By coauthors:

R. Adamczak
 D. Alonso-Gutierrez
 A. Arman
 W. Banaszczyk
K. Bezdek
B. Collins
D. Janz
D. Galicer
P. Gawron
E.D. Gluskin
Y. Gordon
O. Guedon
A. Hinrichs
Z. Kabluchko
N.J. Kalton
R. Latala
G.V. Livshyts
A. Lytova
P. Mankiewicz
S. Mendelson
M. Merzbacher
M. Meyer
V.D. Milman
K. Oleszkiewicz
A. Pajor
D. Pinasco
J. Prochno
O. Rivasplata
M. Rudelson
G. Schechtman
C. Schuett
S. Spektor
S.J. Szarek
C. Szepesvari
K. Tatarko
K. Tikhomirov
N. Tomczak-Jaegermann
R. Vershynin
E. Werner
P. Youssef
D. Zaporozhets,
K. Zyczkowski
R. Adamczak
  1. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Tail estimates for norms of sums of log-concave random vectors," Proc. London Math. Soc., 108 (2014), 600--637. PDF, PS.
  2. R. Adamczak, O. Guedon, R. Latala, A. E. Litvak, K. Oleszkiewicz, A. Pajor, N. Tomczak-Jaegermann, "Moment estimates for convex measures," Electron. J. Probab., 17 no. 101 (2012), 1-19. PDF, PS.
  3. R. Adamczak, R. Latala, A. E. Litvak, K. Oleszkiewicz, A. Pajor, N. Tomczak-Jaegermann, "A short proof of Paouris' inequality," Canadian Math. Bull, 57 (2014), 3--8. PDF, PS.
  4. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Chevet type inequality and norms of submatrices," Studia Math., 210 (2012), 35-56. PDF, PS.
  5. R. Adamczak, O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Condition number of a square matrix with i.i.d. columns drawn from a convex body," Proc. Amer. Math. Soc., 140 (2012), 987--998. PDF, PS.
  6. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Geometry of log-concave Ensembles of random matrices and approximate reconstruction," C.R. Math. Acad. Sci. Paris, 349 (2011), 783--786. PDF, PS.
  7. R. Adamczak, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Sharp bounds on the rate of convergence of empirical covariance matrix," C.R. Math. Acad. Sci. Paris, 349 (2011), 195--200. PDF, PS.
  8. R. Adamczak, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling," Constructive Approximation, 34 (2011), 61--88. PDF, PS.
  9. R. Adamczak, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Quantitative estimates of the convergence of the empirical covariance matrix in Log-concave Ensembles," Journal of AMS, 234 (2010), 535--561. PDF, PS.
  10. R. Adamczak, O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Smallest singular value of random matrices with independent columns," C. R., Math., Acad. Sci. Paris, 346 (2008), 853--856. PDF, PS.
D. Alonso-Gutierrez
  1. D. Alonso-Gutierrez, A. E. Litvak, N. Tomczak-Jaegermann, "On the isotropic constant of random polytopes," Journal of Geometric Analysis, 26 (2016), 645--662. PDF, PS.
A. Arman
  1. A. Arman, A. E. Litvak, "Minimal dispersion on the cube and the torus," J. of Complexity, 85 (2024), 101883. PDF.
W. Banaszczyk
  1. W. Banaszczyk, A. E. Litvak, A. Pajor, S. J. Szarek, "The flatness theorem for non-symmetric convex bodies via the local theory of Banach spaces," Math. of Oper. Research., 24 (1999), 728--750. PDF, PS.
K. Bezdek
  1. K. Bezdek, A. E. Litvak, "Packing convex bodies by cylinders," Discrete and Computational Geometry, 55 (2016), 725--738. PDF, PS.
  2. K. Bezdek, A. E. Litvak, "Covering convex bodies by cylinders and lattice points by flats," Journal of Geometric Analysis, 19 (2009), 233--243. PDF, PS.
  3. K. Bezdek, A. E. Litvak, "On the vertex index of convex bodies," Adv. Math., 215 (2007), 626--641. PDF, PS.

B. Collins
  1. B. Collins, P. Gawron, A. E. Litvak, K. Zyczkowski, "Numerical range for random matrices," J. of Math. Analysis and Appl., 418 (2014), 516--533. PDF

D. Janz
  1. D. Janz, A. E. Litvak, C. Szepesvari, "Ensemble sampling for linear bandits: small ensembles suffice," submitted. PDF.

