output
19942022
most citedCombination of convergence groups

120 citations

15 papers

physics.optics2022★ 113 cited

Phase Retrieval: From Computational Imaging to Machine Learning

Jonathan Dong, Lorenzo Valzania, Antoine Maillard +3

Phase retrieval consists in the recovery of a complex-valued signal from intensity-only measurements. As it pervades a broad variety of applications, many researchers have striven…

cond-mat.dis-nn2021★ 26 cited

Perturbative construction of mean-field equations in extensive-rank matrix factorization and denoising

Antoine Maillard, Florent Krzakala, Marc Mézard +1

Factorization of matrices where the rank of the two factors diverges linearly with their sizes has many applications in diverse areas such as unsupervised representation learning,…

math.AG2019★ 8 cited

On the infinite loop spaces of algebraic cobordism and the motivic sphere

Tom Bachmann, Elden Elmanto, Marc Hoyois +3

We obtain geometric models for the infinite loop spaces of the motivic spectra , , and over a field. They are motivically equivalent to $\m…

math.AP2019★ 15 cited

Limiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients

Hoai Minh Nguyen, Swarnendu Sil

We study the limiting absorption principle and the well-posedness of Maxwell equations with anisotropic sign-changing coefficients in the time-harmonic domain. The starting point o…

math.AG2019★ 33 cited

Modules over algebraic cobordism

Elden Elmanto, Marc Hoyois, Adeel A. Khan +2

We prove that the -category of -modules over any scheme is equivalent to the -category of motivic spectra with finite syntomic transfers. Using the re…

math.AP2017★ 18 cited

Local exponential stabilization for a class of Korteweg-de Vries equations by means of time-varying feedback laws

Jean-Michel Coron, Ivonne Rivas, Shengquan Xiang

We study the exponential stabilization problem for a nonlinear Korteweg-de Vries equa- tion on bounded interval in cases where the linearized control system is not controllable. Th…

math.FA2013

Sequential Weak Approximation for Maps of Finite Hessian Energy

Robert Hardt, Tristan Rivière

Consider the space of second order Sobolev mappings from a smooth domain to a compact Riemannian manifold whose Hessian energy $\int_Ω|\na…

math.DG2011★ 9 cited

Reduction of beta-integrable 2-Segre structures

Thomas Mettler

We show that locally every beta-integrable (2,n)-Segre structure can be reduced to a torsion-free S^1*GL(n,R)-structure. This is done by observing that such reductions correspond t…

math.AC2011★ 21 cited

Decompositions of Binomial Ideals in Macaulay 2

Thomas Kahle

The package Binomials contains implementations of specialized algorithms for binomial ideals, including primary decomposition into binomial ideals. The current implementation works…

math.DG2005

Growth of conjugacy classes of Schottky groups in higher rank symmetric spaces

Gabriele Link

Let be a globally symmetric space of noncompact type, and $Γ\subset\Isom(X)$ a Schottky group of axial isometries. Then is a locally symmetric Riemannian manifold of i…

math.PR2004★ 16 cited

Sharp thresholds and percolation in the plane

Bela Bollobas, Oliver Riordan

Recently, the authors showed that the critical probability for random Voronoi percolation in the plane is 1/2. A by-product of the method was a short proof of the Harris-Kesten The…

math.PR2004★ 41 cited

A short proof of the Harris-Kesten Theorem

Bela Bollobas, Oliver Riordan

We give a short proof of the fundamental result that the critical probability for bond percolation in the planar square lattice is equal to 1/2. The lower bound was proved by Harri…

math.PR2003★ 7 cited

The Percolation Transition in the Zero-Temperature Domany Model

Federico Camia, Charles M. Newman

We analyze a deterministic cellular automaton corresponding to the zero-temperature case of Domany's stochastic Ising ferromagnet on the hexagonal la…

math.GR2002★ 120 cited

Combination of convergence groups

Francois Dahmani

We state and prove a combination theorem for relatively hyperbolic groups seen as geometrically finite convergence groups. For that, we explain how to contruct a boundary for a gro…

hep-th1994★ 2 cited

The Quantum Group as a Symmetry - The Schrödinger equation of the -dimensional -deformed Harmonic Oscillator -

Ursula Carow-Watamura, Satoshi Watamura

With the aim to construct a dynamical model with quantum group symmetry, the -deformed Schrödinger equation of the harmonic oscillator on the -dimensional quantum Euclidian s…