Abstract--When 60 years ago Shannon established "A Mathematical Theory of Communication" nobody could know the consequences for science and technology in the second half ...
The abstract mathematical theory of partial differential equations (PDEs) is formulated in terms of manifolds,scalar fields, tensors, and the like, but these algebraic structures a...
Inspired by the drawings of "impossible" objects by artists such as M.C. Escher, we describe a mathematical theory which captures some of the underlying principles of th...
Using the concept of discrete noiseless channels, it was shown by Shannon in A Mathematical Theory of Communication that the ultimate performance of an encoder for a constrained sy...
The paper is devoted to a brief review of a mathematical theory for the branching variance-reduction technique. The branching technique is an extension of von Neumann’s splittin...
Abstract. This paper presents a theory that encompasses both "plenoptic" (microlens based) and "heterodyning" (mask based) cameras in a single frequency-domain ...