G. Keller, “Mixing for finite systems of coupled tent maps”, Dynamical systems and related topics, Collection of articles. To the 60th anniversary of academician Dmitrii Viktorovich Anosov, Trudy Mat. Inst. Steklova, 216, Nauka, Moscow, 1997, 320–326; Proc. Steklov Inst. Math., 216 (1997), 315

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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1997, Volume 216, Pages 320–326 (Mi tm1014)

This article is cited in 10 scientific papers (total in 10 papers)

Mixing for finite systems of coupled tent maps

G. Keller

Full-text PDF (881 kB) Citations (10)

Abstract: It is shown that a finite system of coupled mixing tent maps has a unique absolutely continuous invariant measure and is exact with respect to this measure provided the coupling strength does not exceed a certain value

$\varepsilon_{\operatorname{uni}}$ which is independent of the size of the system.

Received in December 1996

Bibliographic databases:

UDC: 517.938

Language: English

Citation: G. Keller, “Mixing for finite systems of coupled tent maps”, Dynamical systems and related topics, Collection of articles. To the 60th anniversary of academician Dmitrii Viktorovich Anosov, Trudy Mat. Inst. Steklova, 216, Nauka, Moscow, 1997, 320–326; Proc. Steklov Inst. Math., 216 (1997), 315–321

Citation in format AMSBIB

\Bibitem{Kel97}

\by G.~Keller

\paper Mixing for finite systems of coupled tent maps

\inbook Dynamical systems and related topics

\bookinfo Collection of articles. To the 60th anniversary of academician Dmitrii Viktorovich Anosov

\serial Trudy Mat. Inst. Steklova

\yr 1997

\vol 216

\pages 320--326

\publ Nauka

\publaddr Moscow

\mathnet{http://mi.mathnet.ru/tm1014}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1632178}

\zmath{https://zbmath.org/?q=an:0911.58025}

\transl

\jour Proc. Steklov Inst. Math.

\yr 1997

\vol 216

\pages 315--321

Linking options:

https://www.mathnet.ru/eng/tm1014

https://www.mathnet.ru/eng/tm/v216/p320

This publication is cited in the following 10 articles:

Liverani C., “Multidimensional Expanding Maps with Singularities: a Pedestrian Approach”, Ergod. Theory Dyn. Syst., 33:Part 1 (2013), 168–182
Bardet J.-B., Keller G., Zweimueller R., “Stochastically Stable Globally Coupled Maps with Bistable Thermodynamic Limit”, Communications in Mathematical Physics, 292:1 (2009), 237–270
Bardet J.-B., Keller G., “Phase transitions in a piecewise expanding coupled map lattice with linear nearest neighbour coupling”, Nonlinearity, 19:9 (2006), 2193–2210
Chawanya T., “Robust 2–band intermittency in high–dimensional globally coupled tent map systems”, Progress of Theoretical Physics Supplement, 2006, no. 161, 169–172
Keller G., Liverani C., “Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension”, Communications in Mathematical Physics, 262:1 (2006), 33–50
Keller G., Liverani C., “A spectral gap for a one-dimensional lattice of coupled piecewise expanding interval maps”, Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems, Lecture Notes in Physics, 671, 2005, 115–151
Keller G., Liverani C., “Coupled map lattices without cluster expansion”, Discrete and Continuous Dynamical Systems, 11:2–3 (2004), 325–335
Keller G., Zweimuller R., “Unidirectionally coupled interval maps: between dynamics and statistical mechanics”, Nonlinearity, 15:1 (2002), 1–24
Liverani C., “Return to equilibrium in classical and quantum systems”, Long Time Behaviour of Classical and Quantum Systems, Series on Concrete and Applicable Mathematics, 1, 2001, 1–32
Keller G., “An ergodic theoretic approach to mean field coupled maps”, Fractal Geometry and Stochastics II, Progress in Probability, 46, 2000, 183–208

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Труды Математического института имени В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

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Abstract page:	276
Full-text PDF :	141
References:	2
First page:	1

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