This paper investigates calculus rules for the limiting Fréchet-subdifferential of infimum value functions of locally Lipschitzian and non-Lipschitzian functions. It is not required that the infimum is attained.

Received (received date) Revised (revised date) Communicated by (Name) The article analyzes similarity of closed polygonal curves with respect to the Fréchet metric, which is stronger than the well-known Hausdorff metric and therefore is more appropriate in some applications. An algorithm is described that determines whether the Fréchet distance between two closed polygonal curves with m and n ...

Connections between Bayesian nonparametric inference and the classes of prob-ability measures with known marginals (Frechet classes) are investigated. Inparticular, a class of Dirichlet processes with parameters proportional to prob-ability measures in a Frechet class will be considered.Relations between two statistical characters are then studied, by presentinga...

The Fréchet distance is a well-known metric to measure similarity of polygonal curves. In the first part of this thesis, we introduce a new metric called Fréchet distance with speed limits and provide efficient algorithms for computing it. The classical Fréchet distance between two curves corresponds to the maximum distance between two point objects that traverse the curves with arbitrary non-n...

1. ip is real-analytic; 2. the rank of <p equals p on an everywhere dense subset of U; 3. (f(U) is closed in V; 4. for each compact subset K C <p(U), there exists a compact subset H C U such that <p(H) = K. Then the composition subalgebra A? = {foip: f e C°°(V)} is closed in C°°(U), when this algebra carries its natural Frechet topology (convergence on compact subsets of the function and all it...