Consider a sequence (η N (t) : t ≥ 0) of continuous-time, irreducible Markov chains evolving on a fixed finite set E, indexed by a parameter N . Denote by R N (η, ξ) the jump rates of the Markov chain η N t , and assume that for any pair of bonds (η, ξ), (η ′ , ξ ′

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We study the hydrodynamic limit of SSEP with slow boundaries on hypercubes in dimension d ≥ 2. The hydrodynamic limit equation is shown to be a heat equation with three different types of boundary conditions according to the slowness of the boundary dynamics. The proof is based on Yau's relative entropy method.

This paper focuses on fingerprint minutia matching algorithm. A special minutia neighbor structure is proposed during the matching process in this algorithm. It can locate fingerprints using the singular from classification information. In addition, minutia structure can be used to save the time of matching minutia in a simple but effective way. Then, the matching of minutia is based on the changeable sized boundary box. At the same time, possible reference position is computed to make sure the algorithm more robust to nonlinear deformation from fingerprint images. Experimental results on Fingerprint verification competition FVC2004 databases show that this algorithm can speed up the matching of fingerprint database with a preferable performance