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Benedetto, Robert L.

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Author ID: benedetto.robert-l Recent zbMATH articles by "Benedetto, Robert L."
Published as: Benedetto, Robert; Benedetto, Robert L.
Documents Indexed: 33 Publications since 1999, including 1 Book

Publications by Year

Citations contained in zbMATH

29 Publications have been cited 362 times in 235 Documents Cited by Year
A wavelet theory for local fields and related groups. Zbl 1114.42015
Benedetto, John J.; Benedetto, Robert L.
78
2004
Hyperbolic maps in \(p\)-adic dynamics. Zbl 0972.37027
Benedetto, Robert L.
34
2001
Examples of wavelets for local fields. Zbl 1062.42027
Benedetto, Robert L.
28
2004
Heights and preperiodic points of polynomials over function fields,. Zbl 1114.14018
Benedetto, Robert L.
21
2005
\(p\)-adic dynamics and Sullivan’s no wandering domains theorem. Zbl 0996.37055
Benedetto, Robert L.
20
2000
Components and periodic points in non-Archimedean dynamics. Zbl 1012.37005
Benedetto, Robert L.
19
2002
A case of the dynamical Mordell-Lang conjecture. Zbl 1285.37021
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
18
2012
Reduction, dynamics, and Julia sets of rational functions. Zbl 0978.37039
Benedetto, Robert L.
18
2001
Periods of rational maps modulo primes. Zbl 1317.37111
Benedetto, Robert L.; Ghioca, Dragos; Hutz, Benjamin; Kurlberg, Pär; Scanlon, Thomas; Tucker, Thomas J.
15
2013
Preperiodic points of polynomials over global fields. Zbl 1156.37009
Benedetto, Robert L.
14
2007
Examples of wandering domains in \(p\)-adic polynomial dynamics. Zbl 1151.37314
Benedetto, Robert L.
12
2002
Non-Archimedean holomorphic maps and the Ahlfors islands theorem. Zbl 1041.30021
Benedetto, Robert L.
11
2003
The topology of the relative character varieties of a quadruply-punctured sphere. Zbl 0957.57003
Benedetto, Robert L.; Goldman, William M.
8
1999
Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps. Zbl 1323.37058
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Levy, Alon
7
2014
A gap principle for dynamics. Zbl 1209.37115
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
7
2010
Wandering domains in non-Archimedean polynomial dynamics. Zbl 1117.12004
Benedetto, Robert L.
7
2006
Optimal ambiguity functions and Weil’s exponential sum bound. Zbl 1250.42022
Benedetto, John J.; Benedetto, Robert L.; Woodworth, Joseph T.
6
2012
A criterion for potentially good reduction in nonarchimedean dynamics. Zbl 1379.37147
Benedetto, Robert L.
5
2014
Wandering domains and nontrivial reduction in non-archimedean dynamics. Zbl 1137.11354
Benedetto, Robert L.
5
2005
Current trends and open problems in arithmetic dynamics. Zbl 07124524
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Silverman, Joseph H.; Tucker, Thomas J.
4
2019
The construction of wavelet sets. Zbl 1258.42034
Benedetto, John J.; Benedetto, Robert L.
4
2011
Computing points of small height for cubic polynomials. Zbl 1194.37187
Benedetto, Robert L.; Dickman, Benjamin; Joseph, Sasha; Krause, Benjamin; Rubin, Daniel; Zhou, Xinwen
4
2009
Odoni’s conjecture for number fields. Zbl 07094878
Benedetto, Robert L.; Juul, Jamie
3
2019
A large arboreal Galois representation for a cubic postcritically finite polynomial. Zbl 1427.11118
Benedetto, Robert L.; Faber, Xander; Hutz, Benjamin; Juul, Jamie; Yasufuku, Yu
3
2017
Small dynamical heights for quadratic polynomials and rational functions. Zbl 1347.37158
Benedetto, Robert L.; Chen, Ruqian; Hyde, Trevor; Kovacheva, Yordanka; White, Colin
3
2014
Dynamics of quadratic polynomials over local fields. Zbl 1197.37144
Benedetto, Robert; Briend, Jean-Yves; Perdry, Hervé
3
2007
Attaining potentially good reduction in arithmetic dynamics. Zbl 1392.37099
Benedetto, Robert L.
