Edit Profile (opens in new tab) Denker, Manfred Compute Distance To: Compute Author ID: denker.manfred Published as: Denker, Manfred; Denker, M. Homepage: http://www.math.psu.edu/denker/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 146 Publications since 1972, including 9 Books 4 Contributions as Editor Reviewing Activity: 221 Reviews Biographic References: 1 Publication Co-Authors: 66 Co-Authors with 128 Joint Publications 1,641 Co-Co-Authors all top 5 Co-Authors 21 single-authored 16 Urbański, Mariusz 15 Aaronson, Jon 10 Gordin, Mikhail Iosifovich 6 Dehling, Herold G. 6 Keller, Gerhard 6 Philipp, Walter 6 Puri, Madan Lal 5 Koch, Susanne 4 Heinemann, Stefan-M. 4 Keane, Michael S. 4 Rösler, Uwe 4 Stadlbauer, Manuel 4 Zhang, Xuan 3 Bhattacharya, Rabi N. 3 Burton, Robert M. jun. 3 Cordeiro, Welington 3 Kifer, Yuri 3 Sato, Hiroshi 3 Tabacu, Lucia 3 Woyczynski, Wojbor A. 3 Yuri, Michiko 2 Brunner, Edgar 2 Duan, Jinqiao 2 Grillenberger, Christian 2 Hudzik, Henryk 2 Nitecki, Zbigniew H. 2 Sarig, Omri M. 2 Senti, Samuel 2 Zheng, Xiaofei 1 Cioletti, Leandro Martins 1 Compagnone, Daniele 1 Dakovic, Rada 1 Eberlein, Ernst W. 1 Facca, Tina 1 Fares, Souha 1 Fiebig, Doris 1 Fisher, Albert Meads 1 Fridline, Mark M. 1 Goswami, Alok 1 Hattori, Kumiko 1 Holzmann, Hajo 1 Imai, Atsushi 1 Jacobs, Konrad 1 Jakubowski, Adam 1 Kabluchko, Zakhar A. 1 Kesseböhmer, Marc 1 Kombrink, Rainer 1 Koslicki, David 1 Krämer, K. F. 1 Levina, Anna 1 Lopes, Artur Oscar 1 Mauldin, Richard Daniel 1 McCourt, Michael J. 1 Min, Aleksey 1 Nicol, Matthew 1 Przytycki, Feliks 1 Rodrigues, Ana 1 Rohde, Steffen 1 Schmalfuß, Björn 1 Seck, Christoph 1 Sharova, Anastasya 1 Sigmund, Karl 1 Smorodinsky, Meir 1 Stratmann, Bernd O. 1 Waymire, Edward C. 1 Ycart, Bernard 1 Zweimüller, Roland all top 5 Serials 7 Stochastics and Dynamics 6 Ergodic Theory and Dynamical Systems 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Discrete and Continuous Dynamical Systems 4 Journal of Statistical Planning and Inference 4 Monatshefte für Mathematik 4 Transactions of the American Mathematical Society 4 Statistics & Probability Letters 4 Probability Theory and Related Fields 3 Israel Journal of Mathematics 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Nonlinearity 3 Colloquium Mathematicum 3 Journal of the London Mathematical Society. Second Series 3 Journal of Multivariate Analysis 3 Mathematische Zeitschrift 3 Probability and Mathematical Statistics 3 Stochastic Processes and their Applications 3 Journal of Mathematical Sciences (New York) 2 Advances in Mathematics 2 The Annals of Probability 2 Fundamenta Mathematicae 2 Proceedings of the American Mathematical Society 2 Forum Mathematicum 2 Dynamical Systems 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Lecture Notes in Mathematics 2 Journal of Statistical Theory and Practice 1 Journal of Statistical Physics 1 Metrika 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Illinois Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Sankhyā. Series A. Methods and Techniques 1 Statistica Neerlandica 1 Advances in Applied Mathematics 1 Statistics & Decisions 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Potential Analysis 1 Journal of Nonparametric Statistics 1 RIMS Kokyuroku 1 Discrete and Continuous Dynamical Systems. Series B 1 DMV Seminar 1 Electronic Journal of Statistics 1 Modern Birkhäuser Classics 1 Contemporary Mathematicians 1 Springer-Lehrbuch all top 5 Fields 84 Probability theory and stochastic processes (60-XX) 58 Dynamical systems and ergodic theory (37-XX) 56 Measure and integration (28-XX) 32 Statistics (62-XX) 15 Functions of a complex variable (30-XX) 14 General topology (54-XX) 4 History and biography (01-XX) 4 Potential theory (31-XX) 4 Functional analysis (46-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Manifolds and cell complexes (57-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 1,708 times in 1,242 Documents Cited by ▼ Year ▼ Ergodic theory on compact spaces. Zbl 0328.28008Denker, Manfred; Grillenberger, Christian; Sigmund, Karl 383 1976 Local limit theorems for partial sums of stationary sequences generated by Gibbs-Markov maps. Zbl 1039.37002Aaronson, Jon; Denker, Manfred 115 2001 Ergodic theory for Markov fibred systems and parabolic rational maps. Zbl 