Unique ergodicity for certain random translations
Authors: Benton Jamison and Robert Sine
Journal: Proc. Amer. Math. Soc. 75 (1979), 73-74
MSC: Primary 28C10; Secondary 60J15
MathSciNet review: 529216
Abstract: Spatially dependent convex combinations of a pair of irrationally related translations on R are shown to admit at most one invariant probability. The only condition on the coefficient functions is measurability and essential positivity.
Keywords: Invariant probability, unique ergodicity, Markov operator, random ergodic theory, learning model
Article copyright: © Copyright 1979 American Mathematical Society