Results 21 to 30 of about 6,490,412 (293)

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

Spontaneous decay of level from spectral theory point of view [PDF]

open access: yesOpuscula Mathematica, 2021
In quantum field theory it is believed that the spontaneous decay of excited atomic or molecular level is due to the interaction with continuum of field modes.
Eduard Ianovich
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

Weak spectral theory [PDF]

open access: yesProceedings of the American Mathematical Society, 1985
We initiate the weak spectrum of a linear operator on L p {L^p}
openaire   +1 more source

Matrix-valued spectral theory applied to various differential operators

open access: yes, 2022
Liaw, ConstanzeThe theory of finite-rank self-adjoint perturbations allows for the determination of spectral information for otherwise inaccessible classes of operators by using the tools of analytic function theory in the matrix-valued setting. The work
Bush, Michael
core   +1 more source

Spectral Theory of Perturbative Decays

open access: yesInternational Journal of Theoretical Physics, 1998
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 external interaction. Then, the importance of the procedure is pointed out to consider the algebraic
D Cocolicchio, M Viggiano
openaire   +4 more sources

A survey of kernel and spectral methods for clustering [PDF]

open access: yes, 2007
Clustering algorithms are a useful tool to explore data structures and have been employed in many disciplines. The focus of this paper is the partitioning clustering problem with a special interest in two recent approaches: kernel and spectral methods ...
Masulli, F.   +11 more
core   +1 more source

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

On the Spectral Theory of Operator Measures

open access: yesFunctional Analysis and Its Applications, 2002
In the first section we provide a solution to the M. G. Krein problem about an inner description of the space $L_2(Σ,H).$ In the second section we introduce the multiplicity function for an operator measure. Making use of the description of the space $L_2(Σ,H)$ we establish the correctness of the definition and give a criterion for a spectral measure ...
Malamud, M. M., Malamud, S. M.
openaire   +3 more sources

Spectral and wave function statistics in Quantum digraphs [PDF]

open access: yes, 2012
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.Spectral and wave function statistics of the quantum directed graph, QdG, are studied.
Megaides, Rodrigo
core   +6 more sources

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