0789.28010Aaronson, Jon; Denker, Manfred; Urbański, Mariusz 73 1993 On U-statistics and von Mises’ statistics for weakly dependent processes. Zbl 0519.60028Denker, Manfred; Keller, Gerhard 66 1983 On the existence of conformal measures. Zbl 0745.58031Denker, Manfred; Urbański, Mariusz 57 1991 Approximation by Brownian motion for Gibbs measures and flows under a function. Zbl 0554.60077Denker, Manfred; Philipp, Walter 56 1984 Ergodic theory of equilibrium states for rational maps. Zbl 0718.58035Denker, M.; Urbański, M. 54 1991 On Sullivan’s conformal measures for rational maps of the Riemann sphere. Zbl 0722.58028Denker, M.; Urbański, M. 42 1991 Rigorous statistical procedures for data from dynamical systems. Zbl 0646.62109Denker, Manfred; Keller, Gerhard 40 1986 Rank statistics under dependent observations and applications to factorial designs. Zbl 0816.62035Brunner, Edgar; Denker, Manfred 37 1994 Asymptotic distribution theory in nonparametric statistics. Zbl 0619.62019Denker, Manfred 33 1985 Hausdorff and conformal measures on Julia sets with a rationally indifferent periodic point. Zbl 0734.28007Denker, M.; Urbański, M. 31 1991 On the transfer operator for rational functions on the Riemann sphere. Zbl 0852.46024Denker, Manfred; Przytycki, Feliks; Urbański, Mariusz 29 1996 On the uniqueness of equilibrium states for piecewise monotone mappings. Zbl 0715.28014Denker, Manfred; Keller, Gerhard; Urbański, Mariusz 23 1990 On the central limit theorem for dynamical systems. Zbl 0628.60030Burton, Robert; Denker, Manfred 22 1987 Aperiodicity of cocycles and conditional local limit theorems. Zbl 1077.37010Aaronson, J.; Denker, M.; Sarig, O.; Zweimüller, R. 21 2004 Sierpiński gasket as a Martin boundary. II: The intrinsic metric. Zbl 0980.60095Denker, Manfred; Sato, Hiroshi 20 1999 The almost sure invariance principle for the empirical process of U- statistic structure. Zbl 0619.60036Dehling, Herold; Denker, Manfred; Philipp, Walter 20 1987 Characteristic functions of random variables attracted to 1-stable laws. Zbl 0937.60005Aaronson, Jon; Denker, Manfred 18 1998 Sierpiński gasket as a Martin boundary. I: Martin kernels. Zbl 0980.60094Denker, Manfred; Sato, Hiroshi 18 2001 A Poisson limit theorem for toral automorphisms. Zbl 1040.37006Denker, Manfred; Gordin, Mikhail; Sharova, Anastasya 18 2004 Absolutely continuous invariant measures for expansive rational maps with rationally indifferent periodic points. Zbl 0745.28008Denker, Manfred; Urbański, Mariusz 17 1991 The Poincaré series of \(\mathbb{C}\backslash \mathbb{Z}\). Zbl 0920.30036Aaronson, Jon; Denker, Manfred 17 1999 Stable limit distributions for strongly mixing sequences. Zbl 0694.60017Denker, Manfred; Jakubowski, Adam 17 1989 Asymptotic statistics. Zbl 0706.62049Bhattacharya, Rabi; Denker, Manfred 16 1990 Almost topological dynamical systems. Zbl 0441.28008Denker, Manfred; Keane, Michael 16 1979 Uniformly non-\(\ell^{(1)}_n\) Musielak-Orlicz sequence spaces. Zbl 0789.46008Denker, Manfred; Hudzik, Henryk 15 1991 Conformal measures for rational functions revisited. Zbl 0915.58041Denker, M.; Mauldin, R. D.; Nitecki, Z.; Urbánski, M. 15 1998 A local limit theorem for stationary processes in the domain of attraction of a normal distribution. Zbl 1017.60025Aaronson, Jon; Denker, Manfred 15 2001 Remarks on weak limit laws for fractal sets. Zbl 0849.60016Denker, Manfred 13 1995 On specification and measure expansiveness. Zbl 1375.37028Cordeiro, Welington; Denker, Manfred; Zhang, Xuan 13 2017 A note on invariance principles for v. Mises’ statistics. Zbl 0609.62029Denker, M.; Grillenberger, C.; Keller, G. 13 1985 Geometric measures for parabolic rational maps. Zbl 0737.58030Denker, M.; Urbański, M. 13 1992 Thermodynamic formalism for random countable Markov shifts. Zbl 1170.37018Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel 13 2008 Invariance principles for von Mises and U-statistics. Zbl 0552.60030Dehling, Herold; Denker, Manfred; Philipp, Walter 13 1984 Gibbs measures for fibred systems. Zbl 0963.37005Denker, Manfred; Gordin, Mikhail 13 1999 Some contributions to Chernoff-Savage theorems. Zbl 0568.62017Denker, Manfred; Rösler, Uwe 12 1985 Central limit theorems for mixing sequences of random variables under minimal conditions. Zbl 0605.60027Dehling, Herold; Denker, Manfred; Philipp, Walter 12 1986 A bounded