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Friday, January 27, 2023 - 14:15 in V3-204


Random Substitutions in higher dimensions

A talk in the Mathematik in den Naturwissenschaften series by
Bryan Ceasar Felipe from Ateneo de Manila

Abstract: We present a generalization of random substitutions to higher dimensions. In particular, we define a randmom version of the rectangular-preserving substitutions and digit substitutions. We then discuss the associated subshifts with these random substitutions and present some dynamical properties of these systems by generalizing previous results on one-dimensional random substitutions. Moreover, we talk about the existence of peridodic points in the subshifts associated with rectangular-preserving random substitutions.

Joint work with Eden D. Miro.

Within the CRC this talk is associated to the project(s): A6



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