Abstract We consider the interacting Tsallis Holographic Dark Energy (THDE), with Granda–Oliveros (GO) scale as infrared (IR) cutoff, dynamical vacuum. analytically solved for Hubble parameter, in a spatially flat FLRW universe dark energy and matter components, solution traces evolutionary path from prior decelerated to late accelerated epoch. Without interaction, model predicts $$\varLambda $...

In this paper, we study the Wasserstein gradient flow structure of the porous medium equation. We prove that, for the case of q-Gaussians on the real line, the functional derived by the JKO-discretization scheme is asymptotically equivalent to a rate-large-deviation-like functional. The result explains why the Wasserstein metric as well as the combination of it with the Tsallis-entropy play an ...

In this paper a kind of partial subadditivity of the entropy is investigated in probability theory and in matrix theory. We show some new inequalities related to the subadditivity of the standard entropy and its one-parameter generalization in the discrete case. The matrix analogues of the inequalities are also studied. The standard entropy is related to the function −x log x, but here some oth...

We study the non-extensive Tsallis statistics and its applications to QCD high energy physics, analyze possible connections of this with a fractal structure hadrons. Then, we describe how scaling properties Yang-Mills theories allow appearance self-similar structures in gauge fields, which actually behave as fractals. The entropic index, q, is deduced terms field theory parameters, resulting go...