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SIMULTANEOUS ACTION OF FINITELY MANY INTERVAL MAPS: SOME DYNAMICAL AND STATISTICAL PROPERTIES
Umeå Universirty, 901 87 Umeå, Sweden.
KTH, Skolan för kemi, bioteknologi och hälsa (CBH), Fiber- och polymerteknologi, Fiberprocesser.ORCID-id: 0009-0006-4614-4861
Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), Kerala 695551, India, Kerala.
2024 (engelsk)Inngår i: Real Analysis Exchange, ISSN 0147-1937, E-ISSN 1930-1219, Vol. 49, nr 1, s. 13-66Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider finitely many interval maps simultaneously acting on the unit interval I = [0, 1] in the real line R; each with utmost finitely many jump discontinuities and study certain important statistical properties. Even though we use the symbolic space on N letters to reduce the case of simultaneous dynamics to maps on an appropriate space, our aim in this paper remains to resolve ergodicity, rates of recurrence, decay of correlations and invariance principles leading to the central limit theorem for the dynamics that evolves through simultaneous action. In order to achieve our ends, we define various Ruelle operators, normalise them by various means and exploit their spectra.

sted, utgiver, år, opplag, sider
Michigan State University Press , 2024. Vol. 49, nr 1, s. 13-66
Emneord [en]
Growth of typical trajectories, invariance principles, Ruelle operator and
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URN: urn:nbn:se:kth:diva-346827DOI: 10.14321/realanalexch.49.1.1644840576Scopus ID: 2-s2.0-85192733942OAI: oai:DiVA.org:kth-346827DiVA, id: diva2:1860441
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QC 20240529

Tilgjengelig fra: 2024-05-24 Laget: 2024-05-24 Sist oppdatert: 2024-05-29bibliografisk kontrollert

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