5 citations · 7 across the 8 of their papers we have counts for
8 papers
A chaotic flux cipher based on the random cubic family
Pouya Mehdipour, Alexandre Miranda Alves, Gerardo Honorato +1
This paper presents a symmetric stream cipher that utilizes the dynamic properties of random cubic mappings in the complex plane to generate pseudo-random key streams. The system i…
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…
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…
Extended Cellular Automata
Pouya Mehdipour, Mostafa Salarinoghabi, Paula Gibrim
In this work, the one-dimensional Cellular Automaton is extended to one that involves two sets of symbols and two global rules. As a main result, the Extended Curtis-Hedlund-Lyndon…
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…
On the -generic family of space cusps
Pouya Mehdipour, Mostafa Salarinoghabi
We consider in this paper the -deformations of a family of space curves with codimension . Some geometric aspects of a space curve such as flattenings, vertices and tw…
On The Uniqueness of SRB Measures for Endomorphisms
Pouya Mehdipour
In this paper we improve the results of \cite{MT} and show that a weak hyperbolic transitivity implies the uniqueness of hyperbolic SRB measures. As an important corollary, it aris…
SRB measures and homoclinic relation for Endomorphisms
Pouya Mehdipour, Ali Tahzibi
In this paper we give an upper bound for the number of SRB measures of saddle type of local diffeomorphisms of boundaryless manifolds in terms of maximal cardinality of set of peri…