Shiri Artstein - publications (original) (raw)

Shiri Artstein-Avidan - publications

[1] Shiri Artstein,

Proportional concentration phenomena on the sphere,

Israel J. Math., Vol 132 (2002), 337--358.

[2] Shiri Artstein, VitaliD. Milman and Stanislaw J. Szarek

More on the duality conjecture for entropy numbers,

Comptes Rendus Mathematique, Volume 336, Issue 6 (2003), no. 6,� 479--482.

[3] Shiri Artstein, VitaliD. Milman and Stanislaw J. Szarek,

Duality of metric entropy in Euclidean space,

Comptes Rendu Mathematique, Volume 337, Issue 11 (2003), no. 11,� 711--714.

[4] Shiri Artstein, Keith M. Ball, Franck Barthe and Assaf Naor,

Solution of Shannon's problem on the monotonicity of entropy,

Journal of Amer. Math. Soc. Vol. 17 (2004), no. 4, 975--982.

[5] Shiri Artstein, VitaliD. Milman, Stanislaw J. Szarekand Nicole �Tomczak-Jagermann,

On Convexifiedpacking and entropy duality,

Geometric AndFunctional Anal. Vol. 14, (2004), no. 5,� 1134--1141.

[6] Shiri Artstein, VitaliD. Milman and Stanislaw J. Szarek

Duality of metric entropy,

Annals of Math. (2) 159 (2004), no. 3, 1313--1328.

[7] Shiri Artstein, Keith M. Ball, Franck Barthe and Assaf Naor,

On the rate of convergence in the entropic central limit theorem,

Probability Theory and Related Fields, Vol. 129 (2004),�no. 3,�

381--390.

[8] Shiri Artstein-Avidan,� Bo'az Klartag and Vitali D. Milman,

On the Santalopoint of a function and a functional form of the Santaloinequality,

Mathematika 51 (2004) no. 1-2, (2005) 33--48.

[9] Shiri Artstein-Avidan, Omer Friedland and Vitali D. Milman,

Geometric Applications of Chernoff-type estimates and a zigzag approximation for balls,

Proc. Amer. Math. Soc. 134 (2006) no. 1, 1735--1742.

[10] Shiri Artstein-Avidan and Vitali D. Milman,

Logarithmic reduction of the level of randomness in some probabilistic geometric constructions,

J. Func.Anal.� Vol. 235� (2006), no.1 , 297--329.

[11] Shiri Artstein-Avidan, Omer Friedland, Vitali D. Milman and Sasha Sodin

Polynomial bounds for large Bernoulli sections of l_1^N,

Israel J. Math, Vol. 156 (2006) 141--155.

[12] Shiri Artstein-Avidan,

A Bernstein-Chernoff deviation inequality and geometric properties of random families of operators,

Israel J.�Math,� Vol. 156 (2006) 187--204.

[13] Shiri Artstein-Avidan and Vitali D. Milman,

Using Rademacher permutations to reduce randomness,

Algebra i Analiz� 19�(2007),� no. 1, 23--45 (Vol. dedicated to 85th birthday of V.A. Zalgaller);� translation in� St. Petersburg Math.J.19� (2008),� no. 1, 15--31 .

[14] Shiri Artstein-Avidan and Vitali D. Milman,

A characterization of the concept of duality,

Electron. Res. Announc.� Math. Sci.�� 14�� (2007),���42--59

[15] Shiri Artstein-Avidan and Yaron Ostrover,

On Symplectic Capcities and Volume Radius,

ArXiv April 19, 2006.

Math.SG/0603411

http://arxiv.org/pdf/math.SG/0603411.pdf

[16] Shiri Artstein-Avidan, Vitali D. Milman and Y. Ostrover,

�The M-ellipsoid, symplectic capacities and volume,

�Comment. Math. Helv. 83 (2008), no. 2, 359--369.

[17] Shiri Artstein-Avidan� and Vitali D. Milman,

The concept of duality for measure projections of convex bodies,

J. Funct.Anal. 254 (2008) no. 10� 2648--2666.

[18] Semyon Alesker, Shiri Artstein-Avidan and VitaliD. Milman,

A characterization of the Fourier transform,

C.R. Math. Acad. Sci. Paris� 346� (2008),�no. 11-12, 625--628.

