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Regular version of the site
Article
Evolution and Statistical Analysis of Internal Random Wave Fields within the Benjamin–Ono Equation

Flamarion M., Pelinovsky E.

Journal of Marine Science and Engineering. 2023. Vol. 11. No. 10.

Book chapter
Approximate Solution of Inverse Problems of Gravity Exploration on Fractals

Boykov I. V., Potapov A. A., Alexander E. Rassadin et al.

In bk.: 14th Chaotic Modeling and Simulation International Conference. Springer, 2022. Ch. 8. P. 97-108.

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.