PROGRAM

 

    of the conference “Analytic methods in Number Theory,

 

Probability and Statistics” dedicated to the 90th anniversary of 

 

                           academician Yu.V.Linnik’s birth

 

 

 

Sunday, April, 24    15.00 – 18.00    Registration in Euler Institute, Pesochnaya nab., 10

 

 

 Monday, April, 25    Plenary lectures. POMI, Fontanka, 27, 1st floor

 

                                                                   Chairman  Yu. Nesterenko

 

9.00 – 11.00  Registration

 

          11.00 – 11.50 Ibragimov I. ( St.Petersburg ).  Linnik ‘s work in Number Theory,

          Probability and Statistics.

 

                 11.50 – 12.30  Coffee Break        

 

          12.30 – 13.20   Iwaniec H. (Rutgers University).  Sieve and prime numbers.

 

          13.30 – 14.20  Deheuvels P. (Paris). Limit laws for sums of logarithms of spacings and

           the Riemann zeta function.

 

                    Lunch  14.20  – 16

                                                                                Chairman F. Goetze

 

          16.00 – 16.50   McKean H.  (New York),  Shepp  L. ( Rutgers University).  The

          advantages of Capitalism vs. Socialism  depends  on the criterion

          17.00 – 17.50    Andrianov A. ( St.Petersburg). On zeta functions of bilinear forms.

        

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                                  19.00  Welcome Party  (POMI)

 

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                    Section of Probability and Statistics

 

 

Tuesday,  April, 26  Euler Institute, Pesochnaya nab.,10

 

Tribute to Linnik.  Tuesday morning:  7 talks  

 

             9.30 – 10.00. Klebanov L. (Prague). Characterizations of distributions and statistical

           tests.

           10.00 – 10.30.  Feldman G., Mironyuk М. (Khar’kov). Independent linear statistics on

           the two-dimensional torus.

 

      10.30 – 11.00.  Rukhin A. (Baltimore). Statistical aspects of linkage analysis in

           metrology: incomplete sufficient statistics and Behrens-Fisher problem.

 

          11.00 – 11.30.  Zinger A. ( St.Petersburg).  Оn multivariate versions. 

           

    11.30 - 12.00  Coffee break

           10.30 – 11.00. Goetze F. ( Bielefeld). Characterization results for linear forms and

 arithmetics of free сonvolutions.          

           12.30 – 13.00.  Tyurin Yu. ( Moscow). Testing approximate statistical hypotheses

           13.00 – 13.30.  Bakirov N. ( Ufa), Szekely G. ( Bowling Green). Student’s t-test

            for Gaussian  scale mixtures.

 

               13.30 – 15.00    Lunch   

 

            Large deviations.  Tuesday afternoon  4 talks 

 

       15.00 – 15.30. Мogulskii A., Arkashov N., and  Borisov I.  ( Novosibirsk)  Large

            deviation  principle for partial sum processes of moving averages.

       15.30 – 16.00 Zani M. ( Paris ). Large deviations for sample paths  of Gaussian

            processes quadratic forms.

 

                 16.00 – 16.30  Coffee break

 

           16.30 – 17.00.  Sakhanenko A. (Khanty-Mansiisk). On unified approach to CLT for

           large deviations

           17.00 – 17.30  Borovskikh Yu. ( St.Petersburg), Weber  N. ( Sydney).  Large deviation

           results for  $U$-statistics.

 

Wednesday, April, 27,    Fontanka, 27  , 1st floor   

 

           Limit theorems.  Wednesday morning :   6 talks

9.30 – 10.00  Bulinski A., Shashkin A. ( Moscow). Invariance principles for weakly

dependent  random fields.

10.00 – 10.30. Doukhan P.( Paris).  Weak dependence of stationary time series

and applications.

10.30 – 11.00. Dehling  G. (Bochum). Limit theorems for  dependent U-statistics.

11.00 – 11.30  Frolov A., Martikainen A. ( St.Petersburg). Strong laws for maximal

increments of sums over increasing runs.

 

                 11.30 – 12.00  Coffee break

 

12.00 – 12.30. Csorgo S. ( Szeged). Best merging approximations to St.Petersburg

 gamblers.

