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On the finite spectral triple of an almost-commutative geometry
spectral triple almost-commutative geometry
2010/11/24
In this paper we start to examine the relevance of the signature of the metric of space-time, on the construction of the product of the pseudo-Riemannian spectral triple with a finite triple describin...
We construct the product of real spectral triples of arbitrary finite dimension (and arbitrary parity) taking into account the fact that in the even case there are two possible real structures, in the...
Perfect transmission scattering as a PT-symmetric spectral problem
Perfect transmission scattering PT-symmetric spectral problem
2010/11/23
We establish that a perfect-transmission scattering problem can be described by a class of parity and time reversal symmetric operators and hereby we provide a scenario for understanding and implemen...
Non-equilibrium allele frequency spectra via spectral methods
Non-equilibrium allele frequency spectra spectral methods
2010/11/24
A major challenge in the analysis of population genomics data consists of isolating signatures of natural selection from background noise caused by random drift and gene flow. Analyses of massive amou...
Spectral Problems for Operator Pencils in Non-Separated Root Zones
Operator pencils eigenvalues variational principles
2010/2/26
Variational principles for real eigenvalues of self-adjoint operator pencils in non-separated root zones are studied.