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Stratmann, Bernd O.

Author ID: stratmann.bernd-o Recent zbMATH articles by "Stratmann, Bernd O."
Published as: Stratmann, Bernd O.; Stratmann, Bernd; Stratmann, B. O.; Stratmann, B.; Stratmann, Bernd Otto
Homepage: http://www.math.uni-bremen.de/bos/index2.html
Documents Indexed: 51 Publications since 1992, including 2 Books and 1 Additional arXiv Preprint
2 Contributions as Editor
Reviewing Activity: 103 Reviews
Biographic References: 1 Publication
Co-Authors: 21 Co-Authors with 42 Joint Publications
428 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 389 times in 248 Documents Cited by Year
A multifractal analysis for Stern-Brocot intervals, continued fractions and Diophantine growth rates. Zbl 1117.37003
Kesseböhmer, Marc; Stratmann, Bernd O.
37
2007
The Patterson measure for geometrically finite groups with parabolic elements, new and old. Zbl 0821.58026
Stratmann, B.; Velani, S. L.
35
1995
Fractal analysis for sets of non-differentiability of Minkowski’s question mark function. Zbl 1154.28001
Kesseböhmer, Marc; Stratmann, Bernd O.
29
2008
Strong renewal theorems and Lyapunov spectra for \(\alpha \)-Farey and \(\alpha \)-Lüroth systems. Zbl 1263.37013
Kesseböhmer, Marc; Munday, Sara; Stratmann, Bernd O.
26
2012
Infinite ergodic theory of numbers. Zbl 1362.37003
Kesseböhmer, Marc; Munday, Sara; Stratmann, Bernd Otto
16
2016
Diophantine extremality of the Patterson measure. Zbl 1090.11050
Stratmann, Bernd O.; Urbański, Mariusz
15
2006
The box-counting dimension for geometrically finite Kleinian groups. Zbl 0847.20046
Stratmann, B.; Urbański, M.
15
1996
A multifractal formalism for growth rates and applications to geometrically finite Kleinian groups. Zbl 1115.37024
Kesseböhmer, Marc; Stratmann, Bernd O.
15
2004
Remarks on Hausdorff dimensions for transient limits sets of Kleinian groups. Zbl 1069.30070
Falk, Kurt; Stratmann, Bernd O.
14
2004
Pseudo-Markov systems and infinitely generated Schottky groups. Zbl 1121.37014
Stratmann, Bernd O.; Urbański, Mariusz
11
2007
Jarník and Julia; a diophantine analysis for parabolic rational maps for geometrically finite Kleinian groups with parabolic elements. Zbl 1019.37028
Stratmann, B. O.; Urbański, M.
11
2002
Fractal dimensions for Jarník limit sets of geometrically finite Kleinian groups; the semi-classical approach. Zbl 0851.30027
Stratmann, Bernd
10
1995
Real analyticity of topological pressure for parabolically semihyperbolic generalized polynomial-like maps. Zbl 1042.37034
Stratmann, Bernd O.; Urbanski, Mariusz
10
2003
The exponent of convergence of Kleinian groups; on a theorem of Bishop and Jones. Zbl 1095.20024
Stratmann, Bernd O.
10
2004
Sets of nondifferentiability for conjugacies between expanding interval maps. Zbl 1187.37035
Jordan, Thomas; Kesseböhmer, Marc; Pollicott, Mark; Stratmann, Bernd O.
10
2009
Upper estimates for stable dimensions on fractal sets with variable numbers of foldings. Zbl 1312.37031
Mihailescu, Eugen; Stratmann, Bernd
10
2014
The Hausdorff dimension of bounded geodesics on geometrically finite manifolds. Zbl 0869.53029
Stratmann, B.
9
1997
Stern-Brocot pressure and multifractal spectra in ergodic theory of numbers. Zbl 1077.37009
Kesseböhmer, Marc; Stratmann, Bernd O.
9
2004
Hölder-differentiability of Gibbs distribution functions. Zbl 1184.37040
Kesseböhmer, Marc; Stratmann, Bernd O.
8
2009
Homology at infinity; fractal geometry of limiting symbols for modular subgroups. Zbl 1160.37014
Kesseböhmer, M.; Stratmann, B. O.
8
2007
The geometry of conformal measures for parabolic rational maps. Zbl 0974.37029
Stratmann, B. O.; Urbański, M.
