Robert Rumely

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All published works

Action	Title	Year	Authors
+ PDF Chat	A new equivariant in nonarchimedean dynamics	2017	Robert Rumely
+ PDF Chat	Configuration of the crucial set for a quadratic rational map	2016	John R. Doyle K. Jacobs Robert Rumely
+	The Lipschitz Constant of a Nonarchimedean Rational Function	2015	Robert Rumely Stephen Winburn
+ PDF Chat	The minimal resultant locus	2015	Robert Rumely
+	Configuration of the Crucial Set for a Quadratic Rational Map	2015	John R. Doyle K. Jacobs Robert Rumely
+ PDF Chat	The Geometry of the Minimal Resultant Locus	2014	Robert Rumely
+	Capacity Theory With Local Rationality: The Strong Fekete-szego Theorem on Curves	2014	Robert Rumely
+	The local action of the Jacobian	2013	Robert Rumely
+	The construction of oscillating pseudopolynomials	2013	Robert Rumely
+	Local patching for nonarchimedean 𝐾ᵥ-simple sets	2013	Robert Rumely
+	Local patching for nonarchimedean RL-domains	2013	Robert Rumely
+	Initial approximating functions: Archimedean case	2013	Robert Rumely
+	Initial approximating functions: Nonarchimedean case	2013	Robert Rumely
+	The Minimal Resultant Locus	2013	Robert Rumely
+	The Fekete-Szego theorem with Local Rationality Conditions on Curves	2012	Robert Rumely
+	Potential Theory and Dynamics on the Berkovich Projective Line	2010	Matthew Baker Robert Rumely
+	Applications to the dynamics of rational maps	2010	Matthew J. Baker Robert Rumely
+	The Laplacian on the Berkovich projective line	2010	Matthew Baker Robert Rumely
+	The Berkovich unit disc	2010	Matthew Baker Robert Rumely
+	The Berkovich projective line	2010	Matthew Baker Robert Rumely
+	ℝ-trees and Gromov hyperbolicity	2010	Matthew Baker Robert Rumely
+	Subharmonic functions	2010	Matthew Baker Robert Rumely
+ PDF Chat	A finiteness property of torsion points	2008	Matthew Baker Su-Ion Ih Robert Rumely
+ PDF Chat	Harmonic Analysis on Metrized Graphs	2007	M. J. C. Baker Robert Rumely
+ PDF Chat	Transfinite diameter and the resultant	2007	Laura DeMarco Robert Rumely
+ PDF Chat	A Robin formula for the Fekete-Leja transfinite diameter	2006	Robert Rumely
+ PDF Chat	Equidistribution of Small Points, Rational Dynamics, and Potential Theory	2006	Matthew Baker Robert Rumely
+	Transfinite diameter and the resultant	2006	Laura DeMarco Robert Rumely
+	A finiteness property of torsion points	2005	Matthew Baker Su-Ion Ih Robert Rumely
+	A Robin formula for the Fekete-Leja transfinite diameter	2005	Robert Rumely
+	A finiteness property of torsion points	2005	Matthew J. Baker Su-Ion Ih Robert Rumely
+	Analysis and dynamics on the Berkovich projective line	2004	Robert Rumely Matthew Baker
+	Harmonic analysis on metrized graphs	2004	Matthew Baker Robert Rumely
+	Equidistribution of small points, rational dynamics, and potential theory	2004	Matthew Baker Robert Rumely
+	Capacity theory and arithmetic intersection theory	2003	Ted Chinburg Chi Fong Lau Robert Rumely
+ PDF Chat	The Fekete–Szegő theorem with splitting conditions: Part II	2002	Robert Rumely
+	Existence of the sectional capacity	2000	Robert Rumely Chi Fong Lau Robert Varley
+ PDF Chat	The Fekete-Szegő theorem with splitting conditions: Part I	2000	Robert Rumely
+ PDF Chat	On Bilu’s equidistribution theorem	1999	Robert Rumely
+ PDF Chat	Primes in arithmetic progressions	1996	Olivier Ramaré Robert Rumely
+	Arithmetic capacities on ℙ N	1994	Robert Rumely Chi Fong Lau
+ PDF Chat	Numerical Computations Concerning the ERH	1993	Robert Rumely
+	On the relation between Cantor’s capacity and the sectional capacity	1993	Robert Rumely
+ PDF Chat	Numerical computations concerning the ERH	1993	Robert Rumely
+	Well-Adjusted Models for Curves over Dedekind Rings	1991	Ted Chinburg Robert Rumely
+ PDF Chat	Capacity Theory on Algebraic Curves	1989	Robert Rumely
+	Local capacity theory — Nonarchimedean case	1989	Robert Rumely
+ PDF Chat	Remarks on generalised power sums	1987	Robert Rumely A. J. van der Poorten
+	Zeros of <i>p</i> -Adic Exponential Polynomials II	1987	A. J. van der Poorten Robert Rumely
+	Arithmetic over the rings of all algebraic integers.	1986	Robert Rumely
+	A formula for the grössencharacter of a parametrized elliptic curve	1983	Robert Rumely
+	On the Grossencharacter of an Abelian Variety in a Parametrized Family	1983	Robert Rumely
+ PDF Chat	On the grössencharacter of an abelian variety in a parametrized family	1983	Robert Rumely
+	On Distinguishing Prime Numbers from Composite Numbers	1983	Leonard M. Adleman Carl Pomerance Robert Rumely
+ PDF Chat	Undecidability and definability for the theory of global fields	1980	Robert Rumely
+	An explicit formula for the grossencharacter of an abelian variety with complex multiplication.	1978	Robert Rumely

