Karl Löwner (later known as Charles Loewner) introduced his famous differential equation in
1923 to solve the Bieberbach conjecture for series expansion coefficients of univalent …

We complete the mathematical analysis of the fine structure of harmonic measure on SLE
curves that was initiated in Beliaev and Smirnov (Commun Math Phys 290 (2): 577–595 …

We consider a class of radial Levy–Loewner evolutions and compute exactly sets of points
in their average means beta-spectrum. The methods we use originate from our previous …

We review applications of theory of classical and quantum integrable systems to the free-
boundary problems of fluid mechanics as well as to corresponding problems of statistical …

arXiv:1504.05570v1 [math-ph] 21 Apr 2015 Page 1 LOGARITHMIC COEFFICIENTS AND
MULTIFRACTALITY OF WHOLE-PLANE SLE BERTRAND DUPLANTIER(1), XUAN HIEU HO(2) …

It has been shown that for f an instance of the whole-plane SLE unbounded conformal map
from the unit disk DD to the slit plane, the derivative moments E (| f'(z) |^ p) E (| f′(z)| p) can …

We find a wide class of Levy–Loewner evolutions for which the value of integral means beta-
spectrum at q= 2 is the maximal real eigenvalue of a three-diagonal matrix. The second …

Levy-Loewner evolution (LLE) is a generalization of the Schramm-Loewner evolution (SLE)
where the branching is possible in a course of growth process. We consider a class of radial …

The starting point of this thesis is Bieberbach's conjecture: its proof, given by De Branges,
uses two ingredients, namely Loewner's theory of increasing plane domains and an …

Karl Löwner (later known as Charles Loewner) introduced his famous differential equation in
1923 in order to solve the Bieberbach conjecture for series expansion coefficients of …