2
2015
An Ahlfors islands theorem for non-archimedean meromorphic functions. Zbl 1204.30035
Benedetto, Robert L.
2
2008
An elementary product identity in polynomial dynamics. Zbl 1037.11013
Benedetto, Robert L.
1
2001
Current trends and open problems in arithmetic dynamics. Zbl 07124524
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Silverman, Joseph H.; Tucker, Thomas J.
4
2019
Odoni’s conjecture for number fields. Zbl 07094878
Benedetto, Robert L.; Juul, Jamie
3
2019
A large arboreal Galois representation for a cubic postcritically finite polynomial. Zbl 1427.11118
Benedetto, Robert L.; Faber, Xander; Hutz, Benjamin; Juul, Jamie; Yasufuku, Yu
3
2017
Attaining potentially good reduction in arithmetic dynamics. Zbl 1392.37099
Benedetto, Robert L.
2
2015
Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps. Zbl 1323.37058
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Levy, Alon
7
2014
A criterion for potentially good reduction in nonarchimedean dynamics. Zbl 1379.37147
Benedetto, Robert L.
5
2014
Small dynamical heights for quadratic polynomials and rational functions. Zbl 1347.37158
Benedetto, Robert L.; Chen, Ruqian; Hyde, Trevor; Kovacheva, Yordanka; White, Colin
3
2014
Periods of rational maps modulo primes. Zbl 1317.37111
Benedetto, Robert L.; Ghioca, Dragos; Hutz, Benjamin; Kurlberg, Pär; Scanlon, Thomas; Tucker, Thomas J.
15
2013
A case of the dynamical Mordell-Lang conjecture. Zbl 1285.37021
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
18
2012
Optimal ambiguity functions and Weil’s exponential sum bound. Zbl 1250.42022
Benedetto, John J.; Benedetto, Robert L.; Woodworth, Joseph T.
6
2012
The construction of wavelet sets. Zbl 1258.42034
Benedetto, John J.; Benedetto, Robert L.
4
2011
A gap principle for dynamics. Zbl 1209.37115
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
7
2010
Computing points of small height for cubic polynomials. Zbl 1194.37187
Benedetto, Robert L.; Dickman, Benjamin; Joseph, Sasha; Krause, Benjamin; Rubin, Daniel; Zhou, Xinwen
4
2009
An Ahlfors islands theorem for non-archimedean meromorphic functions. Zbl 1204.30035
Benedetto, Robert L.
2
2008
Preperiodic points of polynomials over global fields. Zbl 1156.37009
Benedetto, Robert L.
14
2007
Dynamics of quadratic polynomials over local fields. Zbl 1197.37144
Benedetto, Robert; Briend, Jean-Yves; Perdry, Hervé
3
2007
Wandering domains in non-Archimedean polynomial dynamics. Zbl 1117.12004
Benedetto, Robert L.
7
2006
Heights and preperiodic points of polynomials over function fields,. Zbl 1114.14018
Benedetto, Robert L.
21
2005
Wandering domains and nontrivial reduction in non-archimedean dynamics. Zbl 1137.11354
Benedetto, Robert L.
5
2005
A wavelet theory for local fields and related groups. Zbl 1114.42015
Benedetto, John J.; Benedetto, Robert L.
78
2004
Examples of wavelets for local fields. Zbl 1062.42027
Benedetto, Robert L.
28
2004
Non-Archimedean holomorphic maps and the Ahlfors islands theorem. Zbl 1041.30021
Benedetto, Robert L.
11
2003
Components and periodic points in non-Archimedean dynamics. Zbl 1012.37005
Benedetto, Robert L.
19
2002
Examples of wandering domains in \(p\)-adic polynomial dynamics. Zbl 1151.37314
Benedetto, Robert L.
12
2002
Hyperbolic maps in \(p\)-adic dynamics. Zbl 0972.37027
Benedetto, Robert L.
34
2001
Reduction, dynamics, and Julia sets of rational functions. Zbl 0978.37039
Benedetto, Robert L.
18
2001
An elementary product identity in polynomial dynamics. Zbl 1037.11013
Benedetto, Robert L.
1
2001
\(p\)-adic dynamics and Sullivan’s no wandering domains theorem. Zbl 0996.37055
Benedetto, Robert L.
20
2000
The topology of the relative character varieties of a quadruply-punctured sphere. Zbl 0957.57003
Benedetto, Robert L.; Goldman, William M.
8
1999
all top 5

