Keller, Gerhard Rare events, exponential hitting times and extremal indices via spectral perturbation. (English) Zbl 1263.37040 Dyn. Syst. 27, No. 1, 11-27 (2012). Reviewer: Makoto Mori (Tokyo) MSC: 37C30 37A30 PDFBibTeX XMLCite \textit{G. Keller}, Dyn. Syst. 27, No. 1, 11--27 (2012; Zbl 1263.37040) Full Text: DOI arXiv
Keller, Gerhard; Howard, Phil J.; Klages, Rainer Continuity properties of transport coefficients in simple maps. (English) Zbl 1153.37331 Nonlinearity 21, No. 8, 1719-1743 (2008). MSC: 37C30 37C40 37E05 82C70 PDFBibTeX XMLCite \textit{G. Keller} et al., Nonlinearity 21, No. 8, 1719--1743 (2008; Zbl 1153.37331) Full Text: DOI arXiv
Keller, Gerhard; Liverani, Carlangelo Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension. (English) Zbl 1107.37019 Commun. Math. Phys. 262, No. 1, 33-50 (2006). Reviewer: Michael L. Blank (Moskva) MSC: 37C40 37C30 37A25 37A60 37D20 82C20 PDFBibTeX XMLCite \textit{G. Keller} and \textit{C. Liverani}, Commun. Math. Phys. 262, No. 1, 33--50 (2006; Zbl 1107.37019) Full Text: DOI
Keller, G.; Liverani, C. A spectral gap for a one-dimensional lattice of coupled piecewise expanding interval maps. (English) Zbl 1115.37042 Chazottes, Jean-René (ed.) et al., Dynamics of coupled map lattices and of related spatially extended systems. Lectures delivered at the school-forum CML 2004, Paris, France, June 21 – July 2, 2004. Berlin: Springer (ISBN 3-540-24289-9/hbk). Lecture Notes in Physics 671, 115-151 (2005). Reviewer: Jozef Bobok (Praha) MSC: 37E05 37C40 37C30 PDFBibTeX XMLCite \textit{G. Keller} and \textit{C. Liverani}, Lect. Notes Phys. 671, 115--151 (2005; Zbl 1115.37042)
Keller, Gerhard; Rugh, Hans Henrik Eigenfunctions for smooth expanding circle maps. (English) Zbl 1066.37024 Nonlinearity 17, No. 5, 1723-1730 (2004). MSC: 37E10 37D20 47A35 37C30 PDFBibTeX XMLCite \textit{G. Keller} and \textit{H. H. Rugh}, Nonlinearity 17, No. 5, 1723--1730 (2004; Zbl 1066.37024) Full Text: DOI arXiv
Blank, Michael; Keller, Gerhard; Liverani, Carlangelo Ruelle-Perron-Frobenius spectrum for Anosov maps. (English) Zbl 1021.37015 Nonlinearity 15, No. 6, 1905-1973 (2002). Reviewer: Victor Jiménez López (Murcia) MSC: 37D20 37A25 37M25 47A35 PDFBibTeX XMLCite \textit{M. Blank} et al., Nonlinearity 15, No. 6, 1905--1973 (2002; Zbl 1021.37015) Full Text: DOI arXiv
Keller, Gerhard; St. Pierre, Matthias Topological and measurable dynamics of Lorenz maps. (English) Zbl 1211.37048 Fiedler, Bernold (ed.), Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin: Springer (ISBN 3-540-41290-5/hbk). 333-361 (2001). MSC: 37E05 37C30 37C40 37E20 47A35 PDFBibTeX XMLCite \textit{G. Keller} and \textit{M. St. Pierre}, in: Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin: Springer. 333--361 (2001; Zbl 1211.37048)
Buzzi, Jérôme; Keller, Gerhard Zeta functions and transfer operators for multidimensional piecewise affine and expanding maps. (English) Zbl 0990.37017 Ergodic Theory Dyn. Syst. 21, No. 3, 689-716 (2001). Reviewer: Peter N.-S.Wong (Lewiston) MSC: 37C30 PDFBibTeX XMLCite \textit{J. Buzzi} and \textit{G. Keller}, Ergodic Theory Dyn. Syst. 21, No. 3, 689--716 (2001; Zbl 0990.37017) Full Text: DOI
Keller, Gerhard A note on dynamical zeta functions for S-unimodal maps. (English) Zbl 0957.37020 Colloq. Math. 84-85, Pt. 1, 229-233 (2000). Reviewer: Franco Vivaldi (London) MSC: 37C30 37E05 PDFBibTeX XMLCite \textit{G. Keller}, Colloq. Math. 84--85, Part 1, 229--233 (2000; Zbl 0957.37020) Full Text: DOI EuDML
Keller, Gerhard Interval maps with strictly contracting Perron-Frobenius operators. (English) Zbl 1089.37505 Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 9, 1777-1783 (1999). MSC: 37C30 37A25 37E05 37M25 PDFBibTeX XMLCite \textit{G. Keller}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 9, 1777--1783 (1999; Zbl 1089.37505) Full Text: DOI
