poster: Self semi-conjugation of Ulam's tent-like map

speaker: Makar Plakhotnyk (Postdoctoral researcher at the University of Sao Paulo, Brazil)

abstract: We consider the self-semi-conjugation of dynamical system, defined on the interval \([0,\, 1]\) by \( x\mapsto 1-
1-2x
\) and consider the same dynamical system, but defined on binary rational numbers of \([0,\, 1]\) with bounded binary power of denominator. We solve the problem of the possibility of continuous continuation of the self-semicinjugation to the entire interval \([0,\, 1]\).

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