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The problem of maximizing the determinant of a matrix subject to linear matrix inequalities arises in many fields, including computational geometry, statistics, system identification, experiment desig...
We study the one-parameter family of determinants $det(I-\gamma K_{PII}),\gamma\in\mathbb{R}$ of an integrable Fredholm operator $K_{PII}$ acting on the interval $(-s,s)$ whose kernel is constructed o...
We provide an alternative proof of the classical single-term asymptotics for Toeplitz determinants whose symbols possess Fisher-Hartwig singularities. We also relax the smoothness conditions on the re...
We evaluate a determinant of generalized Fibonacci numbers, thus providing a common generalization of several determinant evaluation results that have previously appeared in the literature, all of the...
Abstract: We review the definition of determinants for finite von Neumann algebras, due to Fuglede and Kadison (1952), and a generalisation for appropriate groups of invertible elements in Banach alge...
Abstract: We present a new method for reducing the Fredholm determinant associated with an underlying Birman-Schwinger operator to a finite dimensional determinant. Moreover, we compute explicitly the...
We present here a new method for determinant evaluation – the reduction method. Firstly,in the section 2, we apply it to third order determinants and after, in the section 3, we generalize it to highe...
The functional determinant of a special second order quantum-mechanical operator is calcu-lated with its zero mode gauged out by the method of the Faddeev-Popov gauge fixing procedure.
In [BR1], [BR2], a parabolic determinant line bundle on a moduli space of stable parabolic bundles was constructed, along with a Hermitian structure on it.The construction of the Hermitian structure w...
Reflection algebras is a class of algebras associated with integrable models with boundaries. The coefficients of Sklyanin determinant generate the center of reflection algebra. We give a combinatoria...
We prove the explicit formula for the hyperbolic scattering determinant in the case of a general subgroup $\Gamma $ of ${\rm PSL}\left( 2,\mathbb{R}\right) $. The class of test functions involved (not...

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