Statistical Approaches of Ensembles: a Review

Exploring the Statistical Approaches and Applications of Ensembles

Abstract

Randommatrix theory is a maturing order with decades of investigate in various Fieldsnow creation to congregate. A collection of elements from the ensemble can beviewed as a swarm of representative points in the phase space. The statisticalproperties of the ensemble then depend on a chosen probabilitymeasure on the phase space. Propetiesshould have a Representativeness, Ergodicity. The formulation of statisticalensembles used in physics has now been widely adopted in other fields