Gogi Pantsulaia

Name: Gogi Rauli Pantsulaia

Born: September 14, 1960, Georgia

Citizenship: Georgia

Address: Department of mathematics,

Georgian Technical University ,

77 Kostava st. Tbilisi 0143,

Georgia

Tel: Office 00 995 32 36 47 90

Home 00 995 32 60 08 68

E-mail address : gogipantsulaia @yahoo.com

Education

1974 - finished 8 class at I.Gogebashvili Sukhumi School No.11.;

1977 - finished V. Komarov Tbilisi Secondary School No. 2, with physics and mathematics orientation;

1982 - MSc in Mathematics. Tbilisi State University, Georgia. Supervizor - Doctor of Physics and Mathematics, Professor G.Nijaradze, Thesis title: "Vitali systems and differentiability of absolutely continuous functions ". Awarded Gold Diploma (highest grade for thesis and course work);

1985 - Certificate of completion of three years PhD course in Theory of probability and Mathematics statistics. Tbilisi State University. Supervisors: Doctor of Physics and Mathematics, Professor Gvandji . Mania.Doctor of Physics and Mathematics, Professor Kharazishvili Alexander;

1985 - PhD in Mathematics. Institute of mathematics, Ukrainian Academy of Sciences, Kiev, Ukraine; Leading organization: Steklov institute of mathematics, Moscow . Thesis title: "Some properties of probability measures in space with additional structures"(01.01.05-Probability Theory). Supervisor : Doctor of Physics and Mathematics, Professor Kharazishvili Alexander;

2003 - Degree of Doctor of Physics and mathematics, Iv.Javakhishvili Tbilisi State University, I.Vekua Institute of Applied Mathematics, Tbilisi, Georgia (University st.2, Tbilisi, 0143) Thesis title: " On some Quasiinvariant Measures and Dynamical Systems in infinite-Dimensional Vector Spaces"(01.01.08-Mathematical Cybernetics), Scientific consultant-Doctor of Physics and Mathematics, Professor Kharazishvili Alexander.

Work Experience

1985 - 1987 - Reseach Fellow, Institute of the Management System, Academy of

Georgian Sciences.

1988 - 2004 - Associate professor, Department of mathematics, Georgian Technical University.

1997 - 2004 - Invited professor, Sukhumi branch of I. Javakhishvili Tbilisi State University.

2004 - 2006 - Professor at Department of mathematics of Georgian Technical University.

2005 - 2006 - Senior researcher at Division of Discrete Mathematics of I.Vekua Institute of Applied Mathematics of Tbilisi State University.

2006 - to day - Full professor at Division of Mathematical Analysis of Department of Mathematics of Georgian Technical University.

2009 - to day - Senior researcher at Division of Discrete Mathematics of I. Vekua Institute of Applied Mathematics of Tbilisi State University.

Scientific interest and achievements

Theory of Probability and Mathematical Statistics, Infinite-Dimensional Analysis, Measure Theory and related areas of mathematics.

Monographs

1. G.Pantsulaia, Invariant and Quasiinvariant Measures in Infinite-Dimensional Topological Vector Spaces, Nova Science Publishers, © Copyright 2004-2007(ISBN.1-60021-719-2), New York -2007 , xii+231 pp.

2. G.Pantsulaia , Generators of Shy Sets in Polish Groups. Nova Science Publishers, Inc., New York, 2011 , xii -227 pp.

3. G.Pantsulaia , Selected topics of an infinite-dimensional classical analysis. Nova Science Publishers, Inc., New York, 2012, xii -183 pp.

Participation in International Conferences

1. Enlarged Sessions of the Seminar of I.Vekua Inst. Appl. Math., Tbilisi (Georgia), 1994.

2. ISPM, School and Colloguium: Stochastic Analysis and Applications in Control, Statistics and Financial Modeling, Tbilisi(Georgia), September 1-7, 2002.

