## Tikhomirov, Konstantin E.

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 Author ID: tikhomirov.konstantin-e Published as: Tikhomirov, Konstantin; Tikhomirov, Konstantin E.; Tikhomirov, K. E.; Tikhomirov, K. more...less External Links: MGP
 Documents Indexed: 43 Publications since 2006 Co-Authors: 17 Co-Authors with 29 Joint Publications 359 Co-Co-Authors
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### Co-Authors

 14 single-authored 10 Litvak, Aleksandr Evgen’evich 9 Youssef, Pierre 8 Lytova, Anna 7 Tomczak-Jaegermann, Nicole 6 Astashkin, Sergeĭ Vladimir 2 Chafaï, Djalil 2 Livshyts, Galyna V. 1 Bordenave, Charles 1 Caputo, Pietro 1 Curbera, Guillermo P. 1 Huang, Han 1 Maligranda, Lech 1 Paouris, Grigoris 1 Rebrova, Elizaveta 1 Rudelson, Mark 1 Valettas, Petros 1 Vershynin, Roman
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### Serials

 5 The Annals of Probability 3 Probability Theory and Related Fields 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Journal of Functional Analysis 2 Discrete & Computational Geometry 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Studia Mathematica 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Mathematische Nachrichten 1 Mathematika 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Journal of Complexity 1 Journal of Theoretical Probability 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Electronic Communications in Probability 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Vestnik Samarskogo Gosudarstvennogo Universitetea. Estestvennonauchnaya Seriya
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### Fields

