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Wigner Measures and Coherent Quantum Control

期刊: PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2021; 313 (1)

We introduce Wigner measures for infinite-dimensional open quantum systems; important examples of such systems are encountered in quantum control theo......

Criterion of Subnormality in a Finite Group: Reduction to Elementary Binary Partitions

期刊: PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2021; 313 (SUPPL 1)

Wielandt's criterion for the subnormality of a subgroup of a finite group is developed. For a set pi = {p(1), p(2), ..., p(n)} and a partition s = {{p......

Recent Results in Several Complex Variables and Complex Geometry

期刊: PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2020; 311 (1)

We first recall the background and contents of our recent solutions of the optimal L-2 extension problem and Demailly's strong openness conjecture on ......

Quantum Anomalies via Differential Properties of Lebesgue-Feynman Generalized Measures

期刊: PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2020; 310 (1)

We address the problem concerning the origin of quantum anomalies, which has been the source of disagreement in the literature. Our approach is novel ......

Density of Roots of the Yamada Polynomial of Spatial Graphs

期刊: PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2019; 305 (1)

We recall the construction and survey the properties of the Yamada polynomial of spatial graphs and present formulas for the Yamada polynomial of some......

JIF:0.7

Roles of Plurisubharmonic Functions

期刊: PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2019; 306 (1)

We recall the basics of multiplier ideal sheaves and formulate our recent solution of Demailly's strong openness conjecture on multiplier ideal sheave......

JIF:0.7

Calabi-Yau Hypersurfaces and SU-Bordism

期刊: PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2018; 302 (1)

V. V. Batyrev constructed a family of Calabi-Yau hypersurfaces dual to the first Chern class in toric Fano varieties. Using this construction, we intr......

JIF:0.7

On some mean values for the divisor function and the Riemann zeta-function

期刊: PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2017; 296 (1)

Let Delta(x) and E(x) denote respectively the error terms in the summatory formula for the divisor function and in the mean square formula for zeta(s)......

JIF:0.62

Haas Molnar Continued Fractions and Metric Diophantine Approximation

期刊: PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2017; 299 (1)

Haas-Molnar maps are a family of maps of the unit interval introduced by A. Haas and D. Molnar. They include the regular continued fraction map and A.......

JIF:0.62

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