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Hofbauer, Franz

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Author ID: hofbauer.franz Recent zbMATH articles by "Hofbauer, Franz"
Published as: Hofbauer, Franz; Hofbauer, F.
External Links: MGP
Documents Indexed: 52 Publications since 1977

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 610 times in 428 Documents Cited by Year
Ergodic properties of invariant measures for piecewise monotonic transformations. Zbl 0485.28016
Hofbauer, Franz; Keller, Gerhard
140
1982
On intrinsic ergodicity of piecewise monotonic transformations with positive entropy. Zbl 0422.28015
Hofbauer, Franz
66
1979
Quadratic maps without asymptotic measure. Zbl 0702.58034
Hofbauer, Franz; Keller, Gerhard
42
1990
On intrinsic ergodicity of piecewise monotonic transformations with positive entropy. II. Zbl 0456.28006
Hofbauer, Franz
37
1981
Examples for the nonuniqueness of the equilibrium state. Zbl 0355.28010
Hofbauer, Franz
34
1977
Topological entropy of the transformation \(x\mapsto ax(1-x)\). Zbl 0433.54009
Hofbauer, Franz
24
1980
Equilibrium states for piecewise monotonic transformations. Zbl 0499.28012
Hofbauer, Franz; Keller, Gerhard
22
1982
Piecewise invertible dynamical systems. Zbl 0578.60069
Hofbauer, Franz
21
1986
The Hausdorff dimension of an ergodic invariant measure for a piecewise monotonic map of the interval. Zbl 0701.28005
Hofbauer, Franz; Raith, Peter
18
1992
The structure of piecewise monotonic transformations. Zbl 0474.28007
Hofbauer, Franz
18
1981
\(\beta\)-shifts have unique maximal measure. Zbl 0384.28009
Hofbauer, Franz
18
1978
Local dimension for piecewise monotonic maps on the interval. Zbl 0842.58019
Hofbauer, Franz
17
1995
Maximal measures for simple piecewise monotonic transformations. Zbl 0415.28018
Hofbauer, Franz
15
1980
Zeta-functions and transfer-operators for piecewise linear transformations. Zbl 0533.28011
Hofbauer, Franz; Keller, Gerhard
14
1984
The maximal measure for linear mod one transformations. Zbl 0431.54025
Hofbauer, Franz
14
1981
\(\beta\)-shifts have unique maximal measure. Zbl 0346.28013
Hofbauer, Franz
13
1978
Periodic points for piecewise monotonic transformations. Zbl 0572.54036
Hofbauer, Franz
10
1985
Generic properties of invariant measures for continuous piecewise monotonic transformations. Zbl 0669.54021
Hofbauer, Franz
10
1988
Some remarks on recent results about \(S\)-unimodal maps. Zbl 0721.58018
Hofbauer, Franz; Keller, Gerhard
10
1990
Topologically transitive subsets of piecewise monotonic maps, which contain no periodic points. Zbl 0676.54049
Hofbauer, F.; Raith, P.
9
1989
Multifractal spectra of Birkhoff averages for a piecewise monotone interval map. Zbl 1192.37056
Hofbauer, Franz
8
2010
Intermingled basins in a two species system. Zbl 1059.37070
Hofbauer, Franz; Hofbauer, Josef; Raith, Peter; Steinberger, Thomas
6
2004
An inequality for the Lyapunov exponent of an ergodic invariant measure of a piecewise monotonic map of the interval. Zbl 0744.58042
Hofbauer, Franz
5
1991
Fractal properties of invariant subsets for piecewise monotonic maps on the interval. Zbl 0827.58036
Hofbauer, Franz; Urbański, Mariusz
5
1994
Monotonic mod one transformations. Zbl 0506.54034
Hofbauer, Franz
4
1984
Kneading invariants and Markov diagrams. Zbl 0512.54022
Hofbauer, Franz
4
1982
Generic properties of invariant measures for simple piecewise monotonic transformations. Zbl 0637.28013
Hofbauer, Franz
4
1987
Multifractal dimensions for invariant subsets of piecewise monotonic interval maps. Zbl 1051.37011
Hofbauer, Franz; Raith, Peter; Steinberger, Thomas
3
2003
Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval. Zbl 0813.28008
Hofbauer, Franz
3
1992
Maximal measures for piecewise monotonically increasing transformations on [0,1]. Zbl 0415.28020
Hofbauer, Franz
3
1979
Hausdorff dimension for some hyperbolic attractors with overlaps and without finite Markov partition. Zbl 1131.37031
Hofbauer, Franz; Raith, Peter; Simon, Károly
3
2007
Density of periodic orbit measures for transformations on the interval with two monotonic pieces. Zbl 0915.58026
Hofbauer, Franz; Raith, Peter
2
1998
The box dimension of completely invariant subsets for expanding piecewise monotonic transformations. Zbl 0845.28004
Hofbauer, Franz
2
1996
A function with countably many ergodic equilibrium states. Zbl 0336.54043
Hofbauer, F.
2
1977
Equilibrium states and Hausdorff measures for interval maps. Zbl 0809.58025
Hofbauer, Franz; Keller, Gerhard
1
1993
The fractal dimension of invariant subsets for piecewise monotonic maps on the interval. Zbl 0847.28005
Hofbauer, F.
1
1995