Common Coauthors

Coauthor	Papers Together
Matthew Baker	12
Su-Ion Ih	3
Chi Fong Lau	3
A. J. van der Poorten	2
Ted Chinburg	2
Matthew J. Baker	2
John R. Doyle	2
K. Jacobs	2
Laura DeMarco	2
Olivier Ramaré	1
Robert Varley	1
M. J. C. Baker	1
Stephen Winburn	1
Leonard M. Adleman	1
Carl Pomerance	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Capacity Theory on Algebraic Curves	1989	Robert Rumely	12
+	Spectral Theory and Analytic Geometry over Non-Archimedean Fields	2012	Vladimir G. Berkovich	12
+ PDF Chat	A new capacity for plurisubharmonic functions	1982	Eric Bedford B. A. Taylor	8
+	Existence of the sectional capacity	2000	Robert Rumely Chi Fong Lau Robert Varley	8
+	Capacity theory on varieties	1991	Ted Chinburg	7
+	Admissible pairing on a curve	1993	Shou-Wu Zhang	7
+	On an extension of the definition of transfinite diameter and some applications.	1980	David G. Cantor	6
+	Potential Theory and Dynamics on the Berkovich Projective Line	2010	Matthew Baker Robert Rumely	5
+	Equidistribution des points de petite hauteur	2004	Charles Favre Juan Rivera‐Letelier	5
+	The Valuative Tree	2004	Charles Favre Mattias Jönsson	5
+	Potential theory in modern function theory	1959	正次辻	5
+	The Arithmetic of Dynamical Systems	2007	Joseph H. Silverman	4
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	4
+	Algebraic Numbers and Algebraic Functions	1967	Emil Artin	4
+ PDF Chat	The Geometry of the Minimal Resultant Locus	2014	Robert Rumely	4
+	Calculus on Arithmetic Surfaces	1984	Герд Фалтингс	4
+	Limit distribution of small points on algebraic tori	1997	Yuri Bilu	4
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	4
+	Capacity theory and arithmetic intersection theory	2003	Ted Chinburg Chi Fong Lau Robert Rumely	4
+	Equirépartition des petits points	1997	Lucien Szpiro Emmanuel Ullmo Shaoqing Zhang	4
+ PDF Chat	Equidistribution of Small Points, Rational Dynamics, and Potential Theory	2006	Matthew Baker Robert Rumely	4
+	On the relation between Cantor’s capacity and the sectional capacity	1993	Robert Rumely	3
+	The space of rational maps on ℙ 1	1998	Joseph H. Silverman	3
+ PDF Chat	Théorie ergodique des fractions rationnelles sur un corps ultramétrique	2009	Charles Favre Juan Rivera‐Letelier	3
+	Potential Theory in the Complex Plane	1995	Thomas Ransford	3
+ PDF Chat	Equidistribution quantitative des points de petite hauteur sur la droite projective	2006	Charles Favre Juan Rivera‐Letelier	3
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	3
+	Points entiers sur les surfaces arithmétiques	2001	Pascal Autissier	3
+ PDF Chat	None	2003	Juan Rivera‐Letelier	3
+	Potential theory on curves	1989	Ernst Kani	3
+ PDF Chat	The minimal resultant locus	2015	Robert Rumely	3
+	Arithmetic capacities on ℙ N	1994	Robert Rumely Chi Fong Lau	3
+	Reduction, Dynamics, and Julia Sets of Rational Functions	2001	Robert L. Benedetto	3
+ PDF Chat	Harmonic Analysis on Metrized Graphs	2007	M. J. C. Baker Robert Rumely	3
+	Semi-stable reduction implies minimality of the resultant	2013	Lucien Szpiro Michael Tepper Phillip Williams	3
+	Comparison of Capacities in ℂn	1984	Norman Levenberg B. A. Taylor	3
+	On algebraic equations with integral coefficients whose roots belong to a given point set	1955	M. Fekete G. Szeg�	3
+ PDF Chat	Entropy properties of rational endomorphisms of the Riemann sphere	1983	M. Ju. Ljubich	3
+	Canonical heights, transfinite diameters, and polynomial dynamics	2005	Matthew Baker Liang-Chung Hsia	3
+	An arithmetic Riemann-Roch theorem	1992	Henri Gillet Christophe Soul�	3
+	Critical orbits and attracting cycles in p-adic dynamics	2012	Robert L. Benedetto Patrick Ingram Rafe Jones Alon Y. Levy	3
+	Riemann's Zeta Function	1974	Harold M. Edwards	2
+	Canonical Heights on Projective Space	1997	Gregory S. Call Susan Goldstine	2
+	Geometric Theory of Functions of a Complex Variable	1969	G. Goluzin	2
+	Conjugate algebraic integers in real point sets	1964	Raphael M. Robinson	2
+	Some applications of Laplace eigenvalues of graphs	1997	Bojan Mohar	2
+	A characteristic equation associated to an eigenvalue problem on c2-networks	1985	Joachim von Below	2
+ PDF Chat	Groupes de Picard et problèmes de Skolem. I	1989	Laurent Moret-Bailly	2
+	Sur la structure des ensembles de Fatou p-adiques	2004	Juan Rivera‐Letelier	2
+	Lectures on p-adic L-functions	1972	Kenkichi Iwasawa	2