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Author ID: faber.xander Recent zbMATH articles by "Faber, Xander"
Published as: Faber, Xander
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 208 times in 158 Documents Cited by Year
Metrized graphs, Laplacian operators, and electrical networks. Zbl 1114.94025
Baker, Matthew; Faber, Xander
36
2006
Metric properties of the tropical Abel-Jacobi map. Zbl 1215.14060
Baker, Matthew; Faber, Xander
31
2011
Topology and geometry of the Berkovich ramification locus for rational functions. I. Zbl 1288.14014
Faber, Xander
26
2013
Automorphic representations and \(L\)-functions for the general linear group. Volume 2. With exercises by Xander Faber. Zbl 1253.11060
Goldfeld, Dorian; Hundley, Joseph
26
2011
Prime factors of dynamical sequences. Zbl 1290.11019
Faber, Xander; Granville, Andrew
19
2011
Topology and geometry of the Berkovich ramification locus for rational functions. II. Zbl 1277.14020
Faber, Xander
19
2013
Preperiodic points for quadratic polynomials over quadratic fields. Zbl 1391.37082
Doyle, John R.; Faber, Xander; Krumm, David
17
2014
Degenerations of complex dynamical systems. II: Analytic and algebraic stability. Zbl 1343.37089
DeMarco, Laura; Faber, Xander
14
2016
Automorphic representations and \(L\)-functions for the general linear group. Volume 1. With exercises by Xander Faber. Zbl 1247.11070
Goldfeld, Dorian; Hundley, Joseph
12
2011
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
9
2017
Degenerations of complex dynamical systems. Zbl 1308.37023
De Marco, Laura; Faber, Xander
7
2014
Binary curves of small fixed genus and gonality with many rational points. Zbl 1508.11065
Faber, Xander; Grantham, Jon
5
2022
Computing conjugating sets and automorphism groups of rational functions. Zbl 1391.37066
Faber, Xander; Manes, Michelle; Viray, Bianca
5
2015
Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086
Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E.
4
2009
On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019
Faber, Xander; Hutz, Benjamin; Stoll, Michael
3
2011
Finite \(p\)-irregular subgroups of \({\mathrm{PGL}}_2 (k)\). Zbl 1521.20053
Faber, Xander
3
2023
On the number of places of convergence for Newton’s method over number fields. Zbl 1223.37118
Faber, Xander; Voloch, José Felipe
3
2011
Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials. Zbl 1392.37116
Faber, Xander
2
2015
Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6–13, 2011. Zbl 1281.14002
2
2013
On abelian covers of the projective line with fixed gonality and many rational points. Zbl 1518.11050
Faber, Xander; Vermeulen, Floris
1
2022
Rational functions with a unique critical point. Zbl 1466.37040
Faber, Xander
1
2014
On the field of definition of a cubic rational function and its critical points. Zbl 1432.58033
Faber, Xander; Thompson, Bianca
1
2016
Finite \(p\)-irregular subgroups of \({\mathrm{PGL}}_2 (k)\). Zbl 1521.20053
Faber, Xander
3
2023
Binary curves of small fixed genus and gonality with many rational points. Zbl 1508.11065
Faber, Xander; Grantham, Jon
5
2022
On abelian covers of the projective line with fixed gonality and many rational points. Zbl 1518.11050
Faber, Xander; Vermeulen, Floris
1
2022
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
9
2017
Degenerations of complex dynamical systems. II: Analytic and algebraic stability. Zbl 1343.37089
DeMarco, Laura; Faber, Xander
14
2016
On the field of definition of a cubic rational function and its critical points. Zbl 1432.58033
Faber, Xander; Thompson, Bianca
1
2016
Computing conjugating sets and automorphism groups of rational functions. Zbl 1391.37066
Faber, Xander; Manes, Michelle; Viray, Bianca
5
2015
Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials. Zbl 1392.37116
Faber, Xander
2
2015
Preperiodic points for quadratic polynomials over quadratic fields. Zbl 1391.37082
Doyle, John R.; Faber, Xander; Krumm, David
17
2014
Degenerations of complex dynamical systems. Zbl 1308.37023
De Marco, Laura; Faber, Xander
7
2014
Rational functions with a unique critical point. Zbl 1466.37040
Faber, Xander
1
2014
Topology and geometry of the Berkovich ramification locus for rational functions. I. Zbl 1288.14014
Faber, Xander
26
2013
Topology and geometry of the Berkovich ramification locus for rational functions. II. Zbl 1277.14020
Faber, Xander
19
2013
Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6–13, 2011. Zbl 1281.14002
2
2013
Metric properties of the tropical Abel-Jacobi map. Zbl 1215.14060
Baker, Matthew; Faber, Xander
31
2011
Automorphic representations and \(L\)-functions for the general linear group. Volume 2. With exercises by Xander Faber. Zbl 1253.11060
Goldfeld, Dorian; Hundley, Joseph
26
2011
Prime factors of dynamical sequences. Zbl 1290.11019
Faber, Xander; Granville, Andrew
19
2011
Automorphic representations and \(L\)-functions for the general linear group. Volume 1. With exercises by Xander Faber. Zbl 1247.11070
Goldfeld, Dorian; Hundley, Joseph
12
2011
On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019
Faber, Xander; Hutz, Benjamin; Stoll, Michael
3
2011
On the number of places of convergence for Newton’s method over number fields. Zbl 1223.37118
Faber, Xander; Voloch, José Felipe
3
2011
Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086
Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E.
4
2009
Metrized graphs, Laplacian operators, and electrical networks. Zbl 1114.94025
Baker, Matthew; Faber, Xander
36
2006
all top 5

