Generalized time-invariant overtaking

Generalized shift invariant systems

A countable collection X of functions in L2(IR ) is said to be a Bessel system if the associated analysis operator T ∗ X : L2(IR ) → `2(X) : f 7→ (〈f, x〉)x∈X is well-defined and bounded. A Bessel system is a fundamental frame if T ∗ X is injective and its range is closed. This paper considers the above two properties for a generalized shift-invariant system X. By definition, such a system has t...

Generalized Invariant Imbedding Relation.

Generalized Invexity and Generalized Invariant Monotonicity

In this paper, several kinds of invariant monotone maps and generalized invariant monotone maps are introduced. Some examples are given which show that invariant monotonicity and generalized invariant monotonicity are proper generalizations of monotonicity and generalized monotonicity. Relationships between generalized invariant monotonicity and generalized invexity are established. Our results...

Overtaking VEST

VEST is a set of four stream cipher families submitted by S. O’Neil, B. Gittins and H. Landman to the eSTREAM call for stream cipher proposals of the European project ECRYPT. The state of any family member is made of three components: a counter, a counter diffusor and a core accumulator. We show that collisions can be found in the counter during the IV Setup. Moreover they can be combined with ...

On the Generalized Casson Invariant

The path integral generalization of the Casson invariant as developed by Rozansky and Witten is investigated. The path integral for various three manifolds is explicitly evaluated. A new class of topological observables is introduced that may allow for more effective invariants. Finally it is shown how the dimensional reduction of these theories corresponds to a generalization of the topologica...