Antti Knowles

2.4k total citations
34 papers, 1.0k citations indexed

About

Antti Knowles is a scholar working on Mathematical Physics, Statistics and Probability and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Antti Knowles has authored 34 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Mathematical Physics, 25 papers in Statistics and Probability and 7 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Antti Knowles's work include Random Matrices and Applications (25 papers), Spectral Theory in Mathematical Physics (13 papers) and Advanced Algebra and Geometry (9 papers). Antti Knowles is often cited by papers focused on Random Matrices and Applications (25 papers), Spectral Theory in Mathematical Physics (13 papers) and Advanced Algebra and Geometry (9 papers). Antti Knowles collaborates with scholars based in Switzerland, United States and United Kingdom. Antti Knowles's co-authors include Jun Yin, Horng‐Tzer Yau, László Erdős, Jürg Fröhlich, Peter Pickl, Alex Bloemendal, Charles Bordenave, Florent Benaych-Georges, Alessandro Pizzo and Roland Bauerschmidt and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Journal of Statistical Physics.

In The Last Decade

Antti Knowles

33 papers receiving 1.0k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Antti Knowles Switzerland 18 723 607 252 241 168 34 1.0k
Piotr Śniady Poland 10 303 0.4× 229 0.4× 178 0.7× 166 0.7× 62 0.4× 28 615
Mariya Shcherbina Ukraine 13 420 0.6× 359 0.6× 152 0.6× 41 0.2× 109 0.6× 31 661
Thomas Kriecherbauer Germany 11 312 0.4× 301 0.5× 150 0.6× 141 0.6× 217 1.3× 31 821
James A. Mingo Canada 11 343 0.5× 400 0.7× 144 0.6× 54 0.2× 47 0.3× 37 628
Bálint Virág Canada 15 667 0.9× 691 1.1× 292 1.2× 33 0.1× 45 0.3× 43 1.1k
Sandrine Péché France 15 1.0k 1.4× 593 1.0× 362 1.4× 27 0.1× 57 0.3× 27 1.2k
Florent Benaych-Georges France 13 555 0.8× 285 0.5× 180 0.7× 31 0.1× 59 0.4× 35 754
Francesco Mezzadri United Kingdom 14 179 0.2× 150 0.2× 64 0.3× 228 0.9× 220 1.3× 37 601
Alexander Soshnikov United States 14 693 1.0× 559 0.9× 327 1.3× 20 0.1× 44 0.3× 34 812
Анатолий Моисеевич Вершик Russia 17 171 0.2× 735 1.2× 131 0.5× 39 0.2× 112 0.7× 94 1.1k

Countries citing papers authored by Antti Knowles

Since Specialization
Citations

This map shows the geographic impact of Antti Knowles's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Antti Knowles with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Antti Knowles more than expected).

Fields of papers citing papers by Antti Knowles

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Antti Knowles. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Antti Knowles. The network helps show where Antti Knowles may publish in the future.

Co-authorship network of co-authors of Antti Knowles

This figure shows the co-authorship network connecting the top 25 collaborators of Antti Knowles. A scholar is included among the top collaborators of Antti Knowles based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Antti Knowles. Antti Knowles is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Fröhlich, Jürg, et al.. (2024). The Euclidean $\phi^{4}_{2}$ theory as a limit of an interacting Bose gas. Journal of the European Mathematical Society. 27(11). 4399–4468.
2.
Knowles, Antti, et al.. (2024). Localized Phase for the Erdős–Rényi Graph. Communications in Mathematical Physics. 405(1). 2 indexed citations
3.
Fröhlich, Jürg, et al.. (2022). Interacting Loop Ensembles and Bose Gases. Annales Henri Poincaré. 24(5). 1439–1503. 3 indexed citations
4.
Knowles, Antti, et al.. (2021). Extremal eigenvalues of critical Erdős–Rényi graphs. The Annals of Probability. 49(3). 14 indexed citations
5.
Knowles, Antti, et al.. (2021). Fluctuations of extreme eigenvalues of sparse Erdős–Rényi graphs. Probability Theory and Related Fields. 180(3-4). 985–1056. 14 indexed citations
6.
Bauerschmidt, Roland, Jiaoyang Huang, Antti Knowles, & Horng‐Tzer Yau. (2020). Edge rigidity and universality of random regular graphs of intermediate degree. Geometric and Functional Analysis. 30(3). 693–769. 13 indexed citations
7.
Benaych-Georges, Florent, Charles Bordenave, & Antti Knowles. (2019). Largest eigenvalues of sparse inhomogeneous Erdős–Rényi graphs. The Annals of Probability. 47(3). 26 indexed citations
8.
Knowles, Antti, et al.. (2019). Local law and complete eigenvector delocalization for supercritical Erdős–Rényi graphs. The Annals of Probability. 47(5). 12 indexed citations
9.
Knowles, Antti, et al.. (2019). Mesoscopic eigenvalue density correlations of Wigner matrices. Probability Theory and Related Fields. 177(1-2). 147–216. 14 indexed citations
10.
Bauerschmidt, Roland, Jiaoyang Huang, Antti Knowles, & Horng‐Tzer Yau. (2017). Bulk eigenvalue statistics for random regular graphs. The Annals of Probability. 45(6A). 21 indexed citations
11.
Knowles, Antti, et al.. (2017). Mesoscopic eigenvalue statistics of Wigner matrices. The Annals of Applied Probability. 27(3). 44 indexed citations
12.
Knowles, Antti, et al.. (2017). Isotropic self-consistent equations for mean-field random matrices. Probability Theory and Related Fields. 171(1-2). 203–249. 22 indexed citations
13.
Knowles, Antti & Jun Yin. (2016). Anisotropic local laws for random matrices. Probability Theory and Related Fields. 169(1-2). 257–352. 76 indexed citations
14.
Bloemendal, Alex, Antti Knowles, Horng‐Tzer Yau, & Jun Yin. (2015). On the principal components of sample covariance matrices. Probability Theory and Related Fields. 164(1-2). 459–552. 72 indexed citations
15.
Bloemendal, Alex, László Erdős, Antti Knowles, Horng‐Tzer Yau, & Jun Yin. (2014). Isotropic local laws for sample covariance and generalized Wigner matrices. Electronic Journal of Probability. 19(none). 68 indexed citations
16.
Knowles, Antti & Jun Yin. (2013). The Isotropic Semicircle Law and Deformation of Wigner Matrices. Communications on Pure and Applied Mathematics. 66(11). 1663–1749. 82 indexed citations
17.
Erdős, László, Antti Knowles, Horng‐Tzer Yau, & Jun Yin. (2013). The local semicircle law for a general class of random matrices. Electronic Journal of Probability. 18(none). 96 indexed citations
18.
Fröhlich, Jürg & Antti Knowles. (2011). A Microscopic Derivation of the Time-Dependent Hartree-Fock Equation with Coulomb Two-Body Interaction. Journal of Statistical Physics. 145(1). 23–50. 26 indexed citations
19.
Erdős, László & Antti Knowles. (2011). Quantum Diffusion and Delocalization for Band Matrices with General Distribution. Annales Henri Poincaré. 12(7). 1227–1319. 19 indexed citations
20.
Fröhlich, Jürg, Antti Knowles, & Alessandro Pizzo. (2007). Atomism and quantization. Journal of Physics A Mathematical and Theoretical. 40(12). 3033–3045. 39 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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