Tikhomirov, Konstantin; Youssef, Pierre Sharp Poincaré and log-Sobolev inequalities for the switch chain on regular bipartite graphs. (English) Zbl 1528.05060 Probab. Theory Relat. Fields 185, No. 1-2, 89-184 (2023). MSC: 05C80 60J10 26D10 PDFBibTeX XMLCite \textit{K. Tikhomirov} and \textit{P. Youssef}, Probab. Theory Relat. Fields 185, No. 1--2, 89--184 (2023; Zbl 1528.05060) Full Text: DOI arXiv
Salez, Justin; Tikhomirov, Konstantin; Youssef, Pierre Upgrading MLSI to LSI for reversible Markov chains. (English) Zbl 1520.60042 J. Funct. Anal. 285, No. 9, Article ID 110076, 15 p. (2023). MSC: 60J27 60J10 60K35 60E15 PDFBibTeX XMLCite \textit{J. Salez} et al., J. Funct. Anal. 285, No. 9, Article ID 110076, 15 p. (2023; Zbl 1520.60042) Full Text: DOI arXiv
Lancien, Cécilia; Santos, Patrick Oliveira; Youssef, Pierre Limiting spectral distribution of random self-adjoint quantum channels. arXiv:2311.12368 Preprint, arXiv:2311.12368 [quant-ph] (2023). MSC: 81P45 81P47 60B20 15B52 46L54 BibTeX Cite \textit{C. Lancien} et al., ``Limiting spectral distribution of random self-adjoint quantum channels'', Preprint, arXiv:2311.12368 [quant-ph] (2023) Full Text: arXiv OA License
Lancien, Cécilia; Youssef, Pierre A note on quantum expanders. arXiv:2302.07772 Preprint, arXiv:2302.07772 [quant-ph] (2023). MSC: 81P45 81P47 60B20 15B52 BibTeX Cite \textit{C. Lancien} and \textit{P. Youssef}, ``A note on quantum expanders'', Preprint, arXiv:2302.07772 [quant-ph] (2023) Full Text: arXiv OA License
Chafaï, Djalil; Dadoun, Benjamin; Youssef, Pierre Monotonicity of the logarithmic energy for random matrices. arXiv:2212.06090 Preprint, arXiv:2212.06090 [math.PR] (2022). MSC: 60B20 15B52 BibTeX Cite \textit{D. Chafaï} et al., ``Monotonicity of the logarithmic energy for random matrices'', Preprint, arXiv:2212.06090 [math.PR] (2022) Full Text: arXiv OA License
Tikhomirov, Konstantin; Youssef, Pierre Outliers in spectrum of sparse Wigner matrices. (English) Zbl 1523.60019 Random Struct. Algorithms 58, No. 3, 517-605 (2021). MSC: 60B20 15B52 05C80 15A18 PDFBibTeX XMLCite \textit{K. Tikhomirov} and \textit{P. Youssef}, Random Struct. Algorithms 58, No. 3, 517--605 (2021; Zbl 1523.60019) Full Text: DOI arXiv
Litvak, Alexander Evgen’evich; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre Circular law for sparse random regular digraphs. (English) Zbl 1460.05174 J. Eur. Math. Soc. (JEMS) 23, No. 2, 467-501 (2021). MSC: 05C80 05C42 15B52 46B06 46B09 60C05 60B20 PDFBibTeX XMLCite \textit{A. E. Litvak} et al., J. Eur. Math. Soc. (JEMS) 23, No. 2, 467--501 (2021; Zbl 1460.05174) Full Text: DOI arXiv
Aoun, Richard; Banna, Marwa; Youssef, Pierre Matrix Poincaré inequalities and concentration. (English) Zbl 1452.60017 Adv. Math. 371, Article ID 107251, 32 p. (2020). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 60J46 60B20 47D07 PDFBibTeX XMLCite \textit{R. Aoun} et al., Adv. Math. 371, Article ID 107251, 32 p. (2020; Zbl 1452.60017) Full Text: DOI arXiv
