Zigzag diagrams and Martin boundary

Phase transition and Martin boundary

© Springer-Verlag, Berlin Heidelberg New York, 1975, tous droits réservés. L’accès aux archives du séminaire de probabilités (Strasbourg) (http://portail. mathdoc.fr/SemProba/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impressio...

The Max - Plus Martin Boundary

We develop an idempotent version of probabilistic potential theory. The goal is to describe the set of max-plus harmonic functions, which give the stationary solutions of deterministic optimal control problems with additive reward. The analogue of the Martin compactification is seen to be a generalisation of the compactification of metric spaces using (generalised) Busemann functions. We define...

Phase diagrams of the metallic zigzag carbon nanotube

“The author(s), and in the case of a Work Made For Hire, as defined in the U.S. Copyright Act, 17 U.S.C. §101, the employer named [below], shall have the following rights (the “Author Rights”): [...] 3. The right to use all or part of the Article, including the APS-prepared version without revision or modification, on the author(s)’ web home page or employer’s website and to make copies of all ...

The Martin Boundary for Random Walk

On the Martin Boundary for Markov Chains.

wide compared with the length of the specimen, and so is the angle between the lateral edge of the kink band and the axis of extension, E = [sin xo/sin (xi + so) ] 1. (2) For narrow kink bands and deformation bands, (a) an approximate relation is s = cot (900 w); (b) a more precise relation where a and ,3 are the respective angles between the kink-band boundary and the active glide plane in the...