3 papers
math.NA2020
Efficient numerical evaluation of thermodynamic quantities on infinite (semi-)classical chains
Christian B. Mendl, Folkmar Bornemann
This work presents an efficient numerical method to evaluate the free energy density and associated thermodynamic quantities of (quasi) one-dimensional classical systems, by combin…
math.PR2015
Singular Values and Evenness Symmetry in Random Matrix Theory
Folkmar Bornemann, Peter J. Forrester
Complex Hermitian random matrices with a unitary symmetry can be distinguished by a weight function. When this is even, it is a known result that the distribution of the singular v…
math.PR2015
The Singular Values of the GOE
Folkmar Bornemann, Michael La Croix
As a unifying framework for examining several properties that nominally involve eigenvalues, we present a particular structure of the singular values of the Gaussian orthogonal ens…