 25 Probability theory and stochastic processes (60-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 15 Functional analysis (46-XX) 10 Combinatorics (05-XX) 10 Convex and discrete geometry (52-XX) 5 Statistics (62-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 200 times in 118 Documents Cited by Year
Singularity of random Bernoulli matrices. Zbl 1458.15023
Tikhomirov, Konstantin
2020
Coverings of random ellipsoids, and invertibility of matrices with i.i.d. heavy-tailed entries. Zbl 1405.60012
Rebrova, Elizaveta; Tikhomirov, Konstantin
2018
Adjacency matrices of random digraphs: singularity and anti-concentration. Zbl 1344.05126
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2017
The smallest singular value of random rectangular matrices with no moment assumptions on entries. Zbl 1346.15038
Tikhomirov, Konstantin E.
2016
The limit of the smallest singular value of random matrices with i.i.d. entries. Zbl 1323.60017
Tikhomirov, Konstantin
2015
The rank of random regular digraphs of constant degree. Zbl 1392.05100
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2018
On the spectral radius of a random matrix: an upper bound without fourth moment. Zbl 1393.05130
Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil; Tikhomirov, Konstantin
2018
The spectral gap of dense random regular graphs. Zbl 1407.05212
Tikhomirov, Konstantin; Youssef, Pierre
2019
The smallest singular value of a shifted $$d$$-regular random square matrix. Zbl 1411.60015
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2019
Sample covariance matrices of heavy-tailed distributions. Zbl 1462.62330
Tikhomirov, Konstantin
2018
The smallest singular value of inhomogeneous square random matrices. Zbl 1467.60010
Livshyts, Galyna V.; Tikhomirov, Konstantin; Vershynin, Roman
2021
Anti-concentration property for random digraphs and invertibility of their adjacency matrices. (Propriété d’anti-concentration pour les digraphes aléatoires et invertibilité de leur matrice d’adjacence.) Zbl 1388.60039
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2016
On delocalization of eigenvectors of random non-Hermitian matrices. Zbl 1458.15061
Lytova, Anna; Tikhomirov, Konstantin
2020
Structure of eigenvectors of random regular digraphs. Zbl 1447.05091
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2019
Illumination of convex bodies with many symmetries. Zbl 1376.52004
Tikhomirov, Konstantin
2017
The sparse circular law under minimal assumptions. Zbl 1442.15058
Rudelson, Mark; Tikhomirov, Konstantin
2019
Circular law for sparse random regular digraphs. Zbl 1460.05174
Litvak, Alexander Evgen’evich; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2021
Superconcentration, and randomized Dvoretzky’s theorem for spaces with 1-unconditional bases. Zbl 1411.46008
Tikhomirov, Konstantin
2018
The randomized Dvoretzky’s theorem in $$l_{\infty }^{n}$$ and the $$\chi$$-distribution. Zbl 1325.46015
Tikhomirov, Konstantin E.
2014
Invertibility via distance for noncentered random matrices with continuous distributions. Zbl 1456.60028
Tikhomirov, Konstantin
2020
When does a discrete-time random walk in $$\mathbb{R}^{n}$$ absorb the origin into its convex hull? Zbl 1377.52008
Tikhomirov, Konstantin; Youssef, Pierre
2017
Almost Euclidean sections in symmetric spaces and concentration of order statistics. Zbl 1316.46013
Tikhomirov, Konstantin E.
2013
The variance of the $$\ell _p^n$$-norm of the Gaussian vector, and Dvoretzky’s theorem. Zbl 1425.46007
Lytova, A.; Tikhomirov, K.
2019
A probabilistic version of Rosenthal’s inequality. Zbl 1287.46022
Astashkin, S. V.; Tikhomirov, K. E.
2013
On the existence of RUC systems in rearrangement invariant spaces. Zbl 1355.46015
Astashkin, Sergey V.; Curbera, Guillermo P.; Tikhomirov, Konstantin E.
2016
On the distance of polytopes with few vertices to the Euclidean ball. Zbl 1310.52014
Tikhomirov, Konstantin E.
2014
Small ball probability for the condition number of random matrices. Zbl 07238070
Litvak, Alexander E.; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole
2020
A remark on the smallest singular value of powers of Gaussian matrices. Zbl 1434.60029
Huang, Han; Tikhomirov, Konstantin
2020
Order statistics of vectors with dependent coordinates, and the Karhunen-Loève basis. Zbl 1405.62049
Litvak, Alexander E.; Tikhomirov, Konstantin
2018
On stability of $$\mathcal{K}$$-monotonicity of Banach couples. Zbl 1202.46089
Astashkin, Sergey V.; Tikhomirov, Konstantin E.
2010
On the convergence of the extremal eigenvalues of empirical covariance matrices with dependence. Zbl 1384.15008
Chafaï, Djalil; Tikhomirov, Konstantin
2018
Cube is a strict local maximizer for the illumination number. Zbl 1432.52005
Livshyts, Galyna; Tikhomirov, Konstantin
2020
On the Banach-Mazur distance to cross-polytope. Zbl 1408.52004
Tikhomirov, Konstantin
2019
New examples of $$K$$-monotone weighted Banach couples. Zbl 1292.46013
Astashkin, Sergey V.; Maligranda, Lech; Tikhomirov, Konstantin E.
2013
The smallest singular value of inhomogeneous square random matrices. Zbl 1467.60010
Livshyts, Galyna V.; Tikhomirov, Konstantin; Vershynin, Roman
2021
Circular law for sparse random regular digraphs. Zbl 1460.05174
Litvak, Alexander Evgen&rsquo;evich; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2021
Singularity of random Bernoulli matrices. Zbl 1458.15023
Tikhomirov, Konstantin
2020
On delocalization of eigenvectors of random non-Hermitian matrices. Zbl 1458.15061
Lytova, Anna; Tikhomirov, Konstantin
2020
Invertibility via distance for noncentered random matrices with continuous distributions. Zbl 1456.60028
Tikhomirov, Konstantin
2020
Small ball probability for the condition number of random matrices. Zbl 07238070
Litvak, Alexander E.; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole
2020
A remark on the smallest singular value of powers of Gaussian matrices. Zbl 1434.60029
Huang, Han; Tikhomirov, Konstantin
2020
Cube is a strict local maximizer for the illumination number. Zbl 1432.52005
Livshyts, Galyna; Tikhomirov, Konstantin
2020
The spectral gap of dense random regular graphs. Zbl 1407.05212
Tikhomirov, Konstantin; Youssef, Pierre
2019
The smallest singular value of a shifted $$d$$-regular random square matrix. Zbl 1411.60015
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2019
Structure of eigenvectors of random regular digraphs. Zbl 1447.05091
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2019
The sparse circular law under minimal assumptions. Zbl 1442.15058
Rudelson, Mark; Tikhomirov, Konstantin
2019
The variance of the $$\ell _p^n$$-norm of the Gaussian vector, and Dvoretzky’s theorem. Zbl 1425.46007
Lytova, A.; Tikhomirov, K.
2019
On the Banach-Mazur distance to cross-polytope. Zbl 1408.52004
Tikhomirov, Konstantin
2019
Coverings of random ellipsoids, and invertibility of matrices with i.i.d. heavy-tailed entries. Zbl 1405.60012
Rebrova, Elizaveta; Tikhomirov, Konstantin
2018
The rank of random regular digraphs of constant degree. Zbl 1392.05100
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2018
On the spectral radius of a random matrix: an upper bound without fourth moment. Zbl 1393.05130
Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil; Tikhomirov, Konstantin
2018
Sample covariance matrices of heavy-tailed distributions. Zbl 1462.62330
Tikhomirov, Konstantin
2018
Superconcentration, and randomized Dvoretzky’s theorem for spaces with 1-unconditional bases. Zbl 1411.46008
Tikhomirov, Konstantin
2018
Order statistics of vectors with dependent coordinates, and the Karhunen-Loève basis. Zbl 1405.62049
Litvak, Alexander E.; Tikhomirov, Konstantin
2018
On the convergence of the extremal eigenvalues of empirical covariance matrices with dependence. Zbl 1384.15008
Chafaï, Djalil; Tikhomirov, Konstantin
2018
Adjacency matrices of random digraphs: singularity and anti-concentration. Zbl 1344.05126
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2017
Illumination of convex bodies with many symmetries. Zbl 1376.52004
Tikhomirov, Konstantin
2017
When does a discrete-time random walk in $$\mathbb{R}^{n}$$ absorb the origin into its convex hull? Zbl 1377.52008
Tikhomirov, Konstantin; Youssef, Pierre
2017
The smallest singular value of random rectangular matrices with no moment assumptions on entries. Zbl 1346.15038
Tikhomirov, Konstantin E.
2016
Anti-concentration property for random digraphs and invertibility of their adjacency matrices. (Propriété d’anti-concentration pour les digraphes aléatoires et invertibilité de leur matrice d’adjacence.) Zbl 1388.60039
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
2016
On the existence of RUC systems in rearrangement invariant spaces. Zbl 1355.46015
Astashkin, Sergey V.; Curbera, Guillermo P.; Tikhomirov, Konstantin E.
2016
The limit of the smallest singular value of random matrices with i.i.d. entries. Zbl 1323.60017
Tikhomirov, Konstantin
2015
The randomized Dvoretzky’s theorem in $$l_{\infty }^{n}$$ and the $$\chi$$-distribution. Zbl 1325.46015
Tikhomirov, Konstantin E.
2014
On the distance of polytopes with few vertices to the Euclidean ball. Zbl 1310.52014
Tikhomirov, Konstantin E.
2014
Almost Euclidean sections in symmetric spaces and concentration of order statistics. Zbl 1316.46013
Tikhomirov, Konstantin E.
2013
A probabilistic version of Rosenthal’s inequality. Zbl 1287.46022
Astashkin, S. V.; Tikhomirov, K. E.
2013
New examples of $$K$$-monotone weighted Banach couples. Zbl 1292.46013
Astashkin, Sergey V.; Maligranda, Lech; Tikhomirov, Konstantin E.
2013
On stability of $$\mathcal{K}$$-monotonicity of Banach couples. Zbl 1202.46089
Astashkin, Sergey V.; Tikhomirov, Konstantin E.
2010
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### Cited by 158 Authors