Quadratic maps with maximal oscillation. Zbl 0873.58028
Hofbauer, Franz; Keller, Gerhard
1
1995
Hausdorff dimension and pressure for piecewise monotonic maps of the interval. Zbl 0725.54031
Hofbauer, Franz
1
1993
Multifractal spectra of Birkhoff averages for a piecewise monotone interval map. Zbl 1192.37056
Hofbauer, Franz
8
2010
Hausdorff dimension for some hyperbolic attractors with overlaps and without finite Markov partition. Zbl 1131.37031
Hofbauer, Franz; Raith, Peter; Simon, Károly
3
2007
Intermingled basins in a two species system. Zbl 1059.37070
Hofbauer, Franz; Hofbauer, Josef; Raith, Peter; Steinberger, Thomas
6
2004
Multifractal dimensions for invariant subsets of piecewise monotonic interval maps. Zbl 1051.37011
Hofbauer, Franz; Raith, Peter; Steinberger, Thomas
3
2003
Density of periodic orbit measures for transformations on the interval with two monotonic pieces. Zbl 0915.58026
Hofbauer, Franz; Raith, Peter
2
1998
The box dimension of completely invariant subsets for expanding piecewise monotonic transformations. Zbl 0845.28004
Hofbauer, Franz
2
1996
Local dimension for piecewise monotonic maps on the interval. Zbl 0842.58019
Hofbauer, Franz
17
1995
The fractal dimension of invariant subsets for piecewise monotonic maps on the interval. Zbl 0847.28005
Hofbauer, F.
1
1995
Quadratic maps with maximal oscillation. Zbl 0873.58028
Hofbauer, Franz; Keller, Gerhard
1
1995
Fractal properties of invariant subsets for piecewise monotonic maps on the interval. Zbl 0827.58036
Hofbauer, Franz; Urbański, Mariusz
5
1994
Equilibrium states and Hausdorff measures for interval maps. Zbl 0809.58025
Hofbauer, Franz; Keller, Gerhard
1
1993
Hausdorff dimension and pressure for piecewise monotonic maps of the interval. Zbl 0725.54031
Hofbauer, Franz
1
1993
The Hausdorff dimension of an ergodic invariant measure for a piecewise monotonic map of the interval. Zbl 0701.28005
Hofbauer, Franz; Raith, Peter
18
1992
Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval. Zbl 0813.28008
Hofbauer, Franz
3
1992
An inequality for the Lyapunov exponent of an ergodic invariant measure of a piecewise monotonic map of the interval. Zbl 0744.58042
Hofbauer, Franz
5
1991
Quadratic maps without asymptotic measure. Zbl 0702.58034
Hofbauer, Franz; Keller, Gerhard
42
1990
Some remarks on recent results about \(S\)-unimodal maps. Zbl 0721.58018
Hofbauer, Franz; Keller, Gerhard
10
1990
Topologically transitive subsets of piecewise monotonic maps, which contain no periodic points. Zbl 0676.54049
Hofbauer, F.; Raith, P.
9
1989
Generic properties of invariant measures for continuous piecewise monotonic transformations. Zbl 0669.54021
Hofbauer, Franz
10
1988
Generic properties of invariant measures for simple piecewise monotonic transformations. Zbl 0637.28013
Hofbauer, Franz
4
1987
Piecewise invertible dynamical systems. Zbl 0578.60069
Hofbauer, Franz
21
1986
Periodic points for piecewise monotonic transformations. Zbl 0572.54036
Hofbauer, Franz
10
1985
Zeta-functions and transfer-operators for piecewise linear transformations. Zbl 0533.28011
Hofbauer, Franz; Keller, Gerhard
14
1984
Monotonic mod one transformations. Zbl 0506.54034
Hofbauer, Franz
4
1984
Ergodic properties of invariant measures for piecewise monotonic transformations. Zbl 0485.28016
Hofbauer, Franz; Keller, Gerhard
140
1982
Equilibrium states for piecewise monotonic transformations. Zbl 0499.28012
Hofbauer, Franz; Keller, Gerhard
22
1982
Kneading invariants and Markov diagrams. Zbl 0512.54022
Hofbauer, Franz
4
1982
On intrinsic ergodicity of piecewise monotonic transformations with positive entropy. II. Zbl 0456.28006
Hofbauer, Franz
37
1981
The structure of piecewise monotonic transformations. Zbl 0474.28007
Hofbauer, Franz
18
1981
The maximal measure for linear mod one transformations. Zbl 0431.54025
Hofbauer, Franz
14
1981
Topological entropy of the transformation \(x\mapsto ax(1-x)\). Zbl 0433.54009
Hofbauer, Franz
24
1980
Maximal measures for simple piecewise monotonic transformations. Zbl 0415.28018
Hofbauer, Franz
15
1980
On intrinsic ergodicity of piecewise monotonic transformations with positive entropy. Zbl 0422.28015
Hofbauer, Franz
66
1979
Maximal measures for piecewise monotonically increasing transformations on [0,1]. Zbl 0415.28020
Hofbauer, Franz
3
1979
\(\beta\)-shifts have unique maximal measure. Zbl 0384.28009
Hofbauer, Franz
18
1978
\(\beta\)-shifts have unique maximal measure. Zbl 0346.28013
Hofbauer, Franz
13
1978
Examples for the nonuniqueness of the equilibrium state. Zbl 0355.28010
Hofbauer, Franz
34
1977
A function with countably many ergodic equilibrium states. Zbl 0336.54043
Hofbauer, F.
2
1977
all top 5

