Almost sure multifractal spectrum of Schramm–Loewner evolution
Suppose that η is a Schramm–Loewner evolution (SLE κ) in a smoothly bounded simply
connected domain D⊂ C and that ϕ is a conformal map from D to a connected component …
connected domain D⊂ C and that ϕ is a conformal map from D to a connected component …
Loewner traces driven by Levy processes
E Peltola, A Schreuder - arXiv preprint arXiv:2407.06144, 2024 - arxiv.org
Loewner chains with Levy drivers have been proposed in the physics literature as models
related to random dendritic growth in off-critical systems (and even for diffusion-limited …
related to random dendritic growth in off-critical systems (and even for diffusion-limited …
Dimension transformation formula for conformal maps into the complement of an SLE curve
We prove a formula relating the Hausdorff dimension of a deterministic Borel subset of RR
and the Hausdorff dimension of its image under a conformal map from the upper half-plane …
and the Hausdorff dimension of its image under a conformal map from the upper half-plane …
On integrability and exact solvability in deterministic and stochastic Laplacian growth
I Loutsenko, O Yermolayeva - Mathematical Modelling of Natural …, 2020 - mmnp-journal.org
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 …
boundary problems of fluid mechanics as well as to corresponding problems of statistical …
[PDF][PDF] Logarithmic coefficients and multifractality of whole-plane sle
B Duplantier, XH Ho, TB Le, M Zinsmeister - arXiv preprint arXiv:1504.05570, 2015 - ipht.fr
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) …
MULTIFRACTALITY OF WHOLE-PLANE SLE BERTRAND DUPLANTIER(1), XUAN HIEU HO(2) …
Logarithmic coefficients and generalized multifractality of whole-plane SLE
B Duplantier, XH Ho, TB Le, M Zinsmeister - … in Mathematical Physics, 2018 - Springer
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 …
from the unit disk DD to the slit plane, the derivative moments E (| f'(z) |^ p) E (| f′(z)| p) can …
Complex Generalized Integral Means Spectrum of Drifted Whole-Plane SLE and LLE
B Duplantier, Y Han, C Nguyen, M Zinsmeister - Annales Henri Poincaré, 2024 - Springer
We present new exact results for the complex generalized integral means spectrum (in the
sense of Duplantier et al.(Commun Math Phys 359 (3): 823–868, 2018)) for two kinds of …
sense of Duplantier et al.(Commun Math Phys 359 (3): 823–868, 2018)) for two kinds of …
Stochastic Loewner evolutions, Fuchsian systems and orthogonal polynomials
I Loutsenko, O Yermolayeva - Journal of Physics A: Mathematical …, 2019 - iopscience.iop.org
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 …
spectrum at q= 2 is the maximal real eigenvalue of a three-diagonal matrix. The second …
[PDF][PDF] École doctorale Mathématiques, Informatiques, Physique théorique et Ingéniérie des systèmes Laboratoire: MAPMO
H Zhang - 2018 - theses.univ-orleans.fr
In 1923, the German mathematician Loewner found the Loewner equation when he
managed to solve the Bieberbach conjecture in the univalent function theory, and solved the …
managed to solve the Bieberbach conjecture in the univalent function theory, and solved the …
Some problems about SLE
Y Han - 2017 - theses.hal.science
This thesis focuses on three topics related to the SLE (k) processes. The first part is about
the dipolar SLE (k) process and the conformal restriction measure on the strip; the second …
the dipolar SLE (k) process and the conformal restriction measure on the strip; the second …