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Schweiger, Fritz

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Author ID: schweiger.fritz Recent zbMATH articles by "Schweiger, Fritz"
Published as: Schweiger, F.; Schweiger, Fritz
External Links: MGP · Wikidata · GND
Documents Indexed: 104 Publications since 1964, including 7 Books
Reviewing Activity: 104 Reviews

Publications by Year

Citations contained in zbMATH Open

65 Publications have been cited 449 times in 300 Documents Cited by Year
Ergodic theory of fibred systems and metric number theory. Zbl 0819.11027
Schweiger, Fritz
96
1995
Multidimensional continued fractions. Zbl 0981.11029
Schweiger, Fritz
79
2000
The metrical theory of Jacobi-Perron algorithm. Zbl 0287.10041
Schweiger, Fritz
39
1973
Numbertheoretical endomorphisms with \(\sigma\)-finite invariant measure. Zbl 0314.10037
Schweiger, F.
16
1975
Polynompermutations on groups. I, II. Zbl 0144.01604
Lausch, Hans; Nöbauer, Wilfried; Schweiger, Fritz
15
1965
Metrische Theorie einer Klasse zahlentheoretischer Transformationen. Zbl 0179.07602
Schweiger, Fritz
13
1968
Invariant measures for maps of continued fraction type. Zbl 0748.11037
Schweiger, Fritz
10
1991
Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients. Zbl 1067.11042
Hartono, Yusuf; Kraaikamp, Cor; Schweiger, Fritz
9
2002
Some remarks on Kuzmin’s theorem for F-expansions. Zbl 0256.10027
Schweiger, F.; Waterman, M.
9
1973
Ergodic properties of triangle partitions. Zbl 1179.37014
Messaoudi, Ali; Nogueira, Arnaldo; Schweiger, Fritz
8
2009
Continued fractions with increasing digits. Zbl 1113.11045
Schweiger, Fritz
8
2003
The generalized Boole’s transformation is ergodic. Zbl 0389.28009
Li, Tien-Yien; Schweiger, Fritz
8
1978
Differentiable equivalence of fractional linear maps. Zbl 1132.11043
Schweiger, Fritz
7
2006
Über den Satz von Borel-Renyi in der Theorie der Cantorschen Reihen. Zbl 0188.35103
Schweiger, Fritz
7
1970
Continued fractions and their generalizations. A short history of \(f\)-expansions. Zbl 1342.11002
Schweiger, Fritz
6
2016
The exponent of convergence for the 2-dimensional Jacobi-Perron algorithm. Zbl 0879.11044
Schweiger, Fritz
6
1996
Invariant measures and ergodic properties of number theoretical endomorphisms. Zbl 0689.10056
Schweiger, F.
6
1989
Ergodische Eigenschaften der Algorithmen von Brun und Selmer. Zbl 0518.10060
Schweiger, Fritz
5
1982
Normalität bezüglich zahlentheoretischer Transformationen. Zbl 0184.07503
Schweiger, F.
5
1969
Characterization of groups by monomials. Zbl 0153.03301
Lausch, Hans; Schweiger, Fritz
5
1967
Invariant measures for piecewise linear fractional maps. Zbl 0514.28012
Schweiger, F.
4
1983
On the Parry-Daniels transformation. Zbl 0486.28017
Schweiger, F.
4
1981
A modified Jacobi-Perron algorithm with explicitly given invariant measure. Zbl 0411.28022
Schweiger, F.
4
1979
Zahlentheoretische Transformationen mit \(\sigma\)-endlichem invarianten Maß. Zbl 0348.28016
Schweiger, Fritz
4
1976
Some remarks on ergodicity and invariant measures. Zbl 0302.28013
Schweiger, Fritz
4
1975
Metrische Sätze über Oppenheimentwicklungen. (Metric theorems on Oppenheim expansions). Zbl 0234.10040
Schweiger, Fritz
4
1972
Geometrische und elementare metrische Sätze über den Jacobischen Algorithmus. Zbl 0135.26701
Schweiger, Fritz
4
1964
Invariant measures of piecewise fractional linear maps and piecewise quadratic maps. Zbl 1410.11109
Schweiger, Fritz
3
2018
Kuzmin’s theorem revisited. Zbl 1016.11028
Schweiger, F.
