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The qualitative properties of perturbed differential equations are investigated. The analogies of the classical Weyl theorem are proved.
V. A. Erovenko
doaj +1 more source
Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]
This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der +4 more
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On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution [PDF]
This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory (ergodic theory). In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in ...
Werndl, Charlotte +3 more
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A survey of kernel and spectral methods for clustering [PDF]
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
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Spectral theory of bounded linear operators
This textbook introduces spectral theory for bounded linear operators by focusing on (i) the spectral theory and functional calculus for normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and
Kubrusly, Carlos S
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A commutative noncommutative fractal geometry
In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid, Samuel, Anthony
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This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semi finite sense.
Schulz-Baldes, Hermann +2 more
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A Further Study on the Degree-Corrected Spectral Clustering under Spectral Graph Theory
Spectral clustering algorithms are often used to find clusters in the community detection problem. Recently, a degree-corrected spectral clustering algorithm was proposed.
Wei Li, Fangmeng Liu, Yiwen Zhong
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Spectral Sequences In Conleys Theory
In this paper, we analyse the dynamics encoded in the spectral sequence (Er,dr) associated with certain Conley theory connection maps in the presence of an action type filtration.
Da Silveira M.R. +2 more
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
Reese, Jason M. +6 more
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