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一类二维双曲混沌偏微分系统的可观性与观测器     二维双曲混沌  偏微分系统  可观性  观测器       font style='font-size:12px;'> 2023/12/13
This paper is concerned with both observability and observers for a class of systems described by the two-dimensional hyperbolic PDEs with superlinear boundary conditions which can exhibit chaos. The ...
退化双曲面的应变张量及匹配性(姚鹏飞)     退化双曲面  应变张量  匹配性       font style='font-size:12px;'> 2023/2/22
We prove the regularity of solutions to the strain tensor equation on degenerated hyperbolic surfaces $S$ where the Gauss curvature is zero on a part of the boundary. Furthermore, we obtain the densit...
Dynamics on Lorentz manifolds ENSET Oran, November 4-9, 2006     ENSET Oran  Dynamics       font style='font-size:12px;'> 2015/10/14
This course was given at ENSET Oran, November 4-9, 2006. It is an introduction to isometric actions of Lie groups on Lorentz manifolds. Several examples are presented, followed by general defi...
Isometric actions of Heisenberg groups on compact Lorentz manifolds     Heisenberg groupsl  Lorentz manifolds       font style='font-size:12px;'> 2015/10/14
We prove results toward classifying compact Lorentz manifolds on which Heisenberg groups act isometrically. We give a general construction, leading to a new example, of codimension-one actions—those...
Compact Lorentz manifolds with local symmetry     local symmetry  Lorentz manifolds       font style='font-size:12px;'> 2015/10/14
We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, aspherical, real-analytic, complete Lorentz manifold such that the isometry grou...
In this paper we consider questions of the following type. Let k be a base eld and K=k be a eld extension. Given a geometric object X over a eld K (e.g. a smooth curve of genus g) what is the le...
We establish stable ergodicity of diffeomorphisms with partially hyperbolic attractors whose Lyapunov exponents along the central direction are all negative with respect to invariant SRBmeasur...
HYPERBOLIC BILLIARDS AND STATISTICAL PHYSICS     STATISTICAL PHYSICS  HYPERBOLIC BILLIARDS       font style='font-size:12px;'> 2015/9/29
Mathematical theory of billiards is a fascinating subject providing a fertile source of new problems as well as conjecture testing in dynamics, geometry, mathematical physics and spectral theory. Th...
LIMIT THEOREMS FOR HYPERBOLIC SYSTEMS     HYPERBOLIC SYSTEMS  LIMIT THEOREMS       font style='font-size:12px;'> 2015/9/29
One of the major discoveries of the 20th century mathematics is the possibility of random behavior of deterministic systems. There is a hierarchy of chaotic properties for a dynamical systems but on...
We study compact group extensions of hyperbolic diffeomorphisms. We relate mixing properties of such extensions with accessibility properties of their stable and unstable laminations. We show that g...
We show that a smooth compact Riemannian manifold of dimension  2 admits a Bernoulli di eomorphism with nonzero Lyapunov exponents.
LIMIT THEOREMS FOR PARTIALLY HYPERBOLIC SYSTEMS     PARTIALLY HYPERBOLIC SYSTEMS  LIMIT       font style='font-size:12px;'> 2015/9/29
We consider a large class of partially hyperbolic systems containing, among others, ane maps, frame ows on negatively curved manifolds and mostly contracting di eomorphisms. If the rate of mixing ...
Consider a one parameter family of diffeomorphisms fε such that f0 is an Anosov element in a standard abelian Anosov action having sufficiently strong mixing properties. Let νε be any u-...
Recently several new phenomena in dynamics were discovered by looking at small perturbations of compact group extensions of hypebolic systems [8, 14]. In view of this it is desirable to develop a gen...
Proper affine actions and geodesic flows of hyperbolic surfaces     hyperbolic surfaces  geodesic fl  ows       font style='font-size:12px;'> 2015/9/29
Let €0  O.2; 1/ be a Schottky group, and let † D H 2=€0 be the corresponding hyperbolic surface. Let C.†/ denote the space of unit length geodesic currents on †. The cohom...

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