law of the iterated logarithm for Hilbert space valued martingales and its application to U-statistics. Zbl 0572.60012Dehling, Herold; Denker, Manfred; Philipp, Walter 12 1986 An Erdős-Rényi law for mixing processes. Zbl 1125.60023Denker, Manfred; Kabluchko, Zakhar 11 2007 Upper bounds for ergodic sums of infinite measure preserving transformations. Zbl 0705.28007Aaronson, Jon; Denker, Manfred 11 1990 Finite generators of ergodic, measure-preserving transformations. Zbl 0278.28006Denker, Manfred 11 1974 Ergodic flows are strictly ergodic. Zbl 0283.28012Denker, Manfred; Eberlein, Ernst 11 1974 Hausdorff measures on Julia sets of subexpanding rational maps. Zbl 0763.30008Denker, M.; Urbański, M. 9 1991 The capacity of parabolic Julia sets. Zbl 0763.30009Denker, M.; Urbański, M. 9 1992 Reflections on harmonic analysis of the Sierpiński gasket. Zbl 1020.60066Denker, Manfred; Sato, Hiroshi 9 2002 Resampling \(U\)-statistics using \(p\)-stable laws. Zbl 0770.60039Dehling, Herold; Denker, Manfred; Woyczynski, Wojbor A. 8 1990 Spectral properties of the Ruelle operator for product-type potentials on shift spaces. Zbl 1439.37025Cioletti, L.; Denker, M.; Lopes, A. O.; Stadlbauer, M. 8 2017 Erdős-Rényi laws for dynamical systems. Zbl 1281.60028Denker, Manfred; Nicol, Matthew 8 2013 The central limit theorem for dynamical systems. Zbl 0695.60026Denker, Manfred 8 1989 Second order ergodic theorems for ergodic transformations of infinite measure spaces. Zbl 0738.28011Aaronson, Jon; Denker, Manfred; Fisher, Albert M. 7 1992 On the relative variational principle for fibre expanding maps. Zbl 1023.37017Denker, Manfred; Gordin, Mikhail; Heinemann, Stefan-M. 7 2002 Thermodynamic formalism, large deviation, and multifractals. Zbl 0988.37033Denker, Manfred; Kesseböhmer, Marc 7 2001 On strict ergodicity. Zbl 0275.28018Denker, Manfred 7 1973 Limit theorems for von Mises statistics of a measure preserving transformation. Zbl 1306.60007Denker, Manfred; Gordin, Mikhail 6 2014 Group extensions of Gibbs-Markov maps. Zbl 1028.37003Aaronson, Jon; Denker, Manfred 6 2002 Versik processes and very weak Bernoulli processes with summable rates are independent. Zbl 0601.60001Dehling, Herold; Denker, Manfred; Philipp, Walter 6 1984 Uniform integrability and the central limit theorem for strongly mixing processes. Zbl 0612.60028Denker, Manfred 6 1986 Dirichlet forms on quotients of shift spaces. Zbl 1118.28004Denker, Manfred; Imai, Atsushi; Koch, Susanne 6 2007 The dichotomy of Hausdorff measures and equilibrium states for parabolic rational maps. Zbl 0769.58047Denker, Manfred; Urbański, Mariusz 5 1992 Large deviations and the pressure function. Zbl 0769.60025Denker, Manfred 5 1992 Introduction to analysis of dynamical systems. (Einführung in die Analysis dynamischer Systeme.) Zbl 1057.37001Denker, Manfred 5 2005 Lower bounds for partial sums of certain positive stationary processes. Zbl 0698.60023Aaronson, Jon; Denker, Manfred 5 1989 A note on the construction of nonsingular Gibbs measures. Zbl 0960.37003Denker, Manfred; Yuri, Michiko 4 2000 Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Zbl 0962.60045Bhattacharya, Rabi; Denker, Manfred; Goswami, Alok 4 1999 Introductory statistics and random phenomena. Uncertainty, complexity and chaotic behavior in engineering and science. With Mathematica uncertain virtual worlds by Bernard Ycart. Zbl 0912.62001Denker, Manfred; Woyczyński, Wojbor A. 4 1998 A moment estimate for rank statistics. Zbl 0591.62033Denker, Manfred; Rösler, Uwe 4 1985 Nonparametric tests for scale and location. Zbl 0913.62043Compagnone, Daniele; Denker, Manfred 4 1996 Probability theory for rational maps. Zbl 0882.60006Denker, Manfred 3 1996 Asymptotic normality of two sample linear rank statistics under U- statistic structure. Zbl 0796.62042Denker, Manfred; Puri, Madan L. 3 1992 Conservativity of random Markov fibred systems. Zbl 1171.37303Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel 3 2008 A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics. Zbl 0587.62042Denker, Manfred; Puri, Madan L.; Rösler, Uwe 3 1985 A note on the asymptotic normality of rank statistics. Zbl 0575.62017Denker, M.; Rösler, U. 3 1984 On unitary operators inducing measure-preserving transformations. Zbl 0376.28013Denker, Manfred 3 1978 Almost sure local limit