9 citations · 9 across the 2 of their papers we have counts for
5 papers
Non-linear Fokker-Planck equations from conformal metrics and scalar curvature
Nikolaos Kalogeropoulos
We present an argument which intends to explore a potential geometric origin of a class of non-linear Fokker-Planck equations related to the mesoscopic behavior of systems conjectu…
Toward a relative q-entropy
Nikolaos Kalogeropoulos
We address the question and related controversy of the formulation of the -entropy, and its relative entropy counterpart, for models described by continuous (non-discrete) sets…
Power-law entropies for continuous systems and generalized operations
Anthony J. Creaco, Nikolaos Kalogeropoulos
We present our view in a standing debate about the definition and meaning of power-law entropies for continuous systems. Our suggestion is that such arguments should take into acco…
Irreversibility from staircases in symplectic embeddings
Anthony J. Creaco, Nikolaos Kalogeropoulos
We present an argument whose goal is to trace the origin of the macroscopically irreversible behavior of Hamitonian systems of many degrees of freedom. We use recent flexibility an…
Time irreversibility from symplectic non-squeezing
Nikolaos Kalogeropoulos
The issue of how time reversible microscopic dynamics gives rise to macroscopic irreversible processes has been a recurrent issue in Physics since the time of Boltzmann whose ideas…