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4 papers · 2 filters
Eigenvalue Separation in Some Random Matrix Models
Kevin E. Bassler, Peter J. Forrester, Norman E. Frankel
The eigenvalue density for members of the Gaussian orthogonal and unitary ensembles follows the Wigner semi-circle law. If the Gaussian entries are all shifted by a constant amount…
A method to calculate correlation functions for random matrices of odd size
Peter J. Forrester, Anthony Mays
The calculation of correlation functions for random matrix ensembles, which can be carried out using Pfaffians, has the peculiar feature of requiring a separate calculation d…
On free fermions and plane partitions
O Foda, M Wheeler, M Zuparic
We use free fermion methods to re-derive a result of Okounkov and Reshetikhin relating charged fermions to random plane partitions, and to extend it to relate neutral fermions to s…
Experimental mathematics on the magnetic susceptibility of the square lattice Ising model
S. Boukraa, A. J. Guttmann, S. Hassani +4
We calculate very long low- and high-temperature series for the susceptibility of the square lattice Ising model as well as very long series for the five-particle contribution…