theorems. Zbl 1076.60023Denker, Manfred; Koch, Susanne 3 2002 On exact group extensions. Zbl 1115.37301Aaronson, Jon; Denker, Manfred 3 2000 Statistical decision procedures and ergodic theory. Zbl 0516.62046Denker, Manfred 3 1982 The central limit theorem for random perturbations of rotations. Zbl 0935.60012Denker, Manfred; Gordin, Mikhail 2 1998 Finite state bilaterally deterministic strongly mixing processes. Zbl 0874.60032Burton, Robert M.; Denker, Manfred; Smorodinsky, Meir 2 1996 Testing longitudinal data by logarithmic quantiles. Zbl 1309.62080Denker, Manfred; Tabacu, Lucia 2 2014 Poisson limit for two-dimensional toral automorphism driven by continued fractions. Zbl 1335.37009Gordin, M.; Denker, M. 2 2014 On the FLIL for certain \(\psi\)-mixing processes and infinite measure preserving transformations. Zbl 0734.60033Aaronson, Jon; Denker, Manfred 2 1991 On Sevast’yanov’s theorem. Zbl 1110.60013Denker, M.; Kan, N. 2 2007 Some new examples of Gibbs measures. Zbl 0713.28012Denker, Manfred 2 1990 Conformal measures and \(S\)-unimodal maps. Zbl 0856.58023Denker, Manfred; Nitecki, Zbigniew; Urbański, Mariusz 2 1995 Remarks on Gibbs measures for fibred systems. Zbl 0963.37006Denker, Manfred; Gordin, Mikhail 2 1998 Une demonstration nouvelle du théorème de Goodwyn. Zbl 0239.28015Denker, Manfred 2 1972 Logarithmic quantile estimation for rank statistics. Zbl 1423.62028Denker, Manfred; Tabacu, Lucia 2 2015 Occupation times of discrete-time fractional Brownian motion. Zbl 1488.60093Denker, Manfred; Zheng, Xiaofei 1 2019 Upper and lower class results for subsequences of the Champernowne number. Zbl 0761.11032Denker, M.; Krämer, K. F. 1 1992 Distributional limits for hyperbolic infinite volume geodesic flows. Zbl 0930.37009Aaronson, J.; Denker, M. 1 1997 A note on specification for iterated function systems. Zbl 1336.28013Cordeiro, Welington; Denker, Manfred; Yuri, Michiko 1 2015 On the local times of stationary processes with conditional local limit theorems. Zbl 1396.60088Denker, Manfred; Zheng, Xiaofei 1 2018 Ergodicity of avalanche transformations. Zbl 1351.37040Denker, Manfred; Rodrigues, Ana 1 2014 Corrigendum to: “Thermodynamic formalism for random countable Markov shifts”. Zbl 1303.37013Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel 1 2015 Conformal families of measures for general iterated function systems. Zbl 1344.37040Denker, Manfred; Yuri, Michiko 1 2015 Introductory statistics and random phenomena. Uncertainty, complexity and chaotic behavior in engineering and science. With Mathematica uncertain virtual worlds by Bernard Ycart. Reprint of the 1997 hardback edition. Zbl 1377.62003Denker, Manfred; Woyczynski, Wojbor 1 2017 Fluctuations of ergodic sums on periodic orbits under specification. Zbl 1444.37009Denker, Manfred; Senti, Samuel; Zhang, Xuan 1 2020 Substitution Markov chains and Martin boundaries. Zbl 1406.60112Koslicki, David; Denker, Manfred 1 2016 Circular unitary ensembles: parametric models and their asymptotic maximum likelihood estimates. Zbl 1356.81231Dakovic, R.; Denker, M.; Gordin, M. 1 2016 Fluctuations of ergodic sums on periodic orbits under specification. Zbl 1444.37009Denker, Manfred; Senti, Samuel; Zhang, Xuan 1 2020 Occupation times of discrete-time fractional Brownian motion. Zbl 1488.60093Denker, Manfred; Zheng, Xiaofei 1 2019 On the local times of stationary processes with conditional local limit theorems. Zbl 1396.60088Denker, Manfred; Zheng, Xiaofei 1 2018 On specification and measure expansiveness. Zbl 1375.37028Cordeiro, Welington; Denker, Manfred; Zhang, Xuan 13 2017 Spectral properties of the Ruelle operator for product-type potentials on shift spaces. Zbl 1439.37025Cioletti, L.; Denker, M.; Lopes, A. O.; Stadlbauer, M. 8 2017 Introductory statistics and random phenomena. Uncertainty, complexity and chaotic behavior in engineering and science. With Mathematica uncertain virtual worlds by Bernard Ycart. Reprint of the 1997 hardback edition. Zbl 1377.62003Denker, Manfred; Woyczynski, Wojbor 1 2017 Lindeberg theorem for Gibbs-Markov dynamics. Zbl 1381.37010Denker, Manfred; Senti, Samuel; Zhang, Xuan 1 2017 Substitution Markov chains and Martin boundaries. Zbl 1406.60112Koslicki, David; Denker, Manfred 1 2016 Circular unitary ensembles: parametric models and their asymptotic maximum likelihood