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## Denker, Manfred

Compute Distance To:
 Author ID: denker.manfred Published as: Denker, M.; Denker, Manfred Homepage: http://www.math.psu.edu/denker/ External Links: MGP · Wikidata · GND
 Documents Indexed: 149 Publications since 1972, including 12 Books Reviewing Activity: 221 Reviews
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#### 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 Burton, Robert M. jun. 3 Cordeiro, Welington 3 Kifer, Yuri 3 Sato, Hiroshi 3 Tabacu, Lucia 3 Woyczynski, Wojbor A. 3 Yuri, Michiko 2 Bhattacharya, Rabi N. 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 Kan, Naoto 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 Zweimüller, Roland
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#### 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 Springer-Lehrbuch
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#### Fields

 82 Probability theory and stochastic processes (60-XX) 59 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 Potential theory (31-XX) 4 Functional analysis (46-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-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)

#### Citations contained in zbMATH Open

112 Publications have been cited 1,551 times in 1,140 Documents Cited by Year
Ergodic theory on compact spaces. Zbl 0328.28008
Denker, Manfred; Grillenberger, Christian; Sigmund, Karl
1976
Local limit theorems for partial sums of stationary sequences generated by Gibbs-Markov maps. Zbl 1039.37002
Aaronson, Jon; Denker, Manfred
2001
On U-statistics and von Mises’ statistics for weakly dependent processes. Zbl 0519.60028
Denker, Manfred; Keller, Gerhard
1983
Ergodic theory for Markov fibred systems and parabolic rational maps. Zbl 0789.28010
Aaronson, Jon; Denker, Manfred; Urbański, Mariusz
1993
Approximation by Brownian motion for Gibbs measures and flows under a function. Zbl 0554.60077
Denker, Manfred; Philipp, Walter
1984
Ergodic theory of equilibrium states for rational maps. Zbl 0718.58035
Denker, M.; Urbański, M.
1991
On the existence of conformal measures. Zbl 0745.58031
Denker, Manfred; Urbański, Mariusz
1991
On Sullivan’s conformal measures for rational maps of the Riemann sphere. Zbl 0722.58028
Denker, M.; Urbański, M.
1991
Rigorous statistical procedures for data from dynamical systems. Zbl 0646.62109
Denker, Manfred; Keller, Gerhard
1986
Rank statistics under dependent observations and applications to factorial designs. Zbl 0816.62035
Brunner, Edgar; Denker, Manfred
1994
Asymptotic distribution theory in nonparametric statistics. Zbl 0619.62019
Denker, Manfred
1985
On the transfer operator for rational functions on the Riemann sphere. Zbl 0852.46024
Denker, Manfred; Przytycki, Feliks; Urbański, Mariusz
1996
Hausdorff and conformal measures on Julia sets with a rationally indifferent periodic point. Zbl 0734.28007
Denker, M.; Urbański, M.
1991
Sierpiński gasket as a Martin boundary. II: The intrinsic metric. Zbl 0980.60095
Denker, Manfred; Sato, Hiroshi
1999
On the uniqueness of equilibrium states for piecewise monotone mappings. Zbl 0715.28014
Denker, Manfred; Keller, Gerhard; Urbański, Mariusz
1990
The almost sure invariance principle for the empirical process of U- statistic structure. Zbl 0619.60036
Dehling, Herold; Denker, Manfred; Philipp, Walter
1987
Aperiodicity of cocycles and conditional local limit theorems. Zbl 1077.37010
Aaronson, J.; Denker, M.; Sarig, O.; Zweimüller, R.
2004
Stable limit distributions for strongly mixing sequences. Zbl 0694.60017
1989
On the central limit theorem for dynamical systems. Zbl 0628.60030
Burton, Robert; Denker, Manfred
1987
Sierpiński gasket as a Martin boundary. I: Martin kernels. Zbl 0980.60094
Denker, Manfred; Sato, Hiroshi
2001
Characteristic functions of random variables attracted to 1-stable laws. Zbl 0937.60005
Aaronson, Jon; Denker, Manfred
1998
Asymptotic statistics. Zbl 0706.62049
Bhattacharya, Rabi; Denker, Manfred
1990
Almost topological dynamical systems. Zbl 0441.28008
Denker, Manfred; Keane, Michael
1979
Absolutely continuous invariant measures for expansive rational maps with rationally indifferent periodic points. Zbl 0745.28008
Denker, Manfred; Urbański, Mariusz
1991
Uniformly non-$$\ell^{(1)}_ n$$ Musielak-Orlicz sequence spaces. Zbl 0789.46008
Denker, Manfred; Hudzik, Henryk
1991
A Poisson limit theorem for toral automorphisms. Zbl 1040.37006
Denker, Manfred; Gordin, Mikhail; Sharova, Anastasya
2004
The Poincaré series of $$\mathbb{C}\backslash \mathbb{Z}$$. Zbl 0920.30036
Aaronson, Jon; Denker, Manfred
1999
Conformal measures for rational functions revisited. Zbl 0915.58041
Denker, M.; Mauldin, R. D.; Nitecki, Z.; Urbánski, M.
