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1

Swaying of Pedestrian Bridges

Blekherman, Alexander N.

Journal:

Journal of Bridge Engineering

Year:

2005

Language:

english

File:

PDF, 208 KB

english, 2005

2

Corrigendum to “The truncated K-moment problem for closure of open sets” [J. Funct. Anal. 263 (11) (2012) 3604–3616]

Blekherman, G., Lasserre, J.B.

Journal:

Journal of Functional Analysis

Year:

2013

Language:

english

File:

PDF, 80 KB

english, 2013

3

There are significantly more nonegative polynomials than sums of squares

Grigoriy Blekherman

Journal:

Israel Journal of Mathematics

Year:

2006

Language:

english

File:

PDF, 863 KB

english, 2006

4

The polyhedral Tammes problem

K. Bezdek, G. Blekherman, R. Connelly, B. Csikós

Journal:

Archiv der Mathematik

Year:

2001

Language:

english

File:

PDF, 100 KB

english, 2001

5

Bioinformatics tools for cancer metabolomics

Grigoriy Blekherman, Reinhard Laubenbacher, Diego F. Cortes, Pedro Mendes, Frank M. Torti, Steven Akman, Suzy V. Torti, Vladimir Shulaev

Journal:

Year:

2011

Language:

english

File:

PDF, 253 KB

english, 2011

6

The truncated K-moment problem for closure of open sets

G. Blekherman, J.B. Lasserre

Journal:

Journal of Functional Analysis

Year:

2012

Language:

english

File:

PDF, 159 KB

english, 2012

7

Algebraic boundaries of Hilbert’s SOS cones

Blekherman, Grigoriy, Hauenstein, Jonathan, Ottem, John Christian, Ranestad, Kristian, Sturmfels, Bernd

Journal:

Compositio Mathematica

Year:

2012

Language:

english

File:

PDF, 536 KB

english, 2012

8

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 3: Polynomial Optimization, Sums of Squares, and Applications

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 2.81 MB

english, 2012

9

Experimental Study of Energy-Minimizing Point Configurations on Spheres

Ballinger, Brandon, Blekherman, Grigoriy, Cohn, Henry, Giansiracusa, Noah, Kelly, Elizabeth, Schürmann, Achill

Journal:

Experimental Mathematics

Year:

2009

Language:

english

File:

PDF, 676 KB

english, 2009

10

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 1: What is Convex Algebraic Geometry?

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 51 KB

english, 2012

11

Semidefinite Optimization and Convex Algebraic Geometry || Back Matter

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 91 KB

english, 2012

12

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 2: Semidefinite Optimization

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 2.57 MB

english, 2012

13

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 4: Nonnegative Polynomials and Sums of Squares

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 400 KB

english, 2012

14

On maximum, typical and generic ranks

Blekherman, Grigoriy, Teitler, Zach

Journal:

Mathematische Annalen

Year:

2015

Language:

english

File:

PDF, 206 KB

english, 2015

15

Closure to “Swaying of Pedestrian Bridges” by Alexander Blekherman

Blekherman, Alexander

Journal:

Journal of Bridge Engineering

Year:

2006

Language:

english

File:

PDF, 242 KB

english, 2006

16

Nonnegative polynomials and sums of squares

Blekherman, Grigoriy

Journal:

Journal of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 267 KB

english, 2012

17

Autoparametric Resonance in a Pedestrian Steel Arch Bridge: Solferino Bridge, Paris

Blekherman, Alexander N.

Journal:

Journal of Bridge Engineering

Year:

2007

Language:

english

File:

PDF, 426 KB

english, 2007

18

Gap vectors of real projective varieties

Blekherman, Grigoriy, Iliman, Sadik, Juhnke-Kubitzke, Martina, Velasco, Mauricio

Journal:

Advances in Mathematics

Year:

2015

Language:

english

File:

PDF, 378 KB

english, 2015

19

Sparse PSD approximation of the PSD cone

Blekherman, Grigoriy, Dey, Santanu S., Molinaro, Marco, Sun, Shengding

Journal:

Mathematical Programming

Year:

2020

File:

PDF, 427 KB

2020

20

Quantum entanglement, symmetric nonnegative quadratic polynomials and moment problems

Blekherman, Grigoriy, Madhusudhana, Bharath Hebbe

Journal:

Mathematical Programming

Year:

2020

File:

PDF, 537 KB

2020

21

ADAM: Analysis of Discrete Models of Biological Systems Using Computer Algebra

Franziska Hinkelmann, Madison Brandon, Bonny Guang, Rustin McNeill, Grigoriy Blekherman, Alan Veliz-Cuba, Reinhard Laubenbacher

Journal:

BMC Bioinformatics

Year:

2011

Language:

english

File:

PDF, 1.02 MB

english, 2011

22

The griffith criterion in the microscopic theory of cracks

M. Kh. Blekherman, V. L. Indenbom

Journal:

physica status solidi (a)

Year:

1974

Language:

english

File:

PDF, 512 KB

english, 1974

23

Configuration of the atomic planes bordering a crack in the modified Peierls-Nabarro model

M. Kh. Blekherman, V. L. Indenbom

Journal:

Journal of Applied Mechanics and Technical Physics

Year:

1970

Language:

english

File:

PDF, 453 KB

english, 1970

24

Convexity Properties of the Cone of Nonnegative Polynomials

Grigoriy Blekherman

Journal:

Discrete & Computational Geometry

Year:

2004

Language:

english

File:

