info@viam.science.tsu.ge (+995 32) 2 30 30 40 (+995 32) 2 18 66 45

Gogi Pantsulaia

  • Office: University str.11, 0186 Tbilisi, Georgia
  • Phone:
  • E-mail: gogi_pantsulaia@hotmail.com
  • Research fields:

Summary

Projects

Talks

  • On a certain version of Erdos problem, by Gogi Pantsulaia (Speaker), Nino Rusiashvili at Georgian Mathematical Union IV International Conference, Batumi, Georgia, 09-15 September, 2013.
  • On a certain problem of H. Shi in Solovay's model , by Gogi Pantsulaia (Speaker) at II International Conference on Modern Problems in Applied Mathematics, Tbilisi, Georgia, 04-07 September, 2013.
  • On consistent estimators of a useful signal in the linear onedimensional stochastic model when an expectation of the transformed signal does not exist. , by Gogi Pantsulaia (Speaker), Zurab Zerakidze, Gimzer Saatashvili at The First Conference in Exact and Natural Sciences, Tbilisi, Georgia, 22-26 January, 2013.

Publications

  • Gogi Pantsulaia, Applications of Measure Theory to Statistics, Springer International Publishing, Springer International Publishing, 2016.
  • Gogi Pantsulaia, THE PROOF OF A CERTAIN VERSION OF KOLMOGOROV STRONG LAW OF LARGE NUMBERS, , , 2016.
  • Gogi Pantsulaia, Infinite-Dimensional Monte Carlo Integration, Applications of Measure Theory to Statistics, 19-46, Springer, 2016.
  • Gogi Pantsulaia, Calculation of Improper Integrals by Using Uniformly Distributed Sequences, Applications of Measure Theory to Statistics, 1-18, Springer, 2016.
  • Gogi Pantsulaia, Objective and Strong Objective Consistent Estimates of Unknown Parameters for Statistical Structures in a Polish Group Admitting an Invariant Metric, Applications of Measure Theory to Statistics, 73-106, Springer, 2016.
  • Gogi Pantsulaia, Structure of All Real-Valued Sequences Uniformly Distributed in from the Point of View of Shyness, Applications of Measure Theory to Statistics, 47-56, Springer, 2016.
  • Gogi Pantsulaia, Why Null Hypothesis Is Rejected for Almost Every Infinite Sample by the Hypothesis Testing of a Maximal Reliability, Applications of Measure Theory to Statistics, 107-118, Springer, 2016.
  • Gogi Pantsulaia, On Moore–Yamasaki–Kharazishvili Type Measures and the Infinite Powers of Borel Diffused Probability Measures on R, Applications of Measure Theory to Statistics, 57-71, Springer, 2016.
  • Gogi Pantsulaia, Zurab Kvatadze, L Labadze, On a consistent estimator of a useful signal in Ornstein-Uhlenbeck model in , arXiv preprint arXiv:1612.03904, Arxiv, 2016.
  • Gogi Pantsulaia, Tengiz Kiria, Calculation of Lebesgue integrals by using uniformly distributed sequences, Transactions of A. Razmadze Mathematical Institute 170 (3), 402-409, A. Razmadze Mathematical Institute, 2016.
  • L Labadze, Gimzer Saatashvili, Gogi Pantsulaia, Infinite-sample consistent estimations of parameters of the Wiener process with drift, arXiv preprint arXiv:1611.01119, Arxiv, 2016.
  • L Labadze, Gogi Pantsulaia, Estimation of the parameters of the Ornstein-Uhlenbeck's stochastic process, arXiv preprint arXiv:1608.04507, Arxiv, 2016.
  • Gogi Pantsulaia, Givi Giorgadze, Representation of the Dirac delta function in in terms of infinite-dimensional Lebesgue measures, arXiv preprint arXiv:1605.02723, Arxiv, 2016.
  • Aleks Petre Kirtadze, Gogi Pantsulaia, Nino Rusiashvili, On uniform distribution for invariant extensions of the linear Lebesgue measure, arXiv preprint arXiv:1603.04472, Arxiv, 2016.
