Quantitative approximations of the Lyapunov exponent of a rational function over valued fields-Reference-Cited by-同舟云学术

Quantitative approximations of the Lyapunov exponent of a rational function over valued fields

Published:2015-03-12 Issue:3-4 Volume:280 Page:691-706
ISSN:0025-5874
Container-title:Mathematische Zeitschrift
language:en
Short-container-title:Math. Z.

Author:

Okuyama Yûsuke

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00209-015-1443-6.pdf

Reference27 articles.

1. Apostol, T.M.: Introduction to Analytic Number Theory. Springer, Berlin (1976)

2. Baker, M.: A finiteness theorem for canonical heights attached to rational maps over function fields. Journal für die reine und angewandte Mathematik (Crelles Journal) 626, 205–233 (2009)

3. Baker, M.H., Rumely, R.: Equidistribution of small points, rational dynamics, and potential theory. Ann. Inst. Fourier (Grenoble) 56(3), 625–688 (2006)

4. Baker, M., Rumely, R.: Potential Theory and Dynamics on the Berkovich Projective Line Vol. 159 of Mathematical Surveys and Monographs. American Mathematical Society, Providence (2010)

5. Benedetto, R.: Non-archimedean dynamics in dimension one: lecture notes, Preprint. http://math.arizona.edu/~swc/aws/2010/ (2010)

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Approximation of non-archimedean Lyapunov exponents and applications over global fields;Transactions of the American Mathematical Society;2020-10-05

2. On a Characterization of Polynomials Among Rational Functions in Non-Archimedean Dynamics;Arnold Mathematical Journal;2020-08-13

3. Hyperbolic components of rational maps: Quantitative equidistribution and counting;Commentarii Mathematici Helvetici;2019-04-17

4. Lower bounds for non-Archimedean Lyapunov exponents;Transactions of the American Mathematical Society;2019-02-01

5. Continuity of the Green function in meromorphic families of polynomials;Algebra & Number Theory;2018-10-06