3. Conference "Kolmogorov-100". MSU. Section 1. Dynamical Systems and Ergodic Theory. Moskow (Russia) ,15-21 June, 2003.

4. Conference in Probability Theory and Mathematical statistics Dedicated to Centary of A.N.Kolmogorov, Tbilisi(Georgia), September 21-27, 2003.

5. International Conference: Modern Problems and New Trends in Probability Theory, Chernivtsi(Ukraine), June 19-26, 2005.

6. International School and Workshop on Function Spaces, Integral Transforms and Applications in PDE, Dedicated to the 100 th Birthday Anniversary of Professor Archil Kharadze, Tbilisi(Georgia), August 31-September 5, 2005.

7. International Conference, Skorokhod Space, 50 Years on, Kyiv ( Ukraine), 17-23 June, 2007.

8. International Workshop on Variable Exponent Analysis and Related Topics, Tbilisi (Georgia) September 2-5, 2008.

9. International conference on Modern Problems in Applied Mathematics Dedicated to the 90th Anniversary of the Iv. Javakhisvili Tbilisi State University & 40th Anniversary of the I.Vekua Institute of Applied Mathematics, Section : Foundation of Mathematics and Mathematical Logic, Tbilisi (Georgia),

7-9 October, 2008.

10. 37th Winter School in Abstract Analysis, Kacov ( Czech), 17 - 22 January, 2009.

11. Stochastic analysis and random dynamics, International conference, Lviv(Ukraine), 14 .VI- 20.VI, 2009

12. 39th Winter School in Abstract Analysis, Kacov ( Czech), 15 - 24 January, 2011.

13. Second Annual Conference of the Georgian Mathematical Union, September 15-19, 2011, Batumi

14. 40th Winter School in Abstract Analysis, Klenci ( Czech), 14 - 21 January, 2012.

15. Third annual conference of the Georgian Mathematical Union, September 2-9, 2012, in. Batumi, Black Sea Resort of Georgia.

16. International conference dedicated to 120-th anniversary of Stefan Banach

September 17-21, 2012 Ivan Franko National University of Lviv, Lviv, Ukraine

Membership of Editorial Boards of International Scientific Journals

1. Georgian International Journal of Science and Technology,

2. Intelectual.

Reviewer of International Scientific Journals

1. Mathematical Reviews

2. Georgian Mathematical Journal,

3. Mathematical Analysis and Applications,

4. Proc. A. Razmadze Math. Inst.

5. Georg. Inter. J. Sci. Tech., Nova Science Publishers,

6. Intelectual

Membership of Mathematical Societies

1. Member of Georgian Mathematical Society

2. Member of American Mathematical Society

Participation in Scientific Grant Projects

2005 Georgian Ministery of Education and Science Grant GNSF /ST 0 1/ 01-90.

2008 -

2009 Georgian National Foundation Grant CNSF/ST 07/3-178

2009 Georgian National Foundation Grant CNSF/ST 08/3-391

2010 Shota Rustaveli National Foundation Grant CNSF/ST 09/3-105

2013

2013 Shota Rustaveli National Foundation Grant CNSF/ST 31-24

2014

2013 Shota Rustaveli National Foundation Grant CNSF/ST 31-25

2016

Scientific Publications

[1] G.Pantsulaia , On Generalized Integrals for Vector-Functions,Thesises of Scientific Reports of the Republic School-Seminar "Topological Aspects of Functions Theory", Tbilisi:1984 (in Russian).

[2] G.Pantsulaia , Some properties of families of probability measures, Soobshch. Akad. Nauk Gruzin. SSR 120 (1985), no. 2, 245--248 (1986) (in Russian).

[3] G.Pantsulaia , On the existence of a quasi-invariant measure on a nonlocally compact noncommutative topological group, Soobshch. Akad. Nauk Gruzin. SSR 120 (1985), no. 1, 53-55(in Russian)

[4] G.Pantsulaia , Generalized integrals, Soobshch. Akad. Nauk Gruzin. SSR 117 (1985), no. 1, 33-36 (in Russian).