7
2000
A Fréchet law and an Erdős-Philipp law for maximal cuspidal windings. Zbl 1326.37034
Jaerisch, Johannes; Kesseböhmer, Marc; Stratmann, Bernd O.
6
2013
Diophantine approximation in Kleinian groups. Zbl 0809.30036
Stratmann, Bernd
6
1994
Lyapunov spectra for KMS states on Cuntz-Krieger algebras. Zbl 1127.37010
Kesseböhmer, Marc; Stadlbauer, Manuel; Stratmann, Bernd O.
6
2007
Weak singularity spectra of the Patterson measure for geometrically finite Kleinian groups with parabolic elements. Zbl 0961.30033
Stratmann, Bernd O.
5
1999
Fractal geometry on hyperbolic manifolds. Zbl 1104.37020
Stratmann, Bernd O.
5
2006
A note on counting cuspidal excursions. Zbl 0849.58052
Stratmann, Bernd
5
1995
Fractal dimensions for dissipative sets. Zbl 0909.28005
Stratmann, B.; Vogt, R.
5
1997
On the asymptotics of the \(\alpha\)-Farey transfer operator. Zbl 1346.37008
Kautzsch, J.; Kesseböhmer, M.; Samuel, T.; Stratmann, B. O.
5
2015
Checking atomicity of conformal ending measures for Kleinian groups. Zbl 1218.30121
Falk, Kurt; Matsuzaki, Katsuhiko; Stratmann, Bernd O.
4
2010
Infinite ergodic theory for Kleinian groups. Zbl 1115.37004
Stadlbauer, Manuel; Stratmann, Bernd O.
4
2005
On the asymptotic behaviour of the Lebesgue measure of sum-level sets for continued fractions. Zbl 1251.37013
Kessböhmer, Marc; Stratmann, Bernd O.
3
2012
Kleinian groups with singly cusped parabolic fixed points. Zbl 1005.30030
Parker, John R.; Stratmann, Bernd O.
3
2001
A dichotomy between uniform distributions of the Stern-Brocot and the Farey series. Zbl 1324.11047
Kesseböhmer, Marc; Stratmann, Bernd O.
3
2012
The Patterson measure: classics, variations and applications. Zbl 1282.37001
Denker, Manfred; Stratmann, Bernd O.
2
2012
Multifractal analysis for parabolically semihyperbolic generalized polynomial-like maps. Zbl 1201.37076
Stratmann, Bernd O.; Urbański, Mariusz
2
2003
A remark on Myrberg initial data for Kleinian groups. Zbl 0883.58028
Stratmann, Bernd
2
1997
Hausdorff dimension 2 for Julia sets of quadratic polynomials. Zbl 0991.37031
Heinemann, Stefan-M.; Stratmann, Bernd O.
2
2001
Metrical Diophantine analysis for tame parabolic iterated function systems. Zbl 1065.37021
Stratmann, Bernd O.; Urbański, Mariusz
2
2004
Constructing restricted Patterson measures for geometrically infinite Kleinian groups. Zbl 1104.30030
Falk, Kurt; Stratmann, Bernd O.
1
2006
Refined measurable rigidity and flexibility for conformal iterated function systems. Zbl 1149.37016
Kesseböhmer, Marc; Stratmann, Bernd O.
1
2008
Geometric exponents for hyperbolic Julia sets. Zbl 1055.37056
Heinemann, Stefan-M.; Stratmann, Bernd O.
1
2001
The Bishop-Jones relation and Hausdorff geometry of convex-cobounded limit sets in infinite-dimensional hyperbolic space. Zbl 1345.37048
Das, Tushar; Stratmann, Bernd O.; Urbański, Mariusz
1
2016
Infinite ergodic theory of numbers. Zbl 1362.37003
Kesseböhmer, Marc; Munday, Sara; Stratmann, Bernd Otto
16
2016
The Bishop-Jones relation and Hausdorff geometry of convex-cobounded limit sets in infinite-dimensional hyperbolic space. Zbl 1345.37048
Das, Tushar; Stratmann, Bernd O.; Urbański, Mariusz
1
2016
On the asymptotics of the \(\alpha\)-Farey transfer operator. Zbl 1346.37008
Kautzsch, J.; Kesseböhmer, M.; Samuel, T.; Stratmann, B. O.