Keller, Gerhard; Liverani, Carlangelo Stability of the spectrum for transfer operators. (English) Zbl 0956.37003 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 28, No. 1, 141-152 (1999). Reviewer: Michael L.Blank (Moskva) MSC: 37A30 37A50 37C30 37H99 47A35 PDFBibTeX XMLCite \textit{G. Keller} and \textit{C. Liverani}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 28, No. 1, 141--152 (1999; Zbl 0956.37003) Full Text: Numdam EuDML
Blank, Michael; Keller, Gerhard Random perturbations of chaotic dynamical systems: stability of the spectrum. (English) Zbl 0921.58051 Nonlinearity 11, No. 5, 1351-1364 (1998). Reviewer: Yu.Kifer (Jerusalem) MSC: 37A30 37J40 PDFBibTeX XMLCite \textit{M. Blank} and \textit{G. Keller}, Nonlinearity 11, No. 5, 1351--1364 (1998; Zbl 0921.58051) Full Text: DOI arXiv
Keller, Gerhard Coupled map lattice via transfer operators on functions of bounded variation. (English) Zbl 0980.37008 van Strien, S. J. (ed.) et al., Stochastic and spatial structures of dynamical systems. Proceedings of the meeting, Amsterdam, Netherlands, January 1995. Amsterdam: North-Holland. Verh. Afd. Natuurkd., 1. Reeks, K. Ned. Akad. Wet. 45, 71-80 (1996). MSC: 37C30 37L60 PDFBibTeX XMLCite \textit{G. Keller}, Verh. Afd. Natuurkd., 1. Reeks, K. Ned. Akad. Wet. 45, 71--80 (1996; Zbl 0980.37008)
Keller, Gerhard; Künzle, Martin Transfer operators for coupled map lattices. (English) Zbl 0737.58032 Ergodic Theory Dyn. Syst. 12, No. 2, 297-318 (1992). Reviewer: G.Keller and M.Künzle MSC: 37A99 28D05 37E99 37D99 PDFBibTeX XMLCite \textit{G. Keller} and \textit{M. Künzle}, Ergodic Theory Dyn. Syst. 12, No. 2, 297--318 (1992; Zbl 0737.58032) Full Text: DOI
Denker, Manfred; Keller, Gerhard Rigorous statistical procedures for data from dynamical systems. (English) Zbl 0646.62109 J. Stat. Phys. 44, 67-93 (1986). MSC: 62P99 60K99 60F05 54H20 62E20 62G10 PDFBibTeX XMLCite \textit{M. Denker} and \textit{G. Keller}, J. Stat. Phys. 44, 67--93 (1986; Zbl 0646.62109) Full Text: DOI
Keller, Gerhard Generalized bounded variation and applications to piecewise monotonic transformations. (English) Zbl 0574.28014 Z. Wahrscheinlichkeitstheor. Verw. Geb. 69, 461-478 (1985). MSC: 28D05 37A99 47A35 60F05 26A45 PDFBibTeX XMLCite \textit{G. Keller}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 69, 461--478 (1985; Zbl 0574.28014) Full Text: DOI
Keller, Gerhard On the rate of convergence to equilibrium in one-dimensional systems. (English) Zbl 0576.58016 Commun. Math. Phys. 96, 181-193 (1984). MSC: 37A99 28D05 47A10 37D99 37A30 PDFBibTeX XMLCite \textit{G. Keller}, Commun. Math. Phys. 96, 181--193 (1984; Zbl 0576.58016) Full Text: DOI
Hofbauer, Franz; Keller, Gerhard Zeta-functions and transfer-operators for piecewise linear transformations. (English) Zbl 0533.28011 J. Reine Angew. Math. 352, 100-113 (1984). MSC: 28D05 37A99 37C25 PDFBibTeX XMLCite \textit{F. Hofbauer} and \textit{G. Keller}, J. Reine Angew. Math. 352, 100--113 (1984; Zbl 0533.28011) Full Text: DOI Crelle EuDML
Keller, Gerhard Stochastic stability of some one-dimensional dynamical systems. (English) Zbl 0523.28019 Ergodic theory and related topics, Proc. Conf., Vitte/Hiddensee (GDR) 1981, Math. Res. 12, 123-127 (1982). MSC: 28D05 47B38 47A35 60G10 37A99 PDFBibTeX XML
Hofbauer, Franz; Keller, Gerhard Equilibrium states for piecewise monotonic transformations. (English) Zbl 0499.28012 Ergodic Theory Dyn. Syst. 2, 23-43 (1982). MSC: 28D05 54H20 PDFBibTeX XMLCite \textit{F. Hofbauer} and \textit{G. Keller}, Ergodic Theory Dyn. Syst. 2, 23--43 (1982; Zbl 0499.28012) Full Text: DOI
Keller, Gerhard Stochastic stability in some chaotic dynamical systems. (English) Zbl 0496.58010 Monatsh. Math. 94, 313-333 (1982). MSC: 37D45 37A99 37J40 28D05 PDFBibTeX XMLCite \textit{G. Keller}, Monatsh. Math. 94, 313--333 (1982; Zbl 0496.58010) Full Text: DOI EuDML
Hofbauer, Franz; Keller, Gerhard Ergodic properties of invariant measures for piecewise monotonic transformations. (English) Zbl 0485.28016 Math. Z. 180, 119-140 (1982). MSC: 37A30 37A25 37A05 28D05 PDFBibTeX XMLCite \textit{F. Hofbauer} and \textit{G. Keller}, Math. Z. 180, 119--140 (1982; Zbl 0485.28016) Full Text: DOI EuDML