List of Publications

  1. 1969, Ph.D. Thesis: ”Some problems in the theory of planning of regression exper- iments and in the theory of random quadratures” Steklov Mathematical Institute, Leningrad
  2. Granovsky, B.L., On a problem arising in the theory of planning regression ex- periments, Isvestia Visshich Uchebnich Zavedenii, Ser. Math., 4 (1967), 47-53 (in Russian).
  3. Granovsky, B.L., Random quadratures of Gaussian type, USSR Comp. Math. and Physics, (1967), 244-252.
  4. Ermakov, S.M. and Granovsky, B.L., A nonparametric approach to the problem of designing regression experiments, Soviet Math. Dokl., 9 (1968), 611-613.
  5. Granovsky, B.L., On a quadrature formula with random nodes, ”Problems of Appl. Math. and Geom. Simulation”, Proc. Leningrad Inst. of Civil Engineers, (1969), 1-10 (in Russian).
  6. Ermakov, S.M. and Granovsky, B.L., Quadrature formulas with partially fi nodes, ”Methods of Computation”, Leningrad State University Publ., 1 (1970), 79-88 (in Russian).
  7. Granovsky, B.L., The sufficiency of random quadratures of Gaussian type, USSR Comp. Math. and Physics, 11 (1971), 58-66.
  8. Granovsky, B.L., On the variance of random quadratures of Gaussian type, Selected Trans. in Math. Statist. and Probability, 14 (1978), 289-296.
  9. Granovsky, B.L., Admissibility conditions for a class of Quadrature Formulas with random nodes, Mathematical Notes of the USSR, 16 (1974), 763-767.
  10. Granovsky, B.L. and G.B. Stoljarov, On the problem of admissibility of random quadratures, ”Monte Carlo Methods in Comput. Math. and Physics”, Academy of Sciences of the USSR, Siberian Branch, Novosibirsk (1974), 78-85 (in Russian).
  11. Granovsky, B.L., Methods of Numerical Computation of Integrals, a chapter of the monograph ”Monte Carlo Mrthods and Some Adjacent Problems” by S.M. Ermakov, 1975, 2nd ed., 120-202 (1st ed. 1971); German translation, 1975: ”Die Monte Carlo Methode und verwandte Fragen”, R. Oldenburg Verlag, Mtnchen.
  12. Granovsky, B.L., A method of constructing quadrature formulas for a circle, USSR Comp. Math. and Physics, 16 (1976), 229-233.
  13. Ermakov, S.M. and Granovsky, B.L., The Monte Carlo method, J. Soviet Math., 7 (1977), 161-192.
  14. Granovsky, B.L., A method of construction of optimal design for a circle, J. Soviet Math., 12 (1979), 218-226.
  15. Granovsky, B.L. and V. Knoch, Admissibility of quadrature formulas with random nodes, in ”Approximation Theory and its Applications”, Proceedings of a Workshop on Approximation Theory and its Applications, Technion, Haifa, Israel, May-June 1980, Academic Press, 1981, 135-146.
  16. Granovsky, B.L., Optimal formulas of conditional Monte Carlo, SIAM J. Alg. Dis- crete Methods, 2 (1981), 289-294.
  17. Granovsky, B.L. and O. Shisha, Computation of defi integrals with the help of the distribution function of the integrand, Compstat, (1982), 123-124, Physica- Verlag, Vienna, for IASc, 1982.
  18. Granovsky, B.L., Optimal variance reduction theorem in simulation by the Monte Carlo method, Proc. of the Austrian Academy of Sciences, Osterreichische Akademie der Wissenschaften, Mathematisch- Naturwissenschaftliche Klasse, 192 (1983), 330- 335.
  19. Granovsky, B.L. and E. Passow, Chebyshev systems of minimal degree, SIAM J. Math. Anal., 15 (1984), 166-169.
  20. Granovsky, B.L., Moment spaces of minimal dimension, Journal of Approximation Theory, 49 (1987), 390-397.
  21. Granovsky, B.L. and H.-G. Mueller, On the optimality of a class of polynomial kernel functions, J. of Statistics and Decisions, 7 (1989), 301-312.
  22. Granovsky, B.L., T. Rolski, W.A. Woyczynski and J. Mann, A general stochastic model of adsorption, Transient Behavior, Chemometrics and Intelligent Laboratory Systems, 6 (1989), 273-280.
  23. Granovsky, B.L., Admissibility of Monte Carlo procedures, J. of Stat. and Decisions, 9 (1991), 151-175.
  24. Belitsky V. and Granovsky, B.L., On the dynamics of the stochastic process of adsorption-desorption on a fi lattice, Commun. in Statist.-Stochastic Models, 7 (1991), 327-341.
  25. Granovsky, B.L. and H.G. Mueller, Optimizing kernel methods: A unifying varia- tional principle, International Statistical Review, 59 (1991), 3, 373-389.
