Shiri Artstein-Avidan - publications
[1] Shiri Artstein,
Proportional concentration
phenomena on the sphere,
Israel J.
Math., Vol 132 (2002), 337--358.
[2] Shiri Artstein, Vitali
D. 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, Vitali
D. 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, Vitali
D. Milman, Stanislaw J. Szarek
and Nicole Tomczak-Jagermann,
On Convexified
packing and entropy duality,
Geometric And
Functional Anal. Vol. 14, (2004), no. 5, 1134--1141.
[6] Shiri Artstein, Vitali
D. 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 Santalo
point of a function and a functional form of the Santalo
inequality,
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 Vitali
D. 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-Minkowski
Inequality 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 Vitali
D. Milman,
The concept of duality in
convex analysis and
the 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 Faifman
and Vitali D. Milman,
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 isomorphisms
in windows,
Electron. Res. Announc. Math. Sci.
18 (2011), 112–-118.
[30] Shiri Artstein-Avidan, Bo'az Klartag, Carsten Schutt and Elisabeth Werner,
Functional affine-isoperimetry
and 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 Minkowski
Billiard Trajectories in Convex Bodies,
Int. Math. Res. Not. IMRN
2012, doi: 10.1093/imrn/rns216
[33] Shiri
Artstein-Avidan and Vitali
D. 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 Santalo
inequality 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 Symplectic
Measurements 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,
Geom. Dedicata
178 (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 Vitali
D. 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-Avidan
and Boaz A. Slomka,
preprint: https://arxiv.org/pdf/1704.06753.
[2] Shiri Artstein-Avidan,
A short note on Godbersen's
Conjecture,
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 Florentin
and Alexander Segal,
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).