Results 1 to 10 of about 12,450 (263)

Methods of perturbation theory in the qualitative essential spectral analysis of differential operators

open access: yesMathematical Modelling and Analysis, 1998
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]

open access: yes, 2005
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
core   +1 more source

On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution [PDF]

open access: yes, 2011
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 In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in ...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
core   +1 more source

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

Spectral theory of bounded linear operators

open access: yes, 2020
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
core   +1 more source

A commutative noncommutative fractal geometry

open access: yes, 2011
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
core   +1 more source

Spectral Flow [PDF]

open access: yes, 2023
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
core   +1 more source

A Further Study on the Degree-Corrected Spectral Clustering under Spectral Graph Theory

open access: yes, 2022
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
core   +1 more source

Spectral Sequences In Conleys Theory

open access: yes, 2015
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
core   +1 more source

Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]

open access: yes, 2013
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
core   +1 more source

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