Graph Directed Markov Systems: Hölder Families of Functions and F -Conformal Measures
By R. Daniel Mauldin, Mariusz Urba'nski. 2003
344 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/2f63305b72e254fdc5656108c18190b90282577d
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Citations in the corpus
- Statistical properties of topological Collet–Eckmann maps (2006, methodology): “In Appendix A we gather some general properties of the induced maps considered here, the most important being translations of results of [26] to our particular setting.”
- Non-autonomous conformal iterated function systems and Moran-set constructions (2012, background): “The pioneer work here belongs to Moran [11] and Bowen [1], while Bowen’s formula was proved in [10] for general (possibly infinite) autonomous conformal iterated function systems (and even more generally “graph directed Markov systems”).”
- On Khintchine exponents and Lyapunov exponents of continued fractions (2008, methodology): “For a detailed study on pressure function associated to one potential function, we refer to the works of D. Mayer [32, 33, 34], and for pressure functions associated to two potential functions, we refer to the works of M. Pollicott and H. Weiss [36], of P. Walters [38, 39] and of P. Hanus, R. D. Mau”