 20 Tikhomirov, Konstantin E. 11 Litvak, Aleksandr Evgen’evich 8 Jain, Vishesh 8 Lytova, Anna 8 Paouris, Grigoris 8 Tomczak-Jaegermann, Nicole 8 Youssef, Pierre 6 Valettas, Petros 5 Livshyts, Galyna V. 5 Luh, Kyle 4 Basak, Anirban 4 O’Rourke, Sean D. 4 Rebrova, Elizaveta 4 Vershynin, Roman 3 Astashkin, Sergeĭ Vladimir 3 Erdős, László 3 Mendelson, Shahar 2 Alt, Johannes 2 Bordenave, Charles 2 Campos, Marcelo 2 Chafaï, Djalil 2 Cipolloni, Giorgio 2 Guédon, Olivier 2 Heiny, Johannes 2 Huang, Jiaoyang 2 Kosov, Egor D. 2 Krüger, Torben 2 Kwan, Matthew 2 Lopatto, Patrick 2 Pivovarov, Peter 2 Rudelson, Mark 2 Sah, Ashwin 2 Sauermann, Lisa 2 Sawhney, Mehtaab S. 2 Schröder, Dominik 2 Sukochev, Fedor Anatol’evich 2 Tatarko, Kateryna 2 Vu, Van H. 2 Vysotsky, Vladislav V. 2 Yau, Horng-Tzer 2 Zaporozhets, Dmitry 2 Zeitouni, Ofer 1 Adamczak, Radosław 1 Alon, Bar 1 Alon, Noga M. 1 Baldi, Pierre 1 Barrera, Gerardo 1 Bartl, Daniel 1 Bauerschmidt, Roland 1 Braverman, Mark 1 Chan, Eunice Y. S. 1 Chasapis, Giorgos 1 Chaudhuri, Rohit 1 Che, Ziliang 1 Chen, Yuxin 1 Cheng, Chen 1 Cheng, Guozheng 1 Chill, Ralph 1 Condon, Padraig 1 Corless, Robert Malcolm 1 Coste, Simon 1 Coston, Natalie 1 Curbera, Guillermo P. 1 Dilworth, Stephen J. 1 Dodangeh, M. 1 Dubach, Guillaume 1 Efremenko, Klim 1 Espuny Díaz, Alberto 1 Fan, Jianqing 1 Fang, Xiang 1 Ferber, Asaf 1 Fiorenza, Alberto 1 Fresen, Daniel J. 1 García-Zelada, David 1 Gelles, Ran 1 Girão, António 1 Girko, Vyacheslav Leonidovich 1 Glazyrin, Alexey 1 Gonzalez-Vega, Laureano 1 Gregoratti, Matteo 1 Hachem, Walid 1 Haeupler, Bernhard 1 Han, Fang 1 Hanin, Boris L. 1 Huang, Han 1 Ivanov, Ilya E. 1 Izenman, Alan Julian 1 Jana, Indrajit 1 Jenssen, Matthew O. 1 Jiao, Yong 1 Kabluchko, Zakhar A. 1 Kashin, Boris Sergeevich 1 Klartag, Bo’az 1 Knowles, Antti 1 Kopel, Phil 1 Krivelevich, Michael 1 Król, Sebastian 1 Kühn, Daniela 1 Kutzarova, Denka N. 1 Landon, Benjamin A. ...and 58 more Authors
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### Cited in 58 Serials

