q-Deformed Brownian Motion
High Energy Physics - Theory
2009-10-22 v1 Probability
Abstract
Brownian motion may be embedded in the Fock space of bosonic free field in one dimension.Extending this correspondence to a family of creation and annihilation operators satisfying a q-deformed algebra, the notion of q-deformation is carried from the algebra to the domain of stochastic processes.The properties of q-deformed Brownian motion, in particular its non-Gaussian nature and cumulant structure,are established.
Keywords
Cite
@article{arxiv.hep-th/9303141,
title = {q-Deformed Brownian Motion},
author = {V. I. Man'ko and R. Vilela Mendes},
journal= {arXiv preprint arXiv:hep-th/9303141},
year = {2009}
}
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6 pages