AK
Antti Knowles
math.MPmath-phmath.PRmath.APmath.CO05C5005C8015B5260B20cond-mat.quant-gas
On Valency
published · living versionsW_2vgdy3r4·v1 · currentpublished
Preprints & journals
49 papers in the corpus · 2005–2026Density of states of randomly sprinkled graphs2609.17348v1 · Antti Knowles, Steffen Polzer2026 · 0 citationsarXiv
Bernoulli flow for Erdős-Rényi graphs2609.15566v1 · Joscha Henheik, Antti Knowles2026 · 0 citationsarXiv
Semilocalization for inhomogeneous random graphs2604.11682v1 · Thomas Buc-d'Alch'e, Antti Knowles2026 · 0 citationsarXiv
The Euclidean theory as a limit of an inhomogeneous Bose gas2603.12241v1 · Cristina Caraci, Antti Knowles, Alessio Ranallo et al.2026 · 0 citationsarXiv
Localized phase for the Erdős-Rényi graph2305.16294v2 · Johannes Alt, Raphael Ducatez, Antti Knowles2023 · 10 citationsarXiv
The Euclidean theory as a limit of an interacting Bose gas2201.07632v2 · Jurg Frohlich, Antti Knowles, Benjamin Schlein et al.2022 · 4 citationsarXiv
The completely delocalized region of the Erdős-Rényi graph2109.03227v2 · Johannes Alt, Raphael Ducatez, Antti Knowles2021 · 0 citationsarXiv
Poisson statistics and localization at the spectral edge of sparse Erdős-Rényi graphs2106.12519v4 · Johannes Alt, Raphael Ducatez, Antti Knowles2021 · 1 citationarXiv
Delocalization Transition for Critical Erdős-Rényi Graphs.34720130 · Alt, Johannes, Ducatez, Raphael, Knowles, Antti2022 · 30 citationsCommunications in mathematical physics. 2021;388(1):507-579
Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs.34720301 · He, Yukun, Knowles, Antti2021 · 27 citationsProbability theory and related fields. 2021;180(3-4):985-1056
Interacting loop ensembles and Bose gases2012.05110v3 · Jurg Frohlich, Antti Knowles, Benjamin Schlein et al.2020 · 6 citationsarXiv
Delocalization transition for critical Erdős-Rényi graphs2005.14180v3 · Johannes Alt, Raphael Ducatez, Antti Knowles2020 · 2 citationsarXiv
Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs2005.02254v2 · Yukun He, Antti Knowles2020 · 5 citationsarXiv
A path-integral analysis of interacting Bose gases and loop gases2001.11714v1 · Jurg Frohlich, Antti Knowles, Benjamin Schlein et al.2020 · 11 citationsarXiv
The mean-field limit of quantum Bose gases at positive temperature2001.01546v2 · Jurg Frohlich, Antti Knowles, Benjamin Schlein et al.2020 · 15 citationsarXiv
Edge rigidity and universality of random regular graphs of intermediate degree1910.10121v2 · Roland Bauerschmidt, Jiaoyang Huang, Antti Knowles et al.2019 · 29 citationsGeom. Funct. Anal., 30, 693-769, (2020)
Extremal eigenvalues of critical Erdős-Rényi graphs1905.03243v3 · Johannes Alt, Raphael Ducatez, Antti Knowles2019 · 7 citationsarXiv
Mesoscopic eigenvalue density correlations of Wigner matrices1808.09436v3 · Yukun He, Antti Knowles2018 · 20 citationsarXiv
Local law and complete eigenvector delocalization for supercritical Erdős-Rényi graphs1808.09437v2 · Yukun He, Antti Knowles, Matteo Marcozzi2018 · 3 citationsarXiv
Spectral radii of sparse random matrices1704.02945v5 · Florent Benaych-Georges, Charles Bordenave, Antti Knowles2017 · 76 citationsarXiv
Largest eigenvalues of sparse inhomogeneous Erdős-Rényi graphs1704.02953v1 · Florent Benaych-Georges, Charles Bordenave, Antti Knowles2017 · 66 citationsarXiv
A microscopic derivation of time-dependent correlation functions of the cubic nonlinear Schrödinger equation1703.04465v3 · Jurg Frohlich, Antti Knowles, Benjamin Schlein et al.2017 · 2 citationsarXiv
Isotropic self-consistent equations for mean-field random matrices1611.05364v2 · Yukun He, Antti Knowles, Ron Rosenthal2016 · 39 citationsarXiv
Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions 1605.07095v6 · Jurg Frohlich, Antti Knowles, Benjamin Schlein et al.2016 · 27 citationsarXiv