D. Galicer
  1. D. Galicer, A. E. Litvak, M. Merzbacher, D. Pinasco, "On the volume ratio of projections of convex bodies," J. of Funct. Anal., 286 (2024), 110242. PDF.

P. Gawron
  1. B. Collins, P. Gawron, A. E. Litvak, K. Zyczkowski, "Numerical range for random matrices," J. of Math. Analysis and Appl., 418 (2014), 516--533. PDF

E. D. Gluskin
  1. E. D. Gluskin, A. E. Litvak, "A remark on vertex index of the convex bodies," GAFA, Lecture Notes in Math., 2050, 255--265, Springer, Berlin, 2012. PDF, PS.
  2. E. D. Gluskin, A. E. Litvak, "Asymmetry of convex polytopes and vertex index of symmetric convex bodies," Discrete and Computational Geometry, 40 (2008), 528--536. PDF, PS.
  3. E. D. Gluskin, A. E. Litvak, "On the asymmetry constant of a body with few vertices," Geometriae Dedicate, 90 (2002), 45--48. PDF, PS.
  4. E. D. Gluskin, A. E. Litvak, N. Tomczak-Jaegermann, "An example of the body without symmetric projections," Israel Journal of Math., 124 (2001), 267--277. PDF, PS.

Y. Gordon
  1. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Uniform estimates for order statistics and Orlicz functions," Positivity, 16 (2012), 1--28. PDF, PS.
  2. Y. Gordon, A. E. Litvak, S. Mendelson, A. Pajor, "Gaussian averages of interpolated bodies and applications to approximate reconstruction," J. of Approx. Theory, 149 (2007), 59--73. PDF, PS.
  3. Y. Gordon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Random $\eps$ nets and embeddings in $\ell^N_\infty$," Stud. Math., 178 (2007), 91--98. PDF, PS.
  4. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "On the minimum of several random variables," Proc. AMS, 134 (2006), 3665--3675. PDF, PS.
  5. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Minima of sequences of Gaussian random variables," C.R. Acad. Sci. Paris, Ser 1, Math., 340 (2005), 445--448. PDF, PS.
  6. Y. Gordon, A. E. Litvak, M. Meyer, A. Pajor, "John's decomposition in the general case and applications," J. of Diff. Geometry, 68 (2004), 99--119. PDF, PS.
  7. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Geometry of spaces between zonoids and polytopes," Bull. Sci. Math., 126 (2002), 733--762. PDF, PS.
  8. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Orlicz Norms of Sequences of Random Variables," Ann. Probab., 30 (2002), 1833--1853. PDF, PS.

O. Guedon
  1. O. Guedon, A. E. Litvak, K. Tatarko, "Random polytopes obtained by matrices with heavy tailed entries," Commun. Contemp. Math., 22 (2020), 1950027. PDF.
  2. O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "On the interval of fluctuation of the singular values of random matrices," Journal of the European Mathematical Society, 19 (2017), 1469--1505. PDF, PS.
  3. O. Guedon, A. Hinrichs, A. E. Litvak, J. Prochno, "On the expectation of operator norms of random matrices," GAFA, Lecture Notes in Math., 2169 (2017), 151--162. PDF.
  4. O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Restricted isometry property for random matrices with heavy tailed columns," C.R. Math. Acad. Sci. Paris, 352 (2014), 431--434. PDF, PS.
  5. R. Adamczak, O. Guedon, R. Latala, A. E. Litvak, K. Oleszkiewicz, A. Pajor, N. Tomczak-Jaegermann, "Moment estimates for convex measures," Electron. J. Probab., 17 (2012). PDF, PS.
  6. R. Adamczak, O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Condition number of a square matrix with i.i.d. columns drawn from a convex body," Proc. Amer. Math. Soc., 140 (2012), 987--998. PDF, PS.
  7. O. Guedon, A. E. Litvak, "On the symmetric average of a convex body," Advances in Geometry, 11 (2011), 615--622. PDF, PS.
  8. R. Adamczak, O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Smallest singular value of random matrices with independent columns," C. R., Math., Acad. Sci. Paris, 346 (2008), 853--856. PDF, PS.
  9. O. Guedon, A. E. Litvak, "Euclidean projections of p-convex body," GAFA, Lecture Notes in Math., 1745, 95--108, Springer-Verlag, 2000. PDF, PS.
A. Hinrichs
  1. O. Guedon, A. Hinrichs, A. E. Litvak, J. Prochno, "On the expectation of operator norms of random matrices," GAFA, Lecture Notes in Math., 2169 (2017), 151--162. PDF.
Z. Kabluchko
  1. Z. Kabluchko, A. E. Litvak, D. Zaporozhets, "On the expected maximum of correlated Gaussian variables," Zapiski Nauchnykh Seminarov POMI, 442 (2015), 75--96; English translation: Journal of Math. Sciences, 225 (2017), 770--787. PDF.
N. J. Kalton
  1. N. J. Kalton, A. E. Litvak, "A remark on quotients of finite-dimensional quasi-normed spaces," Houston Journal of Math., 28 (2002), 585--597. PDF, PS.
R. Latala
  1. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Tail estimates for norms of sums of log-concave random vectors," Proc. London Math. Soc., 108 (2014), 600--637. PDF, PS.
  2. R. Adamczak, O. Guedon, R. Latala, A. E. Litvak, K. Oleszkiewicz, A. Pajor, N. Tomczak-Jaegermann, "Moment estimates for convex measures," Electron. J. Probab., 17 no. 101 (2012), 1-19. PDF, PS.
  3. R. Adamczak, R. Latala, A. E. Litvak, K. Oleszkiewicz, A. Pajor, N. Tomczak-Jaegermann, "A short proof of Paouris' inequality," Canadian Math. Bull, 57 (2014), 3--8. PDF, PS.
  4. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Chevet type inequality and norms of submatrices," Studia Math., 210 (2012), 35-56. PDF, PS.
  5. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Geometry of log-concave Ensembles of random matrices and approximate reconstruction," C.R. Math. Acad. Sci. Paris, 349 (2011), 783--786. PDF, PS.
G.V. Livshyts
  1. A. E. Litvak, G. V. Livshyts, "New bounds on the minimal dispersion," J. of Complexity, 72 (2022), 101648. PDF.
A. Lytova
  1. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Circular law for sparse random regular digraphs," Journal of the European Mathematical Society, 23 (2021), 467--501. PDF.
  2. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Structure of eigenvectors of random regular digraphs," Trans. Amer. Math. Soc., 371 (2019), 8097--8172. PDF.
  3. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "The smallest singular value of a shifted $d$-regular random square matrix," Prob. Th. Rel. Fields, 173 (2019), 1301--1347. PDF.
  4. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "The rank of random regular digraphs of constant degree," J. of Complexity, 48 (2018), 103--110. PDF.
  5. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Adjacency matrices of random digraphs: singularity and anti-concentration," J. of Math. Analysis and Appl., 445 (2017), 1447--1491. Winner of 2017 JMAA Ames Award. PDF, PS.
  6. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Anti-concentration property for random digraphs and invertibility of their adjacency matrices," C.R. Math. Acad. Sci. Paris, 354 (2016), 121--124. PDF, PS,
P. Mankiewicz
  1. A. E. Litvak, P. Mankiewicz, N. Tomczak-Jaegermann, "Randomized Isomorphic Dvoretzky Theorem," C.R. Acad. Sci. Paris, Ser 1, Math., 335 (2002), 345--350. PDF, PS.
S. Mendelson
  1. Y. Gordon, A. E. Litvak, S. Mendelson, A. Pajor, "Gaussian averages of interpolated bodies and applications to approximate reconstruction," J. of Approx. Theory, 149 (2007), 59--73. PDF, PS
M. Merzbacher
  1. D. Galicer, A. E. Litvak, M. Merzbacher, D. Pinasco, "On the volume ratio of projections of convex bodies," J. of Funct. Anal., 286 (2024), 110242. PDF.
M. Meyer
  1. Y. Gordon, A. E. Litvak, M. Meyer, A. Pajor, "John's decomposition in the general case and applications," J. of Diff. Geometry, 68 (2004), 99--119. PDF, PS. 
V.D. Milman
  1. A. E. Litvak, V. D. Milman, N. Tomczak-Jaegermann, "Essentially-Euclidean convex bodies," Studia Math., 196 (2010), 207--221. PDF, PS.
