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Full Name
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Kvaratskhelia Vakhtang
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| Address | |
| Mukhiani, 4B m/r, korp. 28, kv. 24 Tbilisi, Geoirgia 0172 | |
| Phone | |
| 995 55 129 750 | |
| Fax | |
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E-mail
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| Web Page | |
| Date Of Birth | |
| 1950-07-15 | |
| Education | |
| Tbilisi State University: Faculty of Cybernetics and Applied Mathematics, Tbilisi, Georgia, September 1966 – July 1971 Tbilisi State University: Graduate School, Probability Theory in Vector Spaces, Tbilisi, Georgia, November 1971 – November 1974 | |
| Position | |
| Direktor of Muskhelishvili Institute of Computational Mathematics of Georgian Technical University | |
| Publications | |
| Gaussian measures in some Banach spaces. Soobshch. Acad. Nauk Gruz. SSR, 75, 3, 1974, 533-536 (in Russian). On convergence of Gaussian random elements. Soobshch. Acad. Nauk Gruz. SSR, 76, 1, 1974, 41-44 (in Russian). The central limit theorem in the spaces . Soobshch. Acad. Nauk Gruz. SSR, 81, 3, 1976, 533-536 (in Russian), (co-author Nguyen Zui Tien). The central limit theorem and the strong law of large numbers in the spaces . Theory Probab. Appl., 21, 4, 1977, 780-790, (co-author Nguyen Zui Tien). Unconditional convergence of Gaussian series. Proceedings of Computing Center of the Acad. Sci. Georgian SSR, 18, 2, 1978, 71-79 (in Russian). On unconditional convergence in Banach space. Bull. Acad. Sci. Georgian SSR, 90, 3, 1978, 533-536 (in Russian). A remark to the definition of the Gaussian stochastic process. Tr. Vychisl. Tsentra Im. N.I. Muskhelishvili, 19, 2, 1979, 5-7 (in Russian), (co-author N.P. Kandelaki). On unconditional convergence of random series in Banach spaces. Lecture Notes in Ma thematics, 828, 1980, 162-166. Absolute and unconditional convergence in . Bull. Georgian Acad. Sci., 160, 2, 1999, 201-203, (co-author N. Vakhania). Unconditional convergence of Gaussian random series in Banach spaces. Theory Probab. Appl., 45, 1, 2000, 147-152. Unconditional convergence of random series and Geometry of Banach spaces. Georgian Math. J., 7, 1, 2000, 85-96. The structure of summable sequences and p-summing operators. Demonstratio Math., 33, 2, 2000, 379-87, (co-author V. Tarieladze). The analogue of the coefficient of correlation in Banach spaces. Bull. Georgian Acad. Sci., 161, 3, 2000, 377-379. Linear approximation of random elements in Banach spaces. Bull. Georgian Acad. Sci., 162, 2, 2000, 203-205. On a criterion for unconditional convergence of Hadamard series in the spaces . Bull. Georgian Acad. Sci., 162, 2, 2000, 199-202, (co-author N. Vak ha nia). Convergence of Sylvester series in Banach space . Bull. Georgian Acad. Sci., 164, 1, 2001, 7-9, (co-author N. Vak hania). Some inequalities related with Hadamard and Sylvester matrices. Bull. Georgian Acad. Sci., 164, 1, 2001, 10-13. So me ine qua lities related to Hadamard matrices. Funct. Anal. Ap pl., 36, 1, 2002, 68-70. A numerical chara cte ristic of the Sylvester matrix. Discrete Math. Appl., 11, 5, 2001, 501-506. An Application of the Brunel-Sucheston Spreading Model. Bull. Georgian Acad. Sci., 165, 3, 2002, 453-457, (co-author N. Vak hania). On a method of finding of sign invariant pair of elements in normed spaces. Bull. Geor gian Acad. Sci., 168, 3, 2003, 423-425, (co-authors G. Chelidze and K. Ninidze). Weakly Sub-gaussian random elements and Banach spaces with finite cotype. Bull. Geor gian Acad. Sci., 171, 2, 2005, 221-224, (co-author N. Vakhania). On inequalities between moments of normed measures. Bull. Georgian Acad. Sci., 172, 2, 2005, 173-175, (co-author N. Vakhania). Weakly Sub-Gaussian Random Elements in Banach Spaces. Ukrainian Mathematical Journal, 57, 9, 2005, 1387-1412. Unconditional Convergence of Weakly Sub-Gaussian Series in Banach Spaces. Theory Probab. Appl., 51, 2, 2007, 305-324. On unconditional convergence in Banach spaces with unconditional basis. Bull. Ge or gi an Acad. Sci., 3, 1, 2009, 10-14, (co-author N. Vakhania). Greedy Algorithm Fails in Compact Vector Summation. Bull. Ge or gi an National Acad. Sci., 4, 2, 2010, 5-7, (co-authors: G. Chelidze, S. Chobanyan and G. Giorgobiani). A note on the rearrangement theorem in a Banach space. Informational and Commu ni ca tion Technologies – Theory and Practice: Proceedings of the International Scientific Con ference ICTMC-2010 Devoted to the 80th Anniversary of I.V. Prangishvili. Nova Sci ence Publishers, Prepared for publication, 2011 (co-authors: S. Chobanyan, G. Gior gobiani, V. Tarieladze). On an integral inequality. Informational and Communication Technologies – Theory and Practice: Proceedings of the International Scientific Conference ICTMC-2010 De vo ted to the 80th Anniversary of I.V. Prangishvili. Nova Science Publishers, Prepared for publication, 2011 (co-authors: R. Denchev, N. Vakhania). | |
| Conferences,contacts,other scientific and educational activities | |
| Participation in Grant Projects | |
| GNSF grant, award #GNSF/ST09_99_3-104, 2010-2012 GNSF grant, award #GNSF/ST06/3-009, 2006-2008 GRDF grant, award # GEM1-3328-TB-03, 2005-2006 | |
| Languages | |
| Russian, Polish, English | |
| Scientific interests | |
| Probability theory, functional analysis | |
| Current scientific activities | |
| Future work plans | |
| Probability Theory & Functional Analysis | |
| Department | |
| Theoretical Foundations in Mathematics |