Cond Mat 0006421

Supersymmetry approach alexander d.

Cond mat 0006421.

The supersymmetry method has proven to be a very powerful tool of study of the statistical properties of energy levels and eigenfunctions in disordered and chaotic systems. Mirlin statistics of energy levels and eigenfunctions in disordered and chaotic systems. A lecture notes style review of the equilibrium statistical mechanics of recurrent neural networks with discrete and continuous neurons e g. A read is counted each time someone views a publication summary such as the title abstract and list of authors clicks on a figure or views or downloads the full text.

Arxiv cond mat 0006001 cond mat dis nn or arxiv cond mat 0006001v2 cond mat dis nn for this version submission history from. Accompanied by a similar review part ii dealing with the dynamics. Kakashvili c and ph brune a a institut fu rphysik theoretische physikiii elektronische korrelationen undmagnetismus universita t augsburg 86135 augsburg germany. For an introduction to the techniques.

See also lectures at les houches 94 above. The supersymmetry method has proven to be a very powerful tool of study of the statistical properties of energy levels and eigenfunctions in disordered and chaotic systems. Condensed matter disordered systems and neural networks. Efetov supersymmetry in disorder and chaos cambridge u.

The aim of these lectures is to present a tutorial introduction to the method as well as an overview of the recent developments. Lecture course given at the international school enrico fermi on new directions in quantum chaos varenna july 1999 76 pages. To be published in the handbook of biological physics north holland. Arxiv cond mat 0006401v1 cond mat str el 26 jun 2000 η superconductivity in thehubbard chain withpair hopping g i.

A tree with five loop vertices joined by four tree lines eight cubic vertices and eight resolvent lines which is a contribution in the hermitian case.