[5] G.Pantsulaia , A. Kirtadze, The property of essential uniqueness of invariant measures in vector spaces. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 127 (1987), no. 1, 33--35)

[6] G.Pantsulaia , Invariant and quasi-invariant measures in some function spaces. Soobshch. Akad. Nauk Gruzin. SSR 134 (1989), no. 3, part I, 489-492 (in Russian)

[7] G.Pantsulaia , Independent families of sets and some of their applications to measure theory. Soobshch. Akad. Nauk Gruzin. SSR 134 (1989), no. 1, 29--32 (in Russian).

[8] G.Pantsulaia , On orthogonal families of probability measures, Trans. GPI, (1989) 8(350), 106--112 (in Russian).

[9] G.Pantsulaia , On invariant measures in some functional spaces, Trans. GTU, (1991) no 10 (383), 9-14 (in Russian).

[10] A. Kirtadze, G.Pantsulaia , Invariant measures in the space $Rsp N$. (Russian) Soobshch. Akad. Nauk Gruzii 141 (1991), no. 2, 273--276.

[11] G.Pantsulaia , A. Kirtadze, On uniquely definable extensions of invariant measures in the space $ old Rsp N$. (Russian) Soobshch. Akad. Nauk Gruzii 149 (1994), no. 2, 189--192 (1995)

[12] G.Pantsulaia , On non-elementary extensions of the Haar measure, Reports of Enlarged Sessions of the Seminar of I.Vekua Inst. Appl. Math., vol.9. no 13, (1994), Tbilisi, p.40--43.

[13] G.Pantsulaia , Density points and invariant extensions of the Lebesgue measure. (Russian) Soobshch. Akad. Nauk Gruzii 151 (1995), no. 2, 216--219 (1996). CMP 1 652 055.

[14] Pantsulaia G. R. The construction of invariant measures in the non-separable Banach space l∞ //Georgian Technical University Press. - 2000. - Т. 430. - С. 18-20.

[15] G.Pantsulaia , B.Misabishvili, Invariant Borel measures in the vector space , Publishers"Intelekti", © Copyright 2000 (ISBN 99928-860-3 x), (2000) (booklet).

[16] G.Pantsulaia , B.Misabishvili, On some properties of nonmeasurable functions defined on metric spaces, Publishers"Intelekti", © Copyright 2000(ISBN 99928-860-5 -6), (2000), (booklet).

[17] G.Pantsulaia , L.Khocholava, Homogeneous dynamical systems and their properties, Publishers"Intelekti", © Copyright 2005 (ISBN 99928-860-4 -8), (2000) (booklet).

[18] G.Pantsulaia , Vector fields of velocities in infinite-dimensional topological vector space which preserve a measure , Trans. of GTU, 1(434) (2001),9--16.

[19] G.Pantsulaia , On Economical Connection Property In Infinite-Dimensional Topological Vector Spaces, Thesises of Reports, Georgian Mathematicians III Congress, Tbilisi,11-13 Octomber (2001),100.

[20] G.Pantsulaia , Duality of measure and category in infinite-dimensional separable Hilbert space, IJMMS 30:6(2002). 353-363 PII.SO161171202012371.

[21] G.Pantsulaia , On the Strict Transitivity Property for Infinite-Dimensional Topological Vector Spaces, Bull. Georgian Acad.Sci.,166,no 1 (2002), 32-35.

http://www.science.org.ge/english.html

[22] G.Pantsulaia , On the Sierpinski-Erdos duality principle and Steinhaus property in infinite-dimensional topological vector spaces, Bull. Georgian Acad. Sci., 166, no 2 (2002), 231-233.

http://www.science.org.ge/english.html

[23] G.Pantsulaia , Representations of Borel Product-Measures by Haar Measure and Some of Their Applications, Abstracts, ISPM, School and Colloguium: Stochastic Analysis and Applications in Control, Statistics and Financial Modeling, September 1-7,(2002), Tbilisi, Georgia.

