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Abstract.
For a one-dimensional discrete time system S on the closed unit
interval I we introduce an operator QS, which transforms a
distribution function G into a distribution function 
under the backward operation of S. We study the operator QS for
piecewise linear transformations S and give conditions under which the iterations 
of the distribution function G0 converge
to a QS-invariant distribution function G, which conjugates S
and the corresponding piecewise linear transformation T of constant
slope.
Received: 2011-10-12
Revised: 2012-10-04
Accepted: 2012-11-09
Published Online: 2013-10-11
Published in Print: 2013-12-01
© 2013 by Walter de Gruyter Berlin Boston