3
2000
A theorem of Kuzmin - Levy type for continued fractions with odd partial quotients. Zbl 0506.10038
Schweiger, F.
3
1982
\(\tan x\) is ergodic. Zbl 0361.28011
Schweiger, Fritz
3
1978
Über einen Algorithmus von R. Guting. Zbl 0349.10024
Schweiger, F.
3
1977
Ergodische Theorie der Engelschen und Sylvesterschen Reihen. Zbl 0197.34501
Schweiger, Fritz
3
1970
Mixing properties and entropy of the Jacobi algorithm. Zbl 0155.37901
Schweiger, F.
3
1968
Existenz eines invarianten Maßes biem Jacobischen Algorithmus. Zbl 0148.27603
Schweiger, F.
3
1967
Metrische Sätze über den Jacobischen Algorithmus. Zbl 0135.26702
Schweiger, Fritz
3
1965
Invariant measures for Moebius maps with three branches. Zbl 1420.11110
Schweiger, Fritz
2
2018
Brun meets Selmer. Zbl 1283.11105
Schweiger, Fritz
2
2013
What do continued fractions accomplish? Zbl 1171.11302
Schweiger, F.
2
2006
Diophantine properties of multidimensional continued fractions. Zbl 1195.11090
Schweiger, F.
2
2002
Ergodic properties of fibered systems. Zbl 0506.28013
Schweiger, Fritz
2
1981
Volumsapproximation beim Jacobialgorithmus. II. Zbl 0243.10026
Schweiger, F.
2
1973
Ein Kuzminscher Satz über den Jacobischen Algorithmus. Zbl 0165.06404
Schweiger, Fritz
2
1968
Ergodische Théorie des Jacobischen Algorithmus. Zbl 0148.27602
Schweiger, Fritz
2
1966
Invariant simplices for subtractive algorithms. Zbl 1285.11107
Schweiger, Fritz
1
2013
Variations of the Poincaré map. Zbl 1333.11080
Schweiger, Fritz
1
2012
A new proof of Kuzmin’s theorem. Zbl 1265.11083
Schweiger, Fritz
1
2011
Volume as a measure of approximation for the Jacobi-Perron algorithm. Zbl 1197.11079
Schweiger, Fritz
1
2010
A note on Lyapunov theory for Brun algorithm. Zbl 1197.11097
Schweiger, Fritz
1
2008
Periodic multiplicative algorithms of Selmer type. Zbl 1134.11334
Schweiger, Fritz
1
2005
Ergodic and Diophantine properties of algorithms of Selmer type. Zbl 1122.11048
Schweiger, Fritz
1
2004
Invariant measure and exponent of convergence for Baldwin’s algorithm GCFP. Zbl 1037.11055
Schweiger, F.
1
2001
Ergodic properties of multi-dimensional subtractive algorithms. Zbl 0776.11042
Schweiger, F.
1
1992
On the invariant measure for Jacobi-Perron algorithm. Zbl 0736.11038
Schweiger, F.
1
1990
An estimate for the length of a finite Jacobi algorithm. Zbl 0522.10004
Schweiger, F.
1
1980
Approximation properties of Jacobi’s algorithm. Zbl 0317.10041
Schweiger, F.
1
1976
Gedämpfte zahlentheoretische Transformationen. Zbl 0315.10044
Schweiger, Fritz
1
1975
Der Satz von Hurwitz beim Jacobialgorithmus. Zbl 0315.10025
Schweiger, F.
