Let be a compact metric space and if is the product of r-copies of X, and Then theV-statistics with kernel F are defined as In this article, we are mainly interested in the multifractal decomposition where are limit points ...

The method of topological renormalization in anti-de Sitter (AdS) gravity consists in adding to the action a topological term which renders it finite, defining at the same time a well-posed variational problem. Here, we ...

Let (x, d) be a compact metric space and f : x → x, if xr is the product of r−copies of x, r ≥ 1, and φ : xr → r, then the multifractal decomposition for v −statistics is given by eφ (α) = ( x : lim n→∞ 1 nr p 0≤i1≤...≤ir≤n−1 ...

We study two variations of Bowen's definitions of topological entropy based on separated and spanning sets which can be applied to the study of discontinuous semiflows on compact metric spaces. We prove that these definitions ...

There is a C1-residual (Baire second class) subset R of symplectic diffeomorphisms on 2d-dimensional manifold, d ≥ 1, such that for every non-Anosov f in R, its topological entropy is lower bounded by the supremum of the ...

In this work, we study and compare the features of gravitational entropy near the throat of transversable wormholes formed by exotic matter and wormholes in galactic halos. We have verified that gravitational entropy and ...

We propose a renormalization scheme for entanglement entropy of three-dimensional CFTs with a four-dimensional asymptotically AdS gravity dual in the context of the gauge/gravity correspondence. The procedure consists in ...