2 citations · 8 across the 10 of their papers we have counts for
10 papers
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…
On the finite factorial numbers
Liangang Ma
We introduce two families of transcendental numbers which we call finite factorial (FF) and partially finite factorial (PFF) numbers respectively, with the former one being subfami…
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…
Families of infinite parabolic IFS with overlaps: the approximating method
Liangang Ma
This work is devoted to the study of families of infinite parabolic iterated function systems (PIFS) on a closed interval parametrized by vectors in with overlaps. W…
Counting the Lyapunov inflections in piecewise linear systems
Liangang Ma
Following the pioneering work of Iommi-Kiwi and Jenkinson-Pollicott-Vytnova, we continue to study the inflection points of the Lyapunov spectrum in this work. We prove that for any…
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…
Full dimensional sets of reals whose sums of partial quotients increase in certain speed
Liangang Ma
For a real , let be its continued fraction expansion. Let . The Hausdorff dimensions of the lev…