4 papers · 1 filter
On the n-matings of polynomials
Liangang Ma
We introduce the notion of n-mating in this work, which includes the classical mating of polynomials as a special case. The new notion brings further links between the polynomial w…
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…
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…