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MULTIFRACTAL PROPERTIES OF THE SETS OF ZEROES OF BROWNIAN PATHS
independent random variables Brownian motion local time Hausdor
2015/9/29
In this paper we study Brownian zeroes in the neighborhood of which one can observe non-typical growth
rate of Brownian excursions. We interprete the multifractal curve for the Brownian zeroes calcul...
Dense properties of the space of the circle diffeomorphisms with a Liouville rotation number
circle diffeomorphism rotation number Liouville number conjugacy invariant measure fast approximation by conjugation
2011/9/23
Abstract: Given any Liouville number $\alpha$, it is shown that various subspaces are $C^\infty$-dense in the space of the orientation preserving $C^\infty$ diffeomorphisms of the circle with rotation...
Observation of depth-induced properties in wave turbulence on the surface of a fluid
wave turbulence fluid surface depth-induced properties
2011/7/7
We report the observation of changes in the wave turbulence properties of gravity-capillary surface waves due to a finite depth effect. When the fluid depth is decreased, a hump is observed on the wav...
Ground state properties in non-relativistic QED
Ground state properties non-relativistic QED
2011/2/21
We discuss recent results concerning the ground state of non-relativistic quantum electrodynamics as a function of a magnetic coupling constant or the fine structure
constant, obtained by the authors...
Spectral Properties of Grain Boundaries at Small Angles of Rotation
Schr¨odinger operators eigenvalues spectral gaps
2010/12/9
We study some spectral properties of a simple two-dimensional model for small angle defects in crystals and alloys. Starting from a periodic potential V : R2 → R, we let V#(x, y) = V (x, y) in the rig...