تقرير
Intermittency on catalysts
| العنوان: | Intermittency on catalysts |
|---|---|
| المؤلفون: | Gaertner, J., Hollander, F. den, Maillard, G. |
| سنة النشر: | 2007 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Probability, Mathematical Physics, 60H25, 82C44 (Primary) 60F10, 35B40 (Secondary) |
| الوصف: | The present paper provides an overview of results obtained in four recent papers by the authors. These papers address the problem of intermittency for the Parabolic Anderson Model in a \emph{time-dependent random medium}, describing the evolution of a ``reactant'' in the presence of a ``catalyst''. Three examples of catalysts are considered: (1) independent simple random walks; (2) symmetric exclusion process; (3) symmetric voter model. The focus is on the annealed Lyapunov exponents, i.e., the exponential growth rates of the successive moments of the reactant. It turns out that these exponents exhibit an interesting dependence on the dimension and on the diffusion constant. Comment: 11 pages, invited paper to appear in a Festschrift in honour of Heinrich von Weizs\"acker, on the occasion of his 60th birthday, to be published by Cambridge University Press |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0706.1171 |
| رقم الأكسشن: | edsarx.0706.1171 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |