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Tomczak-Jaegermann, Nicole

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Author ID: tomczak-jaegermann.nicole Recent zbMATH articles by "Tomczak-Jaegermann, Nicole"
Published as: Tomczak-Jaegermann, Nicole; Tomczak-Jaegermann, N.; Tomczak-Jaegerman, Nicole
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Serials

13 Israel Journal of Mathematics
10 Studia Mathematica
10 Journal of Functional Analysis
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Proceedings of the American Mathematical Society
5 Geometric and Functional Analysis. GAFA
3 Constructive Approximation
2 Journal of Mathematical Analysis and Applications
2 Advances in Mathematics
2 Canadian Journal of Mathematics
2 Illinois Journal of Mathematics
2 Journal für die Reine und Angewandte Mathematik
2 Transactions of the American Mathematical Society
2 Discrete & Computational Geometry
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Positivity
2 Journal of the European Mathematical Society (JEMS)
1 Houston Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Arkiv för Matematik
1 American Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Compositio Mathematica
1 Functional Analysis and its Applications
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Mathematika
1 Proceedings of the London Mathematical Society. Third Series
1 Probability Theory and Related Fields
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 The Journal of Geometric Analysis
1 Bulletin de l’Académie Polonaise des Sciences. Série des Sciences Mathématiques
1 Electronic Journal of Probability
1 Documenta Mathematica
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Fields Institute Communications
1 Pitman Monographs and Surveys in Pure and Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 1,447 times in 963 Documents Cited by Year
Banach-Mazur distances and finite-dimensional operator ideals. Zbl 0721.46004
Tomczak-Jaegermann, Nicole
219
1989
Smallest singular value of random matrices and geometry of random polytopes. Zbl 1077.15021
Litvak, A. E.; Pajor, A.; Rudelson, M.; Tomczak-Jaegermann, N.
91
2005
The modulii of smoothness and convexity and the Rademacher averages of trace classes \(S_p(1 \leq p \infty)\). Zbl 0282.46016
Tomczak-Jaegermann, Nicole
61
1974
Subspaces of small codimension of finite-dimensional Banach spaces. Zbl 0623.46008
Pajor, Alain; Tomczak-Jaegermann, Nicole
57
1986
Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles. Zbl 1206.60006
Adamczak, Radosław; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
54
2010
Reconstruction and subgaussian operators in asymptotic geometric analysis. Zbl 1163.46008
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
51
2007
The complex convexity of quasi-normed linear spaces. Zbl 0552.46012
Davis, William J.; Garling, D. J. H.; Tomczak-Jaegermann, Nicole
50
1984
Uniform uncertainty principle for Bernoulli and subgaussian ensembles. Zbl 1230.46011
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
42
2008
On nearly Euclidean decomposition for some classes of Banach spaces. Zbl 0432.46018
Szarek, Stanislaw J.; Tomczak-Jaegermann, Nicole
42
1980
Projections onto Hilbertian subspaces of Banach spaces. Zbl 0427.46010
Figiel, T.; Tomczak-Jaegermann, Nicole
41
1979
On the eigenvalues of (p,2)-summing operators and constants associated with normed spaces. Zbl 0434.47033
König, Hermann; Retherford, James R.; Tomczak-Jaegermann, Nicole
35
1980
Asymptotic infinite-dimensional theory of Banach spaces. Zbl 0872.46013
Maurey, B.; Milman, V. D.; Tomczak-Jaegermann, N.
33
1995
Computing 2-summing norm with few vectors. Zbl 0436.47033
Tomczak-Jaegermann, Nicole
31
1979
Norms of minimal projections. Zbl 0818.46015
König, Hermann; Tomczak-Jaegermann, Nicole
28
1994
Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling. Zbl 1222.52009
Adamczak, R.; Litvak, A. E.; Pajor, A.; Tomczak-Jaegermann, N.
24
2011
Proximity to \(\ell_ 1\) and distortion in asymptotic \(\ell_ 1\) spaces. Zbl 0890.46015
Odell, Edward; Tomczak-Jaegermann, Nicole; Wagner, Roy
23
1997
Dualité des nombres d’entropie pour des opérateurs à valeurs dans un espace de Hilbert. (Duality of entropy numbers of operators with values in a Hilbert space). Zbl 0623.47020
Tomczak-Jaegermann, Nicole
21
1987
On the duality problem for entropy numbers of operators. Zbl 0678.47015
Bourgain, J.; Pajor, A.; Szarek, S. J.; Tomczak-Jaegermann, N.
21
1989
Quotients of finite-dimensional Banach spaces; random phenomena. Zbl 1057.46010
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
20
2003
Adjacency matrices of random digraphs: singularity and anti-concentration. Zbl 1344.05126
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
19
2017
On the structure of the spreading models of a Banach space. Zbl 1090.46004
Androulakis, G.; Odell, E.; Schlumprecht, Th.; Tomczak-Jaegermann, N.
19
2005
On norm closed ideals in \(L(\ell_p,\ell_q)\). Zbl 1116.47058
Sari, B.; Schlumprecht, Th.; Tomczak-Jaegermann, N.; Troitsky, V. G.
