Konstantin Tikhomirov

ScholarGPS® ID: 11412761816754

Affiliation

Georgia Institute of Technology, Atlanta, United States

Affiliation History

Field

Physical Sciences and Mathematics

Discipline

Mathematics

Top Specialties

Probability | Functional Analysis

Metrics Summary

Publication Count

Predicted Citations

492

Predicted h-index

Ranking

Publications and Citation History

Publications based on Top Specialties

Types of Publication

Publications
Books
Patents
NIH/NSF

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A remark on the Ramsey number of the hypercube (journal article) Tikhomirov, Konstantin European Journal of Combinatorics, volume 120 (2024). 10.1016/j.ejc.2024.103954 Cite \| Source
Regularized modified log-Sobolev inequalities and comparison of Markov chains (journal article) Tikhomirov, Konstantin \| Youssef, Pierre The Annals of Probability, volume 52, issue 4 (2024). 10.1214/23-AOP1645 Cite \| Source
Average-case analysis of the Gaussian elimination with partial pivoting (journal article) Huang, Han \| Tikhomirov, Konstantin Probability Theory and Related Fields, volume 189, issue 1-2, pages 501-567 (2024). 10.1007/s00440-024-01276-2 Cite \| Source
Quantitative invertibility of non-Hermitian random matrices (book chapter) In International Congress of Mathematicians Tikhomirov, Konstantin EMS Press (2023) 10.4171/icm2022/10 Cite \| Source
Upgrading MLSI to LSI for reversible Markov chains (journal article) Salez, Justin \| Tikhomirov, Konstantin \| Youssef, Pierre Journal of Functional Analysis, volume 285, issue 9, pages 110076- (2023). 10.1016/j.jfa.2023.110076 Cited by (1) \| Cite \| Source
Exact matching of random graphs with constant correlation (journal article) Mao, Cheng \| Rudelson, Mark \| Tikhomirov, Konstantin Probability Theory and Related Fields, volume 186, issue 1-2, pages 327-389 (2023). 10.1007/s00440-022-01184-3 Cited by (7) \| Cite \| Source
Sharp Poincaré and log-Sobolev inequalities for the switch chain on regular bipartite graphs (journal article) Tikhomirov, Konstantin \| Youssef, Pierre Probability Theory and Related Fields, volume 185, issue 1-2, pages 89-184 (2023). 10.1007/s00440-022-01172-7 Cited by (2) \| Cite \| Source
Distribution of the Minimum Distance of Random Linear Codes (journal article) Hao, Jing \| Huang, Han \| Livshyts, Galyna V. \| Tikhomirov, Konstantin IEEE Transactions on Information Theory, volume 68, issue 10, pages 6388-6401 (2022). 10.1109/TIT.2022.3170341 Cite \| Source
Singularity of sparse Bernoulli matrices (journal article) Litvak, Alexander E. \| Tikhomirov, Konstantin E. Duke Mathematical Journal, volume 171, issue 5 (2022). 10.1215/00127094-2021-0056 Cited by (5) \| Cite \| Source
Hypercontractivity and lower deviation estimates in normed spaces (journal article) Paouris, Grigoris \| Tikhomirov, Konstantin \| Valettas, Petros The Annals of Probability, volume 50, issue 2 (2022). 10.1214/21-AOP1543 Cited by (1) \| Cite \| Source
The smallest singular value of inhomogeneous square random matrices (journal article) Livshyts, Galyna V. \| Tikhomirov, Konstantin \| Vershynin, Roman The Annals of Probability, volume 49, issue 3 (2021). 10.1214/20-AOP1481 Cited by (15) \| Cite \| Source
Outliers in spectrum of sparse Wigner matrices (journal article) Tikhomirov, Konstantin \| Youssef, Pierre Random Structures & Algorithms, volume 58, issue 3, pages 517-605 (2021). 10.1002/rsa.20982 Cited by (11) \| Cite \| Source
Circular law for sparse random regular digraphs (journal article) Litvak, Alexander E. \| Lytova, Anna \| Tikhomirov, Konstantin \| Tomczak-Jaegermann, Nicole \| Youssef, Pierre Journal of the European Mathematical Society, volume 23, issue 2, pages 467-501 (2020). 10.4171/jems/1015 Cited by (6) \| Cite \| Source
Invertibility via distance for noncentered random matrices with continuous distributions (journal article) Tikhomirov, Konstantin Random Structures & Algorithms, volume 57, issue 2, pages 526-562 (2020). 10.1002/rsa.20920 Cited by (10) \| Cite \| Source
Distribution of the Minimum Distance of Random Linear Codes (conference) Hao, Jing \| Huang, Han \| Livshyts, Galyna \| Tikhomirov, Konstantin 2020 IEEE International Symposium on Information Theory (ISIT) (2020) Los Angeles, CA, USA 10.1109/ISIT44484.2020.9173937 Cited by (1) \| Cite \| Source
On delocalization of eigenvectors of random non-Hermitian matrices (journal article) Lytova, Anna \| Tikhomirov, Konstantin Probability Theory and Related Fields, volume 177, issue 1-2, pages 465-524 (2020). 10.1007/s00440-019-00956-8 Cited by (6) \| Cite \| Source
Singularity of random Bernoulli matrices (journal article) Tikhomirov, Konstantin Annals of Mathematics, volume 191, issue 2 (2020). 10.4007/annals.2020.191.2.6 Cited by (47) \| Cite \| Source
Cube is a Strict Local Maximizer for the Illumination Number (journal article) Livshyts, Galyna \| Tikhomirov, Konstantin Discrete & Computational Geometry, volume 63, issue 1, pages 209-228 (2020). 10.1007/s00454-019-00115-9 Cite \| Source
Small Ball Probability for the Condition Number of Random Matrices (book chapter) In Geometric Aspects of Functional Analysis Litvak, Alexander E. \| Tikhomirov, Konstantin \| Tomczak-Jaegermann, Nicole Springer International Publishing (2020) 10.1007/978-3-030-46762-3_5 Cited by (2) \| Cite \| Source
A remark on the smallest singular value of powers of Gaussian matrices (journal article) Huang, Han \| Tikhomirov, Konstantin Electronic Communications in Probability, volume 25, issue none (2020). 10.1214/20-ECP285 Cited by (2) \| Cite \| Source