Robert L. Benedetto

Geometry and Topology · 2000–2019

A researcher in the Science corpus: 13 papers; trusts 23 researchers and is trusted by 29 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 96 citations into it; #2,011 of 7,422 by trust here, #2,207 by citations
• Mathematical Physics — 79 citations into it; #1,065 of 8,562 by trust here, #975 by citations
• Computational Theory and Mathematics — 38 citations into it; #1,264 of 12,182 by trust here, #2,201 by citations
• Applied Mathematics — 20 citations into it; #882 of 7,620 by trust here, #1,447 by citations
• Algebra and Number Theory — 17 citations into it; #790 of 2,864 by trust here, #1,014 by citations
• Discrete Mathematics and Combinatorics — 13 citations into it
• Artificial Intelligence — 7 citations into it

Whom Robert L. Benedetto trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Liang-Chung Hsia
2. Rafe Jones
3. Dragos Ghioca
4. Jason P. Bell
5. Matthew Baker
6. T. Tucker
7. John J. Benedetto
8. N. Fakhruddin
9. Joseph H. Silverman
10. Shou-wu Zhang

Who trusts Robert L. Benedetto overall

1. Matthew Baker
2. A. Khrennikov
3. Branko Dragovich
4. Laura Demarco
5. Joseph H. Silverman
6. Sergei V. Kozyrev
7. Mattias Jonsson
8. Dragos Ghioca
9. A. Fan
10. Patrick Ingram

Papers from Robert L. Benedetto's perspective

Ordered by how strongly the researchers Robert L. Benedetto trusts endorse each paper. Same corpus, a different order for every researcher.

1. The density of prime divisors in the arithmetic dynamics of quadratic polynomials
2. The dynamical Mordell-Lang problem for étale maps (American Journal of Mathematics)
3. Closure of Periodic Points Over a Non‐Archimedean Field
4. Questions on self maps of algebraic varieties
5. Ergodic properties of rational mappings with large topological degree
6. Distributions in algebraic dynamics
7. Degree growth of meromorphic surface maps
8. Degree-growth of monomial maps (Ergodic Theory and Dynamical Systems)
9. SPECIAL CURVES AND POSTCRITICALLY FINITE POLYNOMIALS (Forum of Mathematics, Pi)
10. The Space of Morphisms on Projective Space

Their papers

• Reduction, Dynamics, and Julia Sets of Rational Functions☆ (2001) — 62 citations
• Hyperbolic maps in p-adic dynamics (2001) — 109 citations
• Components and Periodic Points in Non‐Archimedean Dynamics (2002) — 55 citations
• A wavelet theory for local fields and related groups (2003) — 198 citations
• Examples of wavelets for local fields (2003) — 88 citations
• Dynamics in One Non-Archimedean Variable (2019) — 80 citations
• Current trends and open problems in arithmetic dynamics (2018) — 75 citations
• A case of the dynamical Mordell–Lang conjecture (2012) — 53 citations
• Periods of rational maps modulo primes (2011) — 53 citations
• The Dynamical Mordell-lang Conjecture (2007) — 104 citations
• Heights and preperiodic points of polynomials over function fields (2005) — 61 citations
• Preperiodic points of polynomials over global fields (2005) — 61 citations
• p-Adic Dynamics and Sullivan's No Wandering Domains Theorem (2000) — 66 citations