Mesoscopic eigenvalue statistics of Wigner matrices1603.01499v2 · Yukun He, Antti Knowles2016 · 84 citationsAnn. Appl. Prob. 27 (2017), 1510-1550
Lectures on the local semicircle law for Wigner matrices1601.04055v4 · Florent Benaych-Georges, Antti Knowles2016 · 60 citationsarXiv
Eigenvalue confinement and spectral gap for random simplicial complexes1509.02034v1 · Antti Knowles, Ron Rosenthal2015 · 12 citationsarXiv
Bulk eigenvalue statistics for random regular graphs1505.06700v3 · Roland Bauerschmidt, Jiaoyang Huang, Antti Knowles et al.2015 · 56 citationsAnn. Probab., 45(6A):3626-3663, 2017
Local semicircle law for random regular graphs1503.08702v5 · Roland Bauerschmidt, Antti Knowles, Horng-Tzer Yau2015 · 81 citationsComm. Pure Appl. Math., 70(10):1898-1960, 2017
Anisotropic local laws for random matrices1410.3516v4 · Antti Knowles, Jun Yin2014 · 162 citationsarXiv
On the principal components of sample covariance matrices1404.0788v3 · Alex Bloemendal, Antti Knowles, Horng-Tzer Yau et al.2014 · 129 citationsarXiv
The Altshuler-Shklovskii Formulas for Random Band Matrices I: the Unimodular Case1309.5106v2 · Laszlo Erdos, Antti Knowles2013 · 26 citationsarXiv
The Altshuler-Shklovskii Formulas for Random Band Matrices II: the General Case1309.5107v2 · Laszlo Erdos, Antti Knowles2013 · 29 citationsarXiv
Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices1308.5729v4 · Alex Bloemendal, Laszlo Erdos, Antti Knowles et al.2013 · 135 citationsarXiv
The Local Semicircle Law for a General Class of Random Matrices1212.0164v4 · Laszlo Erdos, Antti Knowles, Horng-Tzer Yau et al.2012 · 178 citationsarXiv
The outliers of a deformed Wigner matrix1207.5619v2 · Antti Knowles, Jun Yin2012 · 64 citationsAnnals of Probability 2014, Vol. 42, No. 5, 1980-2031
Averaging Fluctuations in Resolvents of Random Band Matrices1205.5664v3 · Laszlo Erdos, Antti Knowles, Horng-Tzer Yau2012 · 111 citationsarXiv
Delocalization and Diffusion Profile for Random Band Matrices1205.5669v3 · Laszlo Erdos, Antti Knowles, Horng-Tzer Yau et al.2012 · 96 citationsarXiv
The Isotropic Semicircle Law and Deformation of Wigner Matrices1110.6449v2 · Antti Knowles, Jun Yin2011 · 147 citationsarXiv
Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues1103.3869v3 · Laszlo Erdos, Antti Knowles, Horng-Tzer Yau et al.2011 · 222 citationsarXiv
Spectral statistics of Erdős-Rényi graphs I: Local semicircle law1103.1919v5 · L'aszl'o Erdos, Antti Knowles, Horng-Tzer Yau et al.2011 · 199 citationsAnnals of Probability 2013, Vol. 41, No. 3B, 2279-2375
Eigenvector Distribution of Wigner Matrices1102.0057v4 · Antti Knowles, Jun Yin2011 · 114 citationsarXiv
Quantum Diffusion and Delocalization for Band Matrices with General Distribution1005.1838v4 · Laszlo Erdos, Antti Knowles2010 · 42 citationsarXiv
Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model1002.1695v5 · Laszlo Erdos, Antti Knowles2010 · 66 citationsarXiv
Mean-Field Dynamics: Singular Potentials and Rate of Convergence0907.4313v2 · Antti Knowles, Peter Pickl2009 · 167 citationsarXiv
A Microscopic Derivation of the Time-Dependent Hartree-Fock Equation with Coulomb Two-Body Interaction0810.4282v2 · Juerg Froehlich, Antti Knowles2008 · 72 citationsarXiv
On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction0805.4299v2 · Juerg Froehlich, Antti Knowles, Simon Schwarz2008 · 147 citationsarXiv
Semi-Classical Dynamics in Quantum Spin Systems0709.4561v1 · J. Froehlich, A. Knowles, E. Lenzmann2007 · 12 citationsarXiv
Connection state overhead in a dynamic linear networkcs/0510077v1 · Oskari Ajanki, Antti Knowles2005 · 1 citationarXiv
Career total: 83 works. 49 are in this corpus.
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