  • Gogi Pantsulaia, Givi Giorgadze, Satisfaction Problem of Consumers Demands measured by ordinary "Lebesgue measures" in R∞, arXiv preprint arXiv:1510.06251, Arxiv, 2015.
  • Gogi Pantsulaia, Khatuna Elbakidze, Givi Giorgadze, On a linear non-homogeneous ordinary differential equation of the higher order whose coefficients are real-valued simple step functions, arXiv:1505.06247 [math.CA], Arxiv, 2015.
  • Gogi Pantsulaia, Tengiz Kiria, ON STATISTICAL STRUCTURES IN A POLISH NON-LOCALLY-COMPACT GROUP ADMITTING AN INVARIANT METRIC, PROCEEDINGS OF A RAZMADZE MATHEMATICAL INSTITUTE 168, 117-127, Elsevier BV, 2015.
  • Gogi Pantsulaia, CONSTRUCTION OF INVARIANT NON-SEPARABLE EXTENSIONS OF THE MEASURE DEFINED BY H-VALUED MEASURABLE G-PROCESS ON HG, Palestine Journal of Mathematics 4 (2), Palestine Polytechnic University, 2015.
  • Gogi Pantsulaia, M Kintsurashvili, On some applications of Haar ambivalents in mathematical statistics, The 43rd Winter School in Abstract Analysis, , 2015.
  • Gogi Pantsulaia, Under Collatz conjecture the Collatz mapping has no an asymptotic mixing property , arXiv preprint arXiv:1502.05602, Arxiv, 2015.
  • M Kintsurashvili, Tengiz Kiria, Gogi Pantsulaia, On objective and strong objective consistent estimates of unknown parameters for statistical structures in a Polish group admitting an invariant metric, arXiv preprint arXiv:1502.07463, Arxiv, 2015.
  • Gogi Pantsulaia, Givi Giorgadze, On a linear partial differential equation of the higher order in two variables with initial condition whose coefficients are real-valued simple step functions, arXiv preprint arXiv:1505.00896, Arxiv, 2015.
  • Tengiz Kiria, Gogi Pantsulaia, M Kintsurashvili, On Moore-Yamasaki-Kharazishvili type measures and the infinite powers of Borel diffused probability measures on ${\bf R}, arXiv preprint arXiv:1506.02935, Arxiv, 2015.
  • Gogi Pantsulaia, Solovay model and duality principle between the measure and the Baire category in a Polish topological vector space , arXiv preprint arXiv:1505.06665, Arxiv, 2015.
  • Gogi Pantsulaia, A short proof of a certain version of Kolmogorov strong law of large numbers, arXiv preprint arXiv:1506.04453, Arxiv, 2015.
  • Gogi Pantsulaia, On structure of uniformly distributed sequences in from the point of view of shyness, arXiv preprint arXiv:1506.07009, Arxiv, 2015.
  • Gogi Pantsulaia, Is an arbitrary diffused Borel probability measure in a Polish space without isolated points Haar measure?, arXiv preprint arXiv:1508.01751, Arxiv, 2015.
  • Gogi Pantsulaia, M Kintsurashvili, Why is Null Hypothesis rejected for” almost every” infinite sample by some Hypothesis Testing of maximal reliability, Journal of Statistics: Advances in Theory and Applications 11 (1), 45-70, Scientific Advances Publishers , 2014.
  • Gogi Pantsulaia, M Kintsurashvili, AN OBJECTIVE INFINITE SAMPLE WELL-FOUNDED ESTIMATE OF A USEFUL SIGNAL IN THE LINEAR ONE-DIMENSIONAL STOCHASTIC MODEL, Rep. Enlarged Sess. Semin. I. Vekua Appl. Math 28, 90-93, VIAM, 2014.
  • Tepper Gill, Aleks Petre Kirtadze, Gogi Pantsulaia, A Plichko, Existence and uniqueness of translation invariant measures in separable Banach spaces, Functiones et Approximatio Commentarii Mathematici 50 (2), 401-419, Adam Mickiewicz University Press, Adam Mickiewicz University, 2014.