  2. A. E. Litvak, V. D. Milman, A. Pajor, N. Tomczak-Jaegermann, "On the Euclidean metric entropy of convex bodies," GAFA, Lecture Notes in Math., 1910, 221--235, Springer, Berlin, 2007. PDF, PS.
  3. A. E. Litvak, V. D. Milman, A. Pajor, N. Tomczak-Jaegermann, "Entropy extension," Funct. Anal. Appl., 40 (2006), 298--303. PDF, PS.
  4. A. E. Litvak, V. D. Milman, N. Tomczak-Jaegermann, "When random proportional subspaces are also random quotients," J. of Funct. Anal., 213 (2004), 270--289. PDF, PS.
  5. A. E. Litvak, V. D. Milman, N. Tomczak-Jaegermann, "Isomorphic random subspaces and quotients of convex and quasi-convex bodies," GAFA, Lecture Notes in Math., 1850, 159--178, Springer-Verlag, 2004. PDF, PS.
  6. A. E. Litvak, V. D. Milman, "Euclidean sections of direct sums of normed spaces," Can. Math. Bull., 46 (2003), 242--251. PDF, PS.
  7. A. E. Litvak, V. D. Milman, A. Pajor, "Covering numbers and "low M*-estimate" for quasi-convex bodies," Proc. Amer. Math. Soc., 127 (1999), 1499--1507. PDF, PS.
  8. A. E. Litvak, V. D. Milman, G. Schechtman, "Averages of norms and quasi-norms," Math. Ann., 312 (1998), 95--124. PDF, PS.
  9. A. E. Litvak, V. D. Milman, G. Schechtman, "Averages of norms and behaviour of families of projective caps on the sphere," C.R. Acad. Sci. Paris, Ser 1, Math., 325 (1997), 289--294. PDF, PS.

K. Oleszkiewicz
  1. R. Adamczak, O. Guedon, R. Latala, A. E. Litvak, K. Oleszkiewicz, A. Pajor, N. Tomczak-Jaegermann, "Moment estimates for convex measures," Electron. J. Probab., 17 no. 101 (2012), 1-19. PDF, PS.
  2. R. Adamczak, R. Latala, A. E. Litvak, K. Oleszkiewicz, A. Pajor, N. Tomczak-Jaegermann, "A short proof of Paouris' inequality," Canadian Math. Bull, 57 (2014), 3--8. PDF, PS.

A. Pajor
  1. O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "On the interval of fluctuation of the singular values of random matrices," Journal of the European Mathematical Society, 19 (2017), 1469--1505. PDF, PS.
  2. O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Restricted isometry property for random matrices with heavy tailed columns," C.R. Math. Acad. Sci. Paris, 352 (2014), 431--434. PDF, PS.
  3. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Tail estimates for norms of sums of log-concave random vectors," Proc. London Math. Soc., 108 (2014), 600--637. PDF, PS.
  4. R. Adamczak, O. Guedon, R. Latala, A. E. Litvak, K. Oleszkiewicz, A. Pajor, N. Tomczak-Jaegermann, "Moment estimates for convex measures," Electron. J. Probab., 17 no. 101 (2012), 1-19. PDF, PS.
  5. R. Adamczak, R. Latala, A. E. Litvak, K. Oleszkiewicz, A. Pajor, N. Tomczak-Jaegermann, "A short proof of Paouris' inequality," Canadian Math. Bull, 57 (2014), 3--8. PDF, PS.
  6. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Chevet type inequality and norms of submatrices," Studia Math., 210 (2012), 35-56. PDF, PS.
  7. R. Adamczak, O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Condition number of a square matrix with i.i.d. columns drawn from a convex body," Proc. Amer. Math. Soc., 140 (2012), 987--998. PDF, PS.
  8. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Geometry of log-concave Ensembles of random matrices and approximate reconstruction," C.R. Math. Acad. Sci. Paris, 349 (2011), 783--786. PDF, PS.
  9. R. Adamczak, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Sharp bounds on the rate of convergence of empirical covariance matrix," C.R. Math. Acad. Sci. Paris, 349 (2011), 195--200. PDF, PS.
  10. R. Adamczak, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling," Constructive Approximation, 34 (2011), 61--88. PDF, PS.
  11. R. Adamczak, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Quantitative estimates of the convergence of the empirical covariance matrix in Log-concave Ensembles," Journal of AMS, 234 (2010), 535--561. PDF, PS.
