Eötvös Loránd University

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20032005

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math.DS2005

Absolute continuity for random iterated function systems with overlaps

Yuval Peres, Károly Simon, Boris Solomyak

We consider linear iterated function systems with a random multiplicative error on the real line. Our system is ${x \mapsto d_{i} + λ_{i} Y x}_{i = 1}^{m}$ , where $d_{i} \in R$ and $λ_{i} > 0$ …

math.DS2003★ 2 cited

An $L^{1}$ counting problem in ergodic theory

Idris Assani, Zoltan Buczolich, Daniel Mauldin

We solve the following counting problem for measure preserving transformations. For $f \in L_{+}^{1} (μ)$ , is it true that $\ds \sup_n\frac{\bN_n(f)(x)}{n} <\infty,$ where $$\ds\bN_n(f)(…

Absolute continuity for random iterated function systems with overlaps

An L1 counting problem in ergodic theory

An $L^{1}$ counting problem in ergodic theory