1
1975
Metrische Ergebnisse über den Kotangensalgorithmus. Zbl 0261.10042
Schweiger, Fritz
1
1975
Die Billingsleydimension von Mengen mit vorgeschriebenen Ziffern. II. Zbl 0272.10033
Schweiger, Fritz; Stradner, Wolfgang
1
1973
Die Billingsleydimension von Mengen mit vorgeschriebenen Ziffern. Zbl 0241.10034
Schweiger, Fritz; Stradner, Wolfgang
1
1972
Metrische Theorie kettenbruchähnlicher Ziffernentwicklungen. (Metric theory of digitalexpansion similar to continued fractions). Zbl 0221.10054
Schweiger, F.
1
1971
Induzierte Maße bei zahlentheoretischen Transformationen. Zbl 0206.34201
Schweiger, F.
1
1971
Metrische Theorie einer Klasse zahlentheoretischer Transformationen- (Corrigendum). Zbl 0197.32701
Schweiger, Fritz
1
1969
Metrische Theorie einer Klasse zahlentheoretischer Transformationen. II: Hausdorffdimensionen spezieller Punktmengen. Zbl 0175.33203
Schweiger, Fritz
1
1969
Invariant measures of piecewise fractional linear maps and piecewise quadratic maps. Zbl 1410.11109
Schweiger, Fritz
3
2018
Invariant measures for Moebius maps with three branches. Zbl 1420.11110
Schweiger, Fritz
2
2018
Continued fractions and their generalizations. A short history of \(f\)-expansions. Zbl 1342.11002
Schweiger, Fritz
6
2016
Brun meets Selmer. Zbl 1283.11105
Schweiger, Fritz
2
2013
Invariant simplices for subtractive algorithms. Zbl 1285.11107
Schweiger, Fritz
1
2013
Variations of the Poincaré map. Zbl 1333.11080
Schweiger, Fritz
1
2012
A new proof of Kuzmin’s theorem. Zbl 1265.11083
Schweiger, Fritz
1
2011
Volume as a measure of approximation for the Jacobi-Perron algorithm. Zbl 1197.11079
Schweiger, Fritz
1
2010
Ergodic properties of triangle partitions. Zbl 1179.37014
Messaoudi, Ali; Nogueira, Arnaldo; Schweiger, Fritz
8
2009
A note on Lyapunov theory for Brun algorithm. Zbl 1197.11097
Schweiger, Fritz
1
2008
Differentiable equivalence of fractional linear maps. Zbl 1132.11043
Schweiger, Fritz
7
2006
What do continued fractions accomplish? Zbl 1171.11302
Schweiger, F.
2
2006
Periodic multiplicative algorithms of Selmer type. Zbl 1134.11334
Schweiger, Fritz
1
2005
Ergodic and Diophantine properties of algorithms of Selmer type. Zbl 1122.11048
Schweiger, Fritz
1
2004
Continued fractions with increasing digits. Zbl 1113.11045
Schweiger, Fritz
8
2003
Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients. Zbl 1067.11042
Hartono, Yusuf; Kraaikamp, Cor; Schweiger, Fritz
9
2002
Diophantine properties of multidimensional continued fractions. Zbl 1195.11090
Schweiger, F.
2
2002
Invariant measure and exponent of convergence for Baldwin’s algorithm GCFP. Zbl 1037.11055
Schweiger, F.
1
2001
Multidimensional continued fractions. Zbl 0981.11029
Schweiger, Fritz
79
2000
Kuzmin’s theorem revisited. Zbl 1016.11028
Schweiger, F.
3
2000
The exponent of convergence for the 2-dimensional Jacobi-Perron algorithm. Zbl 0879.11044
Schweiger, Fritz
6
1996
Ergodic theory of fibred systems and metric number theory. Zbl 0819.11027
Schweiger, Fritz
96
1995
Ergodic properties of multi-dimensional subtractive algorithms. Zbl 0776.11042
Schweiger, F.
1
1992
Invariant measures for maps of continued fraction type. Zbl 0748.11037
Schweiger, Fritz
10
1991
On the invariant measure for Jacobi-Perron algorithm. Zbl 0736.11038
Schweiger, F.
