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4 papers · 2 filters
Mutual information via thermodynamics: Three different approaches
Yitzhak Peleg, Hadar Efraim, Ori Shental +1
Three different approaches to derive mutual information via thermodynamics are presented where the temperature-dependent energy is given by: (a) , (b)…
Foundation of Fractional Langevin Equation: Harmonization of a Many Body Problem
Ludvig Lizana, Tobias Ambjornsson, Alessandro Taloni +2
In this study we derive a single-particle equation of motion, from first-principles, starting out with a microscopic description of a tracer particle in a one-dimensional many-part…
From non-Brownian Functionals to a Fractional Schrödinger Equation
Lior Turgeman, Shai Carmi, Eli Barkai
We derive backward and forward fractional Schrödinger type of equations for the distribution of functionals of the path of a particle undergoing anomalous diffusion. Fractional sub…
Asymptotic behavior of the Kleinberg model
Shai Carmi, Stephen Carter, Jie Sun +1
We study Kleinberg navigation (the search of a target in a d-dimensional lattice, where each site is connected to one other random site at distance r, with probability proportional…