  • Gogi Pantsulaia, M Kintsurashvili, An effective construction of the strong objective infinite sample well-founded estimate, Proc. A. Razmadze Math. Ins 166, 113-119, A. Razmadze Mathematical Institute (Georgia), 2014.
  • Gogi Pantsulaia, ON STRANGE NULL SETS IN SOME VECTOR SPACES, Georgian International Journal of Science, Technology and Medicine 6 (1), 41, Hauppauge, NY : Nova Science Publishers, 2014.
  • Gogi Pantsulaia, Givi Giorgadze, ON A REPRESENTATION OF THE SOLUTION OF A CERTAIN GENERALIZED HEAT EQUATION OF MANY VARIABLES IN A MULTIPLE TRIGONOMETRIC SERIES, Georgian International Journal of Science, Technology and Medicine 6 (2), 133, Hauppauge, NY : Nova Science Publishers, 2014.
  • Gogi Pantsulaia, ON MAXIMAL PLANE SETS CONTAINING ONLY THE VERTICES OF A TRIANGLE WITH AREA LESS THAN ONE, Georgian International Journal of Science, Technology and Medicine 6 (2), 113, Hauppauge, NY : Nova Science Publishers, 2014.
  • Gogi Pantsulaia, Aleks Petre Kirtadze, ON A CERTAIN MODIFICATION OF P. ERDÖS PROBLEM FOR TRANSLATION-INVARIANT QUASI-FINITE DIFFUSED BOREL MEASURES IN POLISH GROUPS THAT ARE NOT LOCALLY COMPACT, Georgian International Journal of Science, Technology and Medicine 6 (2), 119, Hauppauge, NY : Nova Science Publishers, 2014.
  • Gogi Pantsulaia, Tepper Gill, Givi Giorgadze, On a heat equation in an infinite-dimensional separable Banach space with Schauder basis, Georgian International Journal of Science, Technology and Medicine 6 (2), 149, Hauppauge, NY : Nova Science Publishers, 2014.
  • Gogi Pantsulaia, Aleks Petre Kirtadze, ON WITSENHAUSEN-KALAI CONSTANTS FOR INFINITE-DIMENSIONAL SURFACE DYNAMICAL MEASURES, Georgian International Journal of Science, Technology and Medicine 6 (2), 167, Hauppauge, NY : Nova Science Publishers, 2014.
  • Gogi Pantsulaia, A Classification OF NON-MEASURABLE REAL-VALUED FUNCTIONS DEFINED ON A METRIC SPACE, Georgian International Journal of Science, Technology and Medicine 6 (3), 249, Hauppauge, NY : Nova Science Publishers, 2014.
  • Gogi Pantsulaia, Nino Rusiashvili, On a certain version of the Erdös problem, Georgian International Journal of Science, Technology and Medicine 6 (3), 257, Hauppauge, NY : Nova Science Publishers, 2014.
  • Gogi Pantsulaia, Givi Giorgadze, A DESCRIPTION OF THE BEHAVIOR OF SOME PHASE MOTIONS IN TERMS OF ORDINARY AND STANDARD" LEBESGUE MEASURES" IN R [infinity], Georgian International Journal of Science, Technology and Medicine 6 (4), 285, Hauppauge, NY : Nova Science Publishers, 2014.
  • Gogi Pantsulaia, Selected topics of invariant measures in Polish groups, Nova Publishers, Nova Publishers, 2014.
  • Gogi Pantsulaia, Givi Giorgadze, ON GENERALIZED VON FOERSTER-LASOTA EQUATIONS OF THE INFINITE ORDER IN R^ sup [infinity]^, Georgian International Journal of Science, Technology and Medicine 5 (3/4), 195, Hauppauge, NY : Nova Science Publishers, 2013.
  • Gogi Pantsulaia, Nino Rusiashvili, ON QUESTIONS OF U. DARJI AND D. FREMLIN, Georgian International Journal of Science, Technology and Medicine 5 (3/4), 181, Hauppauge, NY : Nova Science Publishers, 2013.