[24] G.Pantsulaia , Calculation of Jacobian for measurable linear operators in the Vector Space of all Real-Valued Sequences. Theses of the Reports of Professors and Lecturers Scientific-Technical Conference Dedicated to the 80 Anniversary of Georgian technical University, Tbilisi,(2002),211.

[25] G.Pantsulaia , On some quasiinvariant measures and dynamical systems in infinite-dimensional vector spaces : Dis. for the doctor of phys. a. math. sciences 01.01.08 / Sci. consultant Alexander Kharazishvili ; Georg. techn. Univ., Dep. of math. no. 63 - Tb., 2003 - [3],182p. - - Bibliogr.: p. 172-182 [MFN: 5321]

[26] G.Pantsulaia , On separation properties for families of probability measures, Georgian Mathematical Journal, vol.10, no 2, (2003), 335--342.

[27] G.Pantsulaia , An Analogue of Lioville's Theorem in Infinite-Dimensional Separable Hilbert space . Collection of Abstracts (Comtributed Papers in English).Section 1. Dynamical Systems and Ergodic Theory. Conference "Kolmogorov-100". MSU.Moskow.15-21 June(2003), 79--80.

[28] G.Pantsulaia , Relations between Shy sets and Sets of $

u_p$-Measure Zero in Solovay's Model, Bull. Polish Acad.Sci., vol.52, No.1, (2004). 63--69.

[29] G.Pantsulaia , On an Invariant Borel Measure in Hilbert Space, Bull. Polish Acad.Sci., vol.52, No.2, (2004), 47--51.

[30] G.Pantsulaia , An Applications of independent families of sets to the measure extension problem, Georgian Mathematical Journal, vol.11, no 2, (2004), 379--390.

[31] G.Pantsulaia , A. Kirtadze, On some notions of null sets in the infinite-dimensional topological vector space $R^N$. Bull. of the Georgian Acad. Sci., 172 N2(2005),198-201.

[32] G.Pantsulaia , A. Kirtadze, Relation between shy sets and Haar null-Sets in the Banach Space , Bull. of the Georgian Acad. Sci., 172 N (3), (2005),381-383.

[33] G.Pantsulaia , A. Kirtadze, On null sets in infinite dimensional separable Banach spaces International Conference: Modern Problems and New Trends in Probability Theory, Abstracts II, Chernivtsi, Ukraine, June 19-26,) (2005) 56-57. (co-author:).

[34] G.Pantsulaia , On an infinite-dimensional analogy of Cramer Rule in Solovay model, Thesises of Reports, Georgian Mathematicians IY Congress, Tbilisi,14-16 , November (2005),122

[35] G.Pantsulaia , A. Kirtadze, On null sets in infinite-dimensional Banach spaces. Proc. A. Razmadze Math. Inst. 139 (2005), 128--131.

http://www.rmi.ge/proceedings/volumes/139.htm

[36] G.Pantsulaia , A. Kirtadze, Lebesgue nonmeasurable sets and the uniqueness of invariant measures in infinite-dimensional vector spaces. Proc. A. Razmadze Math. Inst. 143 (2007), 95--101.

http://www.rmi.ge/proceedings/volumes/143.htm

[37] G.Pantsulaia , On an inductive limit of invariant measures, Abstracts, International Conference, Skorokhod Space, 50 Years on, 17-23 June, Kyiv,Ukraine, (2007) 86--88.

[38] G.Pantsulaia , Invariant and quasiinvariant measures in infinite-dimensional topological vector spaces. Nova Science Publishers, Inc., New York, 2007. xii+234 pp. ISBN: 978-1-60021-719-7; 1-60021-719-2 .

