Dynamics in one non-archimedean variable
WebMar 5, 2024 · Let f : P 1 → P 1 be a map of degree > 1 defined over a function field k = K ( X ), where K is a number field and X is a projective curve over K . For each point a ∈ P … WebApr 20, 1990 · These notes study the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the …
Dynamics in one non-archimedean variable
Did you know?
WebDynamics in One Non-Archimedean Variable Robert L. Benedetto Publication Year: 2024 ISBN-10: 1-4704-4688-X ISBN-13: 978-1-4704-4688-8. This page is maintained by the author. Contact information: Robert L. Benedetto Department of Mathematics & Statistics Amherst College Amherst, MA 01002-5000 WebAbeBooks.com: Dynamics in One Non-archimedean Variable (Graduate Studies in Mathematics) (9781470446888) by Robert L. Benedetto and a great selection of similar New, Used and Collectible Books available now at great prices.
WebAug 9, 2024 · 2.1 p-adic Mathematical Physics. Hermann Weyl is quoted with saying in Philosophie der Mathematik und Naturwissenschaft 1927, p. 36: As a matter of fact, it is by no means impossible to build up a consistent “non-Archimedean” theory of magnitudes in which the axiom of Eudoxus (usually named after Archimedes) does not hold []. Indeed … WebIn non-archimedean dynamics, however, there are several diffi- ... Later, we will regard them as two-variable function with respect to x and y. Example 2.4. In relation to the above functions, the following one is also important; for any ζ ∈ …
WebK be a complete and algebraically closed non-archimedean eld and let R 2C K(z) be a rational function, the iterates of R de ne a dynamical system over the projective space P(C ... R. L. Dynamics in one non-archimedean variable. Graduate Studies in Mathematics, 198. American Mathematical Society, 2024. WebThe theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth century, concerns the iteration of a rational function acting on the Riemann …
WebDec 4, 2024 · A non-archimedean. -lemma. We provide a framework for studying the dynamics of families of one-variable rational functions parametrized by Berkovich spaces over a complete non-archimedean field. We prove a non-archimedean analogue of Mañé, Sad, and Sullivan's -Lemma and use this to show an equivalence of two stability …
WebAug 6, 2015 · Combined with our former archimedean version, this non-archimedean quantitative approximation allows us to show: - a quantified version of Silverman's and Ingram's recent comparison between the ... on off glassWebSelect search scope, currently: catalog all catalog, articles, website, & more in one search; catalog books, media & more in the Stanford Libraries' collections; articles+ journal … in which tv fingertip web serial playedWebThe theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth century, concerns the iteration of a rational function acting on the Riemann sphere. Building on foundational investigations of p-adic dynamics in the late twentieth century, dynamics in one non-archimedean variable is the analogous theory over ... on off globe valveWebJun 20, 2024 · We provide a framework for studying the dynamics of families of one-variable rational functions parametrized by Berkovich spaces over a complete non-archimedean field. We prove a non-archimedean ... onoff golf mattersWebJohn Milnor, Dynamics in One Complex Variable, Third Edition Thomas Ransford, Potential Theory in the Complex Plane . Arithmetic textbooks: Joseph Silverman, The … onoffgolfmatters co krWebApr 30, 2024 · Book Depository is the world's most international online bookstore offering over million books with free delivery worldwide. onoff gmbhWebDynamics in One Non-Archimedean Variable RobertL. Benedetto American Mathematical Society Providence,RhodeIsland. Contents List ofNotation xiii Preface xvii Introduction 1 … in which tv show does sam heughan star