Results 21 to 30 of about 956,253 (229)

The Spectral Theory of Perturbative Decays [PDF]

open access: yes, 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.
core   +3 more sources

Spectral Theory of Infinite Quantum Graphs [PDF]

open access: yes, 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
core   +3 more sources

Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory II: SU(3) [PDF]

open access: yes, 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
core   +9 more sources

Combining the Two-Layers PageRank Approach with the APA Centrality in Networks with Data

open access: yesISPRS 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
doaj   +1 more source

Can You Hear the Shape of a Market? Geometric Arbitrage and Spectral Theory

open access: yesAxioms, 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
doaj   +1 more source

Undecidability of the Spectral Gap

open access: yesForum of Mathematics, Pi, 2022
We construct families of translationally invariant, nearest-neighbour Hamiltonians on a 2D square lattice of d-level quantum systems (d constant), for which determining whether the system is gapped or gapless is an undecidable problem.
Toby Cubitt   +2 more
doaj   +1 more source

MATHEMATICAL MODELING OF BIOLOGICAL INTERACTIONS: FORMALISMS AND CONTEMPORARY APPLICATIONS

open access: yesAvances en Ciencias e Ingeniería
This 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
doaj   +1 more source

The Diagonalizable Nonnegative Inverse Eigenvalue Problem

open access: yesSpecial Matrices, 2018
In this articlewe provide some lists of real numberswhich can be realized as the spectra of nonnegative diagonalizable matrices but which are not the spectra of nonnegative symmetric matrices.
Cronin Anthony G, Laffey Thomas J.
doaj   +1 more source

Local covariant quantum field theory over spectral geometries

open access: yes, 2004
A framework which combines ideas from Connes' noncommutative geometry, or spectral geometry, with recent ideas on generally covariant quantum field theory, is proposed in the present work.
Buchholz D   +16 more
core   +1 more source

Knizhnik-Zamolodchikov equations and spectral flow in AdS3 string theory [PDF]

open access: yes, 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
core   +3 more sources

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