  12. R. Adamczak, O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Smallest singular value of random matrices with independent columns," C. R., Math., Acad. Sci. Paris, 346 (2008), 853--856. PDF, PS.
  13. Y. Gordon, A. E. Litvak, S. Mendelson, A. Pajor, "Gaussian averages of interpolated bodies and applications to approximate reconstruction," J. of Approx. Theory, 149 (2007), 59--73. PDF, PS.
  14. A. E. Litvak, V. D. Milman, A. Pajor, N. Tomczak-Jaegermann, "On the Euclidean metric entropy of convex bodies," GAFA, Lecture Notes in Math., 1910, 221--235, Springer, Berlin, 2007. PDF, PS.
  15. Y. Gordon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Random $\eps$ nets and embeddings in $\ell^N_\infty$," Stud. Math., 178 (2007), 91--98. PDF, PS.
  16. A. E. Litvak, V. D. Milman, A. Pajor, N. Tomczak-Jaegermann, "Entropy extension," Funct. Anal. Appl., 40 (2006), 298--303. PDF, PS.
  17. A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Diameters of Sections and Coverings of Convex Bodies," J. of Funct. Anal., 231 (2006), 438--457. PDF, PS.
  18. A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R. Vershynin, "Euclidean embeddings in spaces of finite volume ratio via random matrices," J. Reine Angew. Math., 589 (2005), 1--19. PDF, PS.
  19. A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, "Smallest singular value of random matrices and geometry of random polytopes," Adv. Math., 195 (2005), 491--523. PDF, PS.
  20. Y. Gordon, A. E. Litvak, M. Meyer, A. Pajor, "John's decomposition in the general case and applications," J. of Diff. Geometry, 68 (2004), 99--119. PDF, PS.
  21. A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R. Vershynin, "Random Euclidean embeddings in spaces of bounded volume ratio," C.R. Acad. Sci. Paris, Ser 1, Math., 339 (2004), 33--38. PDF, PS.
  22. W. Banaszczyk, A. E. Litvak, A. Pajor, S. J. Szarek, "The flatness theorem for non-symmetric convex bodies via the local theory of Banach spaces," Math. of Oper. Research., 24 (1999), 728--750. PDF, PS.
  23. A. E. Litvak, V. D. Milman, A. Pajor, "Covering numbers and "low M*-estimate" for quasi-convex bodies," Proc. Amer. Math. Soc., 127 (1999), 1499--1507. PDF, PS.
D. Pinasco
  1. D. Galicer, A. E. Litvak, M. Merzbacher, D. Pinasco, "On the volume ratio of projections of convex bodies," J. of Funct. Anal., 286 (2024), 110242. PDF.
J. Prochno
  1. O. Guedon, A. Hinrichs, A. E. Litvak, J. Prochno, "On the expectation of operator norms of random matrices," GAFA, Lecture Notes in Math., 2169 (2017), 151--162. PDF.
O. Rivasplata
  1. A. E. Litvak, O. Rivasplata, "Smallest singular value of sparse random matrices," Stud. Math., 212 (2012), 195--218. PDF, PS.
M. Rudelson
  1. A. E. Litvak, M. Rudelson, N. Tomczak-Jaegermann, "On approximation by projections of polytopes with few facets," Israel Journal of Math., 203 (2014), 141--160. PDF, PS.
  2. A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R. Vershynin, "Euclidean embeddings in spaces of finite volume ratio via random matrices," J. Reine Angew. Math., 589 (2005), 1--19. PDF, PS.
  3. A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, "Smallest singular value of random matrices and geometry of random polytopes," Adv. Math., 195 (2005), 491--523. PDF, PS.
  4. A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R. Vershynin, "Random Euclidean embeddings in spaces of bounded volume ratio," C.R. Acad. Sci. Paris, Ser 1, Math., 339 (2004), 33--38. PDF, PS.
G. Schechtman
  1. A. E. Litvak, V. D. Milman, G. Schechtman, "Averages of norms and quasi-norms," Math. Ann., 312 (1998), 95--124. PDF, PS.
  2. A. E. Litvak, V. D. Milman, G. Schechtman, "Averages of norms and behaviour of families of projective caps on the sphere," C.R. Acad. Sci. Paris, Ser 1, Math., 325 (1997), 289--294. PDF, PS.
