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Titluri: conferenţiar cercetător, doctor Postul: cercetător ştiinţific coordonator Data naşterii: 10 decembrie 1957 Lucrări: 46 Limbi străine: Rusa, Ucraineana, Engleza, Poloneza Telefon: 73-80-46 E-mail:

Domeniul de cercetare

Teoria probabilităţilor, statistica matematică, procese stocastice, evoluţiile aleatoare, procese de difuzie cu viteză finită, procese de transfer în sistemele biologice şi fizice, rătăciri aleatoare, procese stocastice în medii aleatoare, ecuaţii diferenţiale parţiale în modele stocastice, fizica statistică, procese unduioase, probabilităţi pe structure algebrice, controlul statistic al calităţii

Lucrări importante

• 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, 1631-1641.
• 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.
• Exact distribution for a planar random motion model, controlled by a fourth-order hyperbolic equation.
  Orsingher E. and Kolesnik A.D. Theory Probab. Appl., 1996, 41, 379-386.
• 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)

Apartenenţa la societăţi, redacţii

• Recenzent al revistei internaţionale: "Journal of Applied Probability".
• Recenzent al revistei internaţionale: "Advances in Applied Probability".
• Recenzent al revistei internaţionale: "Stochastics and Stochastics Reports".
• Recenzent al revistei internaţionale: "Bernoulli".
• Recenzent al revistei internaţionale: "Physics Letters A".
• Recenzent al revistei internaţionale: "ESAIM: Probability and Statistics".
• Recenzent al revistei: "Theory of Stochastic Processes".
• Membru societăţii ştiinţifice internaţionale: Institute of Mathematical Statistics (SUA).
• Membru societăţii ştiinţifice internaţionale: Gesellschaft fur Angewandte Mathematik und Mechanik (GAMM) (Germania).

Distincţii

• Laureat al Premiului republican pentru tineret în domeniul ştiinţei şi tehnicii (anul 1992).
• Laureat al Premiului Institutului de Matematică şi Informatică al AşM pentru lucrări ştiinţifice de valoare (anii 1996, 1999, 2001, 2008).

Publicaţii în Computer Science Journal of Moldova şi Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

• 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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