We consider rapidly mixing dynamical systems and link the decay of shortest distance between multiple orbits with generalized fractal dimension. apply this result to multidimensional expanding maps extend it realm random systems. For sequences, we obtain a relation longest common substring sequences Rényi entropy. Applications Markov chains Gibbs states are given.

We develope a technique to perform e cient and accurate matching to detect the occurence(s) of a template in a scene. The template may describe an object or a textured surface. Representative binary features such as edge points for objects and a set of intensity extrema for textured surfaces are extracted from both test and template images. The search is based on a three-stage \coarsenenal" mat...

Information entropy and its extension, which are important generalizations of entropy, are currently applied to many research domains. In this paper, a novel generalized relative entropy is constructed to avoid some defects of traditional relative entropy. We present the structure of generalized relative entropy after the discussion of defects in relative entropy. Moreover, some properties of t...