C. Schuett
  1. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Uniform estimates for order statistics and Orlicz functions," Positivity, 16 (2012), 1--28. PDF, PS.
  2. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "On the minimum of several random variables," Proc. AMS, 134 (2006), 3665--3675. PDF, PS.
  3. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Minima of sequences of Gaussian random variables," C.R. Acad. Sci. Paris, Ser 1, Math., 340 (2005), 445--448. PDF, PS.
  4. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Geometry of spaces between zonoids and polytopes," Bull. Sci. Math., 126 (2002), 733--762. PDF, PS.
  5. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Orlicz Norms of Sequences of Random Variables," Ann. Probab., 30 (2002), 1833--1853. PDF, PS.
S. Spektor
  1. A. E. Litvak, S. Spektor, "Quantitative version of a Silverstein's result," GAFA, Lecture Notes in Math., 2116 (2014), 335--340. PDF, PS.
S. J. Szarek
  1. W. Banaszczyk, A. E. Litvak, A. Pajor, S. J. Szarek, "The flatness theorem for non-symmetric convex bodies via the local theory of Banach spaces," Math. of Oper. Research., 24 (1999), 728--750. PDF, PS.
C. Szepesvari
  1. D. Janz, A. E. Litvak, C. Szepesvari, "Ensemble sampling for linear bandits: small ensembles suffice," submitted. PDF.
K. Tatarko
  1. O. Guedon, A. E. Litvak, K. Tatarko, "Random polytopes obtained by matrices with heavy tailed entries," Commun. Contemp. Math., to appear. PDF.
K. Tikhomirov
  1. A. E. Litvak, K. Tikhomirov, "Singularity of sparse Bernoulli matrices," Duke Math. Journal, 171 (2022), 1135--1233. PDF.
  2. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Circular law for sparse random regular digraphs," Journal of the European Mathematical Society, 23 (2021), 467--501. PDF.
  3. A. E. Litvak, K. Tikhomirov, N. Tomczak-Jaegermann, "Small ball probability for the condition number of random matrices," GAFA, Lecture Notes in Math., 2266 (2020), 125--137. PDF.
  4. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Structure of eigenvectors of random regular digraphs," Trans. Amer. Math. Soc., 371 (2019), 8097--8172. PDF.
  5. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "The smallest singular value of a shifted $d$-regular random square matrix," Prob. Th. Rel. Fields, 173 (2019), 1301--1347. PDF.
  6. A. E. Litvak, K. Tikhomirov, "Order statistics of vectors with dependent coordinates, and the Karhunen--Loeve basis," Annals of Applied Prob., 28 (2018), 2083--2104. PDF.
  7. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "The rank of random regular digraphs of constant degree," J. of Complexity, 48 (2018), 103--110. PDF.
  8. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Adjacency matrices of random digraphs: singularity and anti-concentration," J. of Math. Analysis and Appl., 445 (2017), 1447--1491. Winner of 2017 JMAA Ames Award. PDF, PS.
  9. A. E. Litvak, K. Tikhomirov, "Estimates for order statistics in terms of quantiles," Zapiski Nauchnykh Seminarov POMI, 457 (2017), 265--275; English translation: Journal of Math. Sciences, 238 (2019), 523--529. PDF, PS.
  10. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Anti-concentration property for random digraphs and invertibility of their adjacency matrices," C.R. Math. Acad. Sci. Paris, 354 (2016), 121--124. PDF, PS,
N. Tomczak-Jaegermann
  1. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Circular law for sparse random regular digraphs," Journal of the European Mathematical Society, 23 (2021), 467--501. PDF.
  2. A. E. Litvak, K. Tikhomirov, N. Tomczak-Jaegermann, "Small ball probability for the condition number of random matrices," GAFA, Lecture Notes in Math., 2266 (2020), 125--137. PDF.
  3. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Structure of eigenvectors of random regular digraphs," Trans. Amer. Math. Soc., 371 (2019), 8097--8172. PDF.
  4. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "The smallest singular value of a shifted $d$-regular random square matrix," Prob. Th. Rel. Fields, 173 (2019), 1301--1347. PDF.
  5. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "The rank of random regular digraphs of constant degree," J. of Complexity, 48 (2018), 103--110. PDF.
  6. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Adjacency matrices of random digraphs: singularity and anti-concentration," J. of Math. Analysis and Appl., Winner of 2017 JMAA Ames Award. 445 (2017), 1447--1491. PDF, PS.
