Upper bounds on Shannon and Rényi entropies for central potentials

2011 ◽  
Vol 52 (2) ◽  
pp. 022105 ◽  
Author(s):  
P. Sánchez-Moreno ◽  
S. Zozor ◽  
J. S. Dehesa
Keyword(s):  
Upper Bounds ◽  
Rényi Entropies ◽  
Renyi Entropies

scholarly journals Analytic critical points of charged Rényi entropies from hyperbolic black holes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Jie Ren
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Study Phase ◽  
Zero Temperature ◽  
Charged Scalar ◽  
Yang Mills ◽  
Gravitational Systems ◽  
Rényi Entropies ◽  
Zero Entropy ◽  
Renyi Entropies

Abstract We analytically study phase transitions of holographic charged Rényi entropies in two gravitational systems dual to the $$ \mathcal{N} $$ N = 4 super-Yang-Mills theory at finite density and zero temperature. The first system is the Reissner-Nordström-AdS5 black hole, which has finite entropy at zero temperature. The second system is a charged dilatonic black hole in AdS5, which has zero entropy at zero temperature. Hyperbolic black holes are employed to calculate the Rényi entropies with the entangling surface being a sphere. We perturb each system by a charged scalar field, and look for a zero mode signaling the instability of the extremal hyperbolic black hole. Zero modes as well as the leading order of the full retarded Green’s function are analytically solved for both systems, in contrast to previous studies in which only the IR (near horizon) instability was analytically treated.

scholarly journals Effect of dissociation energy on Shannon and Rényi entropies

2018 ◽  
Vol 4 (1) ◽  
pp. 134-142 ◽  
Author(s):  
C.A. Onate ◽  
A.N. Ikot ◽  
M.C. Onyeaju ◽  
O. Ebomwonyi ◽  
J.O.A. Idiodi
Keyword(s):  
Dissociation Energy ◽  
Rényi Entropies ◽  
Renyi Entropies

Unifying Entropies of Quantum Logic Based on Rényi Entropies

2019 ◽  
Vol 83 (3) ◽  
pp. 305-327
Author(s):  
Zahra Eslami Giski ◽  
Abolfazl Ebrahimzadeh
Keyword(s):  
Quantum Logic ◽  
Rényi Entropies ◽  
Renyi Entropies
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