 7 The Annals of Probability 7 Probability Theory and Related Fields 7 Electronic Journal of Probability 5 Advances in Mathematics 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Journal of Functional Analysis 4 Geometric and Functional Analysis. GAFA 3 Israel Journal of Mathematics 3 Duke Mathematical Journal 3 Journal of Complexity 3 Journal of Theoretical Probability 3 Journal of Mathematical Sciences (New York) 3 Bernoulli 3 Journal of the European Mathematical Society (JEMS) 3 Random Matrices: Theory and Applications 2 Discrete Mathematics 2 Journal of Mathematical Analysis and Applications 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Linear Algebra and its Applications 2 Stochastic Processes and their Applications 2 Combinatorics, Probability and Computing 2 Communications in Contemporary Mathematics 2 Advances in Geometry 2 Discrete Analysis 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Studia Mathematica 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of Applied Probability 1 Journal of Geometry 1 Journal of Statistical Planning and Inference 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Statistics & Probability Letters 1 Statistical Science 1 Discrete & Computational Geometry 1 SIAM Journal on Matrix Analysis and Applications 1 IMRN. International Mathematics Research Notices 1 Numerical Algorithms 1 Distributed Computing 1 St. Petersburg Mathematical Journal 1 Random Operators and Stochastic Equations 1 Selecta Mathematica. New Series 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Electronic Communications in Probability 1 Sbornik: Mathematics 1 Positivity 1 Revista Matemática Complutense 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Optimization Letters 1 Electronic Journal of Statistics 1 Probability Surveys 1 SIAM Journal on Mathematics of Data Science
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### Cited in 23 Fields

 86 Probability theory and stochastic processes (60-XX) 61 Linear and multilinear algebra; matrix theory (15-XX) 29 Functional analysis (46-XX) 27 Combinatorics (05-XX) 22 Convex and discrete geometry (52-XX) 6 Statistics (62-XX) 4 Operator theory (47-XX) 4 Computer science (68-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Numerical analysis (65-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)