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DESTRUCTION OF INVARIANT CURVES IN THE RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM BY USING COMPARISON OF ACTION
INVARIANT CURVES RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM
2015/9/25
The classical principle of least action says that orbits of mechanical systems extremize action; an important subclass are those orbits that minimize action. In this paper we utilize this principle al...
Normally hyperbolic invariant manifolds near strong double resonance
hyperbolic invariant manifolds near strong double resonance
2015/9/25
Normally hyperbolic invariant manifolds near strong double resonance.
Normally Hyperbolic Invariant Laminations and diffusive behaviour for the generalized Arnold example away from resonances
Hyperbolic Invariant Laminations generalized Arnold away from resonances
2015/9/25
In this paper we study existence of Normally Hyperbolic Invariant Laminations (NHIL) for a nearly integrable system given by the product of the pendulum and the rotator perturbed with a small coupling...
NEW EXAMPLES OF S-UNIMODAL MAPS WITH A SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
S-UNIMODAL MAPS SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
2015/9/25
We combine the technique of inducing with a method of Johnson boxes and construct new examples of S-unimodal maps ϕ which do not have a finite absolutely continuous invariant measure, but do have...
Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders
Arnold diffusion arbitrary degrees of freedom crumpled 3-dimensional hyperbolic invariant cylinders
2015/9/25
Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders.
Linked Solenoid Mappings and the Non-Transversality Locus Invariant
Solenoid Mappings Non-Transversality Locus Invariant
2015/8/26
Linked Solenoid Mappings and the Non-Transversality Locus Invariant.
Let f:X\rightarrow X be a dominant meromorphic self-map, where X is a compact, connected complex manifold of dimension n > 1. Suppose there is an embedded copy of \mathbb P^1 that is invariant under f...
Equipartition of a measure by $(Z_p)^k$-invariant fans
Equipartition measure $(Z_p)^k$-invariant fans
2011/2/21
We prove a result about partitioning an absolute continuous measure in Rd into 2d equal parts by a system of cones with common vertex, where d is an odd prime power. The proof is topological and based...
We formulate a notion of "geometric reductivity" in an abstract categorical setting which we refer to as adequacy. The main theorem states that the adequacy condition implies that the ring of invarian...
Rotation sets of invariant separating continua of annular homeomorphisms
annular homeomorphisms math
2010/11/19
Let $f$ be a homeomorphism of the closed annulus $A$ isotopic to the identity, and let $X\subset {\rm Int}A$ be an $f$-invariant continuum which separates $A$ into two domains, the upper domain $U_+$...
A categorification of the stable SU(2) Witten-Reshetikhin-Turaev invariant of links in S2 x S1
the stable SU(2) Witten-Reshetikhin-Turaev invariant links
2010/11/15
The WRT invariant of a link L in S2xS1 at sufficiently high values of the level r can be expresses as an evaluation of a special polynomial invariant of L at 2r-th root of unity. We categorify this p...
Invariant Means, Set Ideals and Separation Theorems
Amenable group Set ideal Cauchy functional equation
2008/6/30
We establish connections between invariant means and set ideals. As an application, we obtain a necessary and sufficient condition for the separation almost everywhere of two functions by an additive ...
We prove the existence of generalized invariant means on some functions spaces which are larger then the space of all bounded functions. Our results are applied to the study of functional inequalities...
The Spread of the Shape Operator as Conformal Invariant
Principal curvatures Shape operator Extrinsic scalar curvature Surfaces of rotation
2008/6/26
The notion the spread of a matrix was first introduced fifty years ago in algebra. In this article, we define the spread of the shape operator by applying the same idea to submanifolds of Riemannian m...