1998
Some contributions to Chernoff-Savage theorems. Zbl 0568.62017
Denker, Manfred; Rösler, Uwe
1985
Invariance principles for von Mises and U-statistics. Zbl 0552.60030
Dehling, Herold; Denker, Manfred; Philipp, Walter
1984
Gibbs measures for fibred systems. Zbl 0963.37005
Denker, Manfred; Gordin, Mikhail
1999
Central limit theorems for mixing sequences of random variables under minimal conditions. Zbl 0605.60027
Dehling, Herold; Denker, Manfred; Philipp, Walter
1986
A bounded law of the iterated logarithm for Hilbert space valued martingales and its application to U-statistics. Zbl 0572.60012
Dehling, Herold; Denker, Manfred; Philipp, Walter
1986
A note on invariance principles for v. Mises’ statistics. Zbl 0609.62029
Denker, M.; Grillenberger, C.; Keller, G.
1985
Geometric measures for parabolic rational maps. Zbl 0737.58030
Denker, M.; Urbański, M.
1992
Ergodic flows are strictly ergodic. Zbl 0283.28012
Denker, Manfred; Eberlein, Ernst
1974
Finite generators of ergodic, measure-preserving transformations. Zbl 0278.28006
Denker, Manfred
1974
An Erdős-Rényi law for mixing processes. Zbl 1125.60023
Denker, Manfred; Kabluchko, Zakhar
2007
A local limit theorem for stationary processes in the domain of attraction of a normal distribution. Zbl 1017.60025
Aaronson, Jon; Denker, Manfred
2001
Remarks on weak limit laws for fractal sets. Zbl 0849.60016
Denker, Manfred
1995
Upper bounds for ergodic sums of infinite measure preserving transformations. Zbl 0705.28007
Aaronson, Jon; Denker, Manfred
1990
On specification and measure expansiveness. Zbl 1375.37028
Cordeiro, Welington; Denker, Manfred; Zhang, Xuan
2017
Thermodynamic formalism for random countable Markov shifts. Zbl 1170.37018
Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel
2008
Reflections on harmonic analysis of the Sierpiński gasket. Zbl 1020.60066
Denker, Manfred; Sato, Hiroshi
2002
Uniform integrability and the central limit theorem for strongly mixing processes. Zbl 0612.60028
Denker, Manfred
1986
Resampling $$U$$-statistics using $$p$$-stable laws. Zbl 0770.60039
Dehling, Herold; Denker, Manfred; Woyczynski, Wojbor A.
1990
The central limit theorem for dynamical systems. Zbl 0695.60026
Denker, Manfred
1989
Erdős-Rényi laws for dynamical systems. Zbl 1281.60028
Denker, Manfred; Nicol, Matthew
2013
The capacity of parabolic Julia sets. Zbl 0763.30009
Denker, M.; Urbański, M.
1992
Second order ergodic theorems for ergodic transformations of infinite measure spaces. Zbl 0738.28011
Aaronson, Jon; Denker, Manfred; Fisher, Albert M.
1992
Hausdorff measures on Julia sets of subexpanding rational maps. Zbl 0763.30008
Denker, M.; Urbański, M.
1991
On strict ergodicity. Zbl 0275.28018
Denker, Manfred
1973
Limit theorems for von Mises statistics of a measure preserving transformation. Zbl 1306.60007
Denker, Manfred; Gordin, Mikhail
2014
On the relative variational principle for fibre expanding maps. Zbl 1023.37017
Denker, Manfred; Gordin, Mikhail; Heinemann, Stefan-M.
