11 citations · 11 across the 3 of their papers we have counts for
5 papers
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…
Colored Stochastic Multiplicative Processes with Additive Noise Unveil a Third-Order PDE, Defying Conventional FPE and Fick-Law Paradigms
Marco Bianucci, Mauro Bologna, Riccardo Mannella
Research on stochastic differential equations (SDE) involving both additive and multiplicative noise has been extensive. In situations where the primary process is driven by a mult…
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…
About the foundation of the Kubo Generalized Cumulants theory. A revisited and corrected approach
Marco Bianucci, Mauro Bologna
More than fifty years ago, in a couple of seminal works Kubo introduced the important idea of generalized cumulants, extending to stochastic operators this concept, implicitly intr…