1 citations · 1 across the 9 of their papers we have counts for
10 papers
On Complex Analytic tools, and the Holomorphic Rotation methods
Ronald R. Coifman, Jacques Peyrière, Guido Weiss
We describe recent nonlinear analytic approximation tools in the classical setting of Hardy spaces in the upper half plane and show how to transfer them to the higher dimensional r…
Explicit fixed points of the smoothing transformation
Jacques Peyrière
We deal with the equation , where the unknown is the distribution of , the variables in the right hand side are inde…
Moore machines duality
Jacques Peyrière
We present a simple algorithm to find the Moore machine with the minimum number of states equivalent to a given one.
Multiscale decompositions of Hardy spaces
Ronald R. Coifman, Jacques Peyrière
An inspiration at the origin of wavelet analysis (when Grossmann, Morlet, Meyer and collaborators were interacting and exploring versions of multiscale representations) was provide…
Phase unwinding, or invariant subspace decompositions of Hardy spaces
Ronald R. Coifman, Jacques Peyrière
We consider orthogonal decompositions of invariant subspaces of Hardy spaces, these relate to the Blaschke based phase unwinding decompositions. We prove convergence in Lp. In part…
Sampling and Frequency Warping
Stefan Lafon, Jacques Lévy Véhel, Jacques Peyrière
Optimal sampling of non band-limited functions is an issue of great importance that has attracted considerable attention. We propose to tackle this problem through the use of a fre…
Mandelbrot cascades on random weighted trees and nonlinear smoothing transforms
Julien Barral, Jacques Peyrière
We consider complex Mandelbrot multiplicative cascades on a random weigh\-ted tree. Under suitable assumptions, this yields a dynamics $\T$ on laws invariant by random weighted mea…
Revisiting multifractal analysis
Fathi Ben Nasr, Jacques Peyrière
New proofs of theorems on the multifractal formalism are given. They yield results even at points q for which Olsen's functions b(q) and B(q) differ. Indeed, we provide an example…
Generic points in systems of specification and Banach valued Birkhoff ergodic average
Ai-Hua Fan, Lingmin Liao, Jacques Peyrière
We prove that systems satisfying the specification property are saturated in the sense that the topological entropy of the set of generic points of any invariant measure is equal t…
Dynamics of Mandelbrot Cascades
Julien Barral, Jacques Peyriere, Zhi-Ying Wen
Mandelbrot multiplicative cascades provide a construction of a dynamical system on a set of probability measures defined by inequalities on moments. To be more specific, beyond the…