19
2007
Banach spaces without local unconditional structure. Zbl 0830.46008
Komorowski, Ryszard A.; Tomczak-Jaegermann, Nicole
18
1995
Projection constants of symmetric spaces and variants of Khintchine’s inequality. Zbl 0926.46008
König, Hermann; Schütt, Carsten; Tomczak-Jaegermann, Nicole
17
1999
Asymptotic \(\ell_ p\) spaces and bounded distortions. Zbl 0822.46007
Milman, Vitali D.; Tomczak-Jaegermann, Nicole
16
1993
Sharp bounds on the rate of convergence of the empirical covariance matrix. Zbl 1208.60006
Adamczak, Radosław; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
15
2011
The cotype and uniform convexity of unitary ideals. Zbl 0544.46012
Garling, D. J. H.; Tomczak-Jaegermann, Nicole
13
1983
Bounds for projection constants and 1-summing norms. Zbl 0713.46012
König, Hermann; Tomczak-Jaegermann, Nicole
13
1990
Remarques sur les nombres d’entropie d’un opérateur et de son transposé (Some remarks on entropy numbers of an operator and its dual). Zbl 0582.47022
Pajor, Alain; Tomczak-Jaegermann, Nicole
13
1985
A short proof of Paouris’ inequality. Zbl 1329.46014
Adamczak, Radosław; Latała, Rafał; Litvak, Alexander E.; Oleszkiewicz, Krzysztof; Pajor, Alain; Tomczak-Jaegermann, Nicole
12
2014
Uniform convexity of unitary ideals. Zbl 0598.47047
Tomczak-Jaegermann, Nicole
12
1984
Banach spaces of type \(p\) have arbitrarily distortable subspaces. Zbl 0867.46012
Tomczak-Jaegermann, N.
11
1996
Random aspects of high-dimensional convex bodies. Zbl 0986.52003
Litvak, A. E.; Tomczak-Jaegermann, N.
11
2000
Volume ratio and other s-numbers of operators related to local properties of Banach spaces. Zbl 0717.46010
Pajor, Alain; Tomczak-Jaegermann, Nicole
10
1989
Subspaces and orthogonal decompositions generated by bounded orthogonal systems. Zbl 1126.46007
Guédon, Olivier; Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
10
2007
Hilbertian and complemented finite-dimensional subspaces of Banach lattices and unitary ideals. Zbl 0422.46019
Lewis, D. R.; Tomczak-Jaegermann, Nicole
10
1980
Banach-Mazur distances and projections on random subgaussian polytopes. Zbl 1134.52016
Latala, Rafal; Mankiewicz, Piotr; Oleszkiewicz, Krzysztof; Tomczak-Jaegermann, Nicole
10
2007
Geometry of families of random projections of symmetric convex bodies. Zbl 1033.46011
Mankiewicz, P.; Tomczak-Jaegermann, N.
10
2001
Banach lattices with property \(( H )\) and weak Hilbert spaces. Zbl 0787.46018
Nielsen, N. J.; Tomczak-Jaegermann, N.
9
1992
The rank of random regular digraphs of constant degree. Zbl 1392.05100
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
9
2018
Orlicz spaces with convexity or concavity constant one. Zbl 1111.46010
Hao, Cuixia; Kamińska, Anna; Tomczak-Jaegermann, Nicole
8
2006
Diameters of sections and coverings of convex bodies. Zbl 1092.52004
Litvak, A. E.; Pajor, A.; Tomczak-Jaegermann, N.
8
2006
Majorizing measures and proportional subsets of bounded orthonormal systems. Zbl 1207.46015
Guédon, Olivier; Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
8
2008
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
8
2019
Moment estimates for convex measures. Zbl 1286.46014
Adamczak, Radosław; Guédon, Olivier; Latała, Rafał; Litvak, Alexander E.; Oleszkiewicz, Krzysztof; Pajor, Alain; Tomczak-Jaegermann, Nicole
7
2012
Random Euclidean embeddings in spaces of bounded volume ratio. Zbl 1049.46007
Litvak, Alexander; Pajor, Alain; Rudelson, Mark; Tomczak-Jaegermann, Nicole; Vershynin, Roman
7
2004
Smallest singular value of random matrices with independent columns. Zbl 1148.15003
Adamczak, Radosław; Guédon, Olivier; Litvak, Alexander; Pajor, Alain; Tomczak-Jaegermann, Nicole
7
2008
Condition number of a square matrix with i.i.d. columns drawn from a convex body. Zbl 1244.15024
Adamczak, Radosław; Guédon, Olivier; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
6
2012
Euclidean embeddings in spaces of finite volume ratio via random matrices. Zbl 1090.52002
Litvak, A. E.; Pajor, A.; Rudelson, M.; Tomczak-Jaegermann, N.; Vershynin, R.
6
2005
On approximation by projections of polytopes with few facets. Zbl 1310.52007
Litvak, Alexander E.; Rudelson, Mark; Tomczak-Jaegermann, Nicole
6
2014
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
6
2016
On the geometry of projective tensor products. Zbl 1375.46016
Giladi, Ohad; Prochno, Joscha; Schütt, Carsten; Tomczak-Jaegermann, Nicole; Werner, Elisabeth
6
2017
Tail estimates for norms of sums of log-concave random vectors. Zbl 1381.46012
Adamczak, Radosław; Latała, Rafał; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
6
2014
On the interval of fluctuation of the singular values of random matrices. Zbl 1405.60011
Guédon, Olivier; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
6
2017
Structure of eigenvectors of random regular digraphs. Zbl 1447.05091
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
6
2019
The distance between certain \(n\)-dimensional Banach spaces. Zbl 0475.46010
Davis, W. J.; Milman, V. D.; Tomczak-Jaegermann, Nicole
5
1981
Geometry of log-concave ensembles of random matrices and approximate reconstruction. Zbl 1225.60013
Adamczak, Radosław; Latała, Rafał; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
5
2011
On convexified packing and entropy duality. Zbl 1062.52023
Artstein, S.; Milman, V.; Szarek, S.; Tomczak-Jaegermann, N.
