On the mean value of probability measures on circular graphs |
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Authors: | Volkmar Liebscher Sebastian Walcher |
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Affiliation: | 1. Institut für Biomathematik und Biometrie, GSF-Forschungszentrum, Postfach 1129, 85758, Neuherberg, Germany 2. Zentrum Mathematik, TU München, 80290, München, Germany
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Abstract: | We introduce and discuss a class of difference equations motivated by a problem from combinatorial optimization on graphs. The local behavior at stationary points is investigated in detail, and in the course of this investigation we prove a stability result for certain types of non-isolated stationary points. Results include a complete characterization of the behavior on chain graphs, and a characterization of the local behavior for circular graphs. |
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