  • Tepper Gill, Aleks Petre Kirtadze, Gogi Pantsulaia, Nino Rusiashvili, A Plichko, On ordinary and standard" Lebesgue measures" in separable Banach spaces, Georgian International Journal of Science, Technology and Medicine 5 (3/4), 115, Hauppauge, NY : Nova Science Publishers, 2013.
  • Gogi Pantsulaia, ON A UNION FEWER THAN c GENERALIZED SHY SETS, Georgian International Journal of Science, Technology and Medicine 5 (1/2), 79, Hauppauge, NY : Nova Science Publishers, 2013.
  • Gogi Pantsulaia, Givi Giorgadze, Description of the behaviour of phase motions defined by generalized von Foersten-Lasota equations in R∞ in terms of ordinary and standard” Lebesgue measures”, Inter. J. Sci. Tech 4 (1/2), 47-62, R. M. Deshmukh, 2012.
  • Gogi Pantsulaia, ON UNIFORMLY DISTRIBUTED SEQUENCES, Georgian International Journal of Science, Technology and Medicine 4 (3/4), 209, Hauppauge, NY : Nova Science Publishers, 2012.
  • Gogi Pantsulaia, ON SOME EXAMPLES OF GENERATORS OF SHY SETS IN THE EUCLIDEAN PLANE AND RELATED TOPICS, Georgian International Journal of Science, Technology and Medicine 4 (3/4), 217, Hauppauge, NY : Nova Science Publishers, 2012.
  • Gogi Pantsulaia, Tepper Gill, WW Zachary, Constructive analysis in infinitely many variables, arXiv preprint arXiv:1206.1764, Arxiv, 2012.
  • Gogi Pantsulaia, ON UNIFORMLY DISTRIBUTED SEQUENCES, Georgian International Journal of Science, Technology and Medicine 4 (3/4), 209, Hauppauge, NY : Nova Science Publishers, 2012.
  • Gogi Pantsulaia, Tepper Gill, Givi Giorgadze, ON DYNAMICAL SYSTEMS DEFINED BY PARTIAL DIFFERENTIAL EQUATIONS OF INFINITE ORDER WITH REAL CONSTANT COEFFICIENTS, Georgian International Journal of Science, Technology and Medicine 4 (3/4), 241, Hauppauge, NY : Nova Science Publishers, 2012.
  • Gogi Pantsulaia, Gimzer Saatashvili, Zurab Zerakidze, ON CONSISTENT ESTIMATORS OF A USEFUL SIGNAL IN THE LINEAR ONE-DIMENSIONAL STOCHASTIC MODEL WHEN AN EXPECTATION OF THE TRANSFORMED SIGNAL IS NOT DEFINED, Georgian International Journal of Science, Technology and Medicine 4 (3/4), 189, Hauppauge, NY : Nova Science Publishers, 2012.
  • Gogi Pantsulaia, Givi Giorgadze, ON AN EXPLICIT FORMULA FOR A PARTIAL SOLUTION OF THE NON-HOMOGENEOUS DIFFERENTIAL EQUATION OF THE HIGHER ORDER WITH REAL CONSTANT COEFFICIENTS, Georgian International Journal of Science, Technology and Medicine 4 (1/2), 37, Hauppauge, NY : Nova Science Publishers, 2012.
  • Gogi Pantsulaia, Givi Giorgadze, On some applications of infinite-dimensional cellular matrices, Georg. Inter. J. Sci. Tech., Nova Science Publishers 3 (1), 107-129, Georg. Inter. J. Sci. Tech., Nova Science Publishers, 2011.
  • Gogi Pantsulaia, On ordinary and standard products of infinite family of σ-finite measures and some of their applications, Acta Mathematica Sinica, English Series 27 (3), 477-496, Springer Science+Business Media, 2011.
  • Gogi Pantsulaia, On uniformly distributed sequences of an increasing family of finite sets in infinite-dimensional rectangles, Real Analysis Exchange 36 (2), 325-340, Michigan State University Press, 2011.
  • Gogi Pantsulaia, On Strict Standard and Strict Ordinary Products of Measures and Some of Their Applications, Georgian International Journal of Science and Technology, Nova Science …, , 2010.
