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GLUING FORMULAS FOR DETERMINANTS OF DOLBEAULT LAPLACIANS ON RIEMANN SURFACES
Determinants of Laplace operators Riemann surfaces bosonization formulas
2015/12/17
We present gluing formulas for zeta regularized determinants of Dolbeault laplacians on Riemann surfaces. These are expressed in terms of determinants of associated operators on surfaces with boundary...
Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields
Gaussian random determinant Wishart matrix Gaussian random parallelotope mixed volumes of ellipsoids location-dispersion ellipsoid
2012/6/2
Consider a $d\times d$ matrix $M$ whose rows are independent centered non-degenerate Gaussian vectors $\xi_1,...,\xi_d$ with covariance matrices $\Sigma_1,...,\Sigma_d$. Denote by $\mathcal{E}_i$ the ...
Graded Cartan determinants of the symmetric groups
symmetric groups Iwahori-Hecke algebras graded representation theory quantum groups Shapovalov forms quiver Hecke algebras
2012/5/1
We give the graded Cartan determinants of the symmetric groups. Based on it, we propose a gradation of Hill's conjecture which is equivalent to K\"ulshammer-Olsson-Robinson's conjecture on the general...
Correlation functions of the two-dimensional Ising model on the periodic lattice can be expressed in terms of form factors — matrix elements of the spin operator in the basis of
common eigenstates of...
Correlation functions of the two-dimensional Ising model on the periodic lattice can be expressed in terms of form factors — matrix elements of the spin operator in the basis of
common eigenstates of...
Determinants of Population Growth in Rajasthan: An Analysis
Determinants of Population Rajasthan Analysis
2010/12/31
Rajasthan is the biggest State of India and is currently in the second phase of demographic
transition and is moving towards the third phase of demographic transition with very slow
pace.
In the local, unramified case the determinantal functions associated to the group-ring of a finite group satisfy Galois descent. This note examines the obstructions to Galois determinantal descent in ...
The aim of this paper is to offer an algebraic definition of infinite determinants of finite potent endomorphisms. This allows to construct a central extension of groups that can be interpreted as a ...
Factorization formulas for higher depth determinants of the Laplacian on the n-sphere
depth determinants the Laplacian on the n-sphere
2010/11/1
We explicitly give factorization formulas for higher depth determinants, which are defined via derivatives of the spectral zeta function at non-positive integer points, of Laplacians on the n-sphere i...
We study the Gram matrix determinants for the groups Sn,On,Bn,Hn,for their free versions S+
n ,O+ n ,B+ n ,H+ n , and for the half-liberated versions O n,Hn. We first collect all the known computat...
A q-analogue of Catalan Hankel determinants
Catalan numbers determinants Dyck paths orthogonal polynomials continued fractions
2010/9/1
In this article we shall survey the various methods of evaluating Hankel determinants and
as an illustration we evaluate some Hankel determinants of a q-analogue of Catalan numbers.
Here we consider...
A simple proof of Sylvester's (determinants) identity
Dodgsons Algorithm Matrix Determinant
2008/12/31
In this paper we give a simple proof of Sylvester Identity that is based on determinant properties and that is obtained inductively.
A simple proof of Sylvester's (determinants) identity
Dodgsons Algorithm Matrix Determinant
2008/12/31
In this paper we give a simple proof of Sylvester Identity that is based on determinant properties and that is obtained inductively.
Upper and Lower Bounds For Regularized Determinants
von Neumann-Schatten ideal Regularized determinant
2008/6/26
Upper and Lower Bounds For Regularized Determinants.
ON A PROBLEM IN THE THEORY OF DETERMINANTS
2007/12/13
1. In 1867 Sylvester published a paper in Philos. Mag. with perhaps the funniesttitle ever written in the mathematical literature. The various questions treated hereall led him to the problem to deter...