Distilling common randomness from bipartite quantum states
Igor Devetak, Andreas Winter
ISIT 2003
We introduce the concept of a refinable set relative to a family of contractive mappings on a metric space, and demonstrate how such sets are useful to recursively construct interpolants which have a multiscale structure. The notion of a refinable set parallels that of a refinable function, which is the basis of wavelet construction. The interpolation points we recursively generate from a refinable set by a set-theoretic multiresolution are analogous to multiresolution for functions used in wavelet construction. We then use this recursive structure for the points to construct multiscale interpolants. Several concrete examples of refinable sets which can be used for generating interpolatory wavelets are included.
Igor Devetak, Andreas Winter
ISIT 2003
Ligang Lu, Jack L. Kouloheris
IS&T/SPIE Electronic Imaging 2002
Jonathan Ashley, Brian Marcus, et al.
Ergodic Theory and Dynamical Systems
Heinz Koeppl, Marc Hafner, et al.
BMC Bioinformatics