133 citations · 198 across the 6 of their papers we have counts for
6 papers
Exact and limit results for the CTRW in presence of drift and position dependent noise intensity
Marco Bianucci, Mauro Bologna, Riccardo Mannella
Continuous-time random walks (CTRWs) with drift and position-dependent jumps provide a general framework for describing a wide range of natural and engineered systems. We analyze t…
Influence of an environment changing in time on Crucial Events: the earthquake prototype
Callum Muir, Mauro Bologna, Paolo Grigolini
This paper is devoted to the study of the interaction between two distinct forms of non-stationary processes, which we will refer to as non-stationarity of first and second kind. T…
Strange kinetics: conflict between density and trajectory description
M. Bologna, P. Grigolini, B. J. West
We study a process of anomalous diffusion, based on intermittent velocity fluctuations, and we show that its scaling depends on whether we observe the motion of many independent tr…
Trajectory versus probability density entropy
Mauro Bologna, Paolo Grigolini, Markos Karagiorgis
We study the problem of entropy increase of the Bernoulli-shift map without recourse to the concept of trajectory and we discuss whether, and under which conditions if it does, the…
Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions
Mauro Bologna, Constantino Tsallis, Paolo Grigolini
We consider the nonlinear Fokker-Planck-like equation with fractional derivatives . Exact time…
The Levy diffusion as an effect of sporadic randomness
Mauro Bologna, Paolo Grigolini, Juri Riccardi
The Levy diffusion processes are a form of non ordinary statistical mechanics resting, however, on the conventional Markov property. As a consequence of this, their dynamic derivat…