Acfa and Measurability

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

Higgs studies in ACFA Linear Collider Working Group

We report the important topics in ACFA report[1] as well as the recent progress in the ACFA Higgs working group.

Galois stratification and ACFA

We prove a direct image theorem stating that the direct image of a Galois formula by a morphism of difference schemes is equivalent to a Galois formula modulo the theory ACFA of existentially closed difference fields. As a consequence, we obtain an effective quantifier elimination procedure and a precise algebraic-geometric description of definable sets over existentially closed difference fiel...

Activation of both acfA and acfD transcription by Vibrio cholerae ToxT requires binding to two centrally located DNA sites in an inverted repeat conformation.

The Gram-negative bacterium Vibrio cholerae is the infectious agent responsible for the disease Asiatic cholera. The genes required for V. cholerae virulence, such as those encoding the cholera toxin (CT) and toxin-coregulated pilus (TCP), are controlled by a cascade of transcriptional activators. Ultimately, the direct transcriptional activator of the majority of V. cholerae virulence genes is...

Some model theory of Bezout difference rings- a survey

This survey article is based on a joint work with Ehud Hrushovski on some Bezout difference rings ([19]). We study in a model-theoretic point of view certain classes of difference rings, namely rings with a distinguished endomorphism and more particularly rings of sequences over a field with a shift. First we will recall some results on difference fields. A difference field is a difference ring...