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Author ID: jones.rafe Recent zbMATH articles by "Jones, Rafe"
Published as: Jones, Rafe
Homepage: http://www.people.carleton.edu/~rfjones/
External Links: MGP · Wikidata · ResearchGate

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 329 times in 162 Documents Cited by Year
The density of prime divisors in the arithmetic dynamics of quadratic polynomials. Zbl 1193.37144
Jones, Rafe
54
2008
Galois representations from pre-image trees: an arboreal survey. Zbl 1307.11069
Jones, Rafe
40
2013
Settled polynomials over finite fields. Zbl 1243.11115
Jones, Rafe; Boston, Nigel
22
2012
Galois theory of iterated endomorphisms. Zbl 1244.11057
Jones, Rafe; Rouse, Jeremy
21
2010
Achievement sets of sequences. Zbl 1270.40003
Jones, Rafe
21
2011
The image of an arboreal Galois representation. Zbl 1167.11011
Boston, Nigel; Jones, Rafe
20
2009
Current trends and open problems in arithmetic dynamics. Zbl 1468.37001
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Silverman, Joseph H.; Tucker, Thomas J.
19
2019
Galois theory of quadratic rational functions. Zbl 1316.11104
Jones, Rafe; Manes, Michelle
18
2014
Arboreal Galois representations. Zbl 1206.11069
Boston, Nigel; Jones, Rafe
16
2007
The density of primes in orbits of \(z^d+c\). Zbl 1395.11128
Hamblen, Spencer; Jones, Rafe; Madhu, Kalyani
16
2015
Eventually stable rational functions. Zbl 1391.37072
Jones, Rafe; Levy, Alon
13
2017
An iterative construction of irreducible polynomials reducible modulo every prime. Zbl 1302.11086
Jones, Rafe
13
2012
Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps. Zbl 1323.37058
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Levy, Alon
11
2014
Iterated Galois towers, their associated martingales, and the \(p\)-adic Mandelbrot set. Zbl 1166.11040
Jones, Rafe
10
2007
Finite ramification for preimage fields of post-critically finite morphisms. Zbl 1391.14004
Bridy, Andrew; Ingram, Patrick; Jones, Rafe; Juul, Jamie; Levy, Alon; Manes, Michelle; Rubinstein-Salzedo, Simon; Silverman, Joseph H.
8
2017
Powers in orbits of rational functions: cases of an arithmetic dynamical Mordell-Lang conjecture. Zbl 1428.37100
Cahn, Jordan; Jones, Rafe; Spear, Jacob
7
2019
Fixed-point-free elements of iterated monodromy groups. Zbl 1385.37063
Jones, Rafe
6
2015
Riccati equations and polynomial dynamics over function fields. Zbl 1457.11153
Hindes, Wade; Jones, Rafe
5
2020
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
Newly reducible iterates in families of quadratic polynomials. Zbl 1348.11082
Chamberlin, Katharine; Colbert, Emma; Frechette, Sharon; Hefferman, Patrick; Jones, Rafe; Orchard, Sarah
2
2012
On thermoelastic analysis of two collinear cracks subject to combined quadratic thermo-mechanical load. Zbl 1510.74110
Wu, B.; Peng, D.; Jones, R.
2
2022
Eventually stable quadratic polynomials over \(\mathbb{Q}\). Zbl 1446.37100
Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael
2
2020
Errata to: “Settled polynomials over finite fields”. Zbl 1434.11226