[39] G.Pantsulaia , On intersection of problems of theoretical statistics and set theory, Far East Journal of Theoretical Statistics, Volume 25, Issue 2, Pages 251-271(July 2008)

[40] G.Pantsulaia , On Komjat's conjecture in the Martin-Solovay model , Georg. Inter. J. Sci. Tech., Nova Science Publishers, 1 (1) (2008), 71-76

[41] G.Pantsulaia, On a Riemann Integrability of functions defined on infinite-dimensional rectangles Sokhumi state university proceedings, Mathematics and computer series, v. 5 (2008),

[42] G.Pantsulaia , G.Giorgadze, On some applications of generators of shy-sets in infinite-dimensional analysis, International workshop on variable exponent analysis and related topics, September, 2-5 (2008) p.1 -46 (website: http://haota.ualg.pt/vea/Pantsulaia.pdf )

[43] G.Pantsulaia , A RELATION BETWEEN SOME TRANSLATION-INVARIANT BOREL MEASURES ON $R^N$, Book of abstracts, I n t e r n a t i o n a l C o n f e r e n c e on Modern Problems in Applied Mathematics Dedicated to the 90th Anniversary of the Iv. Javakhishvili Tbilisi State University & 40th Anniversary of the I. Vekua Institute of Applied Mathematics 7-9 October, 2008, Tbilisi, p. 14

[44] G.Pantsulaia , G.Giorgadze, On analogy of Liouville theorem in Hilbert space $l_2$, , Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 1 Issue 2.(2008) , 167-179.

Georgian Science and Technology Developments (Editor F. Columbus) (2011) , 293-306

[45] G.Pantsulaia , On Left-Invariant Probability Measures on General Groups, Georg. Inter. J. Sci. Tech., Nova Science Publishers, 1( 3) (2008), 209-226. Georgian Science and Technology Developments (Editor F. Columbus) (2011) , 307-324

[46] G.Pantsulaia , On generators of shy sets on Polish topological vector spaces, New York J. Math.,14 ( 2008) , 235 - 261

[47] G.Pantsulaia , On a certain partition of the non-locally compact abelian Polish group $Bbb {Rsp N}$. Proc. A. Razmadze Math. Inst. 149 (2009), 75--86 (# GNSF /ST 07/3-178)

[48] G.Pantsulaia , Change of variable formula for "Lebesgue measures" on $Bbb {Rsp N}$., J. Math. Sci. Adv. Appl. 3, 2 (1) (2009), 1-12 (# GNSF /ST 07/3-178)

[49] G.Pantsulaia , On a generalized Fourier $mu$-series in some infinite-dimensional Polish topological vector spaces , Georg. Inter. J. Sci. Tech., Nova Science Publishers, 1( 4) (2008), 313-326. Georgian Science and Technology Developments (Editor F.Columbus) (2011) , 355-368 (# GNSF /ST 07/3-178, # GNSF /ST 08/3-391)

[50] G.Pantsulaia , On a certain example of a non-locally compact non-abelian Polish group which does not satisfy CCC, Sokhumi state university proceedings, Mathematics and computer series, v. 4 (2008), 94-98

[51] G.Pantsulaia , G.Giorgadze, On Lioville type theorems for Mankiewicz and Preiss-Tišer generators in , Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 2, Issue 1 (2009) 89-101 . Focus on Science and Technology from a Georgian Perspective (Editor S.Gotsiridze ) (2011), 89-102( # GNSF /ST 07/3-178, # GNSF /ST 08/3-391)

[52] G.Pantsulaia , On infinite version of some classical results in Linear Algebra and Vector Analysis , Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 2, Issue 1 (2009) , 73-88. Focus on Science and Technology from a Georgian Perspective (Editor S.Gotsiridze ) (2011),73-87( # GNSF /ST 07/3-178, # GNSF /ST 08/3-391)

[53] G.Pantsulaia, On a certain transition kernel in Solovay model, Fifth congress of mathematicians of Georgia, Batumi-Kutaisi (Georgia), Abstracts of contributed talks, p. 31(2009).

