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Theory of continuum random walks and application to chemotaxis

✍ Scribed by Schnitzer, Mark J.

Book ID
121652811
Publisher
The American Physical Society
Year
1993
Tongue
English
Weight
637 KB
Volume
48
Category
Article
ISSN
1063-651X

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We study the singular limit of a class of reinforced random walks on a lattice for which a complete analysis of the existence and stability of solutions is possible. We show that at a sufficiently high total density, the global minimizer of a lattice 'energy' or Lyapunov functional corresponds to ag