Martin boundary for $\Delta -P$

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...

Martin boundary for some symmetric Lévy processes

In this paper we study the Martin boundary of open sets with respect to a large class of purely discontinuous symmetric Lévy processes in R. We show that, if D ⊂ R is an open set which is κ-fat at a boundary point Q ∈ ∂D, then there is exactly one Martin boundary point associated with Q and this Martin boundary point is minimal. AMS 2010 Mathematics Subject Classification: Primary 60J50, 31C40;...

Phase transition and Martin boundary

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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...