A report on the matrix inequalities in statistical mechanics was presented. A proof of thermodynamic inequality was given. The equivalence of thermodynamic inequality to the Peierls-Bogoliubov inequality was also shown
In this survey paper, a summary of results which are to be found in a series of papers, is presented...
AbstractMatrix algebra is extensively used in the study of linear models and multivariate analysis (...
I analyze two inequalities on entropy and information, one due to von Neumann and a recent one to Sc...
AbstractSome matrix inequalities used in statistical mechanics are presented. A straightforward proo...
Abstract: Some matrix inequalities used in statistical mechanics are presented. A straightforward pr...
Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a ...
AbstractIn this short paper, we establish a variational expression of the Tsallis relative entropy. ...
AbstractSome logarithmic trace inequalities involving the notions of relative entropy are reobtained...
Since the advent of statistical mechanics, the laws of thermodynamics are consequences of more funda...
This work presents a comparison of Quantum and Statistical Mechanics at Planck scale. The statistica...
The proper definition of thermodynamics and the thermodynamic entropy is discussed in the light of r...
Matrix algebra is extensively used in the study of linear models and multivariate analysis (see for ...
Previously a 2x2 matrix equation, linear in energy, was obtained from Einstein’s energy momentum equ...
This monograph offers an invitation to the field of matrix concentration inequalities. It begins wit...
A challenging frontier in modern statistical physics is concerned with systems with a small number o...
In this survey paper, a summary of results which are to be found in a series of papers, is presented...
AbstractMatrix algebra is extensively used in the study of linear models and multivariate analysis (...
I analyze two inequalities on entropy and information, one due to von Neumann and a recent one to Sc...
AbstractSome matrix inequalities used in statistical mechanics are presented. A straightforward proo...
Abstract: Some matrix inequalities used in statistical mechanics are presented. A straightforward pr...
Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a ...
AbstractIn this short paper, we establish a variational expression of the Tsallis relative entropy. ...
AbstractSome logarithmic trace inequalities involving the notions of relative entropy are reobtained...
Since the advent of statistical mechanics, the laws of thermodynamics are consequences of more funda...
This work presents a comparison of Quantum and Statistical Mechanics at Planck scale. The statistica...
The proper definition of thermodynamics and the thermodynamic entropy is discussed in the light of r...
Matrix algebra is extensively used in the study of linear models and multivariate analysis (see for ...
Previously a 2x2 matrix equation, linear in energy, was obtained from Einstein’s energy momentum equ...
This monograph offers an invitation to the field of matrix concentration inequalities. It begins wit...
A challenging frontier in modern statistical physics is concerned with systems with a small number o...
In this survey paper, a summary of results which are to be found in a series of papers, is presented...
AbstractMatrix algebra is extensively used in the study of linear models and multivariate analysis (...
I analyze two inequalities on entropy and information, one due to von Neumann and a recent one to Sc...