Jones, Rafe; Boston, Nigel
1
2020
Two collinear cracks under combined quadratic thermo-electro-elastic loading. Zbl 1494.74069
Wu, B.; Peng, D.; Jones, R.
1
2022
On thermoelastic analysis of two collinear cracks subject to combined quadratic thermo-mechanical load. Zbl 1510.74110
Wu, B.; Peng, D.; Jones, R.
2
2022
Two collinear cracks under combined quadratic thermo-electro-elastic loading. Zbl 1494.74069
Wu, B.; Peng, D.; Jones, R.
1
2022
Riccati equations and polynomial dynamics over function fields. Zbl 1457.11153
Hindes, Wade; Jones, Rafe
5
2020
Eventually stable quadratic polynomials over \(\mathbb{Q}\). Zbl 1446.37100
Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael
2
2020
Errata to: “Settled polynomials over finite fields”. Zbl 1434.11226
Jones, Rafe; Boston, Nigel
1
2020
Current trends and open problems in arithmetic dynamics. Zbl 1468.37001
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Silverman, Joseph H.; Tucker, Thomas J.
19
2019
Powers in orbits of rational functions: cases of an arithmetic dynamical Mordell-Lang conjecture. Zbl 1428.37100
Cahn, Jordan; Jones, Rafe; Spear, Jacob
7
2019
Eventually stable rational functions. Zbl 1391.37072
Jones, Rafe; Levy, Alon
13
2017
Finite ramification for preimage fields of post-critically finite morphisms. Zbl 1391.14004
Bridy, Andrew; Ingram, Patrick; Jones, Rafe; Juul, Jamie; Levy, Alon; Manes, Michelle; Rubinstein-Salzedo, Simon; Silverman, Joseph H.
8
2017
The density of primes in orbits of \(z^d+c\). Zbl 1395.11128
Hamblen, Spencer; Jones, Rafe; Madhu, Kalyani
16
2015
Fixed-point-free elements of iterated monodromy groups. Zbl 1385.37063
Jones, Rafe
6
2015
Galois theory of quadratic rational functions. Zbl 1316.11104
Jones, Rafe; Manes, Michelle
18
2014
Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps. Zbl 1323.37058
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Levy, Alon
11
2014
Galois representations from pre-image trees: an arboreal survey. Zbl 1307.11069
Jones, Rafe
40
2013
Settled polynomials over finite fields. Zbl 1243.11115
Jones, Rafe; Boston, Nigel
22
2012
An iterative construction of irreducible polynomials reducible modulo every prime. Zbl 1302.11086
Jones, Rafe
13
2012
Newly reducible iterates in families of quadratic polynomials. Zbl 1348.11082
Chamberlin, Katharine; Colbert, Emma; Frechette, Sharon; Hefferman, Patrick; Jones, Rafe; Orchard, Sarah
2
2012
Achievement sets of sequences. Zbl 1270.40003
Jones, Rafe
21
2011
Galois theory of iterated endomorphisms. Zbl 1244.11057
Jones, Rafe; Rouse, Jeremy
21
2010
The image of an arboreal Galois representation. Zbl 1167.11011
Boston, Nigel; Jones, Rafe
20
2009
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
The density of prime divisors in the arithmetic dynamics of quadratic polynomials. Zbl 1193.37144
Jones, Rafe
54
2008
Arboreal Galois representations. Zbl 1206.11069
Boston, Nigel; Jones, Rafe
16
2007
Iterated Galois towers, their associated martingales, and the \(p\)-adic Mandelbrot set. Zbl 1166.11040
Jones, Rafe
10
2007
all top 5

