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Degrees: Associate Professor, Dr. habil. Function: Leading Researcher Date of birth: December 10, 1957 Publications: 52 Foreign languages: Russian, Ukrainian, English Phone: 73-80-46 E-mail:

Research interests

Probability theory, mathematical statistics, stochastic processes, random evolutions, diffusion processes at finite speed, transport processes in biological and physical systems, random walks, stochastic processes in random environments, partial differential equations in stochastic models, statistical physics, wave processes, probabilities on algebraic structures, statistical quality control

Important publications

• Random evolutions are driven by the hyperparabolic operators.
  Kolesnik A.D., Pinsky M., J. Statist. Phys., 2011, v. 142, 828-846.
• The explicit probability distribution of a six-dimensional random flight.
  Kolesnik A.D., Theory Stoch. Process., 2009, nr. 15(1), 33-39.
• An asymptotic formula for the density of a multidimensional random evolution with rare Poissonian switchings.
  Kolesnik A.D., Ukrain. Math. J., 2008, vol. 60, nr. 12, 1915-1926.
• Random motions at finite speed in higher dimensions.
  Kolesnik A.D. J. Statist. Phys., 2008, 131, 1039-1065.
• A limit theorem for symmetric Markovian random evolutions in R^m.
  Kolesnik A.D. Theory Stoch. Process., 2008, nr. 14(1), 69-75.
• A note on planar random motion at finite speed.
  Kolesnik A.D. J. Appl. Probab., 2007, 44, 838-842.
• A four-dimensional random motion at finite speed.
  Kolesnik A.D. J. Appl. Probab., 2006, 43, 1107-1118.
• A planar random motion with an infinite number of directions controlled by the damped wave equation.
  Kolesnik A.D. and Orsingher E. J. Appl. Probab., 2005, 42, 1168-1182.
• Analysis of a finite-velocity planar random motion with reflection.
  Kolesnik A.D. and Orsingher E. Theory Probab. Appl., 2002, 46, 132-140.
• Weak convergence of a planar random evolution to the Wiener process.
  Kolesnik A.D. J. Theoret. Probab., 2001, 14, 485-494.
• A polynomial representation of the infinitesimal operators of Markovian random evolutions in a plane.
  Kolesnik A.D. Bull. Acad. Sci. Moldova, Ser. Math., 2000, 1(32), 67-75.
• The equation of symmetric Markovian random evolution in a plane.
  Kolesnik A.D. and Turbin A.F. Stoch. Process. Appl., 1998, 75, 67-87.
• The equations of Markovian random evolution on the line.
  Kolesnik A.D. J. Appl. Probab., 1998, 35, 27-35.
• Combinatorial formula for generalized Fibonacci sequence and Chebyshev's polynomials of two variables.
  Kolesnik A.D. Bull. Acad. Sci. Moldova, Ser. Math., 1995, 1(17), 12-18.
• Hyperbolic equations of the random evolutions in R^m.
  Turbin A.F. and Kolesnik A.D. In: "Probability Theory and Mathematical Statistics", 1992, World Scientific, 397-402.
• Infinitesimal hyperbolic operator of the Markovian random evolutions in Bbb Rⁿ.
  Kolesnik A.D. and Turbin A.F. Dokl. Akad. Nauk Ukrain., 1991, 1, 11-14. (Russian)
• Symmetric random evolutions in R².
  Kolesnik A.D. and Turbin A.F. Dokl. Acad. Nauk Ukrain., 1990, 2, 10-11. (Russian)

Membership in Societies and Editorial Boards

• Reviewer in international journal "Journal of Theoretical Probability".
• Reviewer in international journal "Journal of Applied Probability".
• Reviewer in international journal "Advances in Applied Probability".
• Reviewer in international journal "Stochastics and Stochastics Reports".
• Reviewer in international journal "Bernoulli".
• Reviewer in international journal "Stochastic Models".
• Reviewer in international journal "Physics Letters A".
• Reviewer in international journal "ESAIM: Probability and Statistics".
• Reviewer in journal "Theory of Stochastic Processes".
• Member of the Board of Global Advisors of the International Federation of Nonlinear Analysts (IFNA).
• Member of the Scientific Council of the Institute of Mathematics and Computer Science.
• Member of international scientific society: the Institute of Mathematical Statistics (USA).
• Member of international scientific society: Gesellschaft fur angewandte Mathematik und Mechanik (GAMM) (Germany).

Distinctions

• Laureate of the Republican Award for Youth in Domain of Science and Technology (1992).
• Laureate of Award of the Institute of Mathematics and Computer Science for valuable scientific publications (1996, 1999, 2001, 2008, 2011)

Publications in Computer Science Journal of Moldova, Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica and Quasigroups and Related Systems

• 2009 The distribution of a planar random evolution with random start point.
• 2008 Moments of the Markovian random evolutions in two and four dimensions.
• 2008 Symmetric random evolution in the space ℜ⁶.
• 2006 Characteristic functions of Markovian random evolutions in ℜ^m.
• 2006 Discontinuous term of the distribution for Markovian random evolution in R³.
• 2004 Cyclic planar random evolution with four directions.
• 2003 Weak convergence of the distributions of Marcovian random evolutions in two and three dimensions. (English)
• 2000 A polynomial representation of the infinitesimal operator of the Markovian random evolution in a plane. (English)
• 1995 Combinatorial formula for generalized Fibonacci sequence and Chebyshev's polynomials of two variables. (English)
• 1994 On the generalized Fibonacci sequence. (English)
• 1993 Multiplicative system of functions corresponding to the group $C\sb 2 \times \Gamma$. (English)

 

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