Computer simulations of randomly branching polymers: annealed versus quenched branching structures

On Minkowskian Branching Structures

Contrary to its initial idea, Belnap’s (1992) theory of Branching Space-Times (BST) has models in which histories do not resemble relativistic space-times or any other physical space-times. The aim of this paper is to define a certain class of BST models, called ”Minkowskian Branching Structures” (MBS), in which histories are isomorphic to Minkowski space-time. By focusing on these models rathe...

Annealed Moment Lyapunov Exponents for a Branching Random Walk in a Homogeneous Random Branching Environment∗

We consider a continuous-time branching random walk on the lattice Z (d ≥ 1) evolving in a random branching environment. The motion of particles proceeds according to the law of a simple symmetric random walk. The branching medium formed of Markov birth-and-death processes at the lattice sites is assumed to be spatially homogeneous. We are concerned with the long-time behavior of the quenched m...

Image Synthesis for Branching Structures

We present a set of techniques for the synthesis of artificial images that depict branching structures like rivers, cracks, lightning, mountain ranges, or blood vessels. The central idea is to build a statistical model that captures the characteristic bending and branching structure from example images. Then a new skeleton structure is synthesized and the final output image is composed from ima...

An Axiomatization of Well Branching Prime Event Structures an Axiomatization of Well Branching Prime Event Structures

We develop a tense logic for reasoning about the occurrences of events in a sub-class of prime event structures called well branching event structures. The well branching property ensures that two events being in connict can always be traced back | via the causality relation | to two events being in minimal connict. Two events are in minimal connict if they are in connict and their \uniied" pas...

Branching Random Walk in Random Environment: Fully Quenched Case