The Experts below are selected from a list of 861 Experts worldwide ranked by ideXlab platform
Michael P. Cohen - One of the best experts on this subject based on the ideXlab platform.
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Some applications of Hölder’s theorem in groups of Analytic Diffeomorphisms of 1-manifolds
2015Co-Authors: Azer Akhmedov, Michael P. CohenAbstract:ABSTRACT: We obtain a simple obstruction to embedding groups into the Analytic Diffeomorphism groups of 1-manifolds. Using this, we classify all RAAGs which embed into Diffω+(S1). We also prove that a branch group does not embed into Diffω+(S1). 1
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Some applications of Hölder's theorem in groups of Analytic Diffeomorphisms of 1-manifolds
Topology and its Applications, 2015Co-Authors: Azer Akhmedov, Michael P. CohenAbstract:Abstract We obtain a simple obstruction to embedding groups into the Analytic Diffeomorphism groups of 1-manifolds. Using this, we classify all RAAGs which embed into Diff + ω ( S 1 ) . We also prove that a branch group does not embed into Diff + ω ( S 1 ) .
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Some applications of H\"older's theorem in groups of Analytic Diffeomorphisms of 1-manifolds
arXiv: Group Theory, 2014Co-Authors: Azer Akhmedov, Michael P. CohenAbstract:We obtain a simple obstruction to embedding groups into the Analytic Diffeomorphism groups of 1-manifolds. Using this, we classify all RAAGs which embed into $\mathrm{Diff}_{+}^{\omega }(\mathbb{S}^1)$. We also prove that a branch group does not embed into $\mathrm{Diff}_{+}^{\omega }(\mathbb{S}^1)$.
Helge Glöckner - One of the best experts on this subject based on the ideXlab platform.
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Invariant manifolds for finite-dimensional non-archimedean dynamical systems
arXiv: Dynamical Systems, 2014Co-Authors: Helge GlöcknerAbstract:Let M be an Analytic manifold modelled on an ultrametric Banach space over a complete ultrametric field. Let f be an Analytic Diffeomorphism from M onto itself and p be a fixed point of f. We discuss invariant manifolds around p, like stable manifolds, centre-stable manifolds and centre manifolds, with an emphasis on results specific to the case that M has finite dimension. The results have applications in the theory of Lie groups over totally disconnected local fields.
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Invariant manifolds for Analytic dynamical systems over ultrametric fields
Expositiones Mathematicae, 2013Co-Authors: Helge GlöcknerAbstract:Abstract We give an exposition of the theory of invariant manifolds around a fixed point, in the case of time-discrete, Analytic dynamical systems over a complete ultrametric field K . Typically, we consider an Analytic manifold M modelled on an ultrametric Banach space over K , an Analytic Diffeomorphism f : M → M , and a fixed point p of f . Under suitable assumptions on the tangent map T p ( f ) , we construct a centre–stable manifold, a centre manifold, respectively, an a -stable manifold around p , for a given real number a ∈ ] 0 , 1 ] .
James A. Vickers - One of the best experts on this subject based on the ideXlab platform.
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The Hausdorff Dimension of Exceptional Sets Associated with Normal Forms
Journal of the London Mathematical Society, 1994Co-Authors: M. M. Dodson, Bryan P. Rynne, James A. VickersAbstract:The Hausdorff dimension is obtained for exceptional sets associated with linearising a complex Analytic Diffeomorphism near a fixed point, and for related exceptional sets associated with obtaining a normal form of an Analytic vector field near a singular point. The exceptional sets consist of eigenvalues which do not satisfy a certain Diophantine condition and are 'close' to resonance. They are related to 'lim-sup' sets of a general type arising in the theory of metric Diophantine approximation and for which a lower bound for the Hausdorff dimension has been obtained.
Azer Akhmedov - One of the best experts on this subject based on the ideXlab platform.
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Some applications of Hölder’s theorem in groups of Analytic Diffeomorphisms of 1-manifolds
2015Co-Authors: Azer Akhmedov, Michael P. CohenAbstract:ABSTRACT: We obtain a simple obstruction to embedding groups into the Analytic Diffeomorphism groups of 1-manifolds. Using this, we classify all RAAGs which embed into Diffω+(S1). We also prove that a branch group does not embed into Diffω+(S1). 1
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Some applications of Hölder's theorem in groups of Analytic Diffeomorphisms of 1-manifolds
Topology and its Applications, 2015Co-Authors: Azer Akhmedov, Michael P. CohenAbstract:Abstract We obtain a simple obstruction to embedding groups into the Analytic Diffeomorphism groups of 1-manifolds. Using this, we classify all RAAGs which embed into Diff + ω ( S 1 ) . We also prove that a branch group does not embed into Diff + ω ( S 1 ) .
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Some applications of H\"older's theorem in groups of Analytic Diffeomorphisms of 1-manifolds
arXiv: Group Theory, 2014Co-Authors: Azer Akhmedov, Michael P. CohenAbstract:We obtain a simple obstruction to embedding groups into the Analytic Diffeomorphism groups of 1-manifolds. Using this, we classify all RAAGs which embed into $\mathrm{Diff}_{+}^{\omega }(\mathbb{S}^1)$. We also prove that a branch group does not embed into $\mathrm{Diff}_{+}^{\omega }(\mathbb{S}^1)$.
Costanzo Manes - One of the best experts on this subject based on the ideXlab platform.
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Two families of semiglobal state observers for Analytic discrete-time systems
Automatica, 2012Co-Authors: Alfredo Germani, Costanzo ManesAbstract:Two families of observers for discrete-time nonlinear systems are presented in this paper, whose design is based on the Taylor approximation of the inverse of the observation map. Semiglobal convergence results are provided under the assumption that the system observation map is a globally Analytic Diffeomorphism. The performances of the observers in the two families are compared both from theoretical and practical points of view.
