Stanisław Szarek
#84,178
Most Influential Person Now
Polish mathematician
Stanisław Szarek's AcademicInfluence.com Rankings
Stanisław Szarekmathematics Degrees
Mathematics
#4438
World Rank
#6303
Historical Rank
Measure Theory
#3694
World Rank
#4357
Historical Rank

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Mathematics
Stanisław Szarek's Degrees
- PhD Mathematics University of Warsaw
- Masters Mathematics University of Warsaw
Why Is Stanisław Szarek Influential?
(Suggest an Edit or Addition)According to Wikipedia, Stanisław J. Szarek is a Polish professor of mathematics at both Case Western Reserve University in the USA and Pierre and Marie Curie University in France . His research concerns convex geometry and functional analysis.
Stanisław Szarek's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Chapter 8 - Local Operator Theory, Random Matrices and Banach Spaces (2001) (368)
- An analysis of completely positive trace-preserving maps on M2 (2002) (285)
- On the best constants in the Khinchin inequality (1976) (255)
- Condition numbers of random matrices (1991) (158)
- The Flatness Theorem for Nonsymmetric Convex Bodies via the Local Theory of Banach Spaces (1999) (103)
- The finite dimensional basis problem with an appendix on nets of Grassmann manifolds (1983) (81)
- Spaces with large distance to l∞n and random matrices (1990) (76)
- On distance-based inconsistency reduction algorithms for pairwise comparisons (2010) (75)
- On the duality problem for entropy numbers of operators (1989) (69)
- Metric Entropy of Homogeneous Spaces (1997) (69)
- A Banach space without a basis which has the bounded approximation property (1987) (62)
- An Analysis of Completely-Positive Trace-Preserving Maps on 2x2 Matrices (2000) (58)
- A Nonsymmetric Correlation Inequality for Gaussian Measure (1999) (58)
- The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization (1988) (56)
- Duality of metric entropy (2004) (55)
- Volume of separable states is super-doubly-exponentially small in the number of qubits (2005) (51)
- On parallelepipeds of minimal volume containing a convex symmetric body in ℝn (1991) (49)
- On the existence and uniqueness of complex structure and spaces with “few” operators (1986) (45)
- An “isomorphic” version of the sauer-shelah lemma and the banach-mazur distance to the cube (1989) (44)
- A Different Perspective on a Scale for Pairwise Comparisons (2015) (42)
- Volumes of restricted Minkowski sums and the free analogue of the entropy power inequality (1995) (33)
- The Knaster problem and the geometry of high-dimensional cubes (2003) (30)
- Convexity, complexity, and high dimensions (2006) (26)
- A superreflexive Banach space which does not admit complex structure (1986) (24)
- A geometric lemma and duality of entropy numbers (2000) (21)
- Shannon’s entropy power inequality via restricted minkowski sums (2000) (21)
- Concentration for noncommutative polynomials in random matrices (2011) (19)
- On the geometry of the Banach-Mazur compactum (1991) (18)
- On tensor products of operators from Lp to Lq (1991) (17)
- On Convexified Packing and Entropy Duality (2004) (15)
- Computing summing norms and type constants on few vectors (1991) (15)
- The volume of separable states is super-doubly-exponentially small (2003) (15)
- On the Gram Matrices of Systems of Uniformly Bounded Functions (2003) (14)
- An exotic quasidiagonal operator (1990) (12)
- On some convexity properties of the Least Squares Method for pairwise comparisons matrices without the reciprocity condition (2012) (12)
- The cotype constant and an almost euclidean decomposition for finite-dimensional normed spaces (1985) (11)
- Volume estimates and nearly euclidean decompositions for normed spaces (1979) (11)
- On the Convexified Sauer-Shelah Theorem (1997) (10)
- Almost-Euclidean Subspaces of l1N\ell_1^N via Tensor Products: A Simple Approach to Randomness Reduction (2009) (10)
- Almost-Euclidean Subspaces of 1 N via Tensor Products : A Simple Approach to Randomness Reduction (2010) (9)
- Saturating constructions for normed spaces (2004) (8)
- More on the duality conjecture for entropy numbers (2003) (8)
- A geometric approach to duality of metric entropy (2001) (7)
- An estimation of the Lebesgue functions of biorthogonal systems with an application to the non-existence of some bases in C and $L^{1}$ (1979) (7)
- How well can an $n \times n$ matrix be approximated by reducible ones? (1986) (7)
- Lattice coverings and Gaussian measures of n-dimensional convex bodies (1995) (7)
- Duality of metric entropy in Euclidean space (2003) (7)
- Bases and biorthogonal systems in the spacesC andL1 (1979) (6)
- On Norms of Completely Positive Maps (2010) (6)
- Simultaneous Structures in Convex Signal Recovery—Revisiting the Convex Combination of Norms (2019) (5)
- Metric entropy of homogeneous spaces and Finsler geometry of classical Lie groups (1997) (5)
- On the nontrivial projection problem (2008) (5)
- Saturating constructions for normed spaces II (2004) (3)
- A note on the paper of Shütt "Unconditionality in tensor products'' (1981) (3)
- Still more on norms of completely positive maps (2006) (3)
- A simple construction of almost-Euclidean subspaces of ℓ1N via tensor products (2010) (2)
- N ov 2 00 1 An Analysis of Completely-Positive Trace-Preserving Maps on M 2 (2001) (2)
- Decoupling Weakly Dependent Events (2007) (2)
- A simple construction of almost-Euclidean subspaces of $\ell_1^N$ via tensor products (2010) (2)
- On measures of symmetry and floating bodies (2013) (2)
- A Characterization of Completely-Positive Trace-Preserving Maps on 2x2 Matrices (2000) (2)
- On the geometry of proportional quotients of ${l^m_1}$ (2003) (1)
- Random Banach spaces: The limitations of the method (1993) (1)
- Logarithmic growth of theL1-norm of the majorant of partial sums of an orthogonal series (1995) (1)
- BANACH SPACE THEORY AND LOCAL OPERATOR THEORY (2004) (1)
- Ju l 2 00 4 On convexified packing and entropy duality (2004) (0)
- Aleksander (Olek) Pelczynski (1932–2012) (2017) (0)
- Review: Zbigniew Semadeni, Schauder bases in Banach spaces of continuous functions (1984) (0)
- Probability and Geometry in High Dimensions Organizers Djalil Chafaï (2010) (0)
- Bases and biorthogonal systems in the spaces <Emphasis Type="Italic">C </Emphasis> and <Emphasis Type="Italic">L </Emphasis> <Superscript>1 </Superscript> (2006) (0)
- ec 2 00 0 An Analysis of Completely-Positive Trace-Preserving Maps on M 2 (2009) (0)
- A pr 2 00 0 A Characterization of Completely-Positive Trace-Preserving Maps on M 2 (2008) (0)
- Ju l 2 00 4 Duality of Metric Entropy ∗ (2004) (0)
- On some convexity properties of the Least Squares Method for pairwise comparisons matrices without the reciprocity condition (2011) (0)
- Logarithmic Growth of the L 1-Norm of the of Partial S u m s of an Orthogonal Series (2005) (0)
- Logarithmic Growth of the L1-Norm of the of Partial Sums of an Orthogonal Series (1995) (0)
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What Schools Are Affiliated With Stanisław Szarek?
Stanisław Szarek is affiliated with the following schools: