Thermodynamic Formalism and Multifractal Analysis of Conformal Infinite Iterated Function Systems

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Multifractal analysis of Birkhoff averages for countable Markov maps (2010, background): “There have also been several articles on multifractal analysis in the countable state case, see for example [7, 11, 13, 20].”
A multifractal analysis for Stern-Brocot intervals, continued fractions and Diophantine growth rates (2005, background): “Analytic Properties of Pressure ([9]).”
Quantization dimension for conformal iterated function systems (2002, methodology): “Our notation and assumptions are taken from [ 6 ].”
Multifractal formalism for self-similar measures with weak separation condition (2009, methodology): “The formalism has been verified to hold for many natural measures, including for example, Gibbs measures [33,32], weak Gibbs measures [15,40], quasi-Bernoulli measures [2,18,1], and in particular, self-similar measures satisfying the well-known open set condition [3,29] (see also [6,8,34,25,17]).”
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”