5
2004
Reconstruction and subgaussian processes. Zbl 1081.46013
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
5
2005
Circular law for sparse random regular digraphs. Zbl 1460.05174
Litvak, Alexander Evgen’evich; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
5
2021
On certain equivalent norms on Tsirelson’s space. Zbl 0957.46006
Odell, Edward W.; Tomczak-Jaegermann, Nicole
4
2000
Nombres de Gelfand et sections euclidiennes de grande dimension. (Gelfand numbers and euclidean sections of high dimension). Zbl 0659.46017
Pajor, A.; Tomczak-Jaegermann, N.
4
1985
The Banach-Mazur distance between the trace classes \(c^n_p\). Zbl 0391.46017
Tomczak-Jaegermann, Nicole
4
1978
A solution of the homogeneous Banach space problem. Zbl 1206.46019
Tomczak-Jaegermann, Nicole
4
1996
On the isotropic constant of random polytopes. Zbl 1338.52008
Alonso-Gutiérrez, David; Litvak, Alexander E.; Tomczak-Jaegermann, Nicole
4
2016
Volumetric invariants and operators on random families of Banach spaces. Zbl 1090.46006
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
4
2003
The weak distance between finite-dimensional Banach spaces. Zbl 0598.46013
Tomczak-Jaegermann, Nicole
4
1984
Random \(\varepsilon\)-nets and embeddings in \(\ell^N_\infty\). Zbl 1126.46006
Gordon, Y.; Litvak, A. E.; Pajor, A.; Tomczak-Jaegermann, N.
4
2007
Chevet type inequality and norms of submatrices. Zbl 1253.60005
Adamczak, Radosław; Latała, Rafał; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
3
2012
Saturating constructions for normed spaces. Zbl 1090.46007
Szarek, S. J.; Tomczak-Jaegermann, N.
3
2004
Erratum to: “Banach spaces without local unconditional structure”. Zbl 0923.46014
Komorowski, Ryszard A.; Tomczak-Jaegermann, Nicole
3
1998
RUC-systems and Besselian systems in Banach spaces. Zbl 0693.46004
Garling, D. J. H.; Tomczak-Jaegermann, N.
3
1989
A solution of the finite-dimensional homogeneous Banach space problem. Zbl 0779.46019
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
3
1991
On the Banach Mazur-distance between symmetric spaces. Zbl 0415.46016
Tomczak-Jaegermann, Nicole
3
1979
Finite-dimensional subspaces of uniformly convex and uniformly smooth Banach lattices and trace classes \(S_ p\). Zbl 0456.46019
Tomczak-Jaegermann, Nicole
3
1980
Subspaces of \(\ell_2(X)\) and \(\text{Rad}(X)\) without local unconditional structure. Zbl 0998.46010
Komorowski, Ryszard A.; Tomczak-Jaegermann, Nicole
3
2002
Spaces with maximal projection constants. Zbl 1054.46011
König, Hermann; Tomczak-Jaegermann, Nicole
3
2003
On the Euclidean metric entropy of convex bodies. Zbl 1132.52006
Litvak, A. E.; Milman, V. D.; Pajor, A.; Tomczak-Jaegermann, N.
3
2007
On he differentiability of the norm in trace classes \(S_p\). Zbl 0311.47007
Tomczak-Jaegermann, Nicole
3
1975
Restricted isometry property for random matrices with heavy-tailed columns. (Propriété d’isométrie restreinte de matrices aléatoires dont les colonnes sont à queues lourdes.) Zbl 1290.15025
Guédon, Olivier; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
3
2014
Schauder bases in quotients of subspaces of \(\ell_ 2(X)\). Zbl 0827.46010
Mankiewicz, Piotr; Tomczak-Jaegerman, Nicole
2
1994
The Banach-Mazur distance between symmetric spaces. Zbl 0531.46012
Tomczak-Jaegermann, Nicole
2
1983
Problems on Banach spaces. Zbl 0495.46016
Tomczak-Jaegermann, Nicole
2
1981
Essentially-Euclidean convex bodies. Zbl 1200.46019
Litvak, Alexander E.; Milman, Vitali D.; Tomczak-Jaegermann, Nicole
2
2010
Subspaces of \(\ell^ N_ p\) of small codimension. Zbl 0792.46010
Gluskin, E. D.; Tomczak-Jaegermann, N.; Tzafriri, L.