5
2015
Upper estimates for stable dimensions on fractal sets with variable numbers of foldings. Zbl 1312.37031
Mihailescu, Eugen; Stratmann, Bernd
10
2014
A Fréchet law and an Erdős-Philipp law for maximal cuspidal windings. Zbl 1326.37034
Jaerisch, Johannes; Kesseböhmer, Marc; Stratmann, Bernd O.
6
2013
Strong renewal theorems and Lyapunov spectra for \(\alpha \)-Farey and \(\alpha \)-Lüroth systems. Zbl 1263.37013
Kesseböhmer, Marc; Munday, Sara; Stratmann, Bernd O.
26
2012
On the asymptotic behaviour of the Lebesgue measure of sum-level sets for continued fractions. Zbl 1251.37013
Kessböhmer, Marc; Stratmann, Bernd O.
3
2012
A dichotomy between uniform distributions of the Stern-Brocot and the Farey series. Zbl 1324.11047
Kesseböhmer, Marc; Stratmann, Bernd O.
3
2012
The Patterson measure: classics, variations and applications. Zbl 1282.37001
Denker, Manfred; Stratmann, Bernd O.
2
2012
Checking atomicity of conformal ending measures for Kleinian groups. Zbl 1218.30121
Falk, Kurt; Matsuzaki, Katsuhiko; Stratmann, Bernd O.
4
2010
Sets of nondifferentiability for conjugacies between expanding interval maps. Zbl 1187.37035
Jordan, Thomas; Kesseböhmer, Marc; Pollicott, Mark; Stratmann, Bernd O.
10
2009
Hölder-differentiability of Gibbs distribution functions. Zbl 1184.37040
Kesseböhmer, Marc; Stratmann, Bernd O.
8
2009
Fractal analysis for sets of non-differentiability of Minkowski’s question mark function. Zbl 1154.28001
Kesseböhmer, Marc; Stratmann, Bernd O.
29
2008
Refined measurable rigidity and flexibility for conformal iterated function systems. Zbl 1149.37016
Kesseböhmer, Marc; Stratmann, Bernd O.
1
2008
A multifractal analysis for Stern-Brocot intervals, continued fractions and Diophantine growth rates. Zbl 1117.37003
Kesseböhmer, Marc; Stratmann, Bernd O.
37
2007
Pseudo-Markov systems and infinitely generated Schottky groups. Zbl 1121.37014
Stratmann, Bernd O.; Urbański, Mariusz
11
2007
Homology at infinity; fractal geometry of limiting symbols for modular subgroups. Zbl 1160.37014
Kesseböhmer, M.; Stratmann, B. O.
8
2007
Lyapunov spectra for KMS states on Cuntz-Krieger algebras. Zbl 1127.37010
Kesseböhmer, Marc; Stadlbauer, Manuel; Stratmann, Bernd O.
6
2007
Diophantine extremality of the Patterson measure. Zbl 1090.11050
Stratmann, Bernd O.; Urbański, Mariusz
15
2006
Fractal geometry on hyperbolic manifolds. Zbl 1104.37020
Stratmann, Bernd O.
5
2006
Constructing restricted Patterson measures for geometrically infinite Kleinian groups. Zbl 1104.30030
Falk, Kurt; Stratmann, Bernd O.
1
2006
Infinite ergodic theory for Kleinian groups. Zbl 1115.37004
Stadlbauer, Manuel; Stratmann, Bernd O.
4
2005
A multifractal formalism for growth rates and applications to geometrically finite Kleinian groups. Zbl 1115.37024
Kesseböhmer, Marc; Stratmann, Bernd O.
15
2004
Remarks on Hausdorff dimensions for transient limits sets of Kleinian groups. Zbl 1069.30070
Falk, Kurt; Stratmann, Bernd O.
14
2004
The exponent of convergence of Kleinian groups; on a theorem of Bishop and Jones. Zbl 1095.20024
Stratmann, Bernd O.
10
2004
Stern-Brocot pressure and multifractal spectra in ergodic theory of numbers. Zbl 1077.37009
Kesseböhmer, Marc; Stratmann, Bernd O.