2002
Versik processes and very weak Bernoulli processes with summable rates are independent. Zbl 0601.60001
Dehling, Herold; Denker, Manfred; Philipp, Walter
1984
Dirichlet forms on quotients of shift spaces. Zbl 1118.28004
Denker, Manfred; Imai, Atsushi; Koch, Susanne
2007
Introduction to analysis of dynamical systems. Zbl 1057.37001
Denker, Manfred
2005
Group extensions of Gibbs-Markov maps. Zbl 1028.37003
Aaronson, Jon; Denker, Manfred
2002
Large deviations and the pressure function. Zbl 0769.60025
Denker, Manfred
1992
The dichotomy of Hausdorff measures and equilibrium states for parabolic rational maps. Zbl 0769.58047
Denker, Manfred; Urbański, Mariusz
1992
Lower bounds for partial sums of certain positive stationary processes. Zbl 0698.60023
Aaronson, Jon; Denker, Manfred
1989
Thermodynamic formalism, large deviation, and multifractals. Zbl 0988.37033
Denker, Manfred; Kesseböhmer, Marc
2001
A note on the construction of nonsingular Gibbs measures. Zbl 0960.37003
Denker, Manfred; Yuri, Michiko
2000
Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Zbl 0962.60045
Bhattacharya, Rabi; Denker, Manfred; Goswami, Alok
1999
Nonparametric tests for scale and location. Zbl 0913.62043
Compagnone, Daniele; Denker, Manfred
1996
A moment estimate for rank statistics. Zbl 0591.62033
Denker, Manfred; Rösler, Uwe
1985
Spectral properties of the Ruelle operator for product-type potentials on shift spaces. Zbl 1439.37025
Cioletti, L.; Denker, M.; Lopes, A. O.; Stadlbauer, M.
2017
Almost sure local limit theorems. Zbl 1076.60023
Denker, Manfred; Koch, Susanne
2002
On exact group extensions. Zbl 1115.37301
Aaronson, Jon; Denker, Manfred
2000
Introductory statistics and random phenomena. Uncertainty, complexity and chaotic behavior in engineering and science. With Mathematica uncertain virtual worlds by Bernard Ycart. Zbl 0912.62001
Denker, Manfred; Woyczyński, Wojbor A.
1998
Probability theory for rational maps. Zbl 0882.60006
Denker, Manfred
1996
Asymptotic normality of two sample linear rank statistics under U- statistic structure. Zbl 0796.62042
1992
A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics. Zbl 0587.62042
Denker, Manfred; Puri, Madan L.; Rösler, Uwe
1985
A note on the asymptotic normality of rank statistics. Zbl 0575.62017
Denker, M.; Rösler, U.
1984
Statistical decision procedures and ergodic theory. Zbl 0516.62046
Denker, Manfred
1982
On unitary operators inducing measure-preserving transformations. Zbl 0376.28013
Denker, Manfred
1978
Poisson limit for two-dimensional toral automorphism driven by continued fractions. Zbl 1335.37009
Gordin, M.; Denker, M.
2014
Remarks on Gibbs measures for fibred systems. Zbl 0963.37006
Denker, Manfred; Gordin, Mikhail
1998
The central limit theorem for random perturbations of rotations. Zbl 0935.60012
Denker, Manfred; Gordin, Mikhail
1998
Finite state bilaterally deterministic strongly mixing processes. Zbl 0874.60032
Burton, Robert M.; Denker, Manfred; Smorodinsky, Meir
1996
Conformal measures and $$S$$-unimodal maps. Zbl 0856.58023
Denker, Manfred; Nitecki, Zbigniew; Urbański, Mariusz
1995
On the FLIL for certain $$\psi$$-mixing processes and infinite measure preserving transformations. Zbl 0734.60033
Aaronson, Jon; Denker, Manfred
1991
Some new examples of Gibbs measures. Zbl 0713.28012
Denker, Manfred
1990
Uniformly $$non$$-$$\ell _ n^{(1)}$$ Musielak-Orlicz sequence spaces. Zbl 0643.46005
Denker, Manfred; Hudzik, Henryk
1988
Une demonstration nouvelle du théorème de Goodwyn. Zbl 0239.28015
Denker, Manfred
1972
On the local times of stationary processes with conditional local limit theorems. Zbl 1396.60088
Denker, Manfred; Zheng, Xiaofei
2018
Lindeberg theorem for Gibbs-Markov dynamics. Zbl 1381.37010
Denker, Manfred; Senti, Samuel; Zhang, Xuan
2017
Logarithmic quantile estimation for rank statistics. Zbl 1423.62028
Denker, Manfred; Tabacu, Lucia
2015
A note on specification for iterated function systems. Zbl 1336.28013
Cordeiro, Welington; Denker, Manfred; Yuri, Michiko
2015
Conformal families of measures for general iterated function systems. Zbl 1344.37040
Denker, Manfred; Yuri, Michiko
2015
Corrigendum to: “Thermodynamic formalism for random countable Markov shifts”. Zbl 1303.37013
Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel
2015
Testing longitudinal data by logarithmic quantiles. Zbl 1309.62080
Denker, Manfred; Tabacu, Lucia
2014
Ergodicity of avalanche transformations. Zbl 1351.37040
Denker, Manfred; Rodrigues, Ana
2014
Richter’s local limit theorem and Black-Scholes type formulas. Zbl 1298.91162
Denker, Manfred; Fares, Souha
2014
Tercentennial anniversary of Bernoulli’s law of large numbers. Zbl 1356.60007
Denker, Manfred
2013
The almost sure version of Cramer’s theorem. Zbl 1214.60008
Denker, Manfred; Fridline, Mark M.
