Results 1 to 10 of about 253,031 (238)

Methods of perturbation theory in the qualitative essential spectral analysis of differential operators

open access: yesMathematical Modelling and Analysis, 1998
The qualitative properties of perturbed differential equations are investigated. The analogies of the classical Weyl theorem are proved.
V. A. Erovenko
doaj   +1 more source

From asymptotics to spectral measures: determinate versus indeterminate moment problems [PDF]

open access: yes, 2005
In the field of orthogonal polynomials theory, the classical Markov theorem shows that for determinate moment problems the spectral measure is under control of the polynomials asymptotics.
Valent, Galliano
core   +5 more sources

Quantum gravity: unification of principles and interactions, and promises of spectral geometry [PDF]

open access: yes, 2007
Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity.
Booss-Bavnbek, Bernhelm   +2 more
core   +7 more sources

Degasperis-Procesi peakons and the discrete cubic string [PDF]

open access: yes, 2005
We use an inverse scattering approach to study multi-peakon solutions of the Degasperis-Procesi (DP) equation, an integrable PDE similar to the Camassa-Holm shallow water equation.
Lundmark, Hans, Szmigielski, Jacek
core   +3 more sources

Troesch complexes and extensions of strict polynomial functors [PDF]

open access: yes, 2011
We develop a new approach of extension calculus in the category of strict polynomial functors, based on Troesch complexes. We obtain new short elementary proofs of numerous classical Ext-computations as well as new results.
Touzé, Antoine
core   +4 more sources

The T-algebra spectral sequence: Comparisons and applications [PDF]

open access: yes, 2014
In previous work with Niles Johnson the author constructed a spectral sequence for computing homotopy groups of spaces of maps between structured objects such as G-spaces and E_n-ring spectra.
Noel, Justin
core   +1 more source

Quantum curves for Hitchin fibrations and the Eynard-Orantin theory [PDF]

open access: yes, 2013
We generalize the topological recursion of Eynard-Orantin (2007) to the family of spectral curves of Hitchin fibrations. A spectral curve in the topological recursion, which is defined to be a complex plane curve, is replaced with a generic curve in the ...
A. Beauville   +35 more
core   +4 more sources

An Introduction to Wishart Matrix Moments

open access: yes, 2018
These lecture notes provide a comprehensive, self-contained introduction to the analysis of Wishart matrix moments. This study may act as an introduction to some particular aspects of random matrix theory, or as a self-contained exposition of Wishart ...
Bishop, Adrian N.   +2 more
core   +1 more source

Structured Random Matrices

open access: yes, 2016
Random matrix theory is a well-developed area of probability theory that has numerous connections with other areas of mathematics and its applications. Much of the literature in this area is concerned with matrices that possess many exact or approximate ...
F. Lust-Piquard   +12 more
core   +1 more source

Spectral Analysis of Certain Schr\"odinger Operators [PDF]

open access: yes, 2012
The $J$-matrix method is extended to difference and $q$-difference operators and is applied to several explicit differential, difference, $q$-difference and second order Askey-Wilson type operators. The spectrum and the spectral measures are discussed in
Ismail, Mourad E. H., Koelink, Erik
core   +6 more sources

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