Cited by 190 Authors

13 Faber, Xander
8 Doyle, John R.
8 Hutz, Benjamin
8 Shokrieh, Farbod
7 Tucker, Thomas John
6 Benedetto, Robert L.
6 de Jong, Robin
5 DeMarco, Laura Grace
5 Ghioca, Dragos
5 Nie, Hongming
4 Cinkir, Zubeyir
4 Jones, Rafe
4 Krumm, David
4 Len, Yoav
4 Silverman, Joseph Hillel
3 Abreu, Alex C.
3 Baker, Matthew H.
3 Bridy, Andrew
3 Jacobs, Kenneth S.
3 Kiwi, Jan
3 Pacini, Marco
3 Shparlinski, Igor E.
2 Andria, Sally
2 Backman, Spencer
2 Baldassarri, Francesco
2 Bojkovic, Velibor
2 Ejder, Özlem
2 Favre, Charles
2 Gross, Andreas
2 Hindes, Wade
2 Ingram, Patrick
2 Kedlaya, Kiran Sridhara
2 Levy, Alon
2 Li, Ruofan
2 Lukina, Olga
2 Luo, Yusheng
2 Manes, Michelle
2 Musiker, Gregg
2 Nguyen, Khoa Dang
2 Ostafe, Alina
2 Payne, Sam
2 Pilgrim, Kevin M.
2 Richman, David Harry
2 Robinson, Michael
2 Rojas, J. Maurice
2 Rumely, Robert S.
2 Shen, Tif
2 Stoll, Michael
2 Ulirsch, Martin
2 Vermeulen, Floris
2 Vishkautsan, Solomon
2 Yuen, Chi Ho
2 Zakharov, Dmitry Vladimirovich
1 Agrawal, Rohit
1 Ahmad, Faseeh
1 Amini, Omid
1 An, Yang
1 Avendano, Martin
1 Baccelli, François Louis
1 Bajpai, Dvij
1 Banerjee, Debargha
1 Bérczes, Attila
1 Berkolaiko, Gregory
1 Bleher, Frauke M.
1 Bouw, Irene I.
1 Brandt, Madeline
1 Brugallé, Erwan
1 Burdzy, Krzysztof
1 Cai, Julia
1 Cain, Jennifer
1 Canci, Jung Kyu
1 Carroll, Gregory
1 Cartwright, Dustin A.
1 Chan, Melody
1 Chaudhuri, Chitrabhanu
1 Chen, Ruqian
1 Cheng, Raymond
1 Chinburg, Ted
1 Christ, Karl
1 Cohen, Adina
1 Cools, Filip
1 Dana, Will
1 de Faria, João Alberto
1 de la Puente, Maria Jesus
1 Diller, Jeffrey
1 Dragutinović, Dušan
1 Draisma, Jan
1 Dujardin, Romain
1 Eberhart, Ryan
1 Ergür, Alperen Ali
1 Faber, X. W. C.
1 Fang, Lily
1 Ferraguti, Andrea
1 Fu, Hang
1 Goksel, Vefa
1 Gomez-Perez, Domingo
1 Gontmacher, Brandon
1 Haase, Christian Alexander
1 Helminck, Paul Alexander
1 Hsia, Liang-Chung
...and 90 more Authors
all top 5

Cited in 76 Serials

10 Mathematische Annalen
8 Transactions of the American Mathematical Society
7 Mathematics of Computation
7 Mathematische Zeitschrift
6 Advances in Mathematics
6 Journal of Number Theory
6 International Journal of Number Theory
5 Journal de Théorie des Nombres de Bordeaux
5 Forum of Mathematics, Sigma
4 Acta Arithmetica
3 Israel Journal of Mathematics
3 Duke Mathematical Journal
3 Inventiones Mathematicae
3 Manuscripta Mathematica
3 Journal of Algebraic Combinatorics
3 Research in Number Theory
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Compositio Mathematica
2 Journal of Combinatorial Theory. Series A
2 Journal of the London Mathematical Society. Second Series
2 Journal of Pure and Applied Algebra
2 Proceedings of the American Mathematical Society
2 European Journal of Combinatorics
2 Ergodic Theory and Dynamical Systems
2 The Electronic Journal of Combinatorics
2 Selecta Mathematica. New Series
2 Annales Henri Poincaré
2 Journal of Modern Dynamics
1 Rocky Mountain Journal of Mathematics
1 Beiträge zur Algebra und Geometrie
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series B
1 Journal of Differential Equations
1 Journal of Differential Geometry
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Kybernetika
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Semigroup Forum
1 Advances in Applied Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Symbolic Computation
1 Probability Theory and Related Fields
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 SIAM Journal on Discrete Mathematics
1 IMRN. International Mathematics Research Notices
1 Automation and Remote Control
1 Stochastic Processes and their Applications
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Algebraic Geometry
1 The New York Journal of Mathematics
1 Séminaire Lotharingien de Combinatoire
1 Journal of Inequalities and Applications
1 Annals of Combinatorics
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Algebra and its Applications
1 Complex Variables and Elliptic Equations
1 Algebra & Number Theory
1 Involve
1 Research in the Mathematical Sciences
1 Arnold Mathematical Journal
1 Transactions of the American Mathematical Society. Series B
1 Annales Henri Lebesgue
1 La Matematica

Citations by Year