1
1990
Invariant measures and ergodic properties of number theoretical endomorphisms. Zbl 0689.10056
Schweiger, F.
6
1989
Invariant measures for piecewise linear fractional maps. Zbl 0514.28012
Schweiger, F.
4
1983
Ergodische Eigenschaften der Algorithmen von Brun und Selmer. Zbl 0518.10060
Schweiger, Fritz
5
1982
A theorem of Kuzmin - Levy type for continued fractions with odd partial quotients. Zbl 0506.10038
Schweiger, F.
3
1982
On the Parry-Daniels transformation. Zbl 0486.28017
Schweiger, F.
4
1981
Ergodic properties of fibered systems. Zbl 0506.28013
Schweiger, Fritz
2
1981
An estimate for the length of a finite Jacobi algorithm. Zbl 0522.10004
Schweiger, F.
1
1980
A modified Jacobi-Perron algorithm with explicitly given invariant measure. Zbl 0411.28022
Schweiger, F.
4
1979
The generalized Boole’s transformation is ergodic. Zbl 0389.28009
Li, Tien-Yien; Schweiger, Fritz
8
1978
\(\tan x\) is ergodic. Zbl 0361.28011
Schweiger, Fritz
3
1978
Über einen Algorithmus von R. Guting. Zbl 0349.10024
Schweiger, F.
3
1977
Zahlentheoretische Transformationen mit \(\sigma\)-endlichem invarianten Maß. Zbl 0348.28016
Schweiger, Fritz
4
1976
Approximation properties of Jacobi’s algorithm. Zbl 0317.10041
Schweiger, F.
1
1976
Numbertheoretical endomorphisms with \(\sigma\)-finite invariant measure. Zbl 0314.10037
Schweiger, F.
16
1975
Some remarks on ergodicity and invariant measures. Zbl 0302.28013
Schweiger, Fritz
4
1975
Gedämpfte zahlentheoretische Transformationen. Zbl 0315.10044
Schweiger, Fritz
1
1975
Der Satz von Hurwitz beim Jacobialgorithmus. Zbl 0315.10025
Schweiger, F.
1
1975
Metrische Ergebnisse über den Kotangensalgorithmus. Zbl 0261.10042
Schweiger, Fritz
1
1975
The metrical theory of Jacobi-Perron algorithm. Zbl 0287.10041
Schweiger, Fritz
39
1973
Some remarks on Kuzmin’s theorem for F-expansions. Zbl 0256.10027
Schweiger, F.; Waterman, M.
9
1973
Volumsapproximation beim Jacobialgorithmus. II. Zbl 0243.10026
Schweiger, F.
2
1973
Die Billingsleydimension von Mengen mit vorgeschriebenen Ziffern. II. Zbl 0272.10033
Schweiger, Fritz; Stradner, Wolfgang
1
1973
Metrische Sätze über Oppenheimentwicklungen. (Metric theorems on Oppenheim expansions). Zbl 0234.10040
Schweiger, Fritz
4
1972
Die Billingsleydimension von Mengen mit vorgeschriebenen Ziffern. Zbl 0241.10034
Schweiger, Fritz; Stradner, Wolfgang
1
1972
Metrische Theorie kettenbruchähnlicher Ziffernentwicklungen. (Metric theory of digitalexpansion similar to continued fractions). Zbl 0221.10054
Schweiger, F.
1
1971
Induzierte Maße bei zahlentheoretischen Transformationen. Zbl 0206.34201
Schweiger, F.
1
1971
Über den Satz von Borel-Renyi in der Theorie der Cantorschen Reihen. Zbl 0188.35103
Schweiger, Fritz
7
1970
Ergodische Theorie der Engelschen und Sylvesterschen Reihen. Zbl 0197.34501
Schweiger, Fritz
3
1970
Normalität bezüglich zahlentheoretischer Transformationen. Zbl 0184.07503
Schweiger, F.
