WebOct 17, 2024 · 1. There are plenty of families of zero entropy systems which can be either mixing or non-mixing. What comes ot my mind first is primitive substitution systems. … WebThis section discusses fundamental concepts such as Hausdorff dimension, box dimension, and pointwise dimension. 2.1 Hausdorff Measure and sDimension Let W be a set in the separable space Rn, i.e., W ⊂ Rn. The definitions of Hausdorff measure and dimension of W require several preliminary concepts. • A metric d(x,y) is defined on Rn ...
arXiv:math/9905205v1 [math.DS] 1 May 1999
WebJun 10, 2024 · A centered finite difference method is exploited to discretize the spatial variables and leads to a system of the ordinary differential equation, in which the resulting coefficient matrix is complex symmetric and possesses the block Toeplitz structure. WebA large body of work utilises exponential mixtures of distributions (EMDs) for fusion. These mixtures are found by taking the weighted geometric mean of their components followed by scaling to ensure integration to unity. They have been widely used for fusion of single object (probability) distributions [2]. A well-known algorithm that utilises ... phillip levy goulston
Pointwise Dimension -- from Wolfram MathWorld
WebIf fis exponentially mixing with respect to a smooth measure then it is mixing of all orders and also has positive entropy. We note that [27] shows that mixing implies mixing of all … WebPointwise. In mathematics, the qualifier pointwise is used to indicate that a certain property is defined by considering each value of some function An important class of pointwise … WebUniform exponential mixing and resonance free regions for convex cocompact congruence subgroups of SL_2 (Z). (with D. Winter), Journal of the American Mathematical Society, Vol 29 (2016), 1069--1115 ( pdf ) Closed geodesics and holonomies for Kleinian manifolds. tryptophan absorb fluorescent light