The Experts below are selected from a list of 18 Experts worldwide ranked by ideXlab platform
Carl V Lutzer - One of the best experts on this subject based on the ideXlab platform.
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a C Diffeomorphism of r 2 that has a Cantor set that is a minimal set
2001Co-Authors: William Basener, Carl V LutzerAbstract:We present a C∞ di eomorphism of R 2 that has a Cantor Set that is a minimal Set. The Cantor Set is Contained inside an annulus.
William Basener - One of the best experts on this subject based on the ideXlab platform.
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a C Diffeomorphism of r 2 that has a Cantor set that is a minimal set
2001Co-Authors: William Basener, Carl V LutzerAbstract:We present a C∞ di eomorphism of R 2 that has a Cantor Set that is a minimal Set. The Cantor Set is Contained inside an annulus.
Marsay, David John - One of the best experts on this subject based on the ideXlab platform.
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Germs of Diffeomorphisms and their Taylor expansions
1Co-Authors: Marsay, David JohnAbstract:The thesis examines the relationship between the germ of a C∞ Diffeomorphism f: Rn,0 -• Rn,0 whiCh is tangent to the identity at 0 and its Taylor expansion. The Case in whiCh n is one is already well understood. For n greater than one some normal forms for germs are already known. These are germs with the property that any other germ having the same Taylor expansion is Conjugate to the normal form. Conjugation may be thought of as a Change of variables. The idea is that the Taylor expansion determines what the germ 'looks like'. The above ConCept is extended in the thesis in a new way to deal with the Common situation where the Taylor expansion only partially determines what the germ 'looks like', for example the Taylor expansion may determine what the germ looks like near one axis, but not away from that axis. Examples are given. The importanCe of the extended ConCept is highlighted by a ConstruCtion (using the new idea) of a large Class of germs whiCh do not have normal forms in the old, limited, sense. The theory allows one to study the Centralisers of suCh germs, and to desCribe what their invariant Curves 'look like', for example,’Can the germs be embedded in one-parameter groups, and do they have invariant Curves whiCh may be thought of as graphs of C∞ funCtions
Adrian Jenkins - One of the best experts on this subject based on the ideXlab platform.
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HOLOMORPHIC GERMS AND THE PROBLEM OF SMOOTH CONJUGACY IN A PUNCTURED NEIGHBORHOOD OF THE ORIGIN
2014Co-Authors: Adrian JenkinsAbstract:AbstraCt. We Consider germs of Conformal mappings tangent to the identity at the origin in C. We ConstruCt a germ of a homeomorphism whiCh is a C ∞ Diffeomorphism exCept at the origin Conjugating these holomorphiC germs with the time-one map of the veCtor field V (z) =zm ∂. We then show that, in ∂z the Case m = 2, for a germ of a homeomorphism whiCh is real-analytiC in a punCtured neighborhood of the origin, with real-analytiC inverse, Conjugating these germs with the time-one map of the veCtor field exists if and only if a germ of a biholomorphism exists. 1
Thomas Koberda - One of the best experts on this subject based on the ideXlab platform.
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right angled artin groups in the C Diffeomorphism group of the real line
Israel Journal of Mathematics, 2016Co-Authors: Hyungryul Baik, Sang-hyun Kim, Thomas KoberdaAbstract:We prove that every right-angled Artin group embeds into the C ∞ Diffeomorphism group of the real line. As a Corollary, we show every limit group, and more generally every Countable residually RAAG group, embeds into the C ∞ Diffeomorphism group of the real line.