2010
Pseudorandom numbers for conformal measures. Zbl 1204.37006
Denker, Manfred; Duan, Jinqiao; McCourt, Michael
2009
Conservativity of random Markov fibred systems. Zbl 1171.37303
Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel
2008
Markov partitions for fibre expanding systems. Zbl 1142.37004
Denker, Manfred; Holzmann, Hajo
2008
On Sevast’yanov’s theorem. Zbl 1110.60013
Denker, M.; Kan, N.
2007
On the local times of stationary processes with conditional local limit theorems. Zbl 1396.60088
Denker, Manfred; Zheng, Xiaofei
2018
On specification and measure expansiveness. Zbl 1375.37028
Cordeiro, Welington; Denker, Manfred; Zhang, Xuan
2017
Spectral properties of the Ruelle operator for product-type potentials on shift spaces. Zbl 1439.37025
Cioletti, L.; Denker, M.; Lopes, A. O.; Stadlbauer, M.
2017
Lindeberg theorem for Gibbs-Markov dynamics. Zbl 1381.37010
Denker, Manfred; Senti, Samuel; Zhang, Xuan
2017
Logarithmic quantile estimation for rank statistics. Zbl 1423.62028
Denker, Manfred; Tabacu, Lucia
2015
A note on specification for iterated function systems. Zbl 1336.28013
Cordeiro, Welington; Denker, Manfred; Yuri, Michiko
2015
Conformal families of measures for general iterated function systems. Zbl 1344.37040
Denker, Manfred; Yuri, Michiko
2015
Corrigendum to: “Thermodynamic formalism for random countable Markov shifts”. Zbl 1303.37013
Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel
2015
Limit theorems for von Mises statistics of a measure preserving transformation. Zbl 1306.60007
Denker, Manfred; Gordin, Mikhail
2014
Poisson limit for two-dimensional toral automorphism driven by continued fractions. Zbl 1335.37009
Gordin, M.; Denker, M.
2014
Testing longitudinal data by logarithmic quantiles. Zbl 1309.62080
Denker, Manfred; Tabacu, Lucia
2014
Ergodicity of avalanche transformations. Zbl 1351.37040
Denker, Manfred; Rodrigues, Ana
2014
Richter’s local limit theorem and Black-Scholes type formulas. Zbl 1298.91162
Denker, Manfred; Fares, Souha
2014
Erdős-Rényi laws for dynamical systems. Zbl 1281.60028
Denker, Manfred; Nicol, Matthew
2013
Tercentennial anniversary of Bernoulli’s law of large numbers. Zbl 1356.60007
Denker, Manfred
2013
The almost sure version of Cramer’s theorem. Zbl 1214.60008
Denker, Manfred; Fridline, Mark M.
2010
Pseudorandom numbers for conformal measures. Zbl 1204.37006
Denker, Manfred; Duan, Jinqiao; McCourt, Michael
2009
Thermodynamic formalism for random countable Markov shifts. Zbl 1170.37018
Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel
2008
Conservativity of random Markov fibred systems. Zbl 1171.37303
Denker, Manfred; Kifer, Yuri; Stadlbauer, Manuel
2008
Markov partitions for fibre expanding systems. Zbl 1142.37004
Denker, Manfred; Holzmann, Hajo
2008
An Erdős-Rényi law for mixing processes. Zbl 1125.60023
Denker, Manfred; Kabluchko, Zakhar
2007
Dirichlet forms on quotients of shift spaces. Zbl 1118.28004
Denker, Manfred; Imai, Atsushi; Koch, Susanne
2007
On Sevast’yanov’s theorem. Zbl 1110.60013
Denker, M.; Kan, N.
2007
Introduction to analysis of dynamical systems. Zbl 1057.37001
Denker, Manfred
2005
Aperiodicity of cocycles and conditional local limit theorems. Zbl 1077.37010
Aaronson, J.; Denker, M.; Sarig, O.; Zweimüller, R.
