170,342 research outputs found
L'élément hourrite dans la Syrie du Nord (c. 1350-1200)
No full textLiverani Mario. L'élément hourrite dans la Syrie du Nord (c. 1350-1200). In: Revue hittite et asianique, Tome 36, 1978. pp. 149-156
Birth of an elliptic island in a chaotic sea
No full textI consider a one parameter family of area preserving smooth maps that
cross a non-uniformly hyperbolic situation into an elliptic
one. I prove that exponentially close to such a family there
are maps with positive metric entropy
Multidimensional expanding maps with singularities: a pedestrian approach
No full textI provide a proof of the existence of absolutely continuous invariant measures (and study their statistical properties) for multidimensional piecewise expanding systems with not necessarily bounded derivative or distortion. The proof uses basic properties of multidimensional BV functions (the space of functions of bounded variations)
TRANSPORT IN PARTIALLY HYPERBOLIC FAST-SLOW SYSTEMS
No full textI will discuss, from a dynamical systems point of view, some recent attempts to
rigorously derive the macroscopic laws of transport (e.g. the heat equation) from
deterministic microscopic dynamics
A FOOTNOTE ON EXPANDING MAPS
No full textI introduce Banach spaces on which it is possible to precisely characterize the spectrum of the transfer operator associated to a piecewise expanding map with Holder weight
On Contact Anosov flows
No full textExponential decay of correlations for \Co^{(4)} Contact Anosov flows is
established. This implies, in particular, exponential decay of
correlations for all smooth geodesic flows in strictly negative curvature
Statistical properties of mostly contracting fast-slow partially hyperbolic systems
No full textWe consider a class of C
4 partially hyperbolic systems on T
2 described
by maps Fε(x, θ) = (f(x, θ), θ + εω(x, θ)) where f(·, θ) are expanding
maps of the circle. For sufficiently small ε and ω generic in an open set, we
precisely classify the SRB measures for Fε and their statistical properties, including
exponential decay of correlation for H¨older observables with explicit
and nearly optimal bounds on the decay rate
Rigorous numerical investigation of the statistical properties of piecewise expanding maps. A feasibility study
No full textI explore the concrete applicability of recent theoretical results to the rigorous computation of relevant statistical properties of a simple class of dynamical systems: piecewise expanding maps
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