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216 papers · 1 filter
Equilibrium measures for higher dimensional rotationally symmetric Riesz gases
Sung-Soo Byun, Peter J. Forrester, Satya N. Majumdar +1
We study equilibrium measures for Riesz gases in dimension with pairwise interaction kernel , subject to radially symmetric external fields. We characterise broad c…
Higher-Order Linear Differential Equations for Unitary Matrix Integrals: Applications and Generalisations
Peter J. Forrester, Fei Wei
In this paper, we consider characterisations of the class of unitary matrix integrals …
Computation of the masses of the elementary particles
John Mashford
An approach to gauge theory in the context of locally conformally flat space-time is described. It is discussed how there are a number of natural principal bundles associated with…
Winding Number Statistics for Chiral Random Matrices: Universal Correlations and Statistical Moments in the Unitary Case
Nico Hahn, Mario Kieburg, Omri Gat +1
The winding number is the topological invariant that classifies chiral symmetric Hamiltonians with one-dimensional parametric dependence. In this work we complete our study of the…
Complex symmetric, self-dual, and Ginibre random matrices: Analytical results for three classes of bulk and edge statistics
Gernot Akemann, Noah Aygün, Mario Kieburg +1
Recently, a conjecture about the local bulk statistics of complex eigenvalues has been made based on numerics. It claims that there are only three universality classes, which have…
Relations between generalised Wishart matrices, the Muttalib--Borodin model and matrix spherical functions
Peter J. Forrester
Generalised uncorrelated Wishart matrices are formed out of rectangular standard Gaussian data matrices with a certain pattern of zero entries. Development of the theory in the rea…