2004
A Poisson limit theorem for toral automorphisms. Zbl 1040.37006
Denker, Manfred; Gordin, Mikhail; Sharova, Anastasya
2004
Reflections on harmonic analysis of the Sierpiński gasket. Zbl 1020.60066
Denker, Manfred; Sato, Hiroshi
2002
On the relative variational principle for fibre expanding maps. Zbl 1023.37017
Denker, Manfred; Gordin, Mikhail; Heinemann, Stefan-M.
2002
Group extensions of Gibbs-Markov maps. Zbl 1028.37003
Aaronson, Jon; Denker, Manfred
2002
Almost sure local limit theorems. Zbl 1076.60023
Denker, Manfred; Koch, Susanne
2002
Local limit theorems for partial sums of stationary sequences generated by Gibbs-Markov maps. Zbl 1039.37002
Aaronson, Jon; Denker, Manfred
2001
Sierpiński gasket as a Martin boundary. I: Martin kernels. Zbl 0980.60094
Denker, Manfred; Sato, Hiroshi
2001
A local limit theorem for stationary processes in the domain of attraction of a normal distribution. Zbl 1017.60025
Aaronson, Jon; Denker, Manfred
2001
Thermodynamic formalism, large deviation, and multifractals. Zbl 0988.37033
Denker, Manfred; Kesseböhmer, Marc
2001
A note on the construction of nonsingular Gibbs measures. Zbl 0960.37003
Denker, Manfred; Yuri, Michiko
2000
On exact group extensions. Zbl 1115.37301
Aaronson, Jon; Denker, Manfred
2000
Sierpiński gasket as a Martin boundary. II: The intrinsic metric. Zbl 0980.60095
Denker, Manfred; Sato, Hiroshi
1999
The Poincaré series of $$\mathbb{C}\backslash \mathbb{Z}$$. Zbl 0920.30036
Aaronson, Jon; Denker, Manfred
1999
Gibbs measures for fibred systems. Zbl 0963.37005
Denker, Manfred; Gordin, Mikhail
1999
Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Zbl 0962.60045
Bhattacharya, Rabi; Denker, Manfred; Goswami, Alok
1999
On Hausdorff measures and SBR measures for parabolic rational maps. Zbl 1089.37525
Denker, M.; Rohde, S.
1999
Characteristic functions of random variables attracted to 1-stable laws. Zbl 0937.60005
Aaronson, Jon; Denker, Manfred
1998
Conformal measures for rational functions revisited. Zbl 0915.58041
Denker, M.; Mauldin, R. D.; Nitecki, Z.; Urbánski, M.
1998
Introductory statistics and random phenomena. Uncertainty, complexity and chaotic behavior in engineering and science. With Mathematica uncertain virtual worlds by Bernard Ycart. Zbl 0912.62001
Denker, Manfred; Woyczyński, Wojbor A.
1998
Remarks on Gibbs measures for fibred systems. Zbl 0963.37006
Denker, Manfred; Gordin, Mikhail
1998
The central limit theorem for random perturbations of rotations. Zbl 0935.60012
Denker, Manfred; Gordin, Mikhail
1998
Distributional limits for hyperbolic infinite volume geodesic flows. Zbl 0930.37009
Aaronson, J.; Denker, M.
1997
On the transfer operator for rational functions on the Riemann sphere. Zbl 0852.46024
Denker, Manfred; Przytycki, Feliks; Urbański, Mariusz
1996
Nonparametric tests for scale and location. Zbl 0913.62043
Compagnone, Daniele; Denker, Manfred
1996
Probability theory for rational maps. Zbl 0882.60006
Denker, Manfred
1996
Finite state bilaterally deterministic strongly mixing processes. Zbl 0874.60032
Burton, Robert M.; Denker, Manfred; Smorodinsky, Meir
1996
Remarks on weak limit laws for fractal sets. Zbl 0849.60016
Denker, Manfred
1995
Conformal measures and $$S$$-unimodal maps. Zbl 0856.58023
Denker, Manfred; Nitecki, Zbigniew; Urbański, Mariusz
1995
Rank statistics under dependent observations and applications to factorial designs. Zbl 0816.62035
Brunner, Edgar; Denker, Manfred
1994
On some limit laws for perturbed empirical distribution functions. Zbl 0810.60015
1994
Relating Hausdorff measures and harmonic measures on parabolic Jordan curves. Zbl 0797.30021
Denker, M.; Urbański, M.
1994
Ergodic theory for Markov fibred systems and parabolic rational maps. Zbl 0789.28010
Aaronson, Jon; Denker, Manfred; Urbański, Mariusz
1993
Geometric measures for parabolic rational maps. Zbl 0737.58030
Denker, M.; Urbański, M.
