7 citations · 19 across the 17 of their papers we have counts for
23 papers
Fractional Besov-Sobolev Spaces on Chord-arc Curves
Huaying Wei, Michel Zinsmeister
Let be a bounded rectifiable Jordan curve, with complementary domains and . For and , we study the spaces of harmonic fun…
Cauchy Integral, Fractional Sobolev Spaces and Chord-Arc Curves
Huaying Wei, Michel Zinsmeister
Let be a bounded Jordan curve and its two complementary components. For we define as the set of functions having har…
p-Dirichlet spaces over chord-arc domains
Huaying Wei, Michel Zinsmeister
Let be a rectifiable Jordan curve in the complex plane, let and be its interior and exterior domains, respectively, and let . Let be the vector…
Dirichlet spaces over chord-arc domains
Huaying Wei, Michel Zinsmeister
If is a function with compact support in the plane, we let be its restriction to the unit circle , and denote by the harmonic extension…
Denjoy Domains and BMOA
Shengjin Huo, Michel Zinsmeister
A Denjoy domain is a plane domain whose complement is a closed subset of the extended real line containing : such a domain is called Carleson-homogeneous if…
Complex Generalized Integral Means Spectrum of Drifted Whole-Plane SLE and LLE
Bertrand Duplantier, Yong Han, Chi Nguyen +1
We present new results for the complex generalized integral means spectrum for two kinds of whole-plane Loewner evolutions driven by Lévy processes: - Lévy processes with continuou…
A new Model of City Growth and its Application to a middle sized French City
Athanasios Batakis, Thi-Thuy-Nga Nguyen, Michel Zinsmeister
In the first part of this paper we propose a new theoretical model of city growth based on percolation. The second half oh the paper is devoted to a concrete application of the mod…
A real-variable construction with applications to BMO-Teichmüller theory
Huaying Wei, Michel Zinsmeister
With the use of real-variable techniques, we construct a weight function on the interval that is doubling and satisfies is a BMO function, but which is not a…
On Ruelle's property
Huo Shengjin, Michel Zinsmeister
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 also prove the existe…
Ahlfors-regular curves and Carleson measures
Huaying Wei, Michel Zinsmeister
We study the relation between the boundary of a simply connected domain being Ahlfors-regular and the invariance of Carleson measures under the push-forward operator induced by a c…
Local Analysis of Loewner Equation
Henshui Zhang, Michel Zinsmeister
Let be the driving function of a chordal Loewner process. In this paper we find new conditions on which imply that the process is generated by…
On the derivative of the Hausdorff Dimension of the Julia sets for z^2+c
Ludwik Jaksztas, Michel Zinsmeister
Let denote the Hausdorff dimension of the Julia set of the polynomial . We will investigate behavior of the function when real parameter tends…
BMO-Teichmüller spaces revisited
Huaying Wei, Michel Zinsmeister
In a paper of Cui and Zinsmeister the equivalence among three definitions of BMO-Teichmüller spaces associated with a Fuchsian group was proven using the Douady-Earle extension ope…
On The Brownian Loop Measure
Yong Han, Yuefei Wang, Michel Zinsmeister
In 2003 Lawler and Werner introduced the Brownian loop measure and studied some of its properties. Cardy and Gamsa has predicted a formula for the total mass of the Brownian loop m…
Carleson measures and chord-arc curves
Huaying Wei, Michel Zinsmeister
Following Semmes and Zinsmeister, we continue the study of Carleson measures and their invariance under pull-back and push-forward operators. We also study the analogous statements…
Integral means spectrum of whole-plane SLE
Dmitry Beliaev, Bertrand Duplantier, Michel Zinsmeister
We complete the mathematical analysis of the fine structure of harmonic measure on SLE curves that was initiated by Beliaev and Smirnov, as described by the averaged integral means…
Logarithmic Coefficients and Generalized Multifractality of Whole-Plane SLE
Bertrand Duplantier, Xuan Hieu Ho, Thanh Binh Le +1
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 powe…
Mean exit time for surface-mediated diffusion: spectral analysis and asymptotic behavior
O. Bénichou, D. S. Grebenkov, L. Hillairet +3
We consider a model of surface-mediated diffusion with alternating phases of pure bulk and surface diffusion. For this process, we compute the mean exit time from a disk through a…
The Coefficient Problem and Multifractality of Whole-Plane SLE and LLE
Bertrand Duplantier, Nguyen Thi Phuong Chi, Nguyen Thi Thuy Nga +1
We revisit the Bieberbach conjecture in the framework of SLE processes and, more generally, Lévy processes. The study of their unbounded whole-plane versions leads to a discrete se…
On the Hausdorff dimension of Julia sets of some real polynomials
Genadi Levin, Michel Zinsmeister
We show that the supremum for real of the Hausdorff dimension of the Julia set of the polynomial ( is an even natural number) is greater than .
Variations of Hausdorff Dimension in the Exponential Family
Guillaume Havard, Mariusz Urbanski, Michel Zinsmeister
In this paper we deal with the following family of exponential maps . Denoting the hyperbolic dimension of . It is known tha…
On the time schedule of Brownian Flights
Athanasios Batakis, Michel Zinsmeister
We are interested on the statistics of the duration of Brownian diffusions started at distance εfrom a given boundary and stopped when they hit back the interface.
On Brownian flights
Athanasios Batakis, Pierre Levitz, Michel Zinsmeister
Let K be a compact subset of . We choose at random with uniform law a point at distance of K and start a Brownian motion (BM) from this point. We study the proba…