We consider state-dependent channels with general state available at both the encoder and the decoder. We establish the "-capacity and the optimistic "-capacity of such channels. The determination of these capacities allows us to provide a necessary and sufficient condition for the strong converse property to hold. We also provide a simpler sufficient condition on the firstand second-order stat...

Studying the shape of phylogenetic trees under different random models is an important issue in evolutionary biology. In this paper, we propose a general framework for deriving detailed statistical results for patterns in phylogenetic trees under the Yule-Harding model and the uniform model, two of the most fundamental random models considered in phylogenetics. Our framework will unify several ...

In this paper, we revisit two multi-terminal lossy source coding problems: the lossy source coding problem with side information available at the encoder and one of the two decoders, which we term as the Kaspi problem (Kaspi, 1994), and the multiple description coding problem with one semi-deterministic distortion measure, which we refer to as the Fu-Yeung problem (Fu and Yeung, 2002). For the ...

We examine the Bloch-Peierls-Berry dynamics under a classical nonequilibrium dynamical formulation. In this formulation all coordinates in phase space formed by the position and crystal momentum space are treated on equal footing. Explicitly demonstrations of the no (naive) Liouville theorem and of the validity of Darboux theorem are given. The explicit equilibrium distribution function is obta...

Deformable models are an important tool in computer vision. A deformable model is a curve (in two dimensions) or a surface (in three dimensions), whose shape, position, and orientation are controlled through a set of parameters. They can represent manufactured objects, human faces and skeletons, and even bodies of fluid. Deformable models restrict the family of possible solutions in tracking an...