2
1992
Randomized isomorphic Dvoretzky theorem. Zbl 1016.52002
Litvak, Alexander; Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
2
2002
Geometric inequalities for a class of exponential measures. Zbl 1079.46004
König, Hermann; Tomczak-Jaegermann, Nicole
2
2005
A subgaussian embedding theorem. Zbl 1183.46010
Mendelson, Shahar; Tomczak-Jaegermann, Nicole
2
2008
On the length of faithful nuclear representations of finite rank operators. Zbl 0654.47007
Pełczynski, A.; Tomczak-Jaegermann, Nicole
1
1988
Finite-dimensional subspaces of uniformly convex and uniformly smooth Banach lattices and trace classes \(S_ p\). Zbl 0466.46027
Tomczak-Jaegermann, Nicole
1
1980
Projecting \(l_{\infty}\) onto classical spaces. Zbl 1181.46008
König, Hermann; Tomczak-Jaegermann, Nicole
1
2009
Embedding subspaces of \(\ell^ n_{\infty{}}\) into spaces with Schauder basis. Zbl 0787.46005
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
1
1993
Finite representability of \(\ell_p\) in quotients of Banach spaces. Zbl 0982.46011
Habala, Petr; Tomczak-Jaegermann, Nicole
1
2001
The distance between a symmetric space and a 2-convex or 2-concave space. Zbl 0468.46008
Tomczak-Jaegermann, Nicole
1
1981
Pathological properties and dichotomies for random quotients of finite- dimensional Banach spaces. Zbl 0758.46018
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
1
1991
Entropy extension. Zbl 1118.52014
Litvak, A. E.; Milman, V. D.; Pajor, A.; Tomczak-Jaegermann, N.
1
2006
On the nontrivial projection problem. Zbl 1179.46012
Szarek, Stanislaw J.; Tomczak-Jaegermann, Nicole
1
2009
Stability properties of neighbourly random polytopes. Zbl 1172.52008
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
1
2009
An example of a convex body without symmetric projections. Zbl 1021.52003
Gluskin, E. D.; Litvak, A. E.; Tomczak-Jaegermann, N.
1
2001
Stabilized asymptotic structures and envelopes in Banach spaces. Zbl 0987.46025
Milman, V. D.; Tomczak-Jaegermann, N.
1
2000
Circular law for sparse random regular digraphs. Zbl 1460.05174
Litvak, Alexander Evgen’evich; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
5
2021
Small ball probability for the condition number of random matrices. Zbl 07238070
Litvak, Alexander E.; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole
1
2020
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
8
2019
Structure of eigenvectors of random regular digraphs. Zbl 1447.05091
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
6
2019
The rank of random regular digraphs of constant degree. Zbl 1392.05100
Litvak, Alexander E.; Lytova, Anna; Tikhomirov, Konstantin; Tomczak-Jaegermann, Nicole; Youssef, Pierre
9
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
19
2017
On the geometry of projective tensor products. Zbl 1375.46016
Giladi, Ohad; Prochno, Joscha; Schütt, Carsten; Tomczak-Jaegermann, Nicole; Werner, Elisabeth
6
2017
On the interval of fluctuation of the singular values of random matrices. Zbl 1405.60011
Guédon, Olivier; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
6
2017
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
6
2016
On the isotropic constant of random polytopes. Zbl 1338.52008
Alonso-Gutiérrez, David; Litvak, Alexander E.; Tomczak-Jaegermann, Nicole
4
2016
A short proof of Paouris’ inequality. Zbl 1329.46014
Adamczak, Radosław; Latała, Rafał; Litvak, Alexander E.; Oleszkiewicz, Krzysztof; Pajor, Alain; Tomczak-Jaegermann, Nicole
12
2014
On approximation by projections of polytopes with few facets. Zbl 1310.52007
Litvak, Alexander E.; Rudelson, Mark; Tomczak-Jaegermann, Nicole
6
2014
Tail estimates for norms of sums of log-concave random vectors. Zbl 1381.46012
Adamczak, Radosław; Latała, Rafał; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
6
2014
Restricted isometry property for random matrices with heavy-tailed columns. (Propriété d’isométrie restreinte de matrices aléatoires dont les colonnes sont à queues lourdes.) Zbl 1290.15025
Guédon, Olivier; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
3
2014
Moment estimates for convex measures. Zbl 1286.46014
Adamczak, Radosław; Guédon, Olivier; Latała, Rafał; Litvak, Alexander E.; Oleszkiewicz, Krzysztof; Pajor, Alain; Tomczak-Jaegermann, Nicole
7
2012
Condition number of a square matrix with i.i.d. columns drawn from a convex body. Zbl 1244.15024
Adamczak, Radosław; Guédon, Olivier; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
6
2012
Chevet type inequality and norms of submatrices. Zbl 1253.60005
Adamczak, Radosław; Latała, Rafał; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
3
2012
Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling. Zbl 1222.52009
Adamczak, R.; Litvak, A. E.; Pajor, A.; Tomczak-Jaegermann, N.
24
2011
Sharp bounds on the rate of convergence of the empirical covariance matrix. Zbl 1208.60006
Adamczak, Radosław; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
15
2011
Geometry of log-concave ensembles of random matrices and approximate reconstruction. Zbl 1225.60013
Adamczak, Radosław; Latała, Rafał; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
5
2011
Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles. Zbl 1206.60006
Adamczak, Radosław; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole
54
2010
Essentially-Euclidean convex bodies. Zbl 1200.46019
Litvak, Alexander E.; Milman, Vitali D.; Tomczak-Jaegermann, Nicole
2
2010
Projecting \(l_{\infty}\) onto classical spaces. Zbl 1181.46008
König, Hermann; Tomczak-Jaegermann, Nicole
1
2009
On the nontrivial projection problem. Zbl 1179.46012
Szarek, Stanislaw J.; Tomczak-Jaegermann, Nicole
1
2009
Stability properties of neighbourly random polytopes. Zbl 1172.52008
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
1
2009
Uniform uncertainty principle for Bernoulli and subgaussian ensembles. Zbl 1230.46011
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
42
2008
Majorizing measures and proportional subsets of bounded orthonormal systems. Zbl 1207.46015
Guédon, Olivier; Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
8
2008
Smallest singular value of random matrices with independent columns. Zbl 1148.15003
Adamczak, Radosław; Guédon, Olivier; Litvak, Alexander; Pajor, Alain; Tomczak-Jaegermann, Nicole
7
2008
A subgaussian embedding theorem. Zbl 1183.46010
Mendelson, Shahar; Tomczak-Jaegermann, Nicole
2
2008
Reconstruction and subgaussian operators in asymptotic geometric analysis. Zbl 1163.46008
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
51
2007
On norm closed ideals in \(L(\ell_p,\ell_q)\). Zbl 1116.47058
Sari, B.; Schlumprecht, Th.; Tomczak-Jaegermann, N.; Troitsky, V. G.
