5 papers
Rigidity of pressures of Hölder potentials and the fitting of analytic functions via them
Liangang Ma, Mark Pollicott
The first part of this work is devoted to the study of higher differentials of pressure functions of Hölder potentials on shift spaces of finite type. By describing the differentia…
Continuity of measure-dimension mappings
Liangang Ma
We study continuity and discontinuity of the upper and lower (modified) box-counting, Hausdorff, packing, (modified) correlation measure-dimension mappings under the weak, setwise…
Sequential convergence on the space of Borel measures
Liangang Ma
We study equivalent descriptions of the vague, weak, setwise and total-variation (TV) convergence of sequences of Borel measures on metrizable and non-metrizable topological spaces…
Topological description of the Borel probability space
Liangang Ma
We study properties of some popular topology on the space of Borel probabilities on a topological ambient space in this paper. We show that the two types of popular vague topology…
On the Hausdorff dimensions of exploding measures originated from IFS
Liangang Ma
We study continuity and discontinuity properties of some popular measure-dimension mappings under some topologies on the space of probability measures in this work. We give example…