Finite random iterated function systems do not always satisfy Bowen's formula

Yuya Arima

公開日: 2025/9/2

Abstract

In this paper, we provide a finite random iterated function system satisfying the open set condition, for which the random version of Bowen's formula fails to hold. This counterexample shows that analogous results established for random recursive constructions are not always obtained for random iterated function systems.

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