A bstract Introduction of electric field in the D-brane worldvolume induces a horizon open string geometry perceived by brane fluctuations. We study holographic entanglement entropy (HEE) and subregion complexity (HSC) these asymptotically AdS geometries three, four five dimensions aiming to capture quantities flavor sector introduced D-branes. Both strip spherical subregions have been consider...

The paper defines and studies new semi-Riemannian generalized Fisher metrics Fisher-like metrics, associated with entropies divergences. Examples of seven such families are provided, based on exponential PDFs. particular case when the basic entropy is a ϕ-deformed one, in sense Naudts, investigated detail, emphasis variation emergent scalar curvatures. Moreover, highlights impact these geometri...

A bstract In this work we study families of generalised coherent states constructed from SL(2,R) subalgebras the Virasoro algebra in two-dimensional conformal field theories. We derive energy density and entanglement entropy discuss their equivalence with analogous quantities computed locally excited states. Moreover, analyze dual, holographic geometries reproduce entropies Ryu-Takayanagi presc...

In the present study, an analytical investigation on the entropy generation examination for viscoelastic fluid flow involving inclined magnetic field and non-linear thermal radiation aspects with the heat source and sink over a stretching sheet has been done. The boundary layer governing partial differential equations were converted in terms of appropriate similarity transformations to non-line...

We study the entropy rate of a hidden Markov process, defined by observing the output of a symmetric channel whose input is a first order Markov process. Although this definition is very simple, obtaining the exact amount of entropy rate in calculation is an open problem. We introduce some probability matrices based on Markov chain's and channel's parameters. Then, we try to obtain an estimate ...

In this paper, we have used numerical simulation to study failure of adhesive joints in composite plates. To determine the failure load, adhesive joints are subjected to different types of loading and gradual failure of the joint is studied using the finite element method. The composite material failure theory is implemented into the FEM software. Also different geometries for the joint edge ar...

in this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. it is shown that it generates the kolmogorov entropy as a special case. if $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

We investigate the emergence of different effective geometries in stochastic Clifford circuits with sparse coupling. By changing probability distribution for choosing two-site gates as a function distance, we generate interactions that either decay or grow distance single tunable parameter. Tuning this parameter reveals three distinct regimes geometry spreading correlations and growth entanglem...

The notion of entropy was introduced by Clausius in 1850, and some of the main steps towards the consolidation of the concept were taken by Boltzmann and Gibbs. Since then several extensions and reformulations have been developed in various disciplines with motivations and applications in different subjects, such as statistical mechanics, information theory, and dynamical systems. Fujii and Kam...