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math.DS2025
Square Entropy and Uniform n-to-1 Bernoulli Transformations
Pouya Mehdipour, Somayeh Jangjooye Shaldehi
In this paper, we define the so-called square entropy and prove that n-to-1 full zip shift maps are intrinsically ergodic. Furthermore, we show that square entropy characterizes un…
math.DS2025
On a bi-lateral Adding Machine and its characterization
Pouya Mehdipour, Rebeca M. S. dos Santos
In this paper, we introduce a bilateral adding machine based on a zip space with two sets of alphabets. We demonstrate that these adding machines are homeomorphisms and provide nec…
math.DS2025
An N-to-1 Smale Horseshoe
Sanaz Lamei, Pouya Mehdipour
In this work we extend the Conley-Moser Theorem for -to-1 local diffeomorphisms. By the aim of some extended symbolic dynamics we encode generalized -to-1 horseshoe maps and…