Cited by 400 Authors

23 Bruin, Henk
22 Hofbauer, Franz
20 Keller, Gerhard
12 Buzzi, Jérôme
10 Todd, Mike
9 Iommi, Godofredo
9 Raith, Peter
8 Rams, Michał
7 Boyarsky, Abraham
7 Climenhaga, Vaughn
7 Dedecker, Jérôme
7 Froyland, Gary
7 Rivera-Letelier, Juan
7 Urbański, Mariusz
6 Denker, Manfred
6 Góra, Paweł
6 Melbourne, Ian
6 Misiurewicz, Michał
6 Prieur, Clémentine
6 Thompson, Daniel J.
5 Alvin, Lori
5 Bertrand-Mathis, Anne
5 Vaienti, Sandro
4 Alves, José Ferreira
4 Araújo, Vítor
4 Baladi, Viviane
4 Blokh, Alexander M.
4 Collet, Pierre
4 Dobbs, Neil B.
4 Jordan, Thomas M.
4 Kalle, Charlene
4 Li, Bing
4 Merlevède, Florence
4 Nicol, Matthew
4 Persson, Tomas
4 Pesin, Yakov Borisovich
4 Przytycki, Feliks
4 Samuel, Tony
3 Aaronson, Jon
3 Berger, Pierre
3 Borel, Jean-Pierre
3 Byers, William
3 Chung, Yong Moo
3 Cortez, Maria Isabel
3 Dehling, Herold G.
3 Gelfert, Katrin Grit
3 González-Tokman, Cecilia
3 Kesseböhmer, Marc
3 Ledrappier, François
3 Li, Huaibin
3 Liao, Lingmin
3 Luzzatto, Stefano
3 Lyubich, Mikhail Yur’evich
3 Nowicki, Tomasz
3 Oliveira, Krerley
3 Pollicott, Mark
3 Rodrigues, Ana
3 Sarig, Omri M.
3 Steiner, Wolfgang
3 Takahasi, Hiroki
3 van Strien, Sebastian J.
3 Viana, Marcelo
3 Vince, Andrew
3 Wendler, Martin
3 Wu, Jun
3 Young, Lai-Sang
2 Alsedà, Lluís
2 Anušić, Ana
2 Bandtlow, Oscar F.
2 Barge, Marcy M.
2 Barnsley, Michael Fielding
2 Barros, Vanessa
2 Blank, M. L.
2 Boyle, Mike
2 Burguet, David
2 Burton, Robert M. jun.
2 Carminati, Carlo
2 Chakvetadze, Georgi S.
2 Činč, Jernej
2 Cioletti, Leandro Martins
2 Coelho, Zaqueu
2 Cuny, Christophe
2 Das, Tushar Kanti
2 Demers, Mark F.
2 Ding, Changming
2 Ershov, Sergey V.
2 Fan, Ai Hua
2 Fang, Lulu
2 Fisher, Todd L.
2 Fishman, Lior
2 Galatolo, Stefano
2 Galves, Antonio
2 Gardini, Laura
2 Gouëzel, Sébastien
2 Guillotin-Plantard, Nadine
2 Ishitani, Hiroshi
2 Jager, Lisette
2 Jenkinson, Oliver
2 Kiriki, Shin
2 Korepanov, Alexey
...and 300 more Authors
all top 5

