2012/10/03 by Alexander Orlov, Orlov, Alexander
Mathematics · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #cond-mat.dis-nn #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.48550/arxiv.1210.1123
14 pages, some misprints are corrected
arxiv created 2012/10/04 · arxiv updated 2015/01/15
We consider three Ginibre ensembles (real, complex and quaternion-real) with a deformed measure and relate them to the known integrable systems via presenting partition functions of these ensembles in form of fermionic expectation values. We also introduce double deformed Dyson-Wigner ensembles and compare their fermionic representations with these of Ginibre ensembles.