Zobrazeno 1 - 10
of 319
pro vyhledávání: '"Bedford, Eric"'
Autor:
Berger, Pierre, Bedford, Eric, Bianchi, Fabrizio, Buff, Xavier, Crovisier, Sylvain, Dinh, Tien-Cuong, Dujardin, Romain, Favre, Charles, Firsova, Tanya, Ingram, Patrick, Ishii, Yutaka, Palmisano, Liviana, Pujals, Enrique, Raissy, Jasmin, Štimac, Sonja, Vigny, Gabriel
We propose a set of questions on the dynamics of H\'enon maps from the real, complex, algebraic and arithmetic points of view.
Comment: 34 pages, 4 figures
Comment: 34 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/2312.03907
Publikováno v:
The Oxford Dictionary of Architecture, 3 rev. ed., 2021.
Externí odkaz:
http://www.oxfordreference.com/view/10.1093/acref/9780191918742.001.0001/acref-9780191918742-e-6299
Autor:
Curl, James Stevens, Wilson, Susan
Publikováno v:
The Oxford Dictionary of Architecture, 3 ed., 2015.
Externí odkaz:
http://www.oxfordreference.com/view/10.1093/acref/9780199674985.001.0001/acref-9780199674985-e-6299
Autor:
Bedford, Eric, Dujardin, Romain
We prove that uniform hyperbolicity is invariant under topological conjugacy for dissipative polynomial automorphisms of C^2. Along the way we also show that a sufficient condition for hyperbolicity is that local stable and unstable manifolds of sadd
Externí odkaz:
http://arxiv.org/abs/2006.02088
Autor:
Bedford, Eric, Kim, Kyounghee
For any polynomial diffeomorphism $f$ of ${\Bbb C}^2$ with positive entropy, neither the Julia set of $f$ nor of its inverse $f^{-1}$ is semi-analytic.
Externí odkaz:
http://arxiv.org/abs/1703.04168
We consider complex Henon maps which are quasi-hyperbolic. We show that a quasi-hyperbolic map is uniformly hyperbolic if and only if there are no tangencies between stable and unstable manifolds.
Externí odkaz:
http://arxiv.org/abs/1601.06268
Autor:
Bedford, Eric, Kim, Kyounghee
For any polynomial diffeomorphism $f$ of $\mathbb{C}^2$ with positive entropy, neither the Julia set of $f$ nor of its inverse $f^{-1}$ is $C^1$ smooth as a manifold-with-boundary.
Externí odkaz:
http://arxiv.org/abs/1506.01456
Autor:
Bedford, Eric, Firsova, Tanya
We give a geometric approach to the proof of the $\lambda$-lemma. In particular, we point out the role pseudoconvexity plays in the proof.
Comment: 2nd version, minor corrections
Comment: 2nd version, minor corrections
Externí odkaz:
http://arxiv.org/abs/1501.04673
Autor:
Bedford, Eric
This essay summarizes the state of the art on some aspects of the dynamics of polynomial diffeomorphsms in complex dimension two, and it presents a number of open questions.
Externí odkaz:
http://arxiv.org/abs/1501.01402