WebMar 26, 2008 · Authors: Christophe Garban, Gábor Pete, Oded Schramm Download a PDF of the paper titled The Fourier spectrum of critical percolation, by Christophe Garban … WebJan 1, 2011 · The Fourier expansion of functions on \(\mathbb{R}^d\) is an indispensable tool with numerous applications. Likewise, the harmonic analysis of functions defined on the discrete cube {−1, 1} d has found a host of applications; see the survey [KS]. Yet the Fourier expansion of some functions of interest is rather poorly understood.
Noise Sensitivity of Boolean Functions and Percolation
WebMay 23, 2013 · Authors: Christophe Garban, Gábor Pete, Oded Schramm. Download PDF Abstract: We prove that near-critical percolation and dynamical percolation on the triangular lattice $\eta \mathbb{T}$ have a scaling limit as the mesh $\eta \to 0$, in the "quad-crossing" space $\mathcal{H}$ of percolation configurations introduced by Schramm and Smirnov. … WebChristophe Garban. Christophe Garban is a researcher at CNRS in the department of mathematics of ENS Lyon (UMPA). His research focuses on Probability Theory and more precisely on the study of the fractal pictures … makey mouse clubhouse casel for free
[1301.2876] Liouville Brownian motion - arXiv.org
WebChristophe Garban Vincent Tassion In this short note, we revisit a number of classical result{s} on long-range 1D percolation, Ising model and Potts models [FS82, NS86, ACCN88, IN88]. WebChristophe Garban Professor of mathematics, Université Lyon 1, France Verified email at math.univ-lyon1.fr. Follow. Arnab Sen. ... N Berestycki, C Garban, A Sen. 23: 2015: Limiting spectral distribution of matrices. A Bose, S Gangopadhyay, A Sen. Annales de l'IHP Probabilités et statistiques 46 (3), 677-707, 2010. 22: WebThis is a graduate-level introduction to the theory of Boolean functions, an exciting area lying on the border of probability theory, discrete mathematics, analysis, and theoretical computer science. Certain functions are highly sensitive to noise; this can be seen via Fourier analysis on the hypercube. The key model analyzed in depth is critical percolation on the … ma key microsoft office 2010