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In the context of self-stabilizing processes, that is processes attracted by their own law, living in a potential landscape, we investigate different properties of the invariant measures. The interaction between the process and its law leads to nonlinear stochastic differential equations. In [S. Herrmann and J. Tugaut. 15 (2010) 2087–2116], the authors proved that, for linear interaction and under suitable conditions, there exists a unique symmetric limit measure associated to the set of invariant...
In the context of self-stabilizing processes, that is processes attracted by their own
law, living in a potential landscape, we investigate different properties of the invariant
measures. The interaction between the process and its law leads to nonlinear stochastic
differential equations. In [S. Herrmann and J. Tugaut.
(2010) 2087–2116], the authors proved that, for linear
interaction and under suitable conditions, there exists a unique symmetric...
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