We extend the results of Walters on the uniqueness of invariant measures with maximal entropy on compact groups to an arbitrary locally compact group. We show that the maximal entropy is attained at the left Haar measure and the measure of maximal entropy is unique.

In this paper, Kolmogorov-Sinai entropy is studied using mathematical modeling of an observer $ Theta $. The relative entropy of a sub-$ sigma_Theta $-algebra having finite atoms is defined and then   the ergodic properties of relative  semi-dynamical systems are investigated.  Also,  a relative version of Kolmogorov-Sinai theorem  is given. Finally, it is proved  that the relative entropy of a...

nowadays, water supply for sustainable development is one of the most important concerns and challenges in most countries of the world. due to determination of groundwater potential zones are one of the important tools in the conservation, management and utilization of water resources. thus, the present study aimed to prioritize the effective factors on groundwater potential and its susceptibil...

A bstract We study the entanglement entropy for time-like subsystem in two-dimensional boundary conformal field theory (BCFT) both from and holographic point of view. In theory, we compute a pure interval at zero finite temperature using replica technique analytical continuation. find that, similar to ordinary space-like BCFT, also has bulk phase which corresponds respectively dominance identit...

the method of entropy production minimization for finding energy efficient paths of operation of process equipment is first presented using an instructive example with optimal control theory. with refer-ence to the earlier investigations, the researchers present some design rules that relate to the designs’ en-tropy production. minimum entropy production is not obtained in special cases, not ge...

two bonding models i.e cumullenic and acetylenic models have been proposed to account for thebonding patterns in linear carbon clusters while the bonding patterns in cyclic and 3d geometries of theseclusters have remained ambiguous.this work presents the bonding patterns in various c4 and c5 pure clusters at mp2/aug-cc-pvtz level oftheory. this subject is studied in the light of modern bonding ...