[54] G.Pantsulaia , On a certain property of zeroes of the Riemann's extended zeta function, J. of Algebras, Groups and Geometries, 26, No. 2, 223-229 (2009).

[55] G.Pantsulaia , On a certain problem of E.Szpilrajn for non-separable complete metric spaces, Abstracts, stochastic analysis and random dynamics, International conference, June 14-20, Lviv, Ukraine, 190-191 ( 2009).

[56] G.Pantsulaia , On ordinary and Standard Lebesgue Measures on $R^{infty}$, Bull. Polish Acad. Sci.73(3) (2009), 209-222( # GNSF /ST 07/3-178, # GNSF /ST 08/3-391).

[57] G.Pantsulaia , On Lioville type theorems for generators of shy sets in the infinite-dimensional Polish topological vector space , Abstracts, stochastic analysis and random dynamics, International conference, June 14-20, Lviv, Ukraine, 192-193 ( 2009).

[58] G.Pantsulaia, On a certain criterion of shyness for subsets in the product of unimodular Polish groups that are not compact, J. Math. Sci. Adv. Appl., 3 (2) (2009), 287-302

[59] G.Pantsulaia, On Erdosh one problem for extensions of Lebesgue measures, Hadronic J., Volume 32, Number 4, August (2009), 425-433(# GNSF /ST

07/3-178, # GNSF /ST 09/3-105)

[60] G.Pantsulaia , On T-shy sets in Radon metric groups, J. Math. Sci. Adv. Appl. 5 (1) (2010), 149-186 ( # GNSF / ST 09/3 - 105)

[61] G.Pantsulaia , An expansion into infinite-dimensional multiple trigonometric series of a square integrable function in $R^{infty}$, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 2, Issue 4 (2010)(# GNSF = ST 08/3-391, # GNSF = ST 09_144-3-105)

[62] G.Pantsulaia , On Gaussian measures on ${ f R}^{I}$ and some of their applications, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 2, Issue 4 (2010).

[63] G.Pantsulaia , On phase flows in ${ f R}^{infty}$ defined by Riemann's alternating zeta function, Algebras Groups Geom. 27 (2010) ( # GNSF / ST 09/3 - 105)

[64] Pantsulaia, G.; Zhivkov, N. V. On Witsenhausen-Kalai constants for extensions of the surface measure on $Ssp n$. Algebras Groups Geom. 27 (2010), no. 4, 391--407.

[65] G.Pantsulaia , On Planar Sets Without of Vertices of a Triangle of an Area One, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 2, Issue 2 (2010), 103-107. Focus on Science and Technology from a Georgian Perspective (Editor S.Gotsiridze ) (2011), 103-108( # GNSF /STO 7/3-178, # GNSF /STO 8/3-105)

[66] G.Pantsulaia , On a Certain Partition of the Lebesgue Null Set in $R^n$, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 2, Issue 2 (2010), 109-117. Focus on Science and Technology from a Georgian Perspective (Editor S.Gotsiridze ) (2011),109-117( # GNSF /STO 7/3-178, # GNSF /STO 8/3-105)

[67] G.Pantsulaia , On a Certain Application of Preiss-Tiser Generators, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 2, Issue 2 (2010), 119-123. Focus on Science and Technology from a Georgian Perspective (Editor S.Gotsiridze ) (2011),119-124 ( # GNSF /STO 7/3-178, # GNSF /STO 8/3-105)

[68] G.Pantsulaia , On Measurability of Unions of Plane Disks , Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 2, Issue 2 (2010) , 125-129. Focus on Science and Technology from a Georgian Perspective (Editor S.Gotsiridze ) (2011), 125-129

( # GNSF /STO 7/3-178, # GNSF /STO 8/3-105)

