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SURFACE GROUP REPRESENTATIONS TO SL(2, C) AND HIGGS BUNDLES WITH SMOOTH SPECTRAL DATA
SURFACE GROUP SL(2, C) HIGGS BUNDLES SPECTRAL DATA
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2015/12/17
We show that for every nonelementary representation of a surface group into SL(2, C) there is a Riemann surface structure such that the Higgs bundle associated to the representation lies outside the d...
SPECTRAL CONVERGENCE ON DEGENERATING SURFACES
SPECTRAL DEGENERATING SURFACES
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2015/12/17
The study of the spectrum of the Laplace operator has produced an extensive literature. (See [Cha] and the references therein.) Of special interest to recent applications has been the behavior of spec...
STRONG SHIFT EQUIVALENCE AND THE GENERALIZED SPECTRAL CONJECTURE FOR NONNEGATIVE MATRICES
STRONG SHIFT EQUIVALENCE GENERALIZED SPECTRAL CONJECTURE NONNEGATIVE MATRICES
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2015/9/29
Given matrices A and B shift equivalent over a dense subring R of R,with A primitive, we show that B is strong shift equivalent over R to a primitive matrix. This result shows that the weak form of th...
A Spectral Power Factorization
Spectral Power Factorization
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2015/9/29
This note is related to Theorem 1 of the ICA-BSS Conference’paper “AR Processes and Sources can be Reconstructed from Degenerate Mixtures” [1]. Here we study further the uniqueness of the decompositio...
MICROPHONE ARRAY SPEECH ENHANCEMENT BY BAYESIAN ESTIMATION OF SPECTRAL AMPLITUDE AND PHASE
MICROPHONE ARRAY SPEECH ENHANCEMENT BAYESIAN ESTIMATION SPECTRAL AMPLITUDE AND PHASE
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2015/9/29
Microphone arrays provide new opportunities for noise reduction and speech enhancement. This paper presents anovel decomposition of the estimation problems for short-time spectral amplitude (STSA), lo...
A FAST SPECTRAL ALGORITHM FOR THE QUANTUM BOLTZMANN COLLISION OPERATOR
Quantum Boltzmann equation fast spectral method
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2015/7/14
This paper introduces a fast spectral algorithm for the quantum Boltzmann collision operator. In the usual spectral framework, one of the terms in the operator cannot be evaluatedefficiently. The new ...
SWEEPING PRECONDITIONERS FOR ELASTIC WAVE PROPAGATION WITH SPECTRAL ELEMENT METHODS
Elastic wave seismic wave time-harmonic frequency domain spectral elements parallel preconditioner iterative solver sparse-direct perfectly matched layers full waveform inversion
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2015/7/14
We present a parallel preconditioning method for the iterative solution of the time-harmonicelastic wave equation which makes use of higher-order spectral elements to reduce pollution error. In partic...
Prym varieties of spectral covers
Cluster category rigid objects quiver representation
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2011/2/24
Integral cluster categories of acyclic quivers have recently been used in the representation-theoretic approach to quantum cluster algebras. We show that over a principal ideal domain, such categories...
Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
Intrinsic metrics non-local symmetric Dirichlet applications spectral theory
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2011/2/25
We present a study of what may be called an intrinsic metric for a general regular Dirichlet form. For such forms we then prove a Rademacher type theorem.
On an elliptic boundary problem governed by a Laplacian operator perturbed by a spectral parameter and affected by a weight function in a plane polygon
Spectral prameter Polygon
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2010/9/21
In this work, we study the problem governed by the laplacian operator perturbed by a spectral parameter and affected by a weight function in a polygon. First, the study will be done in a plane sector....
On an inverse problem for a class of Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition
Dirac operator scattering function main equation
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2010/9/25
In this paper, it is examined on the half line the inverse problem of scattering theory for a class Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition . T...
Spectral triples for hyperbolic dynamical systems
Spectral triples hyperbolic dynamical systems
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2010/11/19
Spectral triples are defined for C*-algebras associated with hyperbolic dynamical systems known as Smale spaces. The spectral dimension of one of these spectral triples is shown to recover the topolog...
Spectral characterization of a specific class of trees
Spectral characterization specific class of trees
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2010/11/9
In this paper, it is shown that the graph $T_4(p,q,r)$ is determined by its Laplacian spectrum and there are no two non-isomorphic such graphs which are cospectral with respect to adjacency spectrum. ...
A spectral sequence for the Hochschild cohomology of a coconnective dga
A spectral sequence the Hochschild cohomology coconnective dga
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2010/11/9
A spectral sequence for the computation of the Hochschild cohomology of a coconnective dga over a field is presented. This spectral sequence has a similar flavour to the spectral sequence constructed ...
Note on the group of automorphisms of the Spectral Ball
automorphisms the Spectral Ball
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2010/11/18
It is shown in this short note that the conjecture on the description of the group of automorphism of the spectral ball posed by Ransford and White is false.