19
2007
Subspaces and orthogonal decompositions generated by bounded orthogonal systems. Zbl 1126.46007
Guédon, Olivier; Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
10
2007
Banach-Mazur distances and projections on random subgaussian polytopes. Zbl 1134.52016
Latala, Rafal; Mankiewicz, Piotr; Oleszkiewicz, Krzysztof; Tomczak-Jaegermann, Nicole
10
2007
Random \(\varepsilon\)-nets and embeddings in \(\ell^N_\infty\). Zbl 1126.46006
Gordon, Y.; Litvak, A. E.; Pajor, A.; Tomczak-Jaegermann, N.
4
2007
On the Euclidean metric entropy of convex bodies. Zbl 1132.52006
Litvak, A. E.; Milman, V. D.; Pajor, A.; Tomczak-Jaegermann, N.
3
2007
Orlicz spaces with convexity or concavity constant one. Zbl 1111.46010
Hao, Cuixia; Kamińska, Anna; Tomczak-Jaegermann, Nicole
8
2006
Diameters of sections and coverings of convex bodies. Zbl 1092.52004
Litvak, A. E.; Pajor, A.; Tomczak-Jaegermann, N.
8
2006
Entropy extension. Zbl 1118.52014
Litvak, A. E.; Milman, V. D.; Pajor, A.; Tomczak-Jaegermann, N.
1
2006
Low dimensional sections versus projections of convex bodies. Zbl 1174.52003
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
1
2006
Smallest singular value of random matrices and geometry of random polytopes. Zbl 1077.15021
Litvak, A. E.; Pajor, A.; Rudelson, M.; Tomczak-Jaegermann, N.
91
2005
On the structure of the spreading models of a Banach space. Zbl 1090.46004
Androulakis, G.; Odell, E.; Schlumprecht, Th.; Tomczak-Jaegermann, N.
19
2005
Euclidean embeddings in spaces of finite volume ratio via random matrices. Zbl 1090.52002
Litvak, A. E.; Pajor, A.; Rudelson, M.; Tomczak-Jaegermann, N.; Vershynin, R.
6
2005
Reconstruction and subgaussian processes. Zbl 1081.46013
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
5
2005
Geometric inequalities for a class of exponential measures. Zbl 1079.46004
König, Hermann; Tomczak-Jaegermann, Nicole
2
2005
Saturating constructions for normed spaces. II. Zbl 1090.46008
Szarek, Stanislaw J.; Tomczak-Jaegermann, Nicole
1
2005
Random Euclidean embeddings in spaces of bounded volume ratio. Zbl 1049.46007
Litvak, Alexander; Pajor, Alain; Rudelson, Mark; Tomczak-Jaegermann, Nicole; Vershynin, Roman
7
2004
On convexified packing and entropy duality. Zbl 1062.52023
Artstein, S.; Milman, V.; Szarek, S.; Tomczak-Jaegermann, N.
5
2004
Saturating constructions for normed spaces. Zbl 1090.46007
Szarek, S. J.; Tomczak-Jaegermann, N.
3
2004
Isomorphic random subspaces and quotients of convex and quasi-convex bodies. Zbl 1071.52007
Litvak, A. E.; Milman, V. D.; Tomczak-Jaegermann, N.
1
2004
Quotients of finite-dimensional Banach spaces; random phenomena. Zbl 1057.46010
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
20
2003
Volumetric invariants and operators on random families of Banach spaces. Zbl 1090.46006
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
4
2003
Spaces with maximal projection constants. Zbl 1054.46011
König, Hermann; Tomczak-Jaegermann, Nicole
3
2003
Subspaces of \(\ell_2(X)\) and \(\text{Rad}(X)\) without local unconditional structure. Zbl 0998.46010
Komorowski, Ryszard A.; Tomczak-Jaegermann, Nicole
3
2002
Randomized isomorphic Dvoretzky theorem. Zbl 1016.52002
Litvak, Alexander; Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
2
2002
Geometry of families of random projections of symmetric convex bodies. Zbl 1033.46011
Mankiewicz, P.; Tomczak-Jaegermann, N.
10
2001
Finite representability of \(\ell_p\) in quotients of Banach spaces. Zbl 0982.46011
Habala, Petr; Tomczak-Jaegermann, Nicole
1
2001
An example of a convex body without symmetric projections. Zbl 1021.52003
Gluskin, E. D.; Litvak, A. E.; Tomczak-Jaegermann, N.
1
2001
Random aspects of high-dimensional convex bodies. Zbl 0986.52003
Litvak, A. E.; Tomczak-Jaegermann, N.