[69] G.Pantsulaia , On a standard product of an arbitrary family of -finite Borel measures with domain in Polish spaces, Theory Stoch. Process, vol. 16(32), 2010, no 1, p.84-93 (# GNSF / ST 08/3 − 391, # GNSF / ST 09/3 - 611)

[70] G.Pantsulaia, On a certain problem of Mauldin-Preiss-Weizsacker, Reports of Enlarged Session of the Seminar of I.Vekua Institute of Applied Mathematics, Volume 24(2010), pp. 97-98

[71] G.Pantsulaia , On ordinary and standard products of infinite family of $sigma$ -finite measures and some of their applications. Acta Math. Sin. (Engl. Ser.) 27 (2011), no. 3, 477--496(# GNSF = ST 08/3-391, # GNSF = ST 09_144-3-105)

[72] G.Pantsulaia , On Uniform Measures in Banach Spaces, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 2, Issue 3 (2010). Technology from a Georgian Perspective (Editor S.Gotsiridze ) (2011), 239-247(GNSF /ST 07/3-178, GNSF /ST 08/3-391, GNSF = ST 09_144-3-105)

[73] G.Pantsulaia , Riemann Integrability and Uniform Distribution in Infinite-Dimensional Rectangles, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 2, Issue 3 (2010). Focus on Science and Technology from a Georgian Perspective (Editor S.Gotsiridze ) (2011), 249-260(# GNSF/ST 08/3-391, # GNSF / ST 09_144-3-105)

[74] G.Pantsulaia , On Strict Standard and Strict Ordinary Products of Measures and Some of Their Applications, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 2, Issue 3 (2010). Focus on Science and Technology from a Georgian Perspective (Editor S.Gotsiridze ) (2011),261-294 (# GNSF/ST 08/3-391, # GNSF / ST 09_144-3-105)

[75] G.Pantsulaia , Generators of Shy Sets in Polish Groups. Nova Science Publishers, Inc., New York, 2011 , xii -227p (ISBN: 978-1-61728-030-6 )

[76] G.Pantsulaia , G.Giorgadze, ``Lebesgue ''-null sets in ${ f R}^{infty}$ are not preserved under Lipschitz isomorphisms, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 3, Issue 1 (2011), 39-49( # GNSF = ST 09_144-3-105)

[77] G.Pantsulaia , G.Giorgadze, On invariant generators of shy sets for a certain nonhomogeneous stochastic differential equation in , Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 3, Issue 1 (2011), 51-60( # GNSF = ST 09_144-3-105).

[78] G.Pantsulaia , G.Giorgadze, On some applications of infinite-dimensional cellular matrices , Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 3, Issue 1 (2011), 107-129( # GNSF = ST 09_144-3-105)

[79] G.Pantsulaia , On singularity of non- -finite measures and transition kernels, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 3, Issue 1 (2011), 21-37.

(# GNSF = ST 08/3-391, # GNSF = ST 09_144-3-105)

[80] G.Pantsulaia , On uniformly distributed sequences of an increasing family of finite sets in infinite-dimensional rectangles, Real Anal. Exchange , Vol. 36(2), 2010/2011, pp. 325-340(# GNSF = ST 08/3-391, # GNSF = ST 09_144-3-105)

[81] G.Pantsulaia , On uniformly distribution in infinite-dimensional rectangles, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 3, Issue 2 (2011).

[82] G.Pantsulaia , G.Saatashvili, On separation of the family of $N$-powers of shift-measures in $R^{infty}$,Georg. Inter. J. Sci. Tech., Volume 3, Issue 2 (2011), 189-195.

[83] G.Pantsulaia , On Invariant Extensions of the Standard Product of an Arbitrary Family of Haar Measures with Domain in Polish Groups, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 3, Issue 2 (2011).

[84] G.Pantsulaia , On a Certain Geometric Inequality on a Sphere Sn, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 3, Issue 2 (2011) ( # GNSF = ST 09_144-3-105).

