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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...
For some models of interacting fermions the known solution to the notorious sign problem in Monte Carlo (MC) simulations is to work with macroscopic fermionic determinants; the price, however, is a ma...
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: With the help of the F-basis provided by the Drinfeld twist or factorizing F-matrix for the open XXZ spin chain with non-diagonal boundary terms, we obtain the determinant representation of ...
Abstract: We are concerned with the inverse scattering problem for the full line Schr\"odinger operator $-\partial_x^2+q(x)$ with a steplike potential $q$ a priori known on $\Reals_+=(0,\infty)$. Assu...
The Fuglede-Kadison determinant, theme and variations     Determinant  Fuglede-Kadison determinant  Banach algebra       font style='font-size:12px;'> 2011/8/25
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...
Stability of waves using the Fredholm determinant     Stability of waves  Fredholm determinant  Analysis of PDEs       font style='font-size:12px;'> 2011/8/23
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...
With the help of the F-basis provided by the Drinfeld twist or factorizing F-matrix for the open XXZ spin chain with non-diagonal boundary terms, we obtain the determinant representations of the scala...
It was shown in [Augusiak et al.,\;Phys. Rev. A \textbf{77}, 030301(R) (2008)] that discrimination between entanglement and separability in a two qubit state can be achieved by a measurement of a sin...
Sklyanin Determinant for Reflection Algebra      Sklyanin Determinant  Reflection Algebra        font style='font-size:12px;'> 2010/12/8
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...

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