Gregory A. Freiman
The Raymond and Beverly Sackler Faculty of Exact Sciences
School of Mathematical Sciences
Ramat
Aviv, Tel Aviv 69978
Israel
+972-3-6408034
(office phone)
+972-3-6409357
(department fax)
+972-77-6260901
(home phone from outside Israel)
Research Interests
- Inverse Additive Number Theory
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Results and Problems
- G. A. Freiman: Structure Theory of
Set Addition.
Astérisque No. 258 (1999), xi, 1-33, Abstract
MR1701187(2000j:11147)
- G. A. Freiman: Structure Theory of
Set Addition. II. Results and Problems.
Paul Erdös and his
mathematics, I (Budapest, 1999), 243-260,
Bolyai Soc. Math. Stud.,11, Janos Bolyai Math. Soc., Budapest, 2002.
MR1954695 (2004c:11190)
Everyone
interested to discuss topics in Inverse Additive Number Theory (other names for
this direction: Structure Theory of Set Addition, Additive Combinatorics)
or to take part in a joint work on the theme is invited to write: grisha@post.tau.ac.il
or to phone: 972-77-6260901 (home).
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List of Publications
Recent Papers
- G. A. Freiman and A.A. Yudin: The interface
between Probability Theory and Additive Number Theory (Local Limit
Theorems and Structure theory of Set Addition), Amer. Math. Soc.
Transl. (2) Vol. 217, 2006, 51-72.
- Jean-Marc Deshouillers and G.
A. Freiman: On
sum free sets modulo p, Functiones et Approximatio, XXXV (2006),
51-59.
- G. A. Freiman and Yonutz V. Stanchescu: On a Kakeya-type problem I, Functiones
et Approximatio Commentarii Mathematici
XXXVII (2007), part 1, 131-148.
- G. A. Freiman: Inverse Additive Number
Theory. XI. On the detailed structure of sets with small additive
property. Acta Arithmetica , Vol. 137,
No.4, (2009), 325-331.
- G. A. Freiman and Yonutz V. Stanchescu: On a Kakeya-type problem II, Functiones
et Approximatio Commentarii Mathematici 41.2
(2009), 167-183.
- G. A. Freiman and Yonutz V. Stanchescu: Sets
with several centers of symmetry, International Journal of Number
Theory, Volume 7, No. 5 (2011), 1115-1135.
- G. A. Freiman, David Grynkiewicz, Oriol Serra and
Yonutz V. Stanchescu: Inverse additive
problems for Minkowski sumsets
I, Collectanea Mathematica,
September 2012, Volume 63, Issue 3, pp 261-286,
doi:10.1007/s13348-012-0060-5
- G. A. Freiman, David Grynkiewicz, Oriol Serra and
Yonutz V. Stanchescu: Inverse additive
problems for Minkowski sumsets
II, Journal of Geometric Analysis (23 September 2011), pp. 1-20,
doi:10.1007/s12220-011-9251-7
- G. A. Freiman: On finite sumsets of non-abelian
groups with small doubling, Proceedings
of the American Mathematical Society 140, no. 6, 2997—3002
(2012).
Papers to appear
- G. A. Freiman, Marcel Herzog,
P. Longobardi and M. Maj:
Small doubling in
ordered groups, J. Austral. Math. Soc., to appear, 1-11.
Submitted
- G. A. Freiman and A.A. Yudin: About the Measure
of Large Values of the Modulus of a Trigonometric Sum, submitted.
Preprints
- G. A. Freiman: Structure Theory
of Set Addition III. Results and Problems.
Conference Lectures
- G. A. Freiman and Y. V. Stanchescu: Inverse
Additive Number Theory and Non-Abelian Groups,
The 16th Midrasha Mathematicae, Words and Growth, The
Hebrew University of Jerusalem, June 10-15, 2012
Useful links
Jean-Marc Deshouillers, Bernard Landreau, Alexander A. Yudin
(Ed.),
Astérisque 258 (1999), Société Mathematique
de France, Paris, 458 pages, Abstract,
MR1701186 (2000b:11005).
Additive Number Theory. Inverse Problems and the
Geometry of Sumsets,
Springer-Verlag, GTM, Vol. 165, 1996, MR1477155(98f:11011).
A New Proof of Szemeredi's Theorem
for Arithmetic Progressions of Length Four,
GAFA, Geom. Funct. Anal., Vol.
8 (1998), no. 3, 529-551, MR1631259 (2000d:11019).
- Terence Tao and Van H. Vu: Additive Combinatorics,
Cambridge Studies in Advanced Mathematics, 105. Cambridge
University Press, Cambridge, 2006., MR2289012 (2008a:11002).
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