Farrukh Mukhamedov, Hasan Akin
Published 2014-02-18Version 1
In the present paper we study stability of recurrence equations (which in particular case contain a dynamics of rational functions) generated by contractive functions defined on an arbitrary non-Archimedean algebra. Moreover, multirecurrence equations are considered. We also investigate reverse recurrence equations which have application in the study of $p$-adic Gibbs measures. Note that our results also provide the existence of unique solutions of nonlinear functional equations as well.
On chaotic behavior of the $P$-adic generalized Ising mapping and its application
Periodic $p$-adic Gibbs measures of $q$-states Potts model on Cayley tree: The chaos implies the vastness of $p$-adic Gibbs measures
An Application of Topological Multiple Recurrence to Tiling
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