Remarks on the Symmetry lie Algebras of first Integrals of Scalar third Order Ordinary Differential Equation with Maximal Symmetry
Remarks on the tightness of cocycles
We prove a generalised tightness theorem for cocycles over an ergodic probability preserving transformation with values in Polish topological groups. We also show that subsequence tightness of cocycles over a mixing probability preserving transformation implies tightness. An example shows that this latter result may fail for cocycles over a mildly mixing probability preserving transformation.
Remarque sur les fonctions ayant le même ensemble de Julia
Reminiscences on science at IHÉS. A problem on homoclinic theory and a brief review
Renormalization of cocycles and linear ODE with almost-periodic coefficients.
Renormalization of exponential sums and matrix cocycles
In this paper, we present a new point of view on the renormalization of some exponential sums stemming from number theory. We generalize this renormalization procedure to study some matrix cocycles arising in spectral problems of quantum mechanics
Repelling periodic points and landing of rays for post-singularly bounded exponential maps
We show that repelling periodic points are landing points of periodic rays for exponential maps whose singular value has bounded orbit. For polynomials with connected Julia sets, this is a celebrated theorem by Douady, for which we present a new proof. In both cases we also show that points in hyperbolic sets are accessible by at least one and at most finitely many rays. For exponentials this allows us to conclude that the singular value itself is accessible.
Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics
Représentation métaplectique
Representation of non-Hamiltonian vector fields in the coordinates of the observer via the isosymplectic geometry.
Représentation par automate de fonctions continues de tore
Soient et un sous-système. est une représentation en base d’une fonction du tore si pour tout point du tore, ses développements en base sont liés par le couplage aux développements en base de . On prouve que si est représentable en base alors , où . Réciproquement, toutes les fonctions de ce type sont représentables en base par un transducteur. On montre finalement que les fonctions du tore qui peuvent être représentées par automate cellulaire sont exclusivement les multiplications...
Representation theorem for stochastic differential equations in Hilbert spaces and its applications.
Representation theory of finite Abelian groups applied to a linear diatomic crystal.
Representations of the Whitehead manifold and Julia sets
Representing real numbers in Möbius number systems
Rescaling of Markov shifts.
Residuality of dynamical morphisms
We present a unified approach to the finite generator theorem of Krieger, the homomorphism theorem of Sinai and the isomorphism theorem of Ornstein. We show that in a suitable space of measures those measures which define isomorphisms or respectively homomorphisms form residual subsets.
Resolvent conditions and powers of operators
We discuss the relation between the growth of the resolvent near the unit circle and bounds for the powers of the operator. Resolvent conditions like those of Ritt and Kreiss are combined with growth conditions measuring the resolvent as a meromorphic function.
Resonant normal form for even periodic FPU chains
Restricted flows and the soliton equation with self-consistent sources.