[19]� Shiri Artstein-Avidan and Yaron Ostrover,

A Brunn-MinkowskiInequality for Symplectic Capacities of Convex Domains,

Int. Math. Res. Not. IMRN 2008, no. 13, Art. ID rnn044, 31pp.

[20] Shiri Artstein-Avidan, Aviezri Fraenkel and Vera S\'{o}s,

A two parameter family of an extension of Beatty sequences,

Discrete Math. 308 (2008) no. 20,� 4578--4588.

[21] Shiri Artstein-Avidan and Vitali D. Milman,

A New Duality Transform ; Une Nouvelle Transform\'ee de Dualit\'e.

C. R. Math. Acad. Sci. Paris� 346� (2008),�no. 21-22, 1143--1148.

[22]� Shiri Artstein-Avidan and VitaliD. Milman,

The concept of duality in convex analysis� andthe characterization of the Legendre transform.

Annals of mathematics (2), Vol. 169 (2009) no. 2,��661--674.

[23]� Semyon Alesker, Shiri Artstein-Avidan and Vitali D. Milman,

�A characterization of the Fourier transform and related topics,

Linear and Complex Analysis, 11--26, Amer. Math. Soc. Transl. Ser. 2,�

Vol. 226, a special volume in honour of Prof. V. Havin,� Amer. Math. Soc., Providence, RI, 2009.

[24] Shiri Artstein-Avidan and Vitali D. Milman,

�A Characterization of the Support Map,

Adv. Math. 223 (2010), no. 1, 379-391.

[25] Shiri� Artstein-Avidan,� Hermann Konig and Vitali D. Milman,

The chain rule as a functional equation,

J. Funct.Anal. 259 (2010), no. 11, 2999-3024.

[26] Semyon Alesker, Shiri Artstein-Avidan, Dmitry Faifmanand Vitali D. Milman,

A characterization of product preserving maps with applications to a characterization of the Fourier transform,

Illinois J. Math. 54 (2010), no. 3, 1115-1132 (2012).

[27] Shiri Artstein-Avidan and Orit Raz,

Weighted covering numbers of convex sets,

�Adv. Math. 227 (2011), no. 1, 730-744.

[28] Shiri Artstein-Avidan and Vitali D. Milman,

�Hidden structures in the class of convex functions and a new duality transform,

�J. Eur. Math. Soc. (JEMS) 13 (2011), no. 4, 975-–1004.

[29] Shiri Artstein-Avidan, Dan Y. Florentin and Vitali D. Milman,

� Order isomorphismsin windows,

� Electron. Res. Announc. Math. Sci. 18 (2011), 112–-118.

[30] Shiri Artstein-Avidan, Bo'az Klartag, Carsten Schutt and Elisabeth Werner,

Functional affine-isoperimetryand an inverse logarithmic Sobolev inequality,

�J. Funct. Anal. 262 (2012), no. 9, 4181-4204.

[31] Shiri Artstein-Avidan and� Boaz A. Slomka,

�Order isomorphisms in cones and a characterization of duality for ellipsoids,

Selecta Math. (N.S.) 18 (2012), no. 2, 391-415.

[32] Shiri Artstein-Avidan and Yaron Ostrover,

Bounds for MinkowskiBilliard Trajectories in Convex Bodies,

Int. Math. Res. Not. IMRN 2012, doi: 10.1093/imrn/rns216

[33]� Shiri Artstein-Avidan and VitaliD. Milman,

�Stability results for some classical convexity operations,

Advances in Geometry ISSN (Online) 1615--7168, ISSN (Print) 1615--715X,

DOI: 10.1515/advgeom-2012-0011, Published Online: 2012-10-03.

[34] Shiri Artstein-Avidan and Boaz A. Slomka,

A note on� Santaloinequality for the polarity transform and its reverse

Proc. Amer. Math. Soc. 143 (2015), no. 4, 1693-1704

�[35] Shiri Artstein-Avidan, Dan Florentin and Yaron Ostrover,

�Remarks about Mixed Discriminants and Volumes

Commun. Contemp. Math. 16 (2014), no. 2, 14 pp..