9
2004
Metrical Diophantine analysis for tame parabolic iterated function systems. Zbl 1065.37021
Stratmann, Bernd O.; Urbański, Mariusz
2
2004
Real analyticity of topological pressure for parabolically semihyperbolic generalized polynomial-like maps. Zbl 1042.37034
Stratmann, Bernd O.; Urbanski, Mariusz
10
2003
Multifractal analysis for parabolically semihyperbolic generalized polynomial-like maps. Zbl 1201.37076
Stratmann, Bernd O.; Urbański, Mariusz
2
2003
Jarník and Julia; a diophantine analysis for parabolic rational maps for geometrically finite Kleinian groups with parabolic elements. Zbl 1019.37028
Stratmann, B. O.; Urbański, M.
11
2002
Kleinian groups with singly cusped parabolic fixed points. Zbl 1005.30030
Parker, John R.; Stratmann, Bernd O.
3
2001
Hausdorff dimension 2 for Julia sets of quadratic polynomials. Zbl 0991.37031
Heinemann, Stefan-M.; Stratmann, Bernd O.
2
2001
Geometric exponents for hyperbolic Julia sets. Zbl 1055.37056
Heinemann, Stefan-M.; Stratmann, Bernd O.
1
2001
The geometry of conformal measures for parabolic rational maps. Zbl 0974.37029
Stratmann, B. O.; Urbański, M.
7
2000
Weak singularity spectra of the Patterson measure for geometrically finite Kleinian groups with parabolic elements. Zbl 0961.30033
Stratmann, Bernd O.
5
1999
The Hausdorff dimension of bounded geodesics on geometrically finite manifolds. Zbl 0869.53029
Stratmann, B.
9
1997
Fractal dimensions for dissipative sets. Zbl 0909.28005
Stratmann, B.; Vogt, R.
5
1997
A remark on Myrberg initial data for Kleinian groups. Zbl 0883.58028
Stratmann, Bernd
2
1997
The box-counting dimension for geometrically finite Kleinian groups. Zbl 0847.20046
Stratmann, B.; Urbański, M.
15
1996
The Patterson measure for geometrically finite groups with parabolic elements, new and old. Zbl 0821.58026
Stratmann, B.; Velani, S. L.
35
1995
Fractal dimensions for Jarník limit sets of geometrically finite Kleinian groups; the semi-classical approach. Zbl 0851.30027
Stratmann, Bernd
10
1995
A note on counting cuspidal excursions. Zbl 0849.58052
Stratmann, Bernd
5
1995
Diophantine approximation in Kleinian groups. Zbl 0809.30036
Stratmann, Bernd
6
1994
all top 5

Cited by 222 Authors

