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)