estimates. Zbl 1356.81231Dakovic, R.; Denker, M.; Gordin, M. 1 2016 Logarithmic quantile estimation for rank statistics. Zbl 1423.62028Denker, Manfred; Tabacu, Lucia 2 2015 A note on specification for iterated function systems. Zbl 1336.28013Cordeiro, Welington; Denker, Manfred; Yuri, Michiko 1 2015 Corrigendum to: “Thermodynamic formalism for random countable Markov shifts”. Zbl 1303.37013Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel 1 2015 Conformal families of measures for general iterated function systems. Zbl 1344.37040Denker, Manfred; Yuri, Michiko 1 2015 Limit theorems for von Mises statistics of a measure preserving transformation. Zbl 1306.60007Denker, Manfred; Gordin, Mikhail 6 2014 Testing longitudinal data by logarithmic quantiles. Zbl 1309.62080Denker, Manfred; Tabacu, Lucia 2 2014 Poisson limit for two-dimensional toral automorphism driven by continued fractions. Zbl 1335.37009Gordin, M.; Denker, M. 2 2014 Ergodicity of avalanche transformations. Zbl 1351.37040Denker, Manfred; Rodrigues, Ana 1 2014 Richter’s local limit theorem and Black-Scholes type formulas. Zbl 1298.91162Denker, Manfred; Fares, Souha 1 2014 Erdős-Rényi laws for dynamical systems. Zbl 1281.60028Denker, Manfred; Nicol, Matthew 8 2013 Tercentennial anniversary of Bernoulli’s law of large numbers. Zbl 1356.60007Denker, Manfred 1 2013 The almost sure version of Cramer’s theorem. Zbl 1214.60008Denker, Manfred; Fridline, Mark M. 1 2010 Pseudorandom numbers for conformal measures. Zbl 1204.37006Denker, Manfred; Duan, Jinqiao; McCourt, Michael 1 2009 Thermodynamic formalism for random countable Markov shifts. Zbl 1170.37018Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel 13 2008 Conservativity of random Markov fibred systems. Zbl 1171.37303Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel 3 2008 Markov partitions for fibre expanding systems. Zbl 1142.37004Denker, Manfred; Holzmann, Hajo 1 2008 An Erdős-Rényi law for mixing processes. Zbl 1125.60023Denker, Manfred; Kabluchko, Zakhar 11 2007 Dirichlet forms on quotients of shift spaces. Zbl 1118.28004Denker, Manfred; Imai, Atsushi; Koch, Susanne 6 2007 On Sevast’yanov’s theorem. Zbl 1110.60013Denker, M.; Kan, N. 2 2007 Introduction to analysis of dynamical systems. (Einführung in die Analysis dynamischer Systeme.) Zbl 1057.37001Denker, Manfred 5 2005 Aperiodicity of cocycles and conditional local limit theorems. Zbl 1077.37010Aaronson, J.; Denker, M.; Sarig, O.; Zweimüller, R. 21 2004 A Poisson limit theorem for toral automorphisms. Zbl 1040.37006Denker, Manfred; Gordin, Mikhail; Sharova, Anastasya 18 2004 Reflections on harmonic analysis of the Sierpiński gasket. Zbl 1020.60066Denker, Manfred; Sato, Hiroshi 9 2002 On the relative variational principle for fibre expanding maps. Zbl 1023.37017Denker, Manfred; Gordin, Mikhail; Heinemann, Stefan-M. 7 2002 Group extensions of Gibbs-Markov maps. Zbl 1028.37003Aaronson, Jon; Denker, Manfred 6 2002 Almost sure local limit theorems. Zbl 1076.60023Denker, Manfred; Koch, Susanne 3 2002 Local limit theorems for partial sums of stationary sequences generated by Gibbs-Markov maps. Zbl 1039.37002Aaronson, Jon; Denker, Manfred 115 2001 Sierpiński gasket as a Martin boundary. I: Martin kernels. Zbl 0980.60094Denker, Manfred; Sato, Hiroshi 18 2001 A local limit theorem for stationary processes in the domain of attraction of a normal distribution. Zbl 1017.60025Aaronson, Jon; Denker, Manfred 15 2001 Thermodynamic formalism, large deviation, and multifractals. Zbl 0988.37033Denker, Manfred; Kesseböhmer, Marc 7 2001 A note on the construction of nonsingular Gibbs measures. Zbl 0960.37003Denker, Manfred; Yuri, Michiko 4 2000 On exact group extensions. Zbl 1115.37301Aaronson, Jon; Denker, Manfred 3 2000 Sierpiński gasket as a Martin boundary. II: The intrinsic metric. Zbl 0980.60095Denker, Manfred; Sato, Hiroshi 20 1999 The Poincaré series of \(\mathbb{C}\backslash \mathbb{Z}\). Zbl 0920.30036Aaronson, Jon; Denker, Manfred 17 1999 Gibbs measures for fibred systems. Zbl 0963.37005Denker, Manfred; Gordin, Mikhail 13 1999 Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Zbl 0962.60045Bhattacharya, Rabi; Denker, Manfred; Goswami, Alok 4 1999 On Hausdorff measures and SBR measures for parabolic rational maps. Zbl 1089.37525Denker, M.; Rohde, S. 1 1999 