           12.30 – 13.00. Zaporozhets  D. ( St.Petersburg). On a random polynomial with curious

           distribution of roots

 

                                       13.00 -  14.30   Lunch

 

 

           14.30  - 18.30  Visit to the tomb of Yu.V.Linnik, cemetery of Komarovo

 

 

                              18.30 – 19.00  Coffee break ( POMI, 1st floor)

 

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        19.00   Joint  meeting with St.Petersburg Mathematical Society ( POMI, Fontanka 27)

 

                                         Reminiscences on Yu.V.Linnik

 

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Thursday,    April, 28    Euler Institute, Pesochnaya nab.,10

 

 

               Random processes. Thursday morning: 7 talks

 

             9.30 – 10.00 Gordin M. ( St.Petersburg). Poisson limit for toral automorphisms driven

           by a continued fraction.

            10.00 – 10.30. Vershik A. ( St.Petersburg). What does generic Markov process

           look like?

 

10.30 – 11.00. Borodin A. ( St.Petersburg). Distribution of special nonhomogeneous

 functionals.

             11.00 – 11.30. Sudakov V. ( St.Petersburg). Phenomenon of concentration for Gaussian

            sojourn times.

          

                    11.30 – 12.00  Coffee break

 

           12.00 – 12.30  Nazarov  A., Nikitin Ya. (St.Petersburg) L_2-small ball asymptotics for

            Gaussian random functions: a survey.

 

      12.30 – 13.00  Peccati  G. (Paris).  Stable convergence on Wiener space, the principle of

           conditioning and martingale theory. 

            13.00 – 13.30 Lifshits, M., ( St.Petersburg), Linde W. ( Jena), and Shi Z. ( Paris). Small

            deviations of fractional processes in L_q-spaces with respect to fractal measures

 

   

                     13.30 – 15.00    Lunch

                                         

          Statistical procedures and distributions. Thursday afternoon: 4 talks

 

            15.00 - 15.30 Regazzini  E. (Pavia). Functionals of a Brownian bridge connected

           with minimum Kantorovich distance estimators. 

15.30  - 16.00  Hallin M. ( Brussels). Optimal Rank-Based Tests for Sphericity.

 

                              16.00 – 16.30  Coffee break   

 

           16.30 – 17.00 Nevzorov V. (St. Petersburg). Some recent results on order statistics

           and  record values.

           17.00 – 17.30  Bening V., Korolev V. (Moscow).  On the Student distribution as an

            alternative to the normal law in some asymptotic problems of mathematical statistics.

 

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                         19.00.   Conference Dinner (presumably close to Euler Institute).

 

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Friday,   April, 29 ,    Fontanka, 27, 1st floor   

 

            Various aspects of Statistics  – Friday morning: 7 talks

 

            9.30 – 10.00  Paulauskas  V.  (Vilnius). On the growth of variance of multi-indexed

           autoregression  process with unit root.

           10.00 – 10.30  Valkeila  E. (Helsinki). L^q differentiability of filtered experiments.

           10.30 – 11.00   Denker M. ( Goettingen). Estimation of Hausdorff dimension.

           11.00 – 11.30  Muliere P.(Milan). Randomly reinforced urn models and

            sequential design.

 

                     11.30 -12.00  Coffee break

 

           12.00 – 12.30  Tikhov M.S. ( Nizhny Novgorod).  Asymptotic unbiased distribution

            function estimators in dependence dose-effect.

           12.30 – 13.00   Мakagon A. (Hampton University.) Periodically correlated processes and

            induced  group representations.

           13.00 – 13.30  Sofronov G. ( Ioshkar-Ola). Asymptotically d-optimal rules of a change-

            point detection.

 

                           13.30 – 15.00    Lunch

 

                Miscellaneous. Friday afternoon  4 talks.

 

      15.00 – 15.30 Harremoes P. (Copenhagen), Ruzankin P. ( Novosibirsk). Rate of

           сonvergence to Poisson law in terms of information divergence.

           15.30 – 16.00  Korolev V., Shevtsova I. (Moscow). On the accuracy of the normal

           approximation to  the distributions of sums of independent random variables.

 

                                   16.00 – 16.30  Coffee break     

 

             16.30 – 17.00  Nikolaev M. (Ioshkar-Ola). The theory of optimal multiple stopping rules.

           17.00 – 17.30 Virchenko Yu., Vitokhina N. ( Belgorod).  Sequential approximations of

           the  calculation of  Mandel distribution in quantum statistics.

 

                                                Closure of the Conference

 

Saturday, April 30

 

          8.30 -  13.30   Excursion to Tsar’s palace with Amber chamber in Tsarskoe selo ( details

          to be precised)