  • Gogi Pantsulaia, On a standard product of an arbitrary family of -finite Borel measures with domains in Polish spaces, Theory of Stochastic Processes 16 (1), 84-93, Institute of Mathematics of Ukrainian National Academy of Sciences, 2010.
  • Gogi Pantsulaia, On uniform measures in Banach spaces, Georgian International Journal of Science and Technology, Nova Science …, , 2010.
  • Gogi Pantsulaia, On a certain partition of the non-locally compact abelian Polish group RN, Proc. A. Razmadze Math. Inst 149, 75-86, A. Razmadze Mathematical Institute (Georgia), 2009.
  • Gogi Pantsulaia, On ordinary and standard Lebesgue measures on R∞, Bull. Polish Acad. Sci 73 (3), 209-222, Bulletin of the Polish Academy of Sciences, 2009.
  • Gogi Pantsulaia, On intersection of problems of theoretical statistics and set theory, Far East Journal of Theoretical Statistics 25 (2), 251-271, Pushpa Publishing House, 2008.
  • Gogi Pantsulaia, On generators of shy sets on Polish topological vector spaces, New York J. Math 14, 235-261, New York J. Math , 2008.
  • Gogi Pantsulaia, ON THE KOMJATH CONJECTURE IN THE MARTIN-SOLOVAY MODEL, Georgian International Journal of Science and Technology 1 (1), , 2008.
  • Gogi Pantsulaia, On a generalized Fourier µ-series in some infinite-dimensional Polish topological vector spaces, Georgian International Journal of Science and Technology 1 (4), , 2008.
  • Gogi Pantsulaia, Givi Giorgadze, On analogy of Liouville theorem in infinitedimensional separable Hilbert space, Georgian International Journal of Science and Technology 1 (2), 167-179, , 2008.
  • Aleks Petre Kirtadze, Gogi Pantsulaia, Lebesgue nonmeasurable sets and the uniqueness of invariant measures in infinite-dimensional vector spaces, Proc. A. Razmadze Math. Inst 143, 95-101, A. Razmadze Mathematical Institute (Georgia), 2007.
  • Gogi Pantsulaia, Invariant and quasiinvariant measures in infinite-dimensional topological vector spaces, Nova Science Pub Incorporated, Nova Science Publishers, Inc., New York, 2007.
  • Aleks Petre Kirtadze, Gogi Pantsulaia, On Null Sets in Infinite-Dimensional Banach Spaces, Proc. A. Razmadze Math. Inst 139, 128-131, A. Razmadze Mathematical Institute (Georgia), 2005.
  • Gogi Pantsulaia, An application of independent families of sets to the measure extension problem, Walter de Gruyter GmbH & Co. KG 11 (2), 379-390, De Gruyter, 2004.
  • Gogi Pantsulaia, On an invariant Borel measure in Hilbert space, Bulletin Polish Acad. Sci. Math. 52, 47-51, Bulletin Polish Acad. Sci. Math., 2004.
  • Gogi Pantsulaia, Relations between Shy Sets and Sets of -Measure Zero in Solovay's Model, Bulletin Polish Acad. Sci. Math. 52, 63-69, Bulletin Polish Acad. Sci. Math., 2004.
  • Gogi Pantsulaia, ON SOME QUASIINVARIANT MEASURES AND DYNAMICAL SYSTEMS IN INFINITE DIMENSIONAL TOPOLOGICAL VECTOR SPACES, GEORGIAN TECHNICAL UNIVERSITY, GEORGIAN TECHNICAL UNIVERSITY, 2003.
  • Gogi Pantsulaia, On separation properties for families of probability measures, Walter de Gruyter GmbH & Co. KG 10 (2), 335-341, De Gruyter, 2003.
  • Gogi Pantsulaia, Duality of Measure and Category in Infinite-Dimensional Separable Hilbert Space ℓ2, International Journal of Mathematics and Mathematical Sciences 30 (6), 353-363, Hindawi, 2002.
  • Gogi Pantsulaia, Tengiz Kiria, Calculation of Lebesgue Integrals by Using Uniformly Distributed Sequences in (0,1), arXiv preprint arXiv:1601.04088, Arxiv, 2000.