Add to ORKGIn this paper we consider local centralizer classification and rigidity of some toral automorphisms. In low dimensions we classify up to finite index possible centralizers for volume preserving diffeomorphisms $f$ $C^{1}-$close to an ergodic irreducible toral automorphism $L$. Moreover, we show a rigidity result in the case that the centralizer of $f$ is large: If the smooth centralizer $Z^{\infty}(f)$ is virtually isomorphic to that of $L$ then $f$ is $C^{\infty}-$conjugate to $L$. In higher dimensions we show a similar rigidity result for certain irreducible toral automorphisms. We also classify up to finite index all possible centralizers for symplectic diffeomorphisms $C^{5}-$close to a class of irreducible symplectic automorphisms on t...
The main results of this thesis provide smooth classification of large classes of perturbations of ...
A question whether sufficiently regular manifold automorphisms may have wandering domains with contr...
Let $G$ be a torsion-free hyperbolic group and $\alpha$ an automorphism of $G$. We show that there e...
In this paper, we study the centralizer of a partially hyperbolic diffeomorphism on $\mathbb{T}^3$ w...
We study the regularity of a conjugacy $H$ between a hyperbolic toral automorphism $A$ and its smoot...
We study topological properties of automorphisms of a 6-dimensional torus generated by integer matri...
We show that every codimension one partially hyperbolic diffeomorphism must support on $\mathbb{T}^{...
We introduce a notion of autonomous dynamical systems and apply it to prove rigidity of partially hy...
In this paper, we prove centralizer rigidity near an element of the Weyl chamber flow on a semisimpl...
Given any compact manifold M, we construct a non-empty open subset O of the space of C^1-diffeomorph...
We introduce the notion of a point on a locally closed subset of a symplectic manifold being "locall...
The universal centralizer of a semisimple algebraic group is the family of centralizers of regular e...
A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on $H^2(M)$ ...
In this article we generalize a theorem by Palais on the rigidity of compact group actions to cotang...
In this paper we introduce a new methodology for smooth rigidity of Anosov diffeomorphisms based on ...
The main results of this thesis provide smooth classification of large classes of perturbations of ...
A question whether sufficiently regular manifold automorphisms may have wandering domains with contr...
Let $G$ be a torsion-free hyperbolic group and $\alpha$ an automorphism of $G$. We show that there e...
In this paper, we study the centralizer of a partially hyperbolic diffeomorphism on $\mathbb{T}^3$ w...
We study the regularity of a conjugacy $H$ between a hyperbolic toral automorphism $A$ and its smoot...
We study topological properties of automorphisms of a 6-dimensional torus generated by integer matri...
We show that every codimension one partially hyperbolic diffeomorphism must support on $\mathbb{T}^{...
We introduce a notion of autonomous dynamical systems and apply it to prove rigidity of partially hy...
In this paper, we prove centralizer rigidity near an element of the Weyl chamber flow on a semisimpl...
Given any compact manifold M, we construct a non-empty open subset O of the space of C^1-diffeomorph...
We introduce the notion of a point on a locally closed subset of a symplectic manifold being "locall...
The universal centralizer of a semisimple algebraic group is the family of centralizers of regular e...
A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on $H^2(M)$ ...
In this article we generalize a theorem by Palais on the rigidity of compact group actions to cotang...
In this paper we introduce a new methodology for smooth rigidity of Anosov diffeomorphisms based on ...
The main results of this thesis provide smooth classification of large classes of perturbations of ...
A question whether sufficiently regular manifold automorphisms may have wandering domains with contr...
Let $G$ be a torsion-free hyperbolic group and $\alpha$ an automorphism of $G$. We show that there e...