  7. O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "On the interval of fluctuation of the singular values of random matrices," Journal of the European Mathematical Society, 19 (2017), 1469--1505. PDF, PS.
  8. D. Alonso-Gutierrez, A. E. Litvak, N. Tomczak-Jaegermann, "On the isotropic constant of random polytopes," Journal of Geometric Analysis, 26 (2016), 645--662. PDF, PS.
  9. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Anti-concentration property for random digraphs and invertibility of their adjacency matrices," C.R. Math. Acad. Sci. Paris, 354 (2016), 121--124. PDF, PS.
  10. A. E. Litvak, M. Rudelson, N. Tomczak-Jaegermann, "On approximation by projections of polytopes with few facets," Israel Journal of Math., 203 (2014), 141--160. PDF, PS.
  11. O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Restricted isometry property for random matrices with heavy tailed columns," C.R. Math. Acad. Sci. Paris, 352 (2014), 431--434. PDF, PS.
  12. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Tail estimates for norms of sums of log-concave random vectors," Proc. London Math. Soc., 108 (2014), 600--637. PDF, PS.
  13. R. Adamczak, O. Guedon, R. Latala, A. E. Litvak, K. Oleszkiewicz, A. Pajor, N. Tomczak-Jaegermann, "Moment estimates for convex measures," Electron. J. Probab., 17 no. 101 (2012), 1-19. PDF, PS.
  14. R. Adamczak, R. Latala, A. E. Litvak, K. Oleszkiewicz, A. Pajor, N. Tomczak-Jaegermann, "A short proof of Paouris' inequality," Canadian Math. Bull, 57 (2014), 3--8. PDF, PS.
  15. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Chevet type inequality and norms of submatrices," Studia Math., 210 (2012), 35-56. PDF, PS.
  16. R. Adamczak, O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Condition number of a square matrix with i.i.d. columns drawn from a convex body," Proc. Amer. Math. Soc., 140 (2012), 987--998. PDF, PS.
  17. R. Adamczak, R. Latala, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Geometry of log-concave Ensembles of random matrices and approximate reconstruction," C.R. Math. Acad. Sci. Paris, 349 (2011), 783--786. PDF, PS.
  18. R. Adamczak, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Sharp bounds on the rate of convergence of empirical covariance matrix," C.R. Math. Acad. Sci. Paris, 349 (2011), 195--200. PDF, PS.
  19. R. Adamczak, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling," Constructive Approximation, 34 (2011), 61--88. PDF, PS.
  20. A. E. Litvak, V. D. Milman, N. Tomczak-Jaegermann, "Essentially-Euclidean convex bodies," Studia Math., 196 (2010), 207--221. PDF, PS.
  21. R. Adamczak, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Quantitative estimates of the convergence of the empirical covariance matrix in Log-concave Ensembles," Journal of AMS, 234 (2010), 535--561. PDF, PS.
  22. R. Adamczak, O. Guedon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Smallest singular value of random matrices with independent columns," C. R., Math., Acad. Sci. Paris, 346 (2008), 853--856. PDF, PS.
  23. A. E. Litvak, V. D. Milman, A. Pajor, N. Tomczak-Jaegermann, "On the Euclidean metric entropy of convex bodies," GAFA, Lecture Notes in Math., 1910, 221--235, Springer, Berlin, 2007. PDF, PS.
  24. Y. Gordon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Random $\eps$ nets and embeddings in $\ell^N_\infty$," Stud. Math., 178 (2007), 91--98. PDF, PS.
  25. A. E. Litvak, V. D. Milman, A. Pajor, N. Tomczak-Jaegermann, "Entropy extension," Funct. Anal. Appl., 40 (2006), 298--303. PDF, PS.
  26. A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, "Diameters of Sections and Coverings of Convex Bodies," J. of Funct. Anal., 231 (2006), 438--457. PDF, PS.
  27. A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R. Vershynin, "Euclidean embeddings in spaces of finite volume ratio via random matrices," J. Reine Angew. Math., 589 (2005), 1--19. PDF, PS.
  28. A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, "Smallest singular value of random matrices and geometry of random polytopes," Adv. Math., 195 (2005), 491--523. PDF, PS.
  29. A. E. Litvak, V. D. Milman, N. Tomczak-Jaegermann, "When random proportional subspaces are also random quotients," J. of Funct. Anal., 213 (2004), 270--289. PDF, PS.