Cited by 176 Authors

15 Hindes, Wade
13 Jones, Rafe
10 Ostafe, Alina
10 Shparlinski, Igor E.
9 Tucker, Thomas John
8 Marchwicki, Jacek
7 Bartoszewicz, Artur
7 Benedetto, Robert L.
7 Głąb, Szymon
7 Ingram, Patrick
7 Rouse, Jeremy A.
5 Ferraguti, Andrea
5 Ghioca, Dragos
5 Goksel, Vefa
5 Juul, Jamie
5 Lukina, Olga
5 Perucca, Antonella
4 Boston, Nigel
4 Bridy, Andrew
4 Doyle, John R.
4 Filipczak, Małgorzata
4 Micheli, Giacomo
3 Banakiewicz, Michał
3 Faber, Xander
3 Hutz, Benjamin
3 Lombardo, Davide M.
3 Looper, Nicole R.
3 Manes, Michelle
3 Mérai, László
3 Prus-Wiśniowski, Franciszek
3 Silverman, Joseph Hillel
3 Yamamoto, Kota
2 Ahmadi, Omran
2 Ejder, Özlem
2 Hsia, Liang-Chung
2 Kadets, Boris
2 Kurlberg, Pär
2 Leonetti, Paolo
2 Levy, Alon
2 Li, Hua-Chieh
2 Mizusawa, Yasushi
2 Olsiewski Healey, Vivian
2 Rumely, Robert S.
2 Stoll, Michael
2 Walton, Laura
2 Zureick-Brown, David
1 Adams, Michael D.
1 Ahmad, Faseeh
1 Álvarez López, Jesús Antonio
1 Andrews, Jesse
1 Anisca, Razvan
1 Balcerzak, Marek
1 Banaszak, Grzegorz
1 Barańczuk, Stefan
1 Barral Lijó, Ramón
1 Berger, Laurent
1 Bielas, Wojciech
1 Bleher, Frauke M.
1 Bouw, Irene I.
1 Breen, Benjamin
1 Bruin, Henk
1 Bruin, Peter
1 Cain, Jennifer
1 Carney, Alexander
1 Carroll, Gregory
1 Carter, Annie
1 Cerchia, Michael
1 Cheng, Kaimin
1 Chinburg, Ted
1 Cortez, Maria Isabel
1 Cubre, Paul
1 D’Andrea, Carlos
1 Davis, Bryant
1 Debry, Christophe
1 DeMark, David
1 Ding, Zhiguo
1 Dittmann, Philip
1 Faber, X. W. C.
1 Fang, Lily
1 Froelich, Jennifer B.
1 Garton, Derek
1 Gassert, Thomas Alden
1 Gauthier, Thomas
1 Genao, Tyler
1 Germane, Kimball
1 Gillibert, Florence
1 Gomez-Perez, Domingo
1 Gómez, Domingo
1 Gorman, Alexi Block
1 Gottesman, Richard
1 Granville, Andrew James
1 Han, Minsik
1 Heath-Brown, Roger
1 Huguin, Valentin
1 Hwang, Heesu
1 Ilie, Monica
1 Illig, Peter
1 Jacobs, Kenneth S.
1 Jacobs, Reiyah
1 Jha, Abhishek Kumar
...and 76 more Authors
all top 5

Cited in 66 Serials

17 Transactions of the American Mathematical Society
16 Journal of Number Theory
9 Proceedings of the American Mathematical Society
8 International Journal of Number Theory
6 Acta Arithmetica
6 Results in Mathematics
4 Research in Number Theory
3 Journal of Mathematical Analysis and Applications
3 Archiv der Mathematik
3 Bulletin of the London Mathematical Society
3 Journal of Algebra
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Pacific Journal of Mathematics
3 Finite Fields and their Applications
3 The New York Journal of Mathematics
3 Algebra & Number Theory
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Chaos, Solitons and Fractals
2 Advances in Mathematics
2 Duke Mathematical Journal
2 Functiones et Approximatio. Commentarii Mathematici
2 Glasgow Mathematical Journal
2 Monatshefte für Mathematik
2 Ergodic Theory and Dynamical Systems
2 Revista Matemática Iberoamericana
2 Filomat
2 Cryptography and Communications
2 European Journal of Mathematics
1 American Mathematical Monthly
1 Communications in Algebra
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Fundamenta Mathematicae
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Proceedings of the Japan Academy. Series A
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Tokyo Journal of Mathematics
1 Journal of Symbolic Computation
1 Games and Economic Behavior
1 Bulletin of the American Mathematical Society. New Series
1 Experimental Mathematics
1 Tatra Mountains Mathematical Publications
1 Journal de Théorie des Nombres de Bordeaux
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Conformal Geometry and Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 JP Journal of Algebra, Number Theory and Applications
1 Central European Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Oberwolfach Reports
1 Albanian Journal of Mathematics
1 Forum of Mathematics, Pi
1 Forum of Mathematics, Sigma
1 Annales Mathématiques du Québec
1 Proceedings of the American Mathematical Society. Series B

Citations by Year

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