1992
The capacity of parabolic Julia sets. Zbl 0763.30009
Denker, M.; Urbański, M.
1992
Second order ergodic theorems for ergodic transformations of infinite measure spaces. Zbl 0738.28011
Aaronson, Jon; Denker, Manfred; Fisher, Albert M.
1992
Large deviations and the pressure function. Zbl 0769.60025
Denker, Manfred
1992
The dichotomy of Hausdorff measures and equilibrium states for parabolic rational maps. Zbl 0769.58047
Denker, Manfred; Urbański, Mariusz
1992
Asymptotic normality of two sample linear rank statistics under U- statistic structure. Zbl 0796.62042
1992
Upper and lower class results for subsequences of the Champernowne number. Zbl 0761.11032
Denker, M.; Krämer, K. F.
1992
Ergodic theory of equilibrium states for rational maps. Zbl 0718.58035
Denker, M.; Urbański, M.
1991
On the existence of conformal measures. Zbl 0745.58031
Denker, Manfred; Urbański, Mariusz
1991
On Sullivan’s conformal measures for rational maps of the Riemann sphere. Zbl 0722.58028
Denker, M.; Urbański, M.
1991
Hausdorff and conformal measures on Julia sets with a rationally indifferent periodic point. Zbl 0734.28007
Denker, M.; Urbański, M.
1991
Absolutely continuous invariant measures for expansive rational maps with rationally indifferent periodic points. Zbl 0745.28008
Denker, Manfred; Urbański, Mariusz
1991
Uniformly non-$$\ell^{(1)}_ n$$ Musielak-Orlicz sequence spaces. Zbl 0789.46008
Denker, Manfred; Hudzik, Henryk
1991
Hausdorff measures on Julia sets of subexpanding rational maps. Zbl 0763.30008
Denker, M.; Urbański, M.
1991
On the FLIL for certain $$\psi$$-mixing processes and infinite measure preserving transformations. Zbl 0734.60033
Aaronson, Jon; Denker, Manfred
1991
On the uniqueness of equilibrium states for piecewise monotone mappings. Zbl 0715.28014
Denker, Manfred; Keller, Gerhard; Urbański, Mariusz
1990
Asymptotic statistics. Zbl 0706.62049
Bhattacharya, Rabi; Denker, Manfred
1990
Upper bounds for ergodic sums of infinite measure preserving transformations. Zbl 0705.28007
Aaronson, Jon; Denker, Manfred
1990
Resampling $$U$$-statistics using $$p$$-stable laws. Zbl 0770.60039
Dehling, Herold; Denker, Manfred; Woyczynski, Wojbor A.
1990
Some new examples of Gibbs measures. Zbl 0713.28012
Denker, Manfred
1990
Stable limit distributions for strongly mixing sequences. Zbl 0694.60017
1989
The central limit theorem for dynamical systems. Zbl 0695.60026
Denker, Manfred
1989
Lower bounds for partial sums of certain positive stationary processes. Zbl 0698.60023
Aaronson, Jon; Denker, Manfred
1989
Uniformly $$non$$-$$\ell _ n^{(1)}$$ Musielak-Orlicz sequence spaces. Zbl 0643.46005
Denker, Manfred; Hudzik, Henryk
1988
The almost sure invariance principle for the empirical process of U- statistic structure. Zbl 0619.60036
Dehling, Herold; Denker, Manfred; Philipp, Walter
1987
On the central limit theorem for dynamical systems. Zbl 0628.60030
Burton, Robert; Denker, Manfred
1987
Rigorous statistical procedures for data from dynamical systems. Zbl 0646.62109
Denker, Manfred; Keller, Gerhard
1986
Central limit theorems for mixing sequences of random variables under minimal conditions. Zbl 0605.60027
Dehling, Herold; Denker, Manfred; Philipp, Walter
1986
A bounded law of the iterated logarithm for Hilbert space valued martingales and its application to U-statistics. Zbl 0572.60012
Dehling, Herold; Denker, Manfred; Philipp, Walter
1986
Uniform integrability and the central limit theorem for strongly mixing processes. Zbl 0612.60028
Denker, Manfred
1986
Asymptotic distribution theory in nonparametric statistics. Zbl 0619.62019
Denker, Manfred
1985
Some contributions to Chernoff-Savage theorems. Zbl 0568.62017
Denker, Manfred; Rösler, Uwe
1985
A note on invariance principles for v. Mises’ statistics. Zbl 0609.62029
Denker, M.; Grillenberger, C.; Keller, G.
