Zobrazeno 1 - 10
of 245
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
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
Autor:
Bedford, Eric
We discuss automorphisms and pseudo-automorphisms on blowups of complex projective space with an eye to finding ones with interesting dynamical behavior.
Externí odkaz:
http://arxiv.org/abs/1411.0760
Autor:
Bedford, Eric, Smillie, John
We consider the family of quadratic H\'enon diffeomorphisms of the plane ${\bf R}^2$. A map will be said to be a "horseshoe" if its restriction to the nonwandering set is hyperbolic and conjugate to the full 2-shift. We give a criterion for being a h
Externí odkaz:
http://arxiv.org/abs/1405.1643
We describe an explicit method for constructing pseudo-automorphisms of a space $X$ which is obtained by blowing up points of $P^k$ (or a product $P^k \times \cdots \times P^k$). The centers of blowup are chosen to lie on an elliptic normal curve and
Externí odkaz:
http://arxiv.org/abs/1401.2386