YURIY KOLOMIYETS’ RESEARCH 

 

 

PAPERS:

 

 

1)      Kolomiets, Yuriy V. Fractional Stability of Diffusion Approximation

      for Random Differential Equations, submitted to IMS

       Lecture Notes-Monograph Series

 

2)      Kolomiyets, Yuriy V. Asymptotic Behavior of Randomly Perturbed

      Dynamical Systems, Kent State University / OhioLINK,

      2006, 38 p.,

      http://www.ohiolink.edu/etd/view.cgi?kent1164124028

 

3)      Kolomiets Yuriy V, Averaging for Systems of Stochastic Equations  

      with Random Disturbances, Theory Stoch. Process. 6(22) (2000),

      No. 1-2, 62—78. MR2007724

 

4)      Kolomiets Yuriy V, On the Weak Convergence of Solutions of

      Randomly Perturbed Evolution Equations,

      Ukrainian Math. J. 47 (1995), No. 2, 250--258 (1996). MR1353626

 

5)      Kolomiets, Yu. V. The Averaging of Evolutional Equations

      with Rapidly Oscillating Disturbed Coefficients,

      Arato, M. (ed.) et al.,

      New trends in probability and mathematical statistics.

      Proceedings of the second Ulrainian-Hungarian

      conference, Mukachevo, Ukraine, September 25-

      Oktober 1, 1992. Kiev: TViMS.

      Teor. Veroyatn. Mat. Stat./

      Probab. Theory Math. Stat. 2 (1995), 354--360. Zbl 1029.60517

 

6)      Kolomiets, Yu. V. On the Weak Convergence of the Solutions

      to Random Disturbing Partial Differential Equations,

      (Russian), Theory Stoch. Process. 1(17) No. 1, 35--44  (1995),

      Zbl 1026.60033

 

7)       Kolomiets, Yu. V.  Averaging Randomly Perturbed Evolution Equations,

       Ukrainian Math. J. 45 (1993), No. 7, 1066—1076 (1994) MR1260655

 

8)   Kolomiets, Yu. V. Averaging for Partial Differential Equations whose

            Coefficients are Perturbed by Jump Markov Processes,

      Ukrainian Math. J. 44 (1992), No. 10, 1253—1261 (1993)  MR1201136

 

9)       Kolomiets, Yu. V. Averaging Evolution Equations that can be

       Perturbed by Random Processes with Jumps, Ukrainian Math. J. 44

       (1992), no. 2, 175-184. MR1184127

 

10)  Kolomiets, Yuriy V. Averaging Principle for PDE with Random

       Perturbations, (Russian)  Autoref. of Cand. Phiz.-Mat. Nauk: 01.01.05.,

       Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1990, 15p

 

11)   Kolomiets, Yu. V. Averaging of Evolution Equations with

       Perturbed Coefficients, (Russian) Infinite-dimensional stochastic

       analysis (Russian), 67--76, Akad. Nauk Ukrain. SSR, Inst.

       Mat., Kiev, 1990. MR1127603

 

12)  Kolomiets, Yu. V.   Averaging of Evolution Equations with

       Random Perturbations, (Russian) Theory of Random Processes and

       its Applications (Russian), 72--81, "Naukova Dumka", Kiev,

       1990. MR1098110

 

    

 

INTERNATIONAL CONGRESS of MATHEMATICIANS:

 

--    On Behavior of Solutions of Evolution Equations

      Perturbed by Random Processes, Abstract of Short Comm.

      and Poster Sessions of the ICM, Berlin, August 18-27, 1998

 

--   Asymptotic Behavior of the Solutions of the

      Evolution Equations Perturbed by Markov Jump Processes,

      Abstract of Short Comm. of the ICM, Zurich, August 3-11,

      1994, p. 149

 

CONFERENCES/SEMINARS (TALKS, 2006):

 

--   Fractional stability of diffusion approximations

      for random differential equations,

     A Conference "Modern Stochastics: Theory and

     Applications" dedicated to the 60th anniversary

     of the Department of Probability Theory of Kyiv National

     Taras  Shevchenko University  and to the memory of

     M.I.Yadrenko, Kyiv National Taras Shevchenko University,

     Kyiv, Ukraine, June 19--23, 2006

     http://www.mechmat.univ.kiev.ua/probability/Events/2006/abstracts.pdf

 

--   Fractional Stability for Functional CLT,

     A Conference in honor of Tom Kurtz on his 65th birthday

     "Markov Processes and Related Topics",

     University of Wisconsin--Madison,

     July 10--13, 2006

      http://www.math.utah.edu/~ethier/abstracts.pdf

 

--   Fractional Stability for Functional CLT,

      2006 NSF/CBMS Regional Conference in the Mathematical

      Sciences - "Probabilistic and combinatorial approach in

      analysis",  Kent State University,   August 06--13, 2006

 

--   Fractional Stability of Diffusion Approximation for

      Random Differential Equations,

      A Conference in honor of Rafail Z. Khasminskii

      on the occasion of his 75 Birthday

      "Asymptotical Analysis in Stochastic Processes,

      Nonparametric Estimation and Related Problem",

      Wayne State University,  September 15--17, 2006, p.6

       http://www.math.wayne.edu/~conf/index_files/program.pdf

 

      --   Probability theory and Mathematical Statistics Seminar,

      Dept of Probability and Mathematical Statistics, IAMM,

      NAS of Ukraine,

      Head of Seminar Dr. S. Ya. Makhno,  June 2006

 

--   Probability Seminar,

      Department of Mathematical Sciences, Kent State University,

      Head of Seminar Dr. O. Mocioalca,   April, 2006

 

--   Fourier Analysis and Approximation Theory Seminar,

      Donetsk National University, Donetsk, Ukraine,

      Head of Seminar Dr R. Trigub and Dr. V. Zastavnyy,

      June 2006

 

--   Measure Theory Seminar, 

      Department of Mathematical Sciences, Kent State University

      Head of Seminar Dr. J. Diestel and Dr. A. Zvavich,

      October, 2006

 

RESEARCH STATEMENT

 

 

 

Home

Research

Teaching

Job Application Materials

Contact me