[85] G.Pantsulaia , On Convolution Problem on the Group {-1,+1}∞, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 3, Issue 3 (2011),327-333( # GNSF = ST 09_144-3-105).

[86] G.Pantsulaia , On left-Invariant Borel Measures on the Product of Locally Compact Hausdorff Groups That Are Not Compact ,Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 3, Issue 3 (2011), 335-344( # GNSF = ST 09_144-3-105)

[87] G.Pantsulaia , Selected topics of an infinite-dimensional classical analysis. Nova Science Publishers, Inc., New York, 2012, xii -183 p ( ISBN: 1619427176, ISBN: 9781619427174).

[88] G.Pantsulaia , On an Equivalence of Outer Measures and Measures on Polish Spaces, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 3, Issue 4 (2012),

59-63.

[89] G.Pantsulaia , G.Giorgadze, On an explicit formula of a partial solution of non-homogeneous differential equation of the higher order with real constant coefficients, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 4, Issues 1,2 (2012), pp.37-47(# GNSF = ST 09_144-3-105) .

[90] G.Pantsulaia , G.Giorgadze , Description of the behaviour of phase motions defined by generalized von Foersten-Lasota equations in $R^{infty}$ in terms of ordinary and standard "Lebesgue measures"( Dedicated to the memory of Professor Andrzej Lasota), Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 4, Issues 1/2 (2012) pp. 47-62 (# GNSF = ST 09_144-3-105)

[91] Zurab Zerakidze, Gogi Pantsulaia, Gimzer Saatashvili, On consistent estimators of a usefful signal in one dimensional stochastic model when the mean is not defined for transformed signal, Georg. Inter. J. Sci. Tech., Nova Science Publishers, Volume 4, Issues 3-4 (2012).

https://www.novapublishers.com/catalog/product_info.php?products_id=38500

[92] Tepper L.Gill, G.R.Pantsulaia, and W.W. Zachary, Constructive Analysis In Infinitely Many Variables, arXiv 1206-1764v2 [math-FA] 26 june 2012 http://arxiv.org/abs/1206.1764

[93] Tepper L.Gill, G.R.Pantsulaia, and W.W. Zachary, Constructive Analysis In Infinitely Many Variables, Communications in Mathematical Analysis, Volume 13, Number 1, pp. 107-141(2012) ISSN 19389787

[94] G.Pantsulaia , Tepper L.Gill, G.Giorgadze, On Dynamical Systems Defined by Partial Differential Equations of Infinite Order with Real Constant Coefficients, Georg. Inter. J. Sci. Tech., Volume 4, Issues 3 (2013), pp. 53-94.

https://www.novapublishers.com/catalog/product_info.php?products_id=38500

[95]. G. Pantsulaia , On some examples of generators of shy sets in the Euclidean plane and related topics, Georg. Inter. J. Sci. Tech., Volume 4, Issues 3 (2013), pp. 29-38

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[96].G.Pantsulaia , On Uniformly Distributed Sequences on [-1/2,1/2], Georg. Inter. J. Sci. Tech., Volume 4, Issues 3 (2013), pp. 21-27.

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[97].G. Pantsulaia , On existence and uniqueness of generators of shy sets in Polish groups, J. Math. Sci. Adv. Appl. Volume no :16, Issue no: 1-2, July and August( 2012) pp.61 -78.

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[98] T. Gill, A.Kirtadze, G.Pantsulaia , A.Plichko, The existence and uniqueness of translation invariant measure in separable Banach spaces, Functiones et Approximatio, Commentarii Mathematici(Submitted)

[99] Zurab Zerakidze, Gogi Pantsulaia, Gimzer Saatashvili, On the separation problem for a family of Borel and Baire $G$-powers of shift-measures

on $mathbb{R}$, Ukrainian Mathematical Journal, v. 65, issue 4, 2013, 470-485.