11 citations · 11 across the 3 of their papers we have counts for
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Boolean Cumulants and Exact Reduced Descriptions of Renewal-Driven Systems
Marco Bianucci, Riccardo Mannella
Reduced descriptions of unresolved fluctuations are commonly based on Gaussian processes, although many realistic forcings have finite correlation times and a renewal structure. Fo…
Universal behaviors of the multi-time correlation functions of random processes with renewal: the step noise case (the random velocity of a Lévy walk)
Marco Bianucci, Mauro Bologna, Daniele Lagomarsino-Oneto +1
Stochastic processes with renewal properties are powerful tools for modeling systems where memory effects and long-time correlations play a significant role. In this work, we study…
Optimal FPE for non-linear 1d-SDE. I: Additive Gaussian colored noise
Marco Bianucci, Riccardo Mannella
Many complex phenomena occurring in physics,chemistry, biology, finance, etc. can be reduced, by some projection process, to a 1-d stochastic Differential Equation (SDE) for the va…