11
2000
On certain equivalent norms on Tsirelson’s space. Zbl 0957.46006
Odell, Edward W.; Tomczak-Jaegermann, Nicole
4
2000
Stabilized asymptotic structures and envelopes in Banach spaces. Zbl 0987.46025
Milman, V. D.; Tomczak-Jaegermann, N.
1
2000
Projection constants of symmetric spaces and variants of Khintchine’s inequality. Zbl 0926.46008
König, Hermann; Schütt, Carsten; Tomczak-Jaegermann, Nicole
17
1999
Erratum to: “Banach spaces without local unconditional structure”. Zbl 0923.46014
Komorowski, Ryszard A.; Tomczak-Jaegermann, Nicole
3
1998
Proximity to \(\ell_ 1\) and distortion in asymptotic \(\ell_ 1\) spaces. Zbl 0890.46015
Odell, Edward; Tomczak-Jaegermann, Nicole; Wagner, Roy
23
1997
Banach spaces of type \(p\) have arbitrarily distortable subspaces. Zbl 0867.46012
Tomczak-Jaegermann, N.
11
1996
A solution of the homogeneous Banach space problem. Zbl 1206.46019
Tomczak-Jaegermann, Nicole
4
1996
Asymptotic infinite-dimensional theory of Banach spaces. Zbl 0872.46013
Maurey, B.; Milman, V. D.; Tomczak-Jaegermann, N.
33
1995
Banach spaces without local unconditional structure. Zbl 0830.46008
Komorowski, Ryszard A.; Tomczak-Jaegermann, Nicole
18
1995
Norms of minimal projections. Zbl 0818.46015
König, Hermann; Tomczak-Jaegermann, Nicole
28
1994
Schauder bases in quotients of subspaces of \(\ell_ 2(X)\). Zbl 0827.46010
Mankiewicz, Piotr; Tomczak-Jaegerman, Nicole
2
1994
Asymptotic \(\ell_ p\) spaces and bounded distortions. Zbl 0822.46007
Milman, Vitali D.; Tomczak-Jaegermann, Nicole
16
1993
Embedding subspaces of \(\ell^ n_{\infty{}}\) into spaces with Schauder basis. Zbl 0787.46005
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
1
1993
Banach lattices with property \(( H )\) and weak Hilbert spaces. Zbl 0787.46018
Nielsen, N. J.; Tomczak-Jaegermann, N.
9
1992
Subspaces of \(\ell^ N_ p\) of small codimension. Zbl 0792.46010
Gluskin, E. D.; Tomczak-Jaegermann, N.; Tzafriri, L.
2
1992
A solution of the finite-dimensional homogeneous Banach space problem. Zbl 0779.46019
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
3
1991
Pathological properties and dichotomies for random quotients of finite- dimensional Banach spaces. Zbl 0758.46018
Mankiewicz, Piotr; Tomczak-Jaegermann, Nicole
1
1991
Bounds for projection constants and 1-summing norms. Zbl 0713.46012
König, Hermann; Tomczak-Jaegermann, Nicole
13
1990
Banach-Mazur distances and finite-dimensional operator ideals. Zbl 0721.46004
Tomczak-Jaegermann, Nicole
219
1989
On the duality problem for entropy numbers of operators. Zbl 0678.47015
Bourgain, J.; Pajor, A.; Szarek, S. J.; Tomczak-Jaegermann, N.
21
1989
Volume ratio and other s-numbers of operators related to local properties of Banach spaces. Zbl 0717.46010
Pajor, Alain; Tomczak-Jaegermann, Nicole
10
1989
RUC-systems and Besselian systems in Banach spaces. Zbl 0693.46004
Garling, D. J. H.; Tomczak-Jaegermann, N.
3
1989
Some Banach space properties of translation invariant subspaces of \(L^ p\). Zbl 0685.46017
Hare, Kathryn E.; Tomczak-Jaegermann, Nicole
1
1989
On the length of faithful nuclear representations of finite rank operators. Zbl 0654.47007
Pełczynski, A.; Tomczak-Jaegermann, Nicole
1
1988
Dualité des nombres d’entropie pour des opérateurs à valeurs dans un espace de Hilbert. (Duality of entropy numbers of operators with values in a Hilbert space). Zbl 0623.47020
Tomczak-Jaegermann, Nicole
21
1987
Subspaces of small codimension of finite-dimensional Banach spaces. Zbl 0623.46008
Pajor, Alain; Tomczak-Jaegermann, Nicole
57
1986
Remarques sur les nombres d’entropie d’un opérateur et de son transposé (Some remarks on entropy numbers of an operator and its dual). Zbl 0582.47022
Pajor, Alain; Tomczak-Jaegermann, Nicole
13
1985
Nombres de Gelfand et sections euclidiennes de grande dimension. (Gelfand numbers and euclidean sections of high dimension). Zbl 0659.46017
Pajor, A.; Tomczak-Jaegermann, N.