5
1969
Metrische Theorie einer Klasse zahlentheoretischer Transformationen- (Corrigendum). Zbl 0197.32701
Schweiger, Fritz
1
1969
Metrische Theorie einer Klasse zahlentheoretischer Transformationen. II: Hausdorffdimensionen spezieller Punktmengen. Zbl 0175.33203
Schweiger, Fritz
1
1969
Metrische Theorie einer Klasse zahlentheoretischer Transformationen. Zbl 0179.07602
Schweiger, Fritz
13
1968
Mixing properties and entropy of the Jacobi algorithm. Zbl 0155.37901
Schweiger, F.
3
1968
Ein Kuzminscher Satz über den Jacobischen Algorithmus. Zbl 0165.06404
Schweiger, Fritz
2
1968
Characterization of groups by monomials. Zbl 0153.03301
Lausch, Hans; Schweiger, Fritz
5
1967
Existenz eines invarianten Maßes biem Jacobischen Algorithmus. Zbl 0148.27603
Schweiger, F.
3
1967
Ergodische Théorie des Jacobischen Algorithmus. Zbl 0148.27602
Schweiger, Fritz
2
1966
Polynompermutations on groups. I, II. Zbl 0144.01604
Lausch, Hans; Nöbauer, Wilfried; Schweiger, Fritz
15
1965
Metrische Sätze über den Jacobischen Algorithmus. Zbl 0135.26702
Schweiger, Fritz
3
1965
Geometrische und elementare metrische Sätze über den Jacobischen Algorithmus. Zbl 0135.26701
Schweiger, Fritz
4
1964
all top 5

Cited by 286 Authors

28 Schweiger, Fritz
16 Berthé, Valérie
14 Kraaikamp, Cor
12 Nakada, Hitoshi
7 Dajani, Karma
7 Mance, Bill
7 Nogueira, Arnaldo C. R.
7 Waterman, Michael S.
6 Garrity, Thomas A.
6 Kowol, Gerhard
6 Thaler, Maximilian
6 Vallée, Brigitte
6 Wu, Jun
6 Yuri, Michiko
6 Zhong, Ting
6 Zhuravlev, Vladimir Georgievich
5 Aaronson, Jon
5 Ito, Shunji
5 Natsui, Rie
5 Shen, Luming
5 Urbański, Mariusz
4 Arnoux, Pierre
4 Fang, Lulu
4 Jaksztas, Ludwik
4 Murru, Nadir
4 Tang, Liang
4 Torbin, Grygoriy Myroslavovych
4 Vandehey, Joseph
4 Zweimüller, Roland
3 Albeverio, Sergio A.
3 Bruno, Alexander Dmitrievich
3 Denker, Manfred
3 Ferenczi, Sébastien
3 Inoue, Kae
3 Lascu, Dan
3 Lausch, Hans
3 Mayer, Dieter H.
3 Panti, Giovanni
3 Schmidt, Thomas A.
3 Shang, Lei
3 Steiner, Wolfgang
3 Thuswaldner, Jörg Maximilian
3 Wang, Baowei
2 Airey, Dylan
2 Baldwin, P. R.
2 Barat, Guy
2 Barbolosi, Dominique
2 Barge, Marcy M.
2 Boyarsky, Abraham
2 Bruin, Henk
2 Cellarosi, Francesco
2 Chang, Yuanyang
2 Dasaratha, Krishna
2 de Bruin, Marcel G.
