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Probability techniques in analysis lab: activities

Mini-conference  «Complex and Harmonic Analysis and its applications».

This conference is devoted to a group of modern problems in complex and harmonic analysis, and their applications to the signal analysis and Fourier theory.

Conference Probabilistic Techniques in Analysis: Spaces of Holomorphic Functions

The aim of this conference is to discuss recent achievements in two trending and rapidly developing topics. The first one concerns new approaches to classical spaces of analytic functions in the disc, plane, polydisc, and other domains. Particular attention is given to Hardy, Dirichlet, and Fock spaces. The talks are grouped around modern developments of  different tools and techniques for analyzing these spaces — combination of analytic and probabilistic methods, multiparametric potential theory, and discrete models of corresponding harmonic and Sobolev spaces.

The second group of topics revolves around random processes and quantum computing, and their mutual connections. More specifically, Gaussian processes are being realized as an instrument in machine learning to estimate uncertainty. On the other hand, quantum computing has many uses for applications in machine learning, for example, to boost the computing power or sample complicated probabilistic distributions.

This event is designed to be a forum where young researchers and experts in respective fields present recent developments and discuss problems arising at the intersection of disciplines.