4
1985
The complex convexity of quasi-normed linear spaces. Zbl 0552.46012
Davis, William J.; Garling, D. J. H.; Tomczak-Jaegermann, Nicole
50
1984
Uniform convexity of unitary ideals. Zbl 0598.47047
Tomczak-Jaegermann, Nicole
12
1984
The weak distance between finite-dimensional Banach spaces. Zbl 0598.46013
Tomczak-Jaegermann, Nicole
4
1984
The cotype and uniform convexity of unitary ideals. Zbl 0544.46012
Garling, D. J. H.; Tomczak-Jaegermann, Nicole
13
1983
The Banach-Mazur distance between symmetric spaces. Zbl 0531.46012
Tomczak-Jaegermann, Nicole
2
1983
The distance between certain \(n\)-dimensional Banach spaces. Zbl 0475.46010
Davis, W. J.; Milman, V. D.; Tomczak-Jaegermann, Nicole
5
1981
Problems on Banach spaces. Zbl 0495.46016
Tomczak-Jaegermann, Nicole
2
1981
The distance between a symmetric space and a 2-convex or 2-concave space. Zbl 0468.46008
Tomczak-Jaegermann, Nicole
1
1981
On nearly Euclidean decomposition for some classes of Banach spaces. Zbl 0432.46018
Szarek, Stanislaw J.; Tomczak-Jaegermann, Nicole
42
1980
On the eigenvalues of (p,2)-summing operators and constants associated with normed spaces. Zbl 0434.47033
König, Hermann; Retherford, James R.; Tomczak-Jaegermann, Nicole
35
1980
Hilbertian and complemented finite-dimensional subspaces of Banach lattices and unitary ideals. Zbl 0422.46019
Lewis, D. R.; Tomczak-Jaegermann, Nicole
10
1980
Finite-dimensional subspaces of uniformly convex and uniformly smooth Banach lattices and trace classes \(S_ p\). Zbl 0456.46019
Tomczak-Jaegermann, Nicole
3
1980
Finite-dimensional subspaces of uniformly convex and uniformly smooth Banach lattices and trace classes \(S_ p\). Zbl 0466.46027
Tomczak-Jaegermann, Nicole
1
1980
Projections onto Hilbertian subspaces of Banach spaces. Zbl 0427.46010
Figiel, T.; Tomczak-Jaegermann, Nicole
41
1979
...and 5 more Documents
all top 5

Cited by 848 Authors