Cited by 226 Authors

15 Benedetto, Robert L.
14 Khrennikov, Andreĭ Yur’evich
13 Ghioca, Dragos
13 Tucker, Thomas John
11 Mukhamedov, Farruh Maksutovich
10 Kozyrev, Sergeĭ Vladimirovich
9 Shah, Firdous Ahmad
9 Skopina, Maria A.
7 Ingram, Patrick
7 Shelkovich, Vladimir M.
7 Shparlinski, Igor E.
6 Albeverio, Sergio A.
6 Bhat, Mohammad Younus
6 Canci, Jung Kyu
6 Silverman, Joseph Hillel
5 Benedetto, John J.
5 Evdokimov, Sergeĭ Alekseevich
5 Fan, Shilei
5 Farkov, Yuriĭ Anatol’evich
5 Liao, Lingmin
5 Ostafe, Alina
4 Faber, Xander
4 Hutz, Benjamin
4 Jones, Rafe
4 Lukomskiĭ, Sergeĭ Fedorovich
4 Yurova, Ekaterina I.
4 Zieve, Michael E.
3 Ahmad, Owais
3 Behera, Biswaranjan
3 Chang, Mei-Chu
3 Fan, Ai Hua
3 Hindes, Wade
3 Jahan, Qaiser
3 Khakimov, Otabek N.
3 Kurlberg, Pär
3 Lindahl, Karl-Olof
3 Nguyen, Khoa Dang
3 Okuyama, Yûsuke
3 Pathak, Ashish
3 Sha, Min
3 Towsley, Adam
3 Vishkautsan, Solomon
3 Wang, Yuefei
3 Yasufuku, Yu
2 Abdullah
2 Anashin, Vladimir Sergeevich
2 Baker, Matthew H.
2 Bézivin, Jean-Paul
2 Bridy, Andrew
2 Cantat, Serge
2 Christensen, Ole
2 D’Andrea, Carlos
2 DeMarco, Laura Grace
2 DeMark, David
2 Doyle, John R.
2 Dragovich, Branko
2 Duong, Dao Van
2 Goh, Say Song
2 Goksel, Vefa
2 Hsia, Liang-Chung
2 Huang, Keping
2 Jenkins, Adrian
2 Kawaguchi, Shu
2 King, Emily Jeannette
2 Kiwi, Jan
2 Lee, Junghun
2 Magsino, Mark
2 Mans, Bernard
2 Mayeli, Azita
2 Nguyen Minh Chuong
2 Paternostro, Victoria
2 Petsche, Clayton
2 Rumely, Robert S.
2 Shukla, Niraj K.
2 Singh, Divya
2 Singh, Guru P.
2 Sombra, Martín
2 Spallone, Steven
2 Svensson, Per-Anders
2 Troncoso, Sebastian
2 Vivaldi, Franco
2 Volovich, Igor’ Vasil’evich
2 Vourdas, Apostolos
1 Adam, David
1 Aguilar-Arteaga, Victor A.
1 Ahmad, Neyaz
1 Ahmadi, Ahmad
1 Akbary, Amir
1 Akin, Hasan
1 Ali, Muhammad Arfan
1 Allen, Kenneth R.
1 Amerik, Ekaterina Yu.
1 Andrews, Travis D.
1 Askari-Hemmat, Ataollah
1 Astorg, Matthieu
1 Axelsson, E. Yurova
1 Barbieri, Davide Francesco
1 Barg, Alexander M.
1 Begué, Matthew J.
1 Bell, Jason P.
...and 126 more Authors
all top 5

Cited in 94 Serials

16 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
15 Journal of Number Theory
13 Transactions of the American Mathematical Society
11 Journal of Mathematical Analysis and Applications
10 Proceedings of the Steklov Institute of Mathematics
7 The Journal of Fourier Analysis and Applications
6 Mathematische Annalen
5 Duke Mathematical Journal
5 Mathematische Zeitschrift
5 Proceedings of the American Mathematical Society
5 Applied and Computational Harmonic Analysis
5 International Journal of Wavelets, Multiresolution and Information Processing
4 Acta Arithmetica
4 Advances in Mathematics
4 Annales de l’Institut Fourier
4 Journal de Théorie des Nombres de Bordeaux
4 Discrete and Continuous Dynamical Systems
4 Complex Analysis and Operator Theory
3 Bulletin of the London Mathematical Society
3 Ergodic Theory and Dynamical Systems
3 Experimental Mathematics
3 International Journal of Number Theory
3 International Journal of Applied and Computational Mathematics
3 Research in Number Theory
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of Algebra
2 Journal of Approximation Theory
2 Journal für die Reine und Angewandte Mathematik
2 Michigan Mathematical Journal
2 The Journal of Geometric Analysis
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Mathematical Sciences (New York)
2 Doklady Mathematics
2 Mathematical Physics, Analysis and Geometry
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Algebra & Number Theory
1 Communications in Mathematical Physics
1 International Journal of Control
1 Israel Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Canadian Mathematical Bulletin
1 Collectanea Mathematica
1 Compositio Mathematica
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series B
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Monatshefte für Mathematik
1 Numerical Functional Analysis and Optimization
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Results in Mathematics
1 Acta Mathematica Hungarica
1 Revista Matemática Iberoamericana
1 International Journal of Mathematics
1 IMRN. International Mathematics Research Notices
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Linear Algebra and its Applications
1 Indagationes Mathematicae. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Journal of Mathematical Physics
1 Turkish Journal of Mathematics
1 Fractals
1 Finite Fields and their Applications
1 The New York Journal of Mathematics
1 Conformal Geometry and Dynamics
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Chaos
1 Annals of Mathematics. Second Series
1 Analysis (München)
1 Acta Mathematica Sinica. English Series
1 Dynamical Systems
1 Central European Journal of Mathematics
1 Sampling Theory in Signal and Image Processing
1 Mediterranean Journal of Mathematics
1 Communications in Mathematical Analysis
1 Groups, Geometry, and Dynamics
1 Acta Universitatis Sapientiae. Mathematica
1 Science China. Mathematics
1 Journal of Pseudo-Differential Operators and Applications
1 Symmetry
1 Afrika Matematika
1 Journal of Classical Analysis
1 Journal of Operators

Citations by Year