On Mitchell's embedding theorem for a quasi-schemoid

A Note on Dilworth's Embedding Theorem

The dimension of a poset X is the smallest positive integer t for which there exists an embedding of X in the cartesian product of t chains. R. P. Dilworth proved that the dimension of a distributive lattice v L = 2_ is the width of X. In this paper we derive an analogous result for embedding distributive lattices in the cartesian product of chains of bounded length. We prove that for each k > ...

A subgaussian embedding theorem

We prove a subgaussian extension of a Gaussian result on embedding subsets of a Euclidean space into normed spaces. Using the concentration of a random subgaussian vector around its mean we obtain an isomorphic (rather than almost isometric) result, under an additional cotype assumption on the normed space considered.

A Mean Ergodic Theorem For Asymptotically Quasi-Nonexpansive Affine Mappings in Banach Spaces Satisfying Opial's Condition

A Quasi-isometric Embedding Algorithm

The Whitney embedding theorem gives an upper bound on the smallest embedding dimension of a manifold. If a data set lies on a manifold, a random projection into this reduced dimension will retain the manifold structure. Here we present an algorithm to find a projection that distorts the data as little as possible.

A Quasi-invariance Theorem for Measures on Banach Spaces

We show that for a measure -y on a Banach space directional different ¡ability implies quasi-translation invariance. This result is shown to imply the Cameron-Martin theorem. A second application is given in which 7 is the image of a Gaussian measure under a suitably regular map.