Systems of branching, annihilating, and coalescing particles
نویسندگان
چکیده
منابع مشابه
On some annihilating and coalescing systems
In the present paper we continue the investigation of the so-called Coalescing Ideal Gas in one dimension, initiated by the rst author in 7]. The model consists of point-like particles moving with velocities 1 which coalesce and chose a fresh velocity with the same distribution, when colliding. In the previous paper 7] various identities in law were derived for the innnitely extended system. In...
متن کاملCoalescing Systems of Non-brownian Particles
A well-known result of Arratia shows that one can make rigorous the notion of starting an independent Brownian motion at every point of an arbitrary closed subset of the real line and then building a set-valued process by requiring particles to coalesce when they collide. Arratia noted that the value of this process will be almost surely a locally finite set at all positive times, and a finite ...
متن کاملA superprocess involving both branching and coalescing
Abstract We consider a superprocess with coalescing Brownian spatial motion. We first prove a dual relationship between two systems of coalescing Brownian motions. In consequence we can express the Laplace functionals for the superprocess in terms of coalescing Brownian motions, which allows us to obtain some explicit results. We also point out several connections between such a superprocess an...
متن کاملDependent double branching annihilating random walk
Double (or parity conserving) branching annihilating random walk, introduced in [19], is a one-dimensional non-attractive particle system in which positive and negative particles perform nearest neighbor hopping, produce two offsprings to neighboring lattice points and annihilate when they meet. Given an odd number of initial particles, positive recurrence as seen from the leftmost particle pos...
متن کاملsynthesis of amido alkylnaphthols using nano-magnetic particles and surfactants
we used dbsa and nano-magnetic for the synthesis of amido alkylnaphtols.
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2012
ISSN: 1083-6489
DOI: 10.1214/ejp.v17-2003