Bounds on eigenvalues of perturbed Lamé operators with complex potentials
Mathematics in Engineering, 2022 Several recent papers have focused their attention in proving the correct analogue to the Lieb-Thirring inequalities for non self-adjoint operators and in finding bounds on the distribution of their eigenvalues in the complex plane.
Lucrezia Cossetti
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The Spectral Theory of Perturbative Decays [PDF]
, 1997 In this paper, we propose a complex approach to evaluate a function sum of two noncommuting non Hermitian operators. Then, it is proposed an explicit expansion of the evolution operator in the case of the neutral K-meson system under the influence of an ...
Cocolicchio, D., Viggiano, M.
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Spectral Theory of Infinite Quantum Graphs [PDF]
, 2018 We investigate quantum graphs with infinitely many vertices and edges without the common restriction on the geometry of the underlying metric graph that there is a positive lower bound on the lengths of its edges. Our central result is a close connection
Exner, Pavel +3 more
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Knizhnik-Zamolodchikov equations and spectral flow in AdS3 string theory [PDF]
, 2005 I generalize the Knizhnik-Zamolodchikov equations to correlators of spectral flowed fields in AdS3 string theory. If spectral flow is preserved or violated by one unit, the resulting equations are equivalent to the KZ equations.
Ribault, Sylvain
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Combining the Two-Layers PageRank Approach with the APA Centrality in Networks with Data
ISPRS International Journal of Geo-Information, 2018 Identifying the influential nodes in complex networks is a fundamental and practical topic at the moment. In this paper, a new centrality measure for complex networks is proposed based on two contrasting models that have their common origin in the well ...
Taras Agryzkov +3 more
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Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory II: SU(3) [PDF]
, 2009 We complete the computation of spectral measures for SU(3) nimrep graphs arising in subfactor theory, namely the SU(3) ADE graphs associated with SU(3) modular invariants and the McKay graphs of finite subgroups of SU(3).
A. Bovier +28 more
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Dependence of effective spectrum width of synchrotron radiation on particle energy
, 2017 For an exact quantitative description of spectral properties in the theory of synchrotron radiation, the concept of effective spectral width is introduced.
Bagrov, V. G. +4 more
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MATHEMATICAL MODELING OF BIOLOGICAL INTERACTIONS: FORMALISMS AND CONTEMPORARY APPLICATIONS
Avances en Ciencias e IngenieríaThis paper introduces an advanced mathematical framework for describing biological interactions through spectral graph theory. We examine differential equations coupled with various Laplacians (classical, signless, and normalized) to address competition,
Luis Rojas, Juan Castillo, José García
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Can You Hear the Shape of a Market? Geometric Arbitrage and Spectral Theory
Axioms, 2021 Utilizing gauge symmetries, the Geometric Arbitrage Theory reformulates any asset model, allowing for arbitrage by means of a stochastic principal fibre bundle with a connection whose curvature measures the “instantaneous arbitrage capability”.
Simone Farinelli, Hideyuki Takada
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New approach to the Dirac spectral density in lattice gauge theory applications [PDF]
, 2015 We report tests and results from a new approach to the spectral density and the mode number distribution of the Dirac operator in lattice gauge theories.
Fodor, Zoltan +5 more
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