Rate of Convergence of Wong–Zakai Approximations for Stochastic Partial Differential Equations

We investigate the rate of convergence of the Wong-Zakai approximations for second-order stochastic PDEs of parabolic type driven by a multi-dimensional Wiener process W. The title of this article in the online version was published incorrectly. The correct title appears above. Springer regrets the error. The online version of the original article can be found at     

Methods for solving some parametric problems of algebra

An error in the previous author’s paper is indicated, and a correct approach to solving the related problem is presented. Bibliography: 1 title. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 334, 2006, p. 232. The online version of the original article can be found at     

Public-key cryptography and invariant theory

We suggest public-key cryptosystems based on groups invariants. We also give an overview of known cryptosystems that involve groups. Bibliography: 33 titles.Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 293, 2002, pp. 26–38.This revised version was published online in April 2005 with a corrected cover date and article title.     

Berezin kernels and maximal degenerate representations associated with Riemannian symmetric spaces of Hermitian type

We introduce the Berezin kernels for Riemannian symmetric spaces of Hermitian type by restricting the maximal degenerate representations of the corresponding noncompactly causal Lie groups. Bibliography: 20 titles.Published in Zapiski Nauchnykh Seminarov POMI, Vol. 292, 2002, pp. 11–21.This revised version was published online in April 2005 with a corrected cover date and article title.     

An example of the interpolation of the standard sequence of measurable partitions with large scaling entropy

Decreasing sequences of partitions have two different invariants: the scaling entropy and the basic invariant. In this note, we construct a number of examples of nonstandard sequences with large scaling entropy and a standard 4-adic subsequence. Bibliography: 8 titles.Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 292, 2002, pp. 5–10.This revised version was published online in April 2005 with a corrected cover date and article title.     

Moduli space of symmetric connections

The action of origin-preserving diffeomorphisms on the space of jets of symmetric connections is considered. The dimensions of the moduli spaces of generic connections are calculated. The Poincaré series of the geometric structure of a connection is constructed and shown to be a rational function. Bibliography: 7 titles.Published in Zapiski Nauchnykh Seminarov POMI, Vol. 292, 2002, pp. 22–39.This revised version was published online in April 2005 with a corrected cover date and article title.     

Erratum to “Tchebotaröv’s extremal problem”

The original version of the article was published in Central European Journal of Mathematics, 2005, 3(4), 591–605. Unfortunately, the original version of this article contains a mistake. We give some corrections to our work. The online version of the original article can be found at     

Hard satisfiable instances for DPLL-type algorithms

We address lower bounds on the time complexity of algorithms solving the propositional satisfiability problem. Namely, we consider two DPLL-type algorithms, enhanced with the unit clause and pure literal heuristics. Exponential lower bounds for solving satisfiability on provably satisfiable formulas are proven. Bibliography: 11 titles.Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 293, 2002, pp. 139–148.This revised version was published online in April 2005 with a corrected cover date and article title.     

Erratum to “Curvature of hyperkähler quotients”

The original version of the article was published in Central European Journal of Mathematics, 2008, 6(2), 191–203, DOI: 10.2478/s11533-008-0026-8. Unfortunately, the original version of this article contains a mistake, which we correct here. The online version of the original article can be found at