1985
A moment estimate for rank statistics. Zbl 0591.62033
Denker, Manfred; Rösler, Uwe
1985
A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics. Zbl 0587.62042
Denker, Manfred; Puri, Madan L.; Rösler, Uwe
1985
Simulations for invariant measures of dynamical systems. Zbl 0581.58027
Denker, Manfred; Keller, Gerhard
1985
Approximation by Brownian motion for Gibbs measures and flows under a function. Zbl 0554.60077
Denker, Manfred; Philipp, Walter
1984
Invariance principles for von Mises and U-statistics. Zbl 0552.60030
Dehling, Herold; Denker, Manfred; Philipp, Walter
1984
Versik processes and very weak Bernoulli processes with summable rates are independent. Zbl 0601.60001
Dehling, Herold; Denker, Manfred; Philipp, Walter
1984
A note on the asymptotic normality of rank statistics. Zbl 0575.62017
Denker, M.; Rösler, U.
1984
On U-statistics and von Mises’ statistics for weakly dependent processes. Zbl 0519.60028
Denker, Manfred; Keller, Gerhard
1983
Statistical decision procedures and ergodic theory. Zbl 0516.62046
Denker, Manfred
1982
Finitary codes and the law of the iterated logarithm. Zbl 0417.60040
Denker, Manfred; Keane, Michael
1980
...and 12 more Documents
all top 5

#### Cited by 1,116 Authors

 47 Denker, Manfred 32 Urbański, Mariusz 23 Melbourne, Ian 20 Oprocha, Piotr 15 Dehling, Herold G. 15 Terhesiu, Dalia 14 Aaronson, Jon 12 Hofbauer, Franz 12 Przytycki, Feliks 12 Sarig, Omri M. 11 Keller, Gerhard 10 Boyle, Mike 10 Bradley, Richard C. jun. 10 Brunner, Edgar 10 Kesseböhmer, Marc 10 Kifer, Yuri 10 Nicol, Matthew 10 Puri, Madan Lal 10 Todd, Mike 9 Rivera-Letelier, Juan 9 Tian, Xueting 9 Varandas, Paulo 8 Alsedà, Lluís 8 Cui, Yunan 8 Lind, Douglas A. 8 Stratmann, Bernd O. 8 Vaienti, Sandro 8 Weiss, Benjamin 7 Bindele, Huybrechts F. 7 Dolgopyat, Dmitry 7 Fiebig, Doris 7 Gouëzel, Sébastien 7 Hudzik, Henryk 7 Lau, Kasing 7 Stadlbauer, Manuel 7 Wendler, Martin 7 Ye, Xiangdong 7 Zdunik, Anna 7 Zweimüller, Roland 6 Blanchard, François 6 Blokh, Alexander M. 6 Buzzi, Jérôme 6 Climenhaga, Vaughn 6 Gelfert, Katrin Grit 6 Gordin, Mikhail Iosifovich 6 Haydn, Nicolai T. A. 6 Huang, Wen 6 Kwietniak, Dominik 6 Merlevède, Florence 6 Misiurewicz, Michał 6 Peligrad, Magda 6 Thompson, Daniel J. 6 Volný, Dalibor 6 Wolf, Christian 6 Yuri, Michiko 5 Bathke, Arne C. 5 Blanchard, Frédéric 5 Bruin, Henk 5 Burton, Robert M. jun. 5 Cordeiro, Welington 5 Dedecker, Jérôme 5 Downarowicz, Tomasz 5 Freitas, Jorge Milhazes 5 Glasner, Eli 5 Jakubowski, Adam 5 Kakizawa, Yoshihide 5 Li, Huaibin 5 Maass, Alejandro 5 Mayer, Volker 5 Nakada, Hitoshi 5 Pesin, Yakov Borisovich 5 Pollicott, Mark 5 Rams, Michał 5 Sakai, Kazuhiro 5 Saltan, Mustafa 5 Shang, Shaoqiang 5 Sridharan, Shrihari 5 Sumi, Naoya 5 Szewczak, Zbigniew Stanisław 5 Takahasi, Hiroki 5 Thomsen, Klaus E. 5 Wang, Xiangyang 5 Yamamoto, Kenichiro 4 Baake, Michael 4 Carvalho, Bernardo 4 Cuny, Christophe 4 Fiebig, Ulf-Rainer 4 Freitas, Ana Cristina Moreira 4 Gao, Junyang 4 Grillenberger, Christian 4 Harel, Michel 4 Jaerisch, Johannes 4 Jaksztas, Ludwik 4 Keane, Michael S. 4 Korepanov, Alexey 4 Krengel, Ulrich 4 Krieger, Wolfgang 4 Lee, Keonhee 4 Lopes, Artur Oscar 4 Munzel, Ullrich ...and 1,016 more Authors
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#### Cited in 221 Serials

 89 Ergodic Theory and Dynamical Systems 63 Transactions of the American Mathematical Society 49 Israel Journal of Mathematics 38 Communications in Mathematical Physics 37 Journal of Statistical Physics 35 Journal of Statistical Planning and Inference 35 Stochastics and Dynamics 32 Monatshefte für Mathematik 32 Discrete and Continuous Dynamical Systems 30 Stochastic Processes and their Applications 28 Journal of Multivariate Analysis 27 Journal of Mathematical Analysis and Applications 26 Proceedings of the American Mathematical Society 24 Statistics & Probability Letters 22 Probability Theory and Related Fields 21 Advances in Mathematics 19 Inventiones Mathematicae 15 The Annals of Probability 14 Nonlinearity 13 Theoretical