Characteristic functions of random variables attracted to 1-stable laws. Zbl 0937.60005Aaronson, Jon; Denker, Manfred 18 1998 Conformal measures for rational functions revisited. Zbl 0915.58041Denker, M.; Mauldin, R. D.; Nitecki, Z.; Urbánski, M. 15 1998 Introductory statistics and random phenomena. Uncertainty, complexity and chaotic behavior in engineering and science. With Mathematica uncertain virtual worlds by Bernard Ycart. Zbl 0912.62001Denker, Manfred; Woyczyński, Wojbor A. 4 1998 The central limit theorem for random perturbations of rotations. Zbl 0935.60012Denker, Manfred; Gordin, Mikhail 2 1998 Remarks on Gibbs measures for fibred systems. Zbl 0963.37006Denker, Manfred; Gordin, Mikhail 2 1998 Distributional limits for hyperbolic infinite volume geodesic flows. Zbl 0930.37009Aaronson, J.; Denker, M. 1 1997 On the transfer operator for rational functions on the Riemann sphere. Zbl 0852.46024Denker, Manfred; Przytycki, Feliks; Urbański, Mariusz 29 1996 Nonparametric tests for scale and location. Zbl 0913.62043Compagnone, Daniele; Denker, Manfred 4 1996 Probability theory for rational maps. Zbl 0882.60006Denker, Manfred 3 1996 Finite state bilaterally deterministic strongly mixing processes. Zbl 0874.60032Burton, Robert M.; Denker, Manfred; Smorodinsky, Meir 2 1996 Remarks on weak limit laws for fractal sets. Zbl 0849.60016Denker, Manfred 13 1995 Conformal measures and \(S\)-unimodal maps. Zbl 0856.58023Denker, Manfred; Nitecki, Zbigniew; Urbański, Mariusz 2 1995 Rank statistics under dependent observations and applications to factorial designs. Zbl 0816.62035Brunner, Edgar; Denker, Manfred 37 1994 On some limit laws for perturbed empirical distribution functions. Zbl 0810.60015Denker, Manfred; Puri, Madan L. 1 1994 Relating Hausdorff measures and harmonic measures on parabolic Jordan curves. Zbl 0797.30021Denker, M.; Urbański, M. 1 1994 Ergodic theory for Markov fibred systems and parabolic rational maps. Zbl 0789.28010Aaronson, Jon; Denker, Manfred; Urbański, Mariusz 73 1993 Geometric measures for parabolic rational maps. Zbl 0737.58030Denker, M.; Urbański, M. 13 1992 The capacity of parabolic Julia sets. Zbl 0763.30009Denker, M.; Urbański, M. 9 1992 Second order ergodic theorems for ergodic transformations of infinite measure spaces. Zbl 0738.28011Aaronson, Jon; Denker, Manfred; Fisher, Albert M. 7 1992 The dichotomy of Hausdorff measures and equilibrium states for parabolic rational maps. Zbl 0769.58047Denker, Manfred; Urbański, Mariusz 5 1992 Large deviations and the pressure function. Zbl 0769.60025Denker, Manfred 5 1992 Asymptotic normality of two sample linear rank statistics under U- statistic structure. Zbl 0796.62042Denker, Manfred; Puri, Madan L. 3 1992 Upper and lower class results for subsequences of the Champernowne number. Zbl 0761.11032Denker, M.; Krämer, K. F. 1 1992 On the existence of conformal measures. Zbl 0745.58031Denker, Manfred; Urbański, Mariusz 57 1991 Ergodic theory of equilibrium states for rational maps. Zbl 0718.58035Denker, M.; Urbański, M. 54 1991 On Sullivan’s conformal measures for rational maps of the Riemann sphere. Zbl 0722.58028Denker, M.; Urbański, M. 42 1991 Hausdorff and conformal measures on Julia sets with a rationally indifferent periodic point. Zbl 0734.28007Denker, M.; Urbański, M. 31 1991 Absolutely continuous invariant measures for expansive rational maps with rationally indifferent periodic points. Zbl 0745.28008Denker, Manfred; Urbański, Mariusz 17 1991 Uniformly non-\(\ell^{(1)}_n\) Musielak-Orlicz sequence spaces. Zbl 0789.46008Denker, Manfred; Hudzik, Henryk 15 1991 Hausdorff measures on Julia sets of subexpanding rational maps. Zbl 0763.30008Denker, M.; Urbański, M. 9 1991 On the FLIL for certain \(\psi\)-mixing processes and infinite measure preserving transformations. Zbl 0734.60033Aaronson, Jon; Denker, Manfred 2 1991 On the uniqueness of equilibrium states for piecewise monotone mappings. Zbl 0715.28014Denker, Manfred; Keller, Gerhard; Urbański, Mariusz 23 1990 Asymptotic statistics. Zbl 0706.62049Bhattacharya, Rabi; Denker, Manfred 16 1990 Upper bounds for ergodic sums of infinite measure preserving transformations. Zbl 0705.28007Aaronson, Jon; Denker, Manfred 11 1990 Resampling \(U\)-statistics using \(p\)-stable laws. Zbl 0770.60039Dehling, Herold; Denker, Manfred; Woyczynski, Wojbor