We investigate the convergence rate of the optimal entropic cost v ε to the optimal transport
cost as the noise parameter ε↓ 0. We show that for a large class of cost functions c on R d× …

The gravitational force controls the evolution of the Universe on several scales. It is
responsible for the formation of galaxies from the primordial matter distribution and the …

We introduce and develope a unifying multifractal framework. The framework developed in
this paper is based on the notion of deformations of empirical measures. This approach …

We prove that the Beurling dimensions of the spectra for a class of Moran spectral measures
are in 0 and their upper entropy dimensions. Moreover, for such a Moran spectral measure …

We study the spectrum of the Fibonacci Hamiltonian and prove upper and lower bounds for
its fractal dimension in the large coupling regime. These bounds show that as λ → ∞,\rm dim …

Transfer matrices and transport for Schrödinger operators Page 1 ANNA L E S D E L’INSTITU
T FO U RIER ANNALES DE L’INSTITUT FOURIER François GERMINET, Alexander …

In this paper, we study the behaviour of the shortest distance between orbits and show that
under some rapidly mixing conditions, the decay of the shortest distance depends on the …

We prove that the quasi-Beurling dimension of the spectra of planar Moran-type Sierpinski
spectral measure μ satisfies an intermediate value property, ie, for any t∈[0, dim‾ e μ], there …

We present an approach to quantum dynamical lower bounds for discrete one-dimensional
Schrödinger operators which is based on power-law bounds on transfer matrices. It suffices …

During the past 10 years multifractal analysis has received an enormous interest. For a
sequence [Formula: see text] of functions φn: X→ M on a metric space X, multifractal …