Publications (27)
Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions $d \leq 3$
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
A microscopic derivation of time-dependent correlation functions of the $1D$ cubic nonlinear Schrödinger equation
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
Eigenvector Distribution of Wigner Matrices
Antti Knowles, Jun Yin
Mesoscopic eigenvalue statistics of Wigner matrices
Yukun He, Antti Knowles
On the principal components of sample covariance matrices
Alex Bloemendal, Antti Knowles, Horng-Tzer Yau +1
The Altshuler-Shklovskii Formulas for Random Band Matrices I: the Unimodular Case
Laszlo Erdos, Antti Knowles
Spectral Statistics of Erd{\H o}s-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues
Laszlo Erdos, Antti Knowles, Horng-Tzer Yau +1
On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction
Juerg Froehlich, Antti Knowles, Simon Schwarz
Spectral statistics of ErdÅs-Rényi graphs I: Local semicircle law
László ErdÅs, Antti Knowles, Horng-Tzer Yau +1
Connection state overhead in a dynamic linear network
Oskari Ajanki, Antti Knowles
Lectures on the local semicircle law for Wigner matrices
Florent Benaych-Georges, Antti Knowles
Largest eigenvalues of sparse inhomogeneous ErdÅs-Rényi graphs
Florent Benaych-Georges, Charles Bordenave, Antti Knowles
The Local Semicircle Law for a General Class of Random Matrices
Laszlo Erdos, Antti Knowles, Horng-Tzer Yau +1
Isotropic self-consistent equations for mean-field random matrices
Yukun He, Antti Knowles, Ron Rosenthal
Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model
Laszlo Erdos, Antti Knowles
The Isotropic Semicircle Law and Deformation of Wigner Matrices
Antti Knowles, Jun Yin
Eigenvalue confinement and spectral gap for random simplicial complexes
Antti Knowles, Ron Rosenthal
Local law and complete eigenvector delocalization for supercritical ErdÅs-Rényi graphs
Yukun He, Antti Knowles, Matteo Marcozzi
Anisotropic local laws for random matrices
Antti Knowles, Jun Yin
The Altshuler-Shklovskii Formulas for Random Band Matrices II: the General Case
Laszlo Erdos, Antti Knowles
A Microscopic Derivation of the Time-Dependent Hartree-Fock Equation with Coulomb Two-Body Interaction
Juerg Froehlich, Antti Knowles
Averaging Fluctuations in Resolvents of Random Band Matrices
Laszlo Erdos, Antti Knowles, Horng-Tzer Yau
Mean-Field Dynamics: Singular Potentials and Rate of Convergence
Antti Knowles, Peter Pickl
Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices
Alex Bloemendal, Laszlo Erdos, Antti Knowles +2
The outliers of a deformed Wigner matrix
Antti Knowles, Jun Yin
Delocalization and Diffusion Profile for Random Band Matrices
Laszlo Erdos, Antti Knowles, Horng-Tzer Yau +1
Quantum Diffusion and Delocalization for Band Matrices with General Distribution
Laszlo Erdos, Antti Knowles