A. 8 1990 Some new examples of Gibbs measures. Zbl 0713.28012Denker, Manfred 2 1990 Stable limit distributions for strongly mixing sequences. Zbl 0694.60017Denker, Manfred; Jakubowski, Adam 17 1989 The central limit theorem for dynamical systems. Zbl 0695.60026Denker, Manfred 8 1989 Lower bounds for partial sums of certain positive stationary processes. Zbl 0698.60023Aaronson, Jon; Denker, Manfred 5 1989 Uniformly \(non\)-\(\ell _ n^{(1)}\) Musielak-Orlicz sequence spaces. Zbl 0643.46005Denker, Manfred; Hudzik, Henryk 1 1988 On the central limit theorem for dynamical systems. Zbl 0628.60030Burton, Robert; Denker, Manfred 22 1987 The almost sure invariance principle for the empirical process of U- statistic structure. Zbl 0619.60036Dehling, Herold; Denker, Manfred; Philipp, Walter 20 1987 Rigorous statistical procedures for data from dynamical systems. Zbl 0646.62109Denker, Manfred; Keller, Gerhard 40 1986 Central limit theorems for mixing sequences of random variables under minimal conditions. Zbl 0605.60027Dehling, Herold; Denker, Manfred; Philipp, Walter 12 1986 A bounded law of the iterated logarithm for Hilbert space valued martingales and its application to U-statistics. Zbl 0572.60012Dehling, Herold; Denker, Manfred; Philipp, Walter 12 1986 Uniform integrability and the central limit theorem for strongly mixing processes. Zbl 0612.60028Denker, Manfred 6 1986 Asymptotic distribution theory in nonparametric statistics. Zbl 0619.62019Denker, Manfred 33 1985 A note on invariance principles for v. Mises’ statistics. Zbl 0609.62029Denker, M.; Grillenberger, C.; Keller, G. 13 1985 Some contributions to Chernoff-Savage theorems. Zbl 0568.62017Denker, Manfred; Rösler, Uwe 12 1985 A moment estimate for rank statistics. Zbl 0591.62033Denker, Manfred; Rösler, Uwe 4 1985 A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics. Zbl 0587.62042Denker, Manfred; Puri, Madan L.; Rösler, Uwe 3 1985 Simulations for invariant measures of dynamical systems. Zbl 0581.58027Denker, Manfred; Keller, Gerhard 1 1985 Approximation by Brownian motion for Gibbs measures and flows under a function. Zbl 0554.60077Denker, Manfred; Philipp, Walter 56 1984 Invariance principles for von Mises and U-statistics. Zbl 0552.60030Dehling, Herold; Denker, Manfred; Philipp, Walter 13 1984 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,170 Authors 47 Denker, Manfred 36 Urbański, Mariusz 28 Melbourne, Ian 21 Terhesiu, Dalia 20 Oprocha, Piotr 16 Dehling, Herold G. 15 Przytycki, Feliks 14 Aaronson, Jon 14 Varandas, Paulo 13 Sarig, Omri M. 12 Hofbauer, Franz 11 Keller, Gerhard 11 Kifer, Yuri 10 Boyle, Mike 10 Bradley, Richard C. jun. 10 Brunner, Edgar 10 Dolgopyat, Dmitry 10 Kesseböhmer, Marc 10 Nicol, Matthew 10 Puri, Madan Lal 10 Todd, Mike 10 Vaienti, Sandro 9 Bindele, Huybrechts F. 9 Lopes, Artur Oscar 9 Rivera-Letelier, Juan 8 Alsedà, Lluís 8 Cui, Yunan 8 Gouëzel, Sébastien 8 Lau, Kasing 8 Lind, Douglas A. 8 Peligrad, Magda 8 Stadlbauer, Manuel 8 Stratmann, Bernd O. 8 Thompson, Daniel J. 8 Weiss, Benjamin 8 Wendler, Martin 8 Zdunik, Anna 8 Zweimüller, Roland 7 Blokh, Alexander M. 7 Buzzi, Jérôme 7 Fiebig, Doris 7 Hudzik, Henryk 7 Merlevède, Florence 7 Pollicott, Mark 7 Takahasi, Hiroki 7 Tian, Xueting 7 Volný, Dalibor 7 Wolf, Christian K. 7 Ye, Xiangdong 6 Alves, José Ferreira 6 Bruin, Henk 6 Climenhaga, Vaughn 6 Cordeiro, Welington 6 Gelfert, Katrin Grit 6 Gordin, Mikhail Iosifovich 6 Haydn, Nicolai T. A. 6 Huang, Wen 6 Mayer, Volker 6 Misiurewicz, Michał 6 Pène, Françoise 6 Rams, Michał 6 Thomsen, Klaus E. 6 Wang, Xiangyang 6 Yuri, Michiko 5 Baake, Michael 5 Bathke, Arne C. 5 Blanchard, François 5 Dedecker, Jérôme 5 Downarowicz, Tomasz 5 Freitas, Jorge Milhazes 5 Glasner, Eli 5 Jakubowski, Adam 5 Kakizawa, Yoshihide 5 Kwietniak, Dominik 5 Lee, Keonhee 5 Li, Huaibin 5 Maass, Alejandro 5 Nakada, Hitoshi 5 Pesin, Yakov Borisovich 5 Rodrigues, Fagner B. 5 Sakai, Kazuhiro 5 Saltan, Mustafa 5 Shang, Shaoqiang 5 Sridharan, Shrihari 5 Sumi, Naoya 5 Szewczak, Zbigniew Stanisław 5 Tabacu, Lucia 5 Yamamoto, Kenichiro 4 Araújo, Vítor 4 Burton, Robert M. jun. 4 Carvalho, Bernardo 4 Cioletti, Leandro Martins 4 Cuny, Christophe 4 Das, Tushar Kanti 4 Fiebig, Ulf-Rainer 4 Freitas, Ana Cristina Moreira 4 Gao, Junyang 4 Grillenberger, Christian 4 Harel, Michel 4 