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 …
The coefficient problem and multifractality of whole-plane SLE & LLE
B Duplantier, C Nguyen, N Nguyen… - Annales Henri Poincaré, 2015 - Springer
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 …
1923 to solve the Bieberbach conjecture for series expansion coefficients of univalent …
Average harmonic spectrum of the whole-plane SLE
I Loutsenko, O Yermolayeva - Journal of Statistical Mechanics …, 2013 - iopscience.iop.org
Average harmonic spectrum of the whole-plane SLE - IOPscience Skip to content IOP
Science home Accessibility Help Search Journals Journals list Browse more than 100 …
Science home Accessibility Help Search Journals Journals list Browse more than 100 …
Integral means spectrum of whole-plane SLE
D Beliaev, B Duplantier, M Zinsmeister - Communications in Mathematical …, 2017 - Springer
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 …
curves that was initiated in Beliaev and Smirnov (Commun Math Phys 290 (2): 577–595 …
New exact results in spectra of stochastic Loewner evolution
I Loutsenko, O Yermolayeva - Journal of Physics A: Mathematical …, 2014 - iopscience.iop.org
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 …
in their average means beta-spectrum. The methods we use originate from our previous …
On exact multi-fractal spectrum of the whole-plane SLE
I Loutsenko, O Yermolayeva - arXiv preprint arXiv:1203.2756, 2012 - arxiv.org
arXiv:1203.2756v4 [math-ph] 23 Oct 2012 Page 1 arXiv:1203.2756v4 [math-ph] 23 Oct 2012 On
Exact Multi-fractal Spectrum of the Whole-Plane SLE Igor Loutsenko Université Paris Diderot …
Exact Multi-fractal Spectrum of the Whole-Plane SLE Igor Loutsenko Université Paris Diderot …
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 …
Logarithmic coefficients and multifractality of whole-plane sle
B Duplantier, XH Ho, TB Le, M Zinsmeister - 2016 - cea.hal.science
We consider the whole-plane SLE conformal map f from the unit disk to the slit plane, and
show that its mixed moments, involving a power p of the derivative modulus| f'| and a power …
show that its mixed moments, involving a power p of the derivative modulus| f'| and a power …
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 …