搜索结果: 1-6 共查到“动力系统 measures”相关记录6条 . 查询时间(0.132 秒)
An important approach to establishing stochastic behavior of dynamical systems is based on the study of systems expanding a foliation and of measures having smooth densities along
the leaves of this ...
Measures of the full Hausdorff dimension for a general Sierpinski carpet
Sofic measure Sierpinski carpet matrix-valued potential Gibbs measure a-weighted thermodynamic formalism
2012/6/21
The measure of the full dimension for a general Sierpi\'{n}ski carpet is studied. In the first part of this study, we give a criterion for the measure of the full Hausdorff dimension of a Sierpi\'{n}s...
Good measures on locally compact Cantor sets
Good measures locally compact Cantor sets Dynamical Systems
2012/4/17
We study the set M(X) of full non-atomic Borel (finite or infinite) measures on a non-compact locally compact Cantor set X. For an infinite measure $\mu$ in M(X), the set $\mathfrak{M}_\mu = \{x \in X...
Skinning measures in negative curvature and equidistribution of equidistant submanifolds
Mixing equidistribution rate of mixing decay of correlation negative curvature
2012/3/1
Let C be a locally convex subset of a negatively curved Riemannian manifold M. We define the skinning measure on the outer unit normal bundle to C in M by pulling back Patterson-Sullivan's measures at...
Invariant Measures with Bounded Variation Densities for Piecewise Area Preserving Maps
Bounded Variation Piecewise Area Preserving Maps Dynamical Systems
2011/8/30
Abstract: We investigate the properties of absolutely continuous invariant probability measures (ACIPs) for piecewise area preserving maps (PAPs) on $\mathbb{R}^d$. This class of maps unifies piecewis...
Extremal ergodic measures and the finiteness property of matrix semigroups
The finiteness property joint/generalized spectral radius extremal probability random product of matrices
2011/8/22
Abstract: Let $\bS=\{S_1,...,S_K\}$ be a finite set of complex $d\times d$ matrices and $\varSigma_{K}^+$ the compact space of all one-sided infinite sequences $i_{\bcdot}\colon\mathbb{N}\rightarrow\{...