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Regular version of the site

Article

Deformed Ginibre ensembles and integrable systems

Physics Letters A. 2014. Vol. 378. No. 4. P. 319-328.
Orlov A. Y.

We consider three Ginibre ensembles (real, complex and quaternion-real) with deformed measures and relate them to known integrable systems by 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 those of Ginibre ensembles.