Abstract Tsallis entropy is a generalization of the Boltzmann–Gibbs in statistical theory which uses parameter $$\delta $$ δ to measure deviation from standard scenario quantitatively. Using concepts and future event horizon, we construct new holographic dark energy model. The parameters c will be used charac...

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...