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math.PR2024
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…
math.DS2024
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…
math.DS2024
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…