Tikhomirov, Konstantin; Youssef, Pierre On the norm of a random jointly exchangeable matrix. (English) Zbl 1447.60029 J. Theor. Probab. 32, No. 4, 1990-2005 (2019). MSC: 60B20 15B52 05C80 PDFBibTeX XMLCite \textit{K. Tikhomirov} and \textit{P. Youssef}, J. Theor. Probab. 32, No. 4, 1990--2005 (2019; Zbl 1447.60029) Full Text: DOI arXiv
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre Structure of eigenvectors of random regular digraphs. (English) Zbl 1447.05091 Trans. Am. Math. Soc. 371, No. 11, 8097-8172 (2019). MSC: 05C20 05C80 60B20 15B52 46B06 46B09 60C05 PDFBibTeX XMLCite \textit{A. E. Litvak} et al., Trans. Am. Math. Soc. 371, No. 11, 8097--8172 (2019; Zbl 1447.05091) Full Text: DOI arXiv
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre The smallest singular value of a shifted \(d\)-regular random square matrix. (English) Zbl 1411.60015 Probab. Theory Relat. Fields 173, No. 3-4, 1301-1347 (2019). MSC: 60B20 15B52 46B06 05C80 46B09 60C05 PDFBibTeX XMLCite \textit{A. E. Litvak} et al., Probab. Theory Relat. Fields 173, No. 3--4, 1301--1347 (2019; Zbl 1411.60015) Full Text: DOI arXiv
Tikhomirov, Konstantin; Youssef, Pierre The spectral gap of dense random regular graphs. (English) Zbl 1407.05212 Ann. Probab. 47, No. 1, 362-419 (2019). MSC: 05C80 05C50 60B20 15B52 PDFBibTeX XMLCite \textit{K. Tikhomirov} and \textit{P. Youssef}, Ann. Probab. 47, No. 1, 362--419 (2019; Zbl 1407.05212) Full Text: DOI arXiv Euclid
Latała, Rafał; van Handel, Ramon; Youssef, Pierre The dimension-free structure of nonhomogeneous random matrices. (English) Zbl 1457.60011 Invent. Math. 214, No. 3, 1031-1080 (2018). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B20 46B09 46L53 15B52 PDFBibTeX XMLCite \textit{R. Latała} et al., Invent. Math. 214, No. 3, 1031--1080 (2018; Zbl 1457.60011) Full Text: DOI arXiv
Tikhomirov, Konstantin; Youssef, Pierre When does a discrete-time random walk in \(\mathbb{R}^{n}\) absorb the origin into its convex hull? (English) Zbl 1377.52008 Ann. Probab. 45, No. 2, 965-1002 (2017). MSC: 52A22 60J05 60J65 60G50 PDFBibTeX XMLCite \textit{K. Tikhomirov} and \textit{P. Youssef}, Ann. Probab. 45, No. 2, 965--1002 (2017; Zbl 1377.52008) Full Text: DOI arXiv Euclid
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre 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.) (English. French summary) Zbl 1388.60039 C. R., Math., Acad. Sci. Paris 354, No. 2, 121-124 (2016). MSC: 60C05 60B20 05C80 15B52 PDFBibTeX XMLCite \textit{A. E. Litvak} et al., C. R., Math., Acad. Sci. Paris 354, No. 2, 121--124 (2016; Zbl 1388.60039) Full Text: DOI
Banna, Marwa; Merlevède, Florence; Youssef, Pierre Bernstein-type inequality for a class of dependent random matrices. (English) Zbl 1381.60017 Random Matrices Theory Appl. 5, No. 2, Article ID 1650006, 28 p. (2016). MSC: 60B20 60F10 PDFBibTeX XMLCite \textit{M. Banna} et al., Random Matrices Theory Appl. 5, No. 2, Article ID 1650006, 28 p. (2016; Zbl 1381.60017) Full Text: DOI arXiv
Youssef, Pierre Estimating the covariance of random matrices. (English) Zbl 1287.60014 Electron. J. Probab. 18, Paper No. 107, 26 p. (2013). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60B20 60F15 PDFBibTeX XMLCite \textit{P. Youssef}, Electron. J. Probab. 18, Paper No. 107, 26 p. (2013; Zbl 1287.60014) Full Text: DOI arXiv