55 Tomczak-Jaegermann, Nicole
39 Mendelson, Shahar
33 Litvak, Aleksandr Evgen’evich
29 Pajor, Alain
22 Defant, Andreas
22 Milman, Vitali D.
22 Vershynin, Roman
20 Rudelson, Mark
19 Tikhomirov, Konstantin E.
17 Junge, Marius
17 Prochno, Joscha
16 Guédon, Olivier
15 Argyros, Spiros A.
15 Carl, Bernd
15 Paouris, Grigoris
14 Pisier, Gilles
14 Szarek, Stanislaw Jerzy
13 Schlumprecht, Thomas
12 Bourgain, Jean
12 Giannopoulos, Apostolos A.
12 Odell, Edward
11 Lewicki, Grzegorz
11 Naor, Assaf
11 Popa, Dumitru
10 Adamczak, Radosław
10 Chalmers, Bruce Longworthy
10 Mastyło, Mieczysław
10 Motakis, Pavlos
9 Gordon, Yehoram
9 Rauhut, Holger
9 Thäle, Christoph
8 Alonso-Gutiérrez, David
8 Johnson, William Buhmann
8 Mankiewicz, Piotr
8 Schechtman, Gideon
8 Sevilla-Peris, Pablo
7 Dilworth, Stephen J.
7 König, Hermann
7 Lytova, Anna
7 Palazuelos, Carlos
7 Pivovarov, Peter
7 Schütt, Carsten
7 Sukochev, Fedor Anatol’evich
7 Tao, Terence
7 Youssef, Pierre
6 Arazy, Jonathan
6 Artstein-Avidan, Shiri
6 Ferenczi, Valentin
6 Figiel, Tadeusz
6 Foucart, Simon
6 Friedland, Omer
6 Hinrichs, Aicke
6 Kühn, Thomas
6 Leung, Denny H.
6 Lin, Pei-Kee
6 Linde, Werner
6 Oikhberg, Timur
6 Sarı, Bünyamin
6 Shekhtman, Boris
6 Tsolomitis, Antonis
6 Vu, Van H.
5 Aubrun, Guillaume
5 Beanland, Kevin
5 Causey, Ryan Michael
5 Chafaï, Djalil
5 Defant, Martin
5 Gasparis, Ioannis
5 Jain, Vishesh
5 Kabluchko, Zakhar A.
5 Kalton, Nigel John
5 Kamińska, Anna
5 Klartag, Bo’az
5 Kutzarova, Denka N.
5 Latała, Rafał
5 Lecué, Guillaume
5 Maestre, Manuel
5 Manoussakis, Antonis
5 Pelczar-Barwacz, Anna
5 Tang, Wee-Kee
5 Temlyakov, Vladimir Nikolaevich
5 Tozoni, Sergio Antonio
5 Werner, Elisabeth M.
5 Wojtaszczyk, Przemyslaw
5 Xu, Quanhua
4 Androulakis, George
4 Basak, Anirban
4 Blasco, Oscar
4 Bordenave, Charles
4 Botelho, Geraldo
4 Carando, Daniel G.
4 Edmunds, David Eric
4 García, Domingo
4 Geiss, Stefan
4 Kashin, Boris Sergeevich
4 Kim, Ju Myung
4 Kolchinskiĭ, Vladimir I’ich
4 Komorowski, Ryszard A.
4 Lee, Han Ju
4 Li, Aijun
4 Lindenstrauss, Joram
...and 748 more Authors
all top 5

Cited in 190 Serials

91 Israel Journal of Mathematics
83 Journal of Functional Analysis
50 Proceedings of the American Mathematical Society
34 Journal of Mathematical Analysis and Applications
34 Journal of Approximation Theory
29 Transactions of the American Mathematical Society
28 Advances in Mathematics
20 Probability Theory and Related Fields
16 Mathematical Proceedings of the Cambridge Philosophical Society
16 Mathematische Annalen
15 Applied and Computational Harmonic Analysis
14 Journal of Complexity
14 Positivity
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 The Annals of Probability
13 Discrete & Computational Geometry
13 Geometric and Functional Analysis. GAFA
12 Studia Mathematica
11 Integral Equations and Operator Theory
11 Linear Algebra and its Applications
10 Bernoulli
9 The Annals of Statistics
9 Archiv der Mathematik
8 Duke Mathematical Journal
8 Mathematische Nachrichten
8 Mathematika
8 Monatshefte für Mathematik
7 Communications in Mathematical Physics
7 Acta Mathematica
7 Constructive Approximation
7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Inventiones Mathematicae
6 Journal of the American Mathematical Society
6 The Journal of Geometric Analysis
6 Revista Matemática Complutense
6 Journal of Machine Learning Research (JMLR)
6 Electronic Journal of Statistics
5 Mathematical Notes
5 Compositio Mathematica
5 Journal of Multivariate Analysis
5 Journal of Soviet Mathematics
5 Mathematische Zeitschrift
5 Numerical Functional Analysis and Optimization
5 Electronic Journal of Probability
5 The Journal of Fourier Analysis and Applications
5 Communications in Contemporary Mathematics
4 Communications on Pure and Applied Mathematics
4 Journal d’Analyse Mathématique
4 Arkiv för Matematik
4 Czechoslovak Mathematical Journal
4 Journal of Theoretical Probability
4 Journal of Mathematical Sciences (New York)
4 Journal of the European Mathematical Society (JEMS)
4 Acta Mathematica Sinica. English Series
4 Foundations of Computational Mathematics
3 Bulletin of the Australian Mathematical Society
3 Computers & Mathematics with Applications
3 Journal of Mathematical Physics
3 Linear and Multilinear Algebra
3 Annales de l’Institut Fourier
3 Functiones et Approximatio. Commentarii Mathematici
3 Illinois Journal of Mathematics
3 Journal für die Reine und Angewandte Mathematik
3 Results in Mathematics
3 Statistics & Probability Letters
3 The Annals of Applied Probability
3 Bulletin of the American Mathematical Society. New Series
3 Mathematical Programming. Series A. Series B
3 Doklady Mathematics
3 Journal of the Institute of Mathematics of Jussieu
3 Random Matrices: Theory and Applications
2 Rocky Mountain Journal of Mathematics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Canadian Mathematical Bulletin
2 Glasgow Mathematical Journal
2 The Journal of Symbolic Logic
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Quaestiones Mathematicae
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Topology and its Applications
2 Advances in Applied Mathematics
2 Annals of Pure and Applied Logic
2 Revista Matemática Iberoamericana
2 SIAM Journal on Matrix Analysis and Applications
2 Random Structures & Algorithms
2 Stochastic Processes and their Applications
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 St. Petersburg Mathematical Journal
2 Bulletin des Sciences Mathématiques
2 Journal of Inequalities and Applications
2 Mathematical Inequalities & Applications
2 Wuhan University Journal of Natural Sciences (WUJNS)
2 Annals of Mathematics. Second Series
2 Analysis and Applications (Singapore)
2 European Journal of Pure and Applied Mathematics
2 Commentationes Mathematicae
2 Probability Surveys
2 Information and Inference
...and 90 more Serials
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Cited in 43 Fields

542 Functional analysis (46-XX)
221 Probability theory and stochastic processes (60-XX)
218 Operator theory (47-XX)
172 Convex and discrete geometry (52-XX)
116 Linear and multilinear algebra; matrix theory (15-XX)
75 Statistics (62-XX)
58 Approximations and expansions (41-XX)
57 Information and communication theory, circuits (94-XX)
48 Combinatorics (05-XX)
43 Computer science (68-XX)
41 Harmonic analysis on Euclidean spaces (42-XX)
28 Numerical analysis (65-XX)
23 Mathematical logic and foundations (03-XX)
20 Functions of a complex variable (30-XX)
18 Operations research, mathematical programming (90-XX)
17 Quantum theory (81-XX)
15 Several complex variables and analytic spaces (32-XX)
12 Abstract harmonic analysis (43-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
8 Real functions (26-XX)
7 Differential geometry (53-XX)
7 General topology (54-XX)
6 Number theory (11-XX)
6 Group theory and generalizations (20-XX)
6 Measure and integration (28-XX)
6 Geometry (51-XX)
5 Integral equations (45-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Partial differential equations (35-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Systems theory; control (93-XX)
3 General and overarching topics; collections (00-XX)
3 Topological groups, Lie groups (22-XX)
3 Ordinary differential equations (34-XX)
3 Dynamical systems and ergodic theory (37-XX)
2 History and biography (01-XX)
2 Potential theory (31-XX)
2 Manifolds and cell complexes (57-XX)
1 Nonassociative rings and algebras (17-XX)
1 Difference and functional equations (39-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistical mechanics, structure of matter (82-XX)

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