Gradient flows: in metric spaces and in the space of probability measures, 2008. ,
Affine actions of a free semigroup on the real line, Ergodic Theory Dynam, Systems, vol.26, issue.5, pp.1285-1305, 2006. ,
Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps, Ann. Sci. Éc. Norm. Supér, vol.3075107, issue.4, p.1, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00468102
Iterated random functions, SIAM review, vol.41, issue.1, pp.45-76, 1999. ,
Behavior of the empirical Wasserstein distance in R d under moment conditions, Electron. J. Probab, vol.24, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01847304
On a family of symmetric bernoulli convolutions, Amer. J. Math, vol.61, issue.4, pp.974-976, 1939. ,
On the rate of convergence in Wasserstein distance of the empirical measure, Probab. Theory Related Fields, vol.162, issue.3-4, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00915365
Foundations of quantization for probability distributions, Lecture Notes in Mathematics, vol.1730, issue.2, p.60043, 2000. ,
Implicit renewal theory and tails of solutions of random equations, Ann. Appl. Probab, vol.1, issue.1, p.12, 1991. ,
On self-similar sets with overlaps and inverse theorems for entropy, Ann. Math, vol.180, pp.773-822, 2014. ,
Fractals and self-similarity, Indiana Univ. Math. J, vol.30, issue.5, p.1, 1981. ,
Curvature, concentration and error estimates for Markov chain Monte Carlo, Ann. Probab, vol.38, issue.6, 2010. ,
Projecting the one-dimensional Sierpinski gasket, Israel J. Math, vol.97, pp.221-238, 1997. ,
Random difference equations and renewal theory for products of random matrices, Acta Math, vol.131, issue.1, p.12, 1973. ,
, Empirical measures: regularity is a counter-curse to dimensionality, vol.5, 2018.
, Extensions with shrinking fibers, vol.6, 2018.
On the fine structure of stationary measures in systems which contract-on-average, J. Theoret. Probab, vol.15, issue.3, 2002. ,
Ricci curvature of Markov chains on metric spaces, J. Funct. Anal, vol.256, issue.3, pp.810-864, 2009. ,
Sixty years of bernoulli convolutions, Fractal geometry and stochastics II, vol.1, pp.39-65, 2000. ,
General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium, Phys. Lett. A, vol.245, issue.3-4, 1998. ,
, A review of linear response theory for general differentiable dynamical systems, Nonlinearity, vol.22, issue.4, 2009.
On Furstenberg's intersection conjecture, self-similar measures, and the L q norms of convolutions, Ann. of Math, issue.2, pp.319-391, 2019. ,
On the random series ±? n (an Erd?s problem), Ann. of Math, issue.2, pp.611-625, 1995. ,
Absolute continuity of Bernoulli convolutions for algebraic parameters, J. Amer. Math. Soc, vol.32, issue.2, pp.351-397, 2019. ,
, On the dimension of Bernoulli convolutions for all transcendental parameters, Ann. of Math, issue.2, p.189, 2019.
Grundlehren der Mathematischen Wissenschaften, vol.338, 2009. ,