科研之友
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摘要
Given a real-valued continuous function f defined on the phase space of a dynamical system, an invariant measure is said to be maximizing if it maximises the integral of f over the set of all invariant measures. Extending results of Bousch, Jenkinson and Bremont, we show that the ergodic maximizing measures of functions belonging to a residual subset of the continuous functions may be characterised as those measures which belong to a residual subset of the ergodic measures.
- 出版日期2010-5
