Correlated electrons and generalized statistics

Statistics of Correlated Generalized Gamma Variates

In this paper the most important statistical metrics of the product and the ratio of two correlated Generalized Gamma (GG) random variables (RV)s, raised to an arbitrary power, are studied. The probability density function (PDF) and the cumulative distribution function (CDF) have been derived in most cases in closed form. Moreover, an upper bound for the CDF of the sum of the two correlated GG ...

Generalized Cochran-Mantel-Haenszel Test Statistics for Correlated Categorical Data

S Three new test statistics are introduced for correlated categorical data in strati ed R C tables. They are similar in form to the standard generalized Cochran-Mantel-Haenszel statistics but modi ed to handle correlated outcomes. Two of these statistics are asymptotically valid in both many-strata (sparse data) and large-strata limiting models. The third one is designed speci cally for the man...

Strongly correlated electrons

Strongly Correlated Electrons in Solids

Most emergent properties of the materials discovered since the 1980s are related to the existence of electronelectron interactions which are large with respect to the kinetic energies and could not be thoroughly studied before. The occurrence of metal insulator transitions, of exotic magnetic and/or superconducting properties in many new compounds have stimulated a large series of experimental ...

Magnetic properties of correlated electrons

We analyze a system composed of itinerant electrons and localized spins with on-site interactions representing the Hund’s first rule. Properties of the system are studied rigorously on the infinite square lattice but the configurational space is restricted to the lowest-period phases only. Using exact expressions for the ground state energy an evolution of the phase diagram with an external mag...