Théorie de Hovanskii et problème de Dulac.
Théorie des groupoïdes symplectiques
Theory of adaptive adjustment.
There are Two Isotopic Morse-Smale Diffeomorphisms Which Cannot be Joined by Simple Arcs.
Thermodynamic formalism, topological pressure, and escape rates for critically non-recurrent conformal dynamics
We show that for critically non-recurrent rational functions all the definitions of topological pressure proposed in [12] coincide for all t ≥ 0. Then we study in detail the Gibbs states corresponding to the potentials -tlog|f'| and their σ-finite invariant versions. In particular we provide a sufficient condition for their finiteness. We determine the escape rates of critically non-recurrent rational functions. In the presence of parabolic points we also establish a polynomial rate of appropriately...
Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.
Thickness measures for Cantor sets.
Thom polynomials for open Whitney umbrellas of isotropic mappings
A smooth mapping of a smooth n-dimensional manifold L into a smooth 2n-dimensional symplectic manifold (M,ω) is called isotropic if f*ω vanishes. In the last ten years, the local theory of singularities of isotropic mappings has been rapidly developed by Arnol’d, Givental’ and several authors, while it seems that the global theory of their singularities has not been well studied except for the work of Givental’ [G1] in the case of dimension 2 (cf. [A], [Au], [I2], [I-O]). In the present paper,...
Three complexity functions
For an extensive range of infinite words, and the associated symbolic dynamical systems, we compute, together with the usual language complexity function counting the finite words, the minimal and maximal complexity functions we get by replacing finite words by finite patterns, or words with holes.
Three complexity functions
For an extensive range of infinite words, and the associated symbolic dynamical systems, we compute, together with the usual language complexity function counting the finite words, the minimal and maximal complexity functions we get by replacing finite words by finite patterns, or words with holes.
Three complexity functions
For an extensive range of infinite words, and the associated symbolic dynamical systems, we compute, together with the usual language complexity function counting the finite words, the minimal and maximal complexity functions we get by replacing finite words by finite patterns, or words with holes.
Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems.
Three results on mixing shapes.
Thurston unbounded earthquake maps.
Tilings associated with beta-numeration and substitutions.
Tilings associated with non-Pisot matrices
Suppose has a 2-dimensional expanding subspace , satisfies a regularity condition, called “good star”, and has , where is an oriented compound of . A morphism of the free group on is called a non-abelianization of if it has structure matrix . We show that there is a tiling substitution whose “boundary substitution” is a non-abelianization of . Such a tiling substitution leads to a self-affine tiling of with as its expansion. In the last section we find conditions on so...
Time Dependent Stable Diffeomorphisms.
Time in dynamical systems.
Time series models for Earth's crust kinematics
Deterministic and stochastic approach to modeling common trends has been applied to time series of horizontal coordinates of the permanent GPS station Modra – Piesky (recorded weekly during the period of 4 years).
Time series with random parameters [Abstract of thesis]