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Far East Journal of Dynamical Systems

Abstract:
Let h be a topological conjugacy between the tent map t and a generalized tent map

We show the non-absolute-continuity of h with respect to the Lebesgue measure m. Namely, we proved that (1)

has only two values 0 and ¥, (2)

on a dense set

with

(3)

on a dense set

with

(4)

and

Keywords and phrases: tent map, conjugacy, non-absolute-continuity.

Number of Downloads: 243 | Number of Views: 641

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P-ISSN: 0972-1118

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