PDF, 237 KB

english, 2004

25

DANZER-GRüNBAUM'S THEOREM REVISITED

Károly Bezdek, Grigoriy Blekherman

Journal:

Periodica Mathematica Hungarica

Year:

2000

File:

PDF, 374 KB

2000

26

Differential gene expression in normal and transformed human mammary epithelial cells in response to oxidative stress

Diego F. Cortes, Wei Sha, Valerie Hower, Greg Blekherman, Reinhard Laubenbacher, Steven Akman, Suzy V. Torti, Vladimir Shulaev

Journal:

Free Radical Biology and Medicine

Year:

2011

Language:

english

File:

PDF, 490 KB

english, 2011

27

Typical Real Ranks of Binary Forms

Blekherman, Grigoriy

Journal:

Foundations of Computational Mathematics

Year:

2015

Language:

english

File:

PDF, 401 KB

english, 2015

28

REPORT OF THE COMMITTEE ON PUBLICATION AND AWARDS

Ballinger, Brandon, Blekherman, Grigoriy, Cohn, Henry, Giansiracusa, Noah, Kelly, Elizabeth, Schürmann, Achill

Journal:

Transactions of the New York Academy of Sciences

Year:

1972

Language:

english

File:

PDF, 257 KB

english, 1972

29

Positive Gorenstein ideals

Blekherman, Grigoriy

Journal:

Proceedings of the American Mathematical Society

Year:

2014

Language:

english

File:

PDF, 269 KB

english, 2014

30

Semidefinite Optimization and Convex Algebraic Geometry || Front Matter

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 349 KB

english, 2012

31

Semidefinite Optimization and Convex Algebraic Geometry || Appendix A: Background Material

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 271 KB

english, 2012

32

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 9: Sums of Hermitian Squares: Old and New

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 373 KB

english, 2012

33

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 6: Semidefinite Representability

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 570 KB

english, 2012

34

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 8: Free Convex Algebraic Geometry

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 526 KB

english, 2012

35

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 7: Spectrahedral Approximations of Convex Hulls of Algebraic Sets

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 1.29 MB

english, 2012

36

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 5: Dualities

Blekherman, Grigoriy, Parrilo, Pablo A., Thomas, Rekha R.

Year:

2012

Language:

english

File:

PDF, 1.19 MB

english, 2012

37

Sums of squares and varieties of minimal degree

Blekherman, Grigoriy, Smith, Gregory G., Velasco, Mauricio

Journal:

Journal of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 335 KB

english, 2015

38

Real rank with respect to varieties

Blekherman, Grigoriy, Sinn, Rainer

Journal:

Linear Algebra and its Applications

Year:

2016

Language:

english

File:

PDF, 605 KB

english, 2016

39

Sums of squares on the hypercube

Blekherman, Grigoriy, Gouveia, João, Pfeiffer, James

Journal:

Mathematische Zeitschrift

Year:

2016

Language:

english

File:

PDF, 528 KB

english, 2016

40

Dimensional Differences Between Faces of the Cones of Nonnegative Polynomials and Sums of Squares:

Blekherman, Grigoriy, Iliman, Sadik, Kubitzke, Martina

Journal:

International Mathematics Research Notices

Year:

2015

Language:

english

File:

PDF, 285 KB

english, 2015

41

Extreme rays of Hankel spectrahedra for ternary forms

Blekherman, Grigoriy, Sinn, Rainer

Journal:

Journal of Symbolic Computation

Year:

2017

Language:

english

File:

PDF, 511 KB

english, 2017

42

Do Sums of Squares Dream of Free Resolutions?

Blekherman, Grigoriy, Sinn, Rainer, Velasco, Mauricio

Journal:

SIAM Journal on Applied Algebra and Geometry

Year:

2017

Language:

english

File:

PDF, 327 KB

english, 2017

43

Technology-Minded Management of Flexible Manufacturing Systems

Blekherman, M.Kh., Margolin, M.D., Chistyakov, V.M.

Journal:

IFAC Proceedings Volumes

Year:

1986

Language:

english

File:

PDF, 1.24 MB

english, 1986

44

On real typical ranks

Bernardi, Alessandra, Blekherman, Grigoriy, Ottaviani, Giorgio

Journal:

Bollettino dell'Unione Matematica Italiana

Year:

2017

Language:

english

File:

PDF, 522 KB

english, 2017

45

Maximum Likelihood Threshold and Generic Completion Rank of Graphs

Blekherman, Grigoriy, Sinn, Rainer

Journal:

Discrete & Computational Geometry

Year:

2018

Language:

english

File:

PDF, 560 KB

english, 2018

46

Sharp degree bounds for sum-of-squares certificates on projective curves

Blekherman, Grigoriy, Smith, Gregory G., Velasco, Mauricio

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2019

Language:

english

File:

PDF, 693 KB

english, 2019

47

Simple Graph Density Inequalities with No Sum of Squares Proofs

Blekherman, Grigoriy, Raymond, Annie, Singh, Mohit, Thomas, Rekha R.

Journal:

Year:

2020

File:

PDF, 377 KB

2020

48

Symmetric Non-Negative Forms and Sums of Squares

Blekherman, Grigoriy, Riener, Cordian

Journal:

Discrete & Computational Geometry

Year:

2020

File:

PDF, 506 KB

2020

49

Bounds on regularity of quadratic monomial ideals

Blekherman, Grigoriy, Jung, Jaewoo

Journal:

Journal of Combinatorial Theory, Series A

Year:

2020

File:

PDF, 384 KB

2020