Spectral properties and asymptotic periodicity of flows in networks | Zendy

Marjeta Kramar Fijavž | Zendy; Eszter Sikolya | Zendy

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Spectral properties and asymptotic periodicity of flows in networks

Author(s) -

Marjeta Kramar Fijavž,

Eszter Sikolya

Publication year - 2004

Publication title -

mathematische zeitschrift

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.38

H-Index - 66

eISSN - 1432-1823

pISSN - 0025-5874

DOI - 10.1007/s00209-004-0695-3

Subject(s) - mathematics , semigroup , banach space , spectral theory , order (exchange) , graph , pure mathematics , spectral properties , operator (biology) , spectrum (functional analysis) , discrete mathematics , hilbert space , biochemistry , chemistry , computational chemistry , finance , repressor , transcription factor , economics , gene , physics , quantum mechanics

We combine functional analytical and graph theoretical methods in order to study flows in networks. We show that these flows can be described by a strongly continuous operator semigroup on a Banach space. Using Perron-Frobenius spectral theory we then prove that this semigroup behaves asymptotically periodic.

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