2 Fan, Ai Hua
2 Fernique, Thomas
2 Flapan, Laure
2 Fokkink, Robbert Johan
2 Galambos, Janos
2 Hardcastle, D. M.
2 Hawkins, Jane M.
2 Ishimura, Koshiro
2 Jaerisch, Johannes
2 Kawamura, Katsunori
2 Keller, Gerhard
2 Khanin, Konstantin M.
2 Labbé, Sébastien
2 Langeveld, Niels Daniël Simon
2 Lee, Chansoo
2 Lhote, Loïck
2 Ma, Jihua
2 Meester, Ronald W. J.
2 Miernowski, Tomasz
2 Mihaila, Cornelia
2 Mihailescu, Eugen Gh.
2 Neumann-Chun, Nicholas
2 Nikiforov, Roman O.
2 Peluse, Sarah
2 Pollicott, Mark
2 Pratsiovytyi, Mykola
2 Provençal, Xavier
2 Schratzberger, Bernhard R.
2 Sebe, Gabriela Ileana
2 Stoffregen, Matthew
2 Terracini, Lea
2 Wu, Min
2 Wu, Min
2 Xu, Jian
1 Adamczewski, Boris
1 Adl-Zarabi, Kourosh
1 Akiyama, Shigeki
1 Altomare, Christian Joseph
1 Anashin, Vladimir Sergeevich
1 Armknecht, Frederik
1 Ashikaga, Tadashi
1 Ayral, Hakan
1 Baladi, Viviane
1 Bardet, Jean-Baptiste
1 Bayless-Rossetti, Rachel
1 Beaver, Olga R.
...and 186 more Authors
all top 5

Cited in 99 Serials

30 Monatshefte für Mathematik
27 Journal of Number Theory
17 Ergodic Theory and Dynamical Systems
14 International Journal of Number Theory
12 Transactions of the American Mathematical Society
9 Israel Journal of Mathematics
7 Annales de l’Institut Fourier
6 Communications in Mathematical Physics
6 Journal of Mathematical Analysis and Applications
6 Journal de Théorie des Nombres de Bordeaux
6 Discrete and Continuous Dynamical Systems
5 Mathematics of Computation
5 Archiv der Mathematik
5 Theoretical Computer Science
5 Indagationes Mathematicae. New Series
5 Journal of Mathematical Sciences (New York)
4 Journal of Statistical Physics
4 Proceedings of the American Mathematical Society
4 Tokyo Journal of Mathematics
4 Experimental Mathematics
3 Bulletin of the Australian Mathematical Society
3 Journal d’Analyse Mathématique
3 Advances in Mathematics
3 Czechoslovak Mathematical Journal
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 The Ramanujan Journal
3 Integers
3 Dynamical Systems
3 Stochastics and Dynamics
2 Nonlinearity
2 Compositio Mathematica
2 Journal of Approximation Theory
2 Journal of Soviet Mathematics
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Advances in Applied Mathematics
2 Acta Mathematica Hungarica
2 Journal of Symbolic Computation
2 Aequationes Mathematicae
2 Doklady Mathematics
2 Journal of the European Mathematical Society (JEMS)
2 Journal of the Australian Mathematical Society
1 Discrete Mathematics
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematische Semesterberichte
1 Ukrainian Mathematical Journal
1 Acta Arithmetica
1 Algebra and Logic
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin de la Société Mathématique de France
1 Computing
1 Functiones et Approximatio. Commentarii Mathematici
1 Geometriae Dedicata
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of the Mathematical Society of Japan
1 Mathematische Annalen
1 Mathematical Systems Theory
1 Numerische Mathematik
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Semigroup Forum
1 Topology and its Applications
1 Statistics & Probability Letters
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Physica D
1 Probability Theory and Related Fields
1 Journal of Theoretical Probability
1 Numerical Algorithms
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Pattern Recognition
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Theory of Probability and Mathematical Statistics
1 St. Petersburg Mathematical Journal
1 Fractals
1 Finite Fields and their Applications
1 Bulletin des Sciences Mathématiques
1 Journal of Combinatorial Optimization
1 SIAM Journal on Applied Dynamical Systems
1 Analysis in Theory and Applications
1 International Journal of Computational Methods
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Matematický Časopis, Slovenskej Akadémie Vied
1 Chebyshevskiĭ Sbornik
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Fixed Point Theory and Applications
1 Kyoto Journal of Mathematics
1 Journal of Fractal Geometry
1 Journal of Function Spaces
1 Arnold Mathematical Journal
1 Actes des Rencontres du C.I.R.M.

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