4 citations · 4 across the 7 of their papers we have counts for
7 papers
Lower bounds on non-random fluctuations in planar first passage percolation
Malte Hassler
The fluctuations of the passage time in first passage percolation are of great interest. We show that the non-random fluctuations in planar FPP are at least of order $\sqrt{\log n}…
Diophantine Equations over : Universal Bounds and Parallel Formalization
Jonas Bayer, Marco David, Malte Hassler +2
This paper explores multiple closely related themes: bounding the complexity of Diophantine equations over the integers and developing mathematical proofs in parallel with formal t…
Classification of the limit shape for 1+1-dimensional FPP
Malte Hassler
We introduce a simplified model of planar first passage percolation where weights along vertical edges are deterministic. We show that the limit shape has a flat edge in the vertic…
Hölder continuity of core entropy for non-recurrent quadratic polynomials
Malte Hassler, Dierk Schleicher
We prove that core entropy is Hölder continuous as a function of external angles for a large class of quadratic polynomials that are non-recurrent with respect to angle-doubling, i…
Combinatorial Hubbard trees for postcritically infinite unicritical polynomials and exponential maps
Malte Hassler, Dierk Schleicher
We construct combinatorial Hubbard trees for all unicritical polynomials, and for all exponential maps, for which the critical (singular) value does not escape. More precisely, out…
Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps
Shiping Cao, Malte S. Hassler, Hua Qiu +2
We study the balanced resistance forms on the Julia sets of Misiurewicz-Sierpinski maps, which are self-similar resistance forms with equal weights. In particular, we use a theorem…
Laplacians on Julia sets of rational maps
Malte S. Hassler, Hua Qiu, Robert S. Strichartz
The study of Julia sets gives a new and natural way to look at fractals. When mathematicians investigated the special class of Misiurewicz's rational maps, they found out that ther…