Closure of Periodic Points Over a Non‐Archimedean Field
By Liang-Chung Hsia. 2000
93 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5793d3dedf0b67169c0e8097baba2d0a2d023137
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Robert L. Benedetto
- Laura Demarco
- Matthew Baker
- Joseph H. Silverman
- T. Tucker
- Patrick Ingram
- Michelle Manes
- Rafe Jones
In Mathematical Physics
- Robert L. Benedetto
- Matthew Baker
- T. Tucker
- Laura Demarco
- Michelle Manes
- Rafe Jones
- Lingmin Liao
- Joseph H. Silverman
Citations in the corpus
- p-Adic Dynamics and Sullivan's No Wandering Domains Theorem (2000, background): “Hsia ([10, 11]) has proven some basic properties of non-Archimedean Julia sets and described their relation to weak Nëron models.”
- Components and Periodic Points in Non‐Archimedean Dynamics (2002, background): “Such nonarchimedean maps have in®nitely many Fatou periodic points; but in the complex setting, the number of Fatou periodic cycles is bounded in terms of the degree of f. Hsia [15] noted that even non-archimedean maps with non-empty Julia set may have in®nitely many Fatou periodic cycles; his examp”
- Preperiodic points of polynomials over global fields (2005, methodology): “We refer the reader to [4, 10, 21] for expositions on complex dynamics, and to [5, 6, 8, 17 , 30, 31, 33] for papers exploring various aspects of p-adic dynamics.”
- ON MINIMAL DECOMPOSITION OF p-ADIC POLYNOMIAL DYNAMICAL SYSTEMS (2010, background): “Recently the theory of Non-Archimedean, in particular of p-adic, dynamical systems has been intensively developed ([6, 7, 8], [13], [14], [16], [17], [18], [19, 20], [24], [26], [30], [33], [37], [39]).”
- Canonical heights, transfinite diameters, and polynomial dynamics (2003, background): “More generally, it seems useful to try to put the p-adic theory of polynomial iteration on an equal footing with the complex theory [5, 6, 19, 20, 22].”
- Current trends and open problems in arithmetic dynamics (2018, result): “Hsia [111] proved that Jf ∩ P(1)(Cv) is contained in the closure of all Type I periodic points, but in contrast to the situation over C, a rational map over Cv may have infinitely many non-repeling periodic points.”