ergodicity उदाहरण वाक्य

Applications of ergodic theory to other parts of mathematics usually involve establishing ergodicity properties for systems of special kind.
Likewise, you might consider trying to put issues of ergodicity and quantum failures above the more general formulation.
:* Ergodicity is not a problem for the ultraviolet catastrophe, since all modes may be populated, no?
This general phenomenon is called ergodicity .-- talk ) 06 : 16, 24 March 2008 ( UTC)
The unique quantum ergodicity conjecture of Rudnick and Sarnak asks whether the stronger statement that individual eigenfunctions equidistribure is true.

In short, thermalization could not occur because of a certain " soliton symmetry " in the system which broke ergodicity.
The quantum ergodicity theorem of Shnirelman, Colin de Verdi�re and Zelditch states that on average, eigenfunctions equidistribute on S.
The generalization is considered to be a good candidate for formulating a theory of non-non-ergodicity or metastable states.
This constitutes a foundation for quantum statistical mechanics which is radically different from the one built upon the notions of dynamical ergodicity.
Ergodicity is the assumption that a system, at a given temperature, explores the full phase space, just each state takes different probabilities.