Cited in 105 Serials

56 Ergodic Theory and Dynamical Systems
29 Communications in Mathematical Physics
26 Israel Journal of Mathematics
24 Transactions of the American Mathematical Society
18 Journal of Statistical Physics
13 Monatshefte für Mathematik
12 Nonlinearity
12 Advances in Mathematics
12 Stochastics and Dynamics
9 Probability Theory and Related Fields
9 Journal of Difference Equations and Applications
8 Journal of Mathematical Analysis and Applications
7 Mathematische Zeitschrift
7 Proceedings of the American Mathematical Society
7 Discrete and Continuous Dynamical Systems
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Chaos, Solitons and Fractals
5 Annales de l’Institut Fourier
5 Fundamenta Mathematicae
5 Stochastic Processes and their Applications
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Dynamical Systems
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Inventiones Mathematicae
4 Theoretical Computer Science
4 Annales Henri Poincaré
3 Journal d’Analyse Mathématique
3 Mathematical Notes
3 The Annals of Probability
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Functional Analysis and its Applications
3 Tokyo Journal of Mathematics
3 Journal of the American Mathematical Society
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Journal of Dynamics and Differential Equations
3 Indagationes Mathematicae. New Series
3 Fractals
3 Chaos
3 Journal of the European Mathematical Society (JEMS)
3 Qualitative Theory of Dynamical Systems
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Bulletin de la Société Mathématique de France
2 Mathematics and Computers in Simulation
2 Mathematische Nachrichten
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Topology and its Applications
2 Annals of Operations Research
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Journal de Théorie des Nombres de Bordeaux
2 Discrete and Continuous Dynamical Systems. Series B
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Discrete and Continuous Dynamical Systems. Series S
2 Dynamic Games and Applications
2 Nonlinear Analysis. Theory, Methods & Applications
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Physica A
1 Acta Mathematica
1 The Annals of Statistics
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Journal of Combinatorial Theory. Series A
1 Journal of Multivariate Analysis
1 Journal of Number Theory
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Tsukuba Journal of Mathematics
1 Stochastic Analysis and Applications
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Theoretical Probability
1 Dynamics and Stability of Systems
1 Aequationes Mathematicae
1 Bulletin of the American Mathematical Society. New Series
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Journal of Nonlinear Science
1 Applied Mathematics. Series B (English Edition)
1 Topology Proceedings
1 Selecta Mathematica. New Series
1 Journal of Nonparametric Statistics
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Theory of Computing Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Geometry & Topology
1 Regular and Chaotic Dynamics
1 Acta Mathematica Sinica. English Series
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Dynamical and Control Systems
1 Lobachevskii Journal of Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Proceedings of the Steklov Institute of Mathematics
...and 5 more Serials

Citations by Year