Year: 2008
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 5 : pp. 36–46
Abstract
Many situations of physical and biological interest involve diffusions on manifolds. It is usually assumed that irregularities in the geometry of these manifolds do not influence diffusions. The validity of this assumption is put to the test by studying Brownian motions on nearly flat 2D surfaces. It is found by perturbative calculations that irregularities in the geometry have a cumulative and drastic influence on diffusions, and that this influence typically grows exponentially with time. The corresponding characteristic times are computed and discussed. Conditional entropies and their growth rates are considered too.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-838
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 5 : pp. 36–46
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Brownian motion stochastic processes on manifolds lateral diffusions.