22 Kesseböhmer, Marc
16 Urbański, Mariusz
15 Jaerisch, Johannes
13 Stratmann, Bernd O.
9 Iommi, Godofredo
9 Simmons, David
8 Fishman, Lior
8 Mihailescu, Eugen
7 Kleinbock, Dmitry Ya.
7 Matsuzaki, Katsuhiko
7 Munday, Sara
6 Falk, Kurt
6 Fraser, Jonathan MacDonald
6 Todd, Mike
6 Wang, Baowei
5 Fang, Lulu
5 Rams, Michał
5 Stadlbauer, Manuel
5 Takahasi, Hiroki
5 Wu, Jun
4 Bruin, Henk
4 Jordan, Thomas M.
4 Merrill, Keith
4 Pollicott, Mark
4 Rivera-Letelier, Juan
4 Schindler, Tanja I.
4 Terhesiu, Dalia
4 Wu, Min
3 Alkauskas, Giedrius
3 Boca, Florin-Petre
3 Bonanno, Claudio
3 Das, Tushar Kanti
3 Fan, Ai Hua
3 Ghosh, Anish
3 Haas, Andrew
3 Hille, Martial R.
3 Lazowski, Andrew
3 Lenci, Marco
3 Li, Bing
3 Liao, Lingmin
3 Lopes, Artur Oscar
3 Ma, Jihua
3 Marcolli, Matilde
3 Nicol, Matthew
3 Pan, Wenyu
3 Samuel, Tony
3 Siskaki, Maria
3 Song, Kunkun
3 Stuart, Liam
3 Sumi, Hiroki
2 Allaart, Pieter C.
2 Barreira, Luis Manuel
2 Bettin, Sandro
2 Bohnstengel, Jana
2 Broderick, Ryan
2 Cao, Chunyun
2 Del Vigna, Alessio
2 Drappeau, Sary
2 Feng, De-Jun
2 Fernández Pérez, José Luis
2 Gayfulin, Dmitry R.
2 Heersink, Byron
2 Kalle, Charlene
2 Li, Jialun
2 Lü, Meiying
2 Mantica, Giorgio
2 Mauldin, Richard Daniel
2 Melbourne, Ian
2 Mukherjee, Sabyasachi
2 Nandi, Debanjan
2 Oh, Hee
2 Okamura, Kazuki
2 Panti, Giovanni
2 Parkkonen, Jouni
2 Paulin, Frédéric
2 Przytycki, Feliks
2 Sahlsten, Tuomas
2 Seuret, Stéphane
2 Shu, Lin
2 Shwartz, Ofer
2 Tamam, Nattalie
2 Vaienti, Sandro
2 Velani, Sanju L.
2 Warren, Jacqueline M.
2 Xuan, Zuxing
2 Zhang, Zhenliang
1 Aimino, Romain
1 Arévalo H., Nicolás
1 Arroyo, Aubin
1 Athreya, Jayadev S.
1 Babillot, Martine
1 Bandi, Prasuna
1 Barral, Julien
1 Bédos, Erik
1 Beresnevich, Victor V.
1 Biś, Andrzej
1 Bishop, Christopher James
1 Bispo, Sara Ruth Pires
1 Blåsten, Emilia L. K.
1 Bonfert-Taylor, Petra
...and 122 more Authors
all top 5

Cited in 98 Serials

18 Ergodic Theory and Dynamical Systems
14 Nonlinearity
11 Monatshefte für Mathematik
10 Advances in Mathematics
8 Geometriae Dedicata
7 Communications in Mathematical Physics
7 Journal of Number Theory
6 Mathematical Proceedings of the Cambridge Philosophical Society
5 Israel Journal of Mathematics
5 Journal of Mathematical Analysis and Applications
5 Journal of Statistical Physics
5 Acta Arithmetica
5 Mathematische Zeitschrift
5 Transactions of the American Mathematical Society
5 Discrete and Continuous Dynamical Systems
5 Conformal Geometry and Dynamics
5 Journal of Fractal Geometry
4 Proceedings of the American Mathematical Society
4 Fractals
4 Stochastics and Dynamics
3 Inventiones Mathematicae
3 Journal of the London Mathematical Society. Second Series
3 Memoirs of the American Mathematical Society
3 The Journal of Geometric Analysis
3 Indagationes Mathematicae. New Series
3 Annales Henri Poincaré
3 Dynamical Systems
3 International Journal of Number Theory
3 Journal of Modern Dynamics
2 Arkiv för Matematik
2 Acta Mathematica
2 Journal of Functional Analysis
2 Proceedings of the London Mathematical Society. Third Series
2 Aequationes Mathematicae
2 Bulletin of the American Mathematical Society. New Series
2 Selecta Mathematica. New Series
2 Geometry & Topology
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Journal of Dynamical Systems and Geometric Theories
1 American Mathematical Monthly
1 Bulletin of the Australian Mathematical Society
1 Inverse Problems
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Lithuanian Mathematical Journal
1 Studia Mathematica
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin de la Société Mathématique de France
1 Commentarii Mathematici Helvetici
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Fundamenta Mathematicae
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Proceedings of the Japan Academy. Series A
1 Quaestiones Mathematicae
1 Real Analysis Exchange
1 Tôhoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Probability Theory and Related Fields
1 Stochastic Processes and their Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 The Journal of Fourier Analysis and Applications
1 Documenta Mathematica
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 The Ramanujan Journal
1 Chaos
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Discrete and Continuous Dynamical Systems. Series B
1 Nonlinear Dynamics and Systems Theory
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Computational Methods and Function Theory
1 Complex Analysis and Operator Theory
1 Groups, Geometry, and Dynamics
1 Uniform Distribution Theory
1 Discrete and Continuous Dynamical Systems. Series S
1 Japanese Journal of Mathematics. 3rd Series
1 Science China. Mathematics
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Journal of Applied Analysis and Computation
1 EMS Surveys in Mathematical Sciences
1 Advances in Operator Theory
1 Annales Fennici Mathematici

Citations by Year