  26. Fishman, G., Granovsky, B.L. and Rubin, D., Evaluating best-case and worst-case variances when bounds are available, Siam J. Sci. Stat. Comput., 13, 6 (1992), 1347-1360.
  27. Granovsky, B.L., and Rosov L., On transient behaviour of a nearest neighbour birth-death process on a lattice, J. Applied Probability, 31 (1994), 549-553
  28. Granovsky, B.L. and Madras, N., The noisy voter model, J. of Stoch. Processes and their Applications, 55 (1995), 23-43.
  29. Granovsky, B.L., H.-G. Mueller, and C. Pfeifer, Remarks on optimal kernel func- tions, J. of Statistics and Decisions, 13 (1995), 101-116.
  30. Granovsky, B.L., Zeifman, A.I., The decay function of nonhomogeneous birth-death processess, with application to mean-fi models, J. of Stoch. Processes and their Applications, 72 (1997), 105-120.
  31. Durret, R., Granovsky, B.L. and Gueron, S., The equilibrium behavior of reversible coagulation-fragmentation processes, J. Theoretical Probability 12 No. 2 (1999), 447-474.
  32. Granovsky, B.L. and Zeifman, A.I., Nonhomogeneous Markov queues, J. of Probab. and its Applications (short communication) 44 No. 1 (1999), 168-169.
  33. Granovsky, B.L. and Zeifman, A.I., Nonstationary Markov queues, J. of Mathemat- ical Sciences 99 No. 4 (2000), 1415-1438.
  34. Granovsky, B.L. and Zeifman, A.I., N-limit of spectral gap of a class of birth-death Markov chains, Appl. Stoch. Models in Business and Industry 16 (2000), 235-248.
  35. Freiman, G., Granovsky, B.L., Asymptotic formula for the partition function of a class of reversible coagulation-fragmentation processes, Israel Journal of Math.,130, (2002), 259-279.
  36. Granovsky,B.L., The simplest nearest-neighbor spin systems on regular graphs: Time dynamics of the mean coverage function, Markov Proceses and Related Fields, 8, no.3 (2002).
  37. Granovsky, B.L., Zeifman, A.I., Quasi-ergodic nonstationary queues, Kalashnikov memorial seminar, Information Processes(Electronic Journal), 2, v.2, 182-185(2002)
  38. Granovsky, B.L. and Zeifman, A.I., The lower boundary point of the spectrum of mean-fi models, Theory Probab. and its Applications,v.49, 2004, 164-171
  39. Granovsky, B.L., Zeifman, A.I., Nonstationary queues: Estimation of the rates of convergence, Queueing systems-theory and applications,46,363-388, 2004.
  40. Erlihson, M., Granovsky, B.L., Reversible coagulation-fragmentation processes and random combinatorial structures: asymptotics for the number of groups, Random Structures & Algorithms, v.25,2,227-245, 2004.
  41. Freiman, G., Granovsky, B.L., Clustering in coagulation- fragmentation processes, random combinatorial structures and additive number systems: Asymptotic formu- lae and limiting laws, Transactions of AMS, 357,6,2483-2507, 2005.
  42. Barbour, A.D., Granovsky, B.L., Random combinatorial structures: the convergent case, J. Comb. Theory A, 109,203-220, 2005.
  43. Granovsky, B. and Stark, D., Asymptotic enumeration and logical limit laws for expansive multisets and selections, J. London Math. Soc.,73, 252-272, 2006.
  44. Granovsky, B.L., Stark, D., Erlihson, M. Meinardus’ theorem on weighted parti- tions: Extensions and a probabilistic proof, Adv. in Applied Math., 41, 307-328, 2008.
  45. Erlihson, M., Granovsky, B.L., Limit shapes of Gibbs distributions on the set of integer partitions: The expansive case, Ann. Inst. Henri Poincare´-Probabilite´s Statistique, 44, 915-945, 2008.
  46. Granovsky, B.L., Erlihson,M., On time dynamics of coagulation-fragmentation pro- cesses, J.Stat.Physics,134,567-588, 2009.
  47. Granovsky, B.L., Kryvoshaev,A., Coagulation processes with Gibbsian time evolution, J.Appl.Prob.49,612-626, 2012.
  48. Granovsky, B. and Stark, D., A Meinardus theorem with multiple singularities. Comm. Math. Phys.314, 329-350, 2012.
  49. Granovsky, B. L., Asymptotics of counts of small components in random structures and models of coagulation-fragmentation,ESAIM:Probability and Statistics,17,631- 649, 2013.
  50. Granovsky, B.L., Asymptotic enumeration of decomposable combinatorial struc- tures with multiple sigularities,(Abstract),Electronic Notes in Discrete Mathematics,43(2013),15-20.
  51. Granovsky, B.L.,Stark, D., Developments in the Khintchine-Meinardus method for asymptotic enumeration, Electronic Journal of Combinatorics,22,4, (2015),4-32.