Computer Science 12 Mathematische Zeitschrift 12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 11 Journal of Nonparametric Statistics 10 Journal d’Analyse Mathématique 10 Journal of Theoretical Probability 9 Topology and its Applications 9 Physica D 9 Communications in Statistics. Theory and Methods 9 Indagationes Mathematicae. New Series 8 Journal of Functional Analysis 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Chaos, Solitons and Fractals 7 Journal of Differential Equations 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Dynamical Systems 6 Journal of Econometrics 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Bulletin of the American Mathematical Society. New Series 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Computational Statistics and Data Analysis 6 Journal of Difference Equations and Applications 6 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Mathematical Physics 5 Statistics 5 Bernoulli 5 Chaos 5 Acta Mathematica Sinica. English Series 5 Journal of Modern Dynamics 5 Electronic Journal of Statistics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Metrika 4 Annales de l’Institut Fourier 4 Annals of the Institute of Statistical Mathematics 4 Mathematische Annalen 4 The Annals of Applied Probability 4 Journal of Mathematical Sciences (New York) 3 Indian Journal of Pure & Applied Mathematics 3 Reports on Mathematical Physics 3 The Annals of Statistics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Bulletin de la Société Mathématique de France 3 Duke Mathematical Journal 3 Publications Mathématiques 3 Journal of Number Theory 3 Advances in Applied Mathematics 3 Econometric Reviews 3 Journal of the American Mathematical Society 3 Journal of Statistical Computation and Simulation 3 Journal of Dynamics and Differential Equations 3 Statistical Papers 3 Fractals 3 Electronic Journal of Probability 3 Conformal Geometry and Dynamics 3 Journal of Inequalities and Applications 3 Journal of Dynamical Systems and Geometric Theories 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Complex Analysis and Operator Theory 2 Lithuanian Mathematical Journal 2 Rocky Mountain Journal of Mathematics 2 Stochastics 2 Ukrainian Mathematical Journal 2 Biometrical Journal 2 Compositio Mathematica 2 Fundamenta Mathematicae 2 Fuzzy Sets and Systems 2 Journal of Computational and Applied Mathematics 2 Kybernetika 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Acta Applicandae Mathematicae 2 Forum Mathematicum 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Applied Mathematics. Series B (English Edition) 2 Journal de Théorie des Nombres de Bordeaux 2 Mathematical Methods of Statistics 2 Turkish Journal of Mathematics ...and 121 more Serials
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#### Cited in 51 Fields

 651 Dynamical systems and ergodic theory (37-XX) 327 Probability theory and stochastic processes (60-XX) 216 Measure and integration (28-XX) 193 Statistics (62-XX) 121 General topology (54-XX) 45 Number theory (11-XX) 39 Functions of a complex variable (30-XX) 37 Functional analysis (46-XX) 34 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) 16 Information and communication theory, circuits (94-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Manifolds and cell complexes (57-XX) 11 Group theory and generalizations (20-XX) 10 Real functions (26-XX) 9 Combinatorics (05-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Biology and other natural sciences (92-XX) 6 Potential theory (31-XX) 6 Ordinary differential equations (34-XX) 6 Quantum theory (81-XX) 5 History and biography (01-XX) 5 Partial differential equations (35-XX) 4 Mathematical logic and foundations (03-XX) 4 Difference and functional equations (39-XX) 4 Convex and discrete geometry (52-XX) 4 Fluid mechanics (76-XX) 3 Abstract harmonic analysis (43-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 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)

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