Results 81 to 90 of about 10,181 (161)
Hausdorff dimension of double‐base expansions and binary shifts with a hole
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract For two real bases q0,q1>1$q_0, q_1 > 1$, a binary sequence i1i2⋯∈{0,1}∞$i_1 i_2 \cdots \in \lbrace 0,1\rbrace ^\infty$ is the (q0,q1)$(q_0,q_1)$‐expansion of the number πq0,q1(i1i2⋯)=∑k=1∞ikqi1⋯qik.$$\begin{equation*} \pi _{q_0,q_1}(i_1 i_2 \cdots) = \sum _{k=1}^\infty \frac{i_k}{q_{i_1} \cdots q_{i_k}}.
Jian Lu, Wolfgang Steiner, Yuru Zou
wiley +1 more source
A universal approach to Renyi entropy of multiple disjoint intervals
Physics Letters BWe propose a universal approach to compute the Renyi entropy with generically multiple disjoint intervals from the swapping operations. The proposal is grounded in our observation that there is a striking similarity between the replica trick utilized in ...
Han-Qing Shi, Hai-Qing Zhang
doaj +1 more source
Logarithmic black hole entropy corrections and holographic Rényi entropy
European Physical Journal C: Particles and Fields, 2018 The entanglement and Rényi entropies for spherical entangling surfaces in CFTs with gravity duals can be explicitly calculated by mapping these entropies first to the thermal entropy on hyperbolic space and then, using the AdS/CFT correspondence, to the ...
Subhash Mahapatra
doaj +1 more source
Validity of the second law in nonextensive quantum thermodynamics
, 2003 The second law of thermodynamics in nonextensive statistical mechanics is discussed in the quantum regime. Making use of the convexity property of the generalized relative entropy associated with the Tsallis entropy indexed by q, Clausius' inequality is ...
A. K. Rajagopal +22 more
core +1 more source
Rényi complexity in mean-field disordered systems
SciPost PhysicsConfigurational entropy, or complexity, plays a critical role in characterizing disordered systems such as glasses, yet its measurement often requires significant computational resources. Recently, Rényi entropy, a one-parameter generalization of Shannon
Nina Javerzat, Eric Bertin, Misaki Ozawa
doaj +1 more source
Entanglement Entropy In Excited States [PDF]
, 2018 Negli ultimi anni l’entropia di entaglement è stata ampiamente studiata nel campo dell‘integrabilità. Con l‘introduzione del modello a replica è stato possibile portare alla luce le proprietà universali dell’ entropia di entanglement di un sistema ...
De Fazio, Cecilia
core
Smooth Perturbations to Rényi Entropy
Journal of High Energy PhysicsA method is presented for computing the Rényi entropy of a perturbed massless vacuum on the ball via a comparison with lattice field theory. If the perturbed state is Gaussian with smoothly varying correlation functions and the perturbation parameter has
Andrew Buchanan
doaj +1 more source
Direct Estimation of Information Divergence Using Nearest Neighbor Ratios
, 2017 We propose a direct estimation method for R\'{e}nyi and f-divergence measures based on a new graph theoretical interpretation. Suppose that we are given two sample sets $X$ and $Y$, respectively with $N$ and $M$ samples, where $\eta:=M/N$ is a constant ...
Hero III, Alfred O. +3 more
core +1 more source
Journal of High Energy PhysicsThe charged (symmetry-resolved) vacuum Rényi entanglement entropy on a disk is computed in the limit of large U(1) global charge for any Rényi index.
Masataka Watanabe
doaj +1 more source
Strong Majorization Entropic Uncertainty Relations
, 2014 We analyze entropic uncertainty relations in a finite dimensional Hilbert space and derive several strong bounds for the sum of two entropies obtained in projective measurements with respect to any two orthogonal bases.
Puchała, Zbigniew +2 more
core +1 more source