Search Results - "Zinsmeister, Michel"
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On the Hausdorff dimension of Julia sets of some real polynomials
Published in Proceedings of the American Mathematical Society (01-10-2013)“…We show that the supremum for c real of the Hausdorff dimension of the Julia set of the polynomial z ↦ z d + c (d is an even natural number) is greater than…”
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Dirichlet spaces over chord-arc domains
Published in Mathematische annalen (20-07-2024)Get full text
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On The Brownian Loop Measure
Published in Journal of statistical physics (01-06-2019)“…In 2003 Lawler and Werner introduced the Brownian loop measure and studied some of its properties. In 2006 Cardy and Gamsa predicted a formula for the total…”
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Integral Means Spectrum of Whole-Plane SLE
Published in Communications in mathematical physics (01-07-2017)“…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…”
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On the Product of Functions in BMO and H^\text{1}
Published in Annales de l'Institut Fourier (2007)Get full text
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Complex Generalized Integral Means Spectrum of Drifted Whole-Plane SLE and LLE
Published in Annales Henri Poincaré (01-01-2024)“…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))…”
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Integral means spectrum of whole-plane SLE
Published in Communications in mathematical physics (21-04-2017)“…We complete the mathematical analysis of the fine structure of harmonic measure on SLE curves that was initiated in Ref. [2], as described by the averaged…”
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Thermodynamic Formalism and Variations of the Hausdorff Dimension of Quadratic Julia Sets
Published in Communications in mathematical physics (01-03-2000)Get full text
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Ahlfors-regular curves and Carleson measures
Published in Science China. Mathematics (01-06-2020)“…We study the relation between the boundary of a simply connected domain Ω being Ahlfors-regular and the invariance of Carleson measures under the push-forward…”
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Logarithmic Coefficients and Generalized Multifractality of Whole-Plane SLE
Published in Communications in mathematical physics (01-05-2018)“…It has been shown that for f an instance of the whole-plane SLE unbounded conformal map from the unit disk D to the slit plane, the derivative moments E ( | f…”
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On the product of functions in BMO and H
Published in Annales de l'Institut Fourier (2007)Get full text
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12
p-Dirichlet spaces over chord-arc domains
Published 02-10-2024“…Let $\Gamma$ be a rectifiable Jordan curve in the complex plane, $\Omega_i$ and $\Omega_e$ respectively the interior and exterior domains of $\Gamma$, and…”
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On a Competitive Model of Laplacian Growth
Published in Journal of statistical physics (01-11-2011)“…We introduce a competitive model of Laplacian growth in both stochastic and deterministic versions. This defines two different aggregation laws with…”
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Denjoy Domains and BMOA
Published 27-07-2023“…A Denjoy domain is a plane domain whose complement is a closed subset $E$ of the extended real line $\bar{R}$ containing $\infty$ : such a domain is called…”
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The Coefficient Problem and Multifractality of Whole-Plane SLE & LLE
Published in Annales Henri Poincaré (01-06-2015)“…Karl Löwner (later known as Charles Loewner) introduced his famous differential equation in 1923 to solve the Bieberbach conjecture for series expansion…”
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Dirichlet spaces over chord-arc domains
Published 21-10-2024“…If $U$ is a $C^{\infty}$ function with compact support in the plane, we let $u$ be its restriction to the unit circle $\mathbb{S}$, and denote by $U_i,\,U_e$…”
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A real-variable construction with applications to BMO-Teichm\"uller theory
Published 21-07-2021“…With the use of real-variable techniques, we construct a weight function $\omega$ on the interval $[0, 2\pi)$ that is doubling and satisfies $\log \omega$ is a…”
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Brownian flights over a fractal nest and first-passage statistics on irregular surfaces
Published in Physical review letters (12-05-2006)“…The diffusive motion of Brownian particles near irregular interfaces plays a crucial role in various transport phenomena in nature and industry. Most…”
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On Ruelle's property
Published 04-06-2019“…In this paper we investigate the range of validity of Ruelle's property. First, we show that every finitely-generated Fuchsian group has Ruelle's property. We…”
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LE PROBLÈME DE HELMHOLTZ POUR DES OBSTACLES PEU RÉGULIERS
Published in Publicacions matemàtiques (01-01-2011)“…The classical Helmholtz model for wakes behind an obstacle in perfect fluid mechanics boils down in complex analysis into a Riemann problem with free boundary,…”
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