23 citations · 91 across the 17 of their papers we have counts for
26 papers
Multifractal analysis of Gatzouras--Lalley measures
Thomas Jordan, István Kolossváry, Alex Rutar
We study the multifractal analysis of self-affine measures supported on planar carpets of type Gatzouras--Lalley. We work primarily with Olsen's Hausdorff-dimensional variant of th…
Pressure at infinity and Large Deviations
Godofredo Iommi, Thomas Jordan, Anibal Velozo
We establish level-1 large deviation principles for continuous time suspension flows over countable Markov shifts, a class of non compact dynamical systems. Our results both quanti…
Dimension of ergodic measures projected onto self-similar sets with overlaps
Thomas Jordan, Ariel Rapaport
For self-similar sets on satisfying the exponential separation condition we show that the natural projections of shift invariant ergodic measures is equal to $\min\{1,…
Birkhoff and Lyapunov spectra on planar self-affine sets
Balázs Bárány, Thomas Jordan, Antti Käenmäki +1
Working on strongly irreducible planar self-affine sets satisfying the strong open set condition, we calculate the Birkhoff spectrum of continuous potentials and the Lyapunov spect…
Birkhoff spectrum for piecewise monotone interval maps
Thomas Jordan, Michal Rams
For piecewise monotone interval maps we look at Birkhoff spectra for regular potential functions. This means considering the Hausdorff dimension of the set of points for which the…
Dimensions of equilibrium measures on a class of planar self-affine sets
Jonathan Fraser, Thomas Jordan, Natalia Jurga
We study equilibrium measures (Käenmäki measures) supported on self-affine sets generated by a finite collection of diagonal and anti-diagonal matrices acting on the plane and sati…