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5 papers · 2 filters
Finite and infinite degree Thurston maps with extra marked points
Nikolai Prochorov
We investigate the family of marked Thurston maps that are defined everywhere on the topological sphere , potentially excluding at most countable closed set of essential singu…
Finite and infinite degree Thurston maps with a small postsingular set
Nikolai Prochorov
We develop the theory of Thurston maps that are defined everywhere on the topological sphere with a possible exception of a single essential singularity. We establish an anal…
Coboundaries and eigenvalues of morphic subshifts
Paul Mercat
We define a morphic subshift as a subshift generated by the image of a substitution subshift by another substitution. In other words, it is the subshift associated with a ultimatel…
Deviations for generalized tiling billiards in cyclic polygons
Magali Jay
This work continues the study of tiling billiards, a class of dynamical system introduced by Davis et al. in 2018. We develop the study of generalized tiling billiards in a cyclic…
Interval maps with dense periodicity
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
We consider the class of interval maps with dense set of periodic points CP and its closure Cl(CP) equipped with the metric of uniform convergence. Besides studying basic topologic…