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Regular version of the site
Article
Solitary wave interactions with a periodic forcing: the extended Korteweg-de Vries framework

Flamarion M., Pelinovsky E.

Mathematics. 2022. Vol. 10. No. 12.

Book chapter
Monotonicity Criterion of Topological Entropy and Kneading Invariants for Lorenz Families

Малкин М. И., Safonov K.

In bk.: Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021. Долгопрудный, МФТИ, 2021. P. 156-158.

Working paper
Knot as a complete invariant of a Morse-Smale 3-diffeomorphism with four fixed points

Pochinka O., Таланова Е. А., Shubin D.

math. arXiv. Cornell University, 2022

Another session of the Nizhny Novgorod Mathematical Society has occured

On September 26, N. N. Shamarov's talk “Infinite-dimensional pseudo-differential operators for the second quantization method” has been presented.
The purpose of the talk was to discuss the properties of infinite-dimensional pseudodifferential operators (BMPDOs), in particular, to examine the relationship between two new approaches to their determination. One of them relies only on the technique of countable additive measures, but at the same time uses the concept of the Kolmogorov integral. Another approach uses a generalized measure invariant under orthogonal affine transformations on a Hilbert space Q, similar to the Lebesgue measure (which, by virtue of A. Weil’s theorem, does not exist on infinite-dimensional spaces) and called the generalized Lebesgue measure.