�[36] Shiri Artstein-Avidan, Roman Karasev and Yaron Ostrover,

�From SymplecticMeasurements to the Mahler Conjecture

Duke Mathematical Journal, 163 (2014) no. 11, 2003--2022

[37] Shiri Artstein-Avidan and Yanir Rublinstein,

Differential analysis of polarity: polar Monge Amp\`ere, Hamilton--Jacobi and conservation laws, �

To appear in Journal d'Analyse Mathematique,

ArXiv version Dec 9, 2013. Math.AP/1312.2516\\

�http://arxiv.org/pdf/1312.2516v1.pdf

[38] Shiri Artstein-Avidan and Boaz A. Slomka,

On weighted covering numbers and the Levi-Hadwiger conjecture,

Israel Journal of mathematics, 209 (2015) no. 1, 125--155.

[39] Shiri Artstein-Avidan, Keshet Einhorn, Dan Florentin and Yaron Ostrover,

On Godbersen'sconjecture,

Geom. Dedicata178 (2015), 337--350

[40] Shiri Artstein-Avidan and Boaz A. Slomka,

The fundamental theorems of affine and projective geometry revisited,

to appear in Communications in Contemporary Mathematics.

Books

[1] Shiri Artstein-Avidan, Apostolos Giannopoulos and Vitali Milman

�Asymptotic Geometric Analysis Vol 1

Mathematical Surveys and Monographs, 202. American Mathematical Society, Providence,

RI, 2015. xx+451 pp. ISBN: 978-1-4704-2193-9.��

Publications in Proceedings of Conferences:

[1] Shiri Artstein,

�The change in the diameter of a convex body under a random sign-projection,

�Geometric Aspects of Functional Analysis,� 31--39,�

�Lect. Notes in Math, 1850,

Springer, Berlin, 2004.

[2] Shiri Artstein-Avidan, Omer Friedland and� Vitali D. Milman,

�Geometric Applications of Chernoff-type Estimates,

�Geometric Aspects of Functional Analysis,� 45--75,� Lect. Notes in Math, 1910,

�Springer, Berlin, 2007.�

[3] Shiri Artstein-Avidan, Dmitry Faifman, and VitaliD.� Milman

On Multiplicative Maps of Continuous and Smooth Functions,

Geometric Aspects of Functional Analysis,� 35--59,� Lect. Notes in Math, 2050,

Springer, Berlin, 2012.

[4] Shiri Artstein-Avidan, Dan Y. Florentin, and Vitali D. Milman,

Order Isomorphisms on Convex Functions� in Windows,

Geometric Aspects of Functional Analysis,�61--122,� Lect. Notes in Math, 2050,

�Springer, Berlin, 2012.�

�

Submitted or in final preparation:

�[1] Shiri Artstein-Avidanand Boaz A. Slomka,

Functional covering numbers,

preprint: https://arxiv.org/pdf/1704.06753.

[2] Shiri Artstein-Avidan,

A short note on Godbersen'sConjecture,

preprint: https://arxiv.org/abs/1703.06403.

[3] Shiri Artstein-Avidan and David Katzin,

Isotropic measures between Lowner and John,

Preprint https://arxiv.org/abs/1612.01128

(MSc thesis based on these results accepted August 2016).

[4] Shiri Artstein-Avidan, Dan Florentinand Alexander Segal,

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Prekopa Leindler type inequalities for the polarity transform

preprint (should be submitted June 2017).

[5] David Alonso-Gutierrez, Shiri Artstein-Avidan, Bernardo Gonzalez Merino, C. Hugo Jimenez, Rafael Villa,

Rogers-Shephard and local Loomis-Whitney type inequalities

preprint (should be submitted June/July 2017).

[6] Shiri Artstein-Avidan, Dan Florentin, Yaron Ostrover and Daniel Rosen,

Caustics in Minkowski billiards

In preparation (should be ready July 2017).

�[7] Shiri Artstein-Avidan,Yoav Nir and Yaron Ostrover,

On billiard trajectories and capacity carriers for simplices,

in preparation (MSc thesis based on these results submitted October 2013).