  30. A. E. Litvak, V. D. Milman, N. Tomczak-Jaegermann, "Isomorphic random subspaces and quotients of convex and quasi-convex bodies," GAFA, Lecture Notes in Math., 1850, 159--178, Springer-Verlag, 2004. PDF, PS.
  31. A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R. Vershynin, "Random Euclidean embeddings in spaces of bounded volume ratio," C.R. Acad. Sci. Paris, Ser 1, Math., 339 (2004), 33--38. PDF, PS.
  32. A. E. Litvak, P. Mankiewicz, N. Tomczak-Jaegermann, "Randomized Isomorphic Dvoretzky Theorem," C.R. Acad. Sci. Paris, Ser 1, Math., 335 (2002), 345--350. PDF, PS.
  33. E. D. Gluskin, A. E. Litvak, N. Tomczak-Jaegermann, "An example of the body without symmetric projections," Israel Journal of Math., 124 (2001), 267--277. PDF, PS.
  34. A. E. Litvak, N. Tomczak-Jaegermann, "Random aspects of high-dimensional convex bodies," GAFA, Lecture Notes in Math., 1745, 169--190, Springer-Verlag, 2000. PDF, PS.
 R. Vershynin
  1. A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R. Vershynin, "Euclidean embeddings in spaces of finite volume ratio via random matrices," J. Reine Angew. Math., 589 (2005), 1--19. PDF, PS.
  2. A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R. Vershynin, "Random Euclidean embeddings in spaces of bounded volume ratio," C.R. Acad. Sci. Paris, Ser 1, Math., 339 (2004), 33--38. PDF, PS.
E. Werner
  1. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Uniform estimates for order statistics and Orlicz functions," Positivity, 16 (2012), 1--28. PDF, PS.
  2. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "On the minimum of several random variables," Proc. AMS, 134 (2006), 3665--3675. PDF, PS.
  3. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Minima of sequences of Gaussian random variables," C.R. Acad. Sci. Paris, Ser 1, Math., 340 (2005), 445--448. PDF, PS.
  4. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Geometry of spaces between zonoids and polytopes," Bull. Sci. Math., 126 (2002), 733--762. PDF, PS.
  5. Y. Gordon, A. E. Litvak, C. Schuett, E. Werner, "Orlicz Norms of Sequences of Random Variables," Ann. Probab., 30 (2002), 1833--1853. PDF, PS.

P. Youssef
  1. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Circular law for sparse random regular digraphs," Journal of the European Mathematical Society, 23 (2021), 467--501. PDF.
  2. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Structure of eigenvectors of random regular digraphs," Trans. Amer. Math. Soc., 371 (2019), 8097--8172. PDF.
  3. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "The smallest singular value of a shifted $d$-regular random square matrix," Prob. Th. Rel. Fields, 173 (2019), 1301--1347. PDF.
  4. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "The rank of random regular digraphs of constant degree," J. of Complexity, 48 (2018), 103--110. PDF.
  5. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Adjacency matrices of random digraphs: singularity and anti-concentration," J. of Math. Analysis and Appl., 445 (2017), 1447--1491. Winner of 2017 JMAA Ames Award. PDF, PS.
  6. A. E. Litvak, A. Lytova, K. Tikhomirov, N. Tomczak-Jaegermann, P. Youssef, "Anti-concentration property for random digraphs and invertibility of their adjacency matrices," C.R. Math. Acad. Sci. Paris, 354 (2016), 121--124. PDF, PS,
D. Zaporozhets
  1. A. E. Litvak, D. Zaporozhets, "Random Section and Random Simplex Inequality," Zapiski Nauchnykh Seminarov POMI, 505 (2021), 162--171; English translation: Journal of Math. Sciences, 281 (2024), 111--117. PDF.
  2. Z. Kabluchko, A. E. Litvak, D. Zaporozhets, "On the expected maximum of correlated Gaussian variables," Zapiski Nauchnykh Seminarov POMI, 442 (2015), 75--96; English translation: Journal of Math. Sciences, 225 (2017), 770--787. PDF.
K. Zyczkowski
  1. B. Collins, P. Gawron, A. E. Litvak, K. Zyczkowski, "Numerical range for random matrices," J. of Math. Analysis and Appl., 418 (2014), 516--533. PDF