, Davide Cocco, Giuseppe Procopio +2
The fluctuation-dissipation theorem, in the Kubo original formulation, is based on the decomposition of the thermal agitation forces into a dissipative contribution and a stochasti…
Spectral properties of stochastic processes possessing finite propagation velocity
Massimiliano Giona, Andrea Cairoli, Davide Cocco +1
This article investigates the spectral structure of the evolution operators associated with the statistical description of stochastic processes possessing finite propagation veloci…
In the folds of the Central Limit Theorem: Lévy walks, large deviations and higher-order anomalous diffusion
Massimiliano Giona, Andrea Cairoli, Rainer Klages
This article considers the statistical properties of Lévy walks possessing a regular long-term linear scaling of the mean square displacement with time, for which the conditions of…
Extended Poisson-Kac theory: A unifying framework for stochastic processes with finite propagation velocity
Massimiliano Giona, Andrea Cairoli, Rainer Klages
Stochastic processes play a key role for modeling a huge variety of transport problems out of equilibrium, with manifold applications throughout the natural and social sciences. To…
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…
Loopy Lévy flights enhance tracer diffusion in active suspensions
Kiyoshi Kanazawa, Tomohiko G. Sano, Andrea Cairoli +1
Brownian motion is widely used as a paradigmatic model of diffusion in equilibrium media throughout the physical, chemical, and biological sciences. However, many real world system…
Weak Galilean invariance as a selection principle for coarse-grained diffusive models
Andrea Cairoli, Rainer Klages, Adrian Baule
Galilean invariance is a cornerstone of classical mechanics. It states that for closed systems the equations of motion of the microscopic degrees of freedom do not change under Gal…
Feynman-Kac equation for anomalous processes with space- and time-dependent forces
Andrea Cairoli, Adrian Baule
Functionals of a stochastic process Y(t) model many physical time-extensive observables, e.g. particle positions, local and occupation times or accumulated mechanical work. When Y(…
Interplay between consensus and coherence in a model of interacting opinions
Federico Battiston, Andrea Cairoli, Vincenzo Nicosia +2
The formation of agents' opinions in a social system is the result of an intricate equilibrium among several driving forces. On the one hand, the social pressure exerted by peers f…
Langevin formulation of a subdiffusive continuous time random walk in physical time
Andrea Cairoli, Adrian Baule
Systems living in complex non equilibrated environments often exhibit subdiffusion characterized by a sublinear power-law scaling of the mean square displacement. One of the most c…
Anomalous processes with general waiting times: functionals and multi-point structure
Andrea Cairoli, Adrian Baule
Many transport processes in nature exhibit anomalous diffusive properties with non-trivial scaling of the mean square displacement, e.g., diffusion of cells or of biomolecules insi…
Forecasting transitions in systems with high dimensional stochastic complex dynamics: A Linear Stability Analysis of the Tangled Nature Model
Andrea Cairoli, Duccio Piovani, Henrik Jeldtoft Jensen
We propose a new procedure to monitor and forecast the onset of transitions in high dimensional complex systems. We describe our procedure by an application to the Tangled Nature m…