scholarly journals Sharp Moment-Entropy Inequalities and Capacity Bounds for Symmetric Log-Concave Distributions

2021 ◽  
Vol 67 (1) ◽  
pp. 81-94
Author(s):  
Mokshay Madiman ◽  
Piotr Nayar ◽  
Tomasz Tkocz
2012 ◽  
Vol 22 (08) ◽  
pp. 1250014 ◽  
Author(s):  
FRÉDÉRIC COQUEL ◽  
EDWIGE GODLEWSKI ◽  
NICOLAS SEGUIN

We propose a relaxation framework for general fluid models which can be understood as a natural extension of the Suliciu approach in the Euler setting. In particular, the relaxation system may be totally degenerate. Several stability properties are proved. The relaxation procedure is shown to be efficient in the numerical approximation of the entropy weak solutions of the original PDEs. The numerical method is particularly simple in the case of a fully degenerate relaxation system for which the solution of the Riemann problem is explicit. Indeed, the Godunov solver for the homogeneous relaxation system results in an HLLC-type solver for the equilibrium model. Discrete entropy inequalities are established under a natural Gibbs principle.


2012 ◽  
Vol 61 (4) ◽  
pp. 1730-1740 ◽  
Author(s):  
Caijun Zhong ◽  
Michail Matthaiou ◽  
George K. Karagiannidis ◽  
Aiping Huang ◽  
Zhaoyang Zhang

1996 ◽  
Vol 210 (6) ◽  
pp. 377-381 ◽  
Author(s):  
R. Horodecki ◽  
P. Horodecki ◽  
M. Horodecki

2018 ◽  
Vol 59 (12) ◽  
pp. 122202 ◽  
Author(s):  
Li Gao ◽  
Marius Junge ◽  
Nicholas LaRacuente

2013 ◽  
Vol 59 (3) ◽  
pp. 1227-1255 ◽  
Author(s):  
Aslan Tchamkerten ◽  
Venkat Chandar ◽  
Gregory W. Wornell

2016 ◽  
Vol 65 (11) ◽  
pp. 8964-8977 ◽  
Author(s):  
Reza Kazemi ◽  
Mahdi Boloursaz ◽  
Seyed M. Etemadi ◽  
Fereydoon Behnia

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