Jaerisch, Johannes ...and 1,070 more Authors all top 5 Cited in 233 Serials 96 Ergodic Theory and Dynamical Systems 66 Transactions of the American Mathematical Society 49 Israel Journal of Mathematics 44 Communications in Mathematical Physics 41 Stochastics and Dynamics 39 Journal of Statistical Physics 35 Discrete and Continuous Dynamical Systems 34 Journal of Statistical Planning and Inference 33 Monatshefte für Mathematik 33 Stochastic Processes and their Applications 28 Proceedings of the American Mathematical Society 27 Journal of Mathematical Analysis and Applications 27 Advances in Mathematics 27 Journal of Multivariate Analysis 23 Statistics & Probability Letters 23 Probability Theory and Related Fields 21 Inventiones Mathematicae 16 Nonlinearity 15 The Annals of Probability 13 Mathematische Zeitschrift 12 Journal d’Analyse Mathématique 12 Journal of Nonparametric Statistics 11 Theoretical Computer Science 11 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 11 Journal of Theoretical Probability 11 Dynamical Systems 9 Communications in Statistics. Theory and Methods 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Indagationes Mathematicae. New Series 8 Journal of Differential Equations 8 Journal of Functional Analysis 8 Topology and its Applications 8 Physica D 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Journal of Difference Equations and Applications 8 Journal of Modern Dynamics 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Electronic Journal of Statistics 6 Journal of Econometrics 6 Bulletin of the American Mathematical Society. New Series 6 Computational Statistics and Data Analysis 6 Acta Mathematica Sinica. English Series 6 Discrete and Continuous Dynamical Systems. 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Quatrième Série 3 Bulletin de la Société Mathématique de France 3 Compositio Mathematica 3 Duke Mathematical Journal 3 Publications Mathématiques 3 Journal of Number Theory 3 Memoirs of the American Mathematical Society 3 Advances in Applied Mathematics 3 Econometric Reviews 3 Journal of the American Mathematical Society 3 Forum Mathematicum 3 Journal of Statistical Computation and Simulation 3 Journal of Dynamics and Differential Equations 3 Fractals 3 Abstract and Applied Analysis 3 Conformal Geometry and Dynamics 3 Journal of Inequalities and Applications 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Journal of Dynamical Systems and Geometric Theories 3 Complex Analysis and Operator Theory 3 Annales Henri Lebesgue 2 Letters in Mathematical Physics 2 Lithuanian Mathematical Journal 2 Rocky Mountain Journal of Mathematics 2 Stochastics 2 Ukrainian Mathematical Journal 2 Biometrical Journal 2 Fundamenta Mathematicae 2 Fuzzy Sets and Systems 2 Journal of Computational and Applied Mathematics 2 Kybernetika 2 Mathematische Nachrichten 2 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Stochastic Analysis and Applications ...and 133 more Serials all top 5 Cited in 49 Fields 739 Dynamical systems and ergodic theory (37-XX) 360 Probability theory and stochastic processes (60-XX) 233 Measure and integration (28-XX) 203 Statistics (62-XX) 118 General topology (54-XX) 56 Number theory (11-XX) 43 Functions of a complex variable (30-XX) 40 Functional analysis (46-XX) 39 Statistical mechanics, structure of matter (82-XX) 31 Computer science (68-XX) 28 Operator theory (47-XX) 18 Topological groups, Lie groups (22-XX) 17 Numerical analysis (65-XX) 17 Information and communication theory, circuits (94-XX) 14 Group theory and generalizations (20-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Real functions (26-XX) 12 Manifolds and cell complexes (57-XX) 11 Combinatorics (05-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Potential theory (31-XX) 8 Differential geometry (53-XX) 7 Ordinary differential equations (34-XX) 7 Convex and discrete geometry (52-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Partial differential equations (35-XX) 6 Quantum theory (81-XX) 6 Biology and other natural sciences (92-XX) 5 History and biography (01-XX) 5 Difference and functional equations (39-XX) 4 Mathematical logic and foundations (03-XX) 4 Abstract harmonic analysis (43-XX) 4 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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