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A block code from an irreducible shift of finite type can be lifted canonically through resolving maps to a resolving map. There is an application to Markovian maps.
Skyrmions, Rational Maps & Scaling Identities
Skyrmions Rational Maps & Scaling Identities
2010/12/28
Starting from approximate Skyrmion solutions obtained using the rational map ansatz, improved approximate Skyrmions are constructed using scaling arguments.Although the energy improvement is small, th...
Systematic method of generating new integrable systems via inverse Miura maps
modified integrable systems Lax representation
2011/3/2
We provide a new natural interpretation of the Lax representation for an integrable system; that is, the spectral problem is the linearized form of a Miura transformation between the original system a...
Hierarchical Gompertzian growth maps with application in astrophysics
Hierarchical Gompertzian growth maps application in astrophysics
2010/12/28
The Gompertz model describes the growth in time of the size of significant quantities associated to a large number of systems, taking into account nonlinearity features by a linear equation satisfied ...
Multi-moment maps
Multi-moment maps
2011/1/20
We introduce a notion of moment map adapted to actions of Lie
groups that preserve a closed three-form. We show existence of our multi-moment maps in many circumstances, including mild topological as...
Rigidity and absence of line fields for meromorphic and Ahlfors islands maps
Holomorphic dynamics Rigidity Meromorphic functions
2011/2/25
In this note, we give an elementary proof of the absence of invariant line fields on the conical Julia set of an analytic function of one variable. This proof applies not only to rational as well as t...
On the pluricanonical maps of varieties of intermediate Kodaira dimension
pluricanonical maps varieties of intermediate Kodaira dimension
2011/2/22
In this paper we will prove a uniformity result for the Iitaka fi-bration f : X ! Y , provided that the generic fiber has a good minimal model and the variation of f is zero.
Spectral degeneracy and escape dynamics for intermittent maps with a hole
Escape rate Pomeau-Manneville maps Perron-Frobenius operators
2011/1/20
We study intermittent maps from the point of view of metastability. Small neighbourhoods of an intermittent fixed point and their complements form pairs of almost-invariant sets.
The purpose of this note is make Theorem 13 in [2] more accessible.Restatements of the theorem already appeared in few of the authors'succeeding works but with no details. We wish in this note to give...
We study the dynamics of Thurston maps under iteration.These are branched covering maps f of 2-spheres S2 with a finite set post(f) of postcritical points.
Maps close to identity and universal maps in the Newhouse domain
Maps close to identity universal maps Newhouse domain
2010/11/30
Given an n-dimensional Cr-diffeomorphism g, its renormalized iteration is an iteration of g, restricted to a certain n-dimensional ball and taken in some Cr-coordinates in which the ball acquires radi...
A General Local-to-Global Principle for Convexity of Momentum Maps
Convexity space momentum map geodesic manifold Lokal-global-Prinzip
2010/12/6
We extend the Local-to-Global-Principle used in the proof of convexity theorems for momentum maps to not necessarily closed maps whose target space carries a convexity structure which need not be base...
We investigate various structures associated with the hyperbolic Markov and homological spectra of a pseudo-Anosov map φ on a surface. Each unstable eigenvalue of the action of φ on first cohomolgy yi...