Probability Techniques in Analysis and Algorithms on Networks

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Probability Techniques in Analysis and Algorithms on Networks
(November 24–29, 2025, St. Petersburg)

The conference aims to showcase recent advancements in the application of probability theory methods within complex and harmonic analysis, approximation theory, networks, and large data set analysis. The topics addressed by the conference include:
- random matrix theory;
- orthogonal polynomials;
- approximation in functional spaces;
- theory of determinant processes;
- interpolation and sampling;
- greedy algorithms;
- graph search algorithms;
- network analysis algorithms and applications.

The school-conference "Data mining on networks, graphs, and approximation" will be held as one of the sections: https://nnov.hse.ru/latna/conferences/spb2025/

Program

Abstracts

Program Committee
Baranov Anton Dmitrievich
Belov Yurii Sergeevich
Kalyagin Valerii Aleksandrovich
Lysov Vladimir Genrikhovich

Organizing Committee
Lysov Vladimir Genrikhovich
Medvedev Timur Vladislavovich
Mozolyako Pavel Alexandrovich
Rossomakhina Mariya Valer'evna
Yudin Gleb Aleksandrovich
Zagorodniuk Alina Anatol'evna


*Probability Techniques in Analysis and Algorithms on Networks, St. Petersburg, November 24–29, 2025*

	*November 24, 2025 (Mon)*
	*Plenary talks*

1.	Ensembles of random matrices and applications to Brownian bridges, Laplacian growth A. I. Aptekarev November 24, 2025 10:00–10:45, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


2.	Liouville type phenomenon for the Klein-Gordon equation H. Hedenmalm November 24, 2025 10:55–11:40, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


3.	On inequalities between different asymptotic characteristics of function classes V. N. Temlyakov November 24, 2025 12:10–12:55, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


4.	On the convergence conditions of a weak greedy algorithm A. P. Solodov November 24, 2025 13:05–13:40, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


5.	On iterations of the Cauchy-Fantappié transform of analytic functionals S. G. Myslivets November 24, 2025 15:10–15:45, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


6.	On the precise form of the inverse Markov inequality for convex sets M. A. Komarov November 24, 2025 15:50–16:25, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


7.	Analysis of photon-counting probability distributions attached to Landau levels on the Poincaré disk Z. Mouyan November 24, 2025 16:50–17:25, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


	*Tutorial*

8.	Network Analysis and Data Analytics in Neuro-Science P. M. Pardalos November 24, 2025 17:35–18:20, Tutorial, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


	*November 25, 2025 (Tue)*
	*Plenary talks*

9.	On topological properties of graphene A. G. Sergeev November 25, 2025 10:00–10:45, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


10.	Optimal stability estimates for certain convex functionals on weighted Bergman spaces with applications P. Melentijević November 25, 2025 10:55–11:40, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


11.	Quadrature rules related to orthogonality on the semicircle with respect to the complex-valued non-Hermitian inner product M. Stanić November 25, 2025 12:10–12:55, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


12.	Generalization of the Julia–Carathéodory theorem and its applications O. S. Kudryavtseva November 25, 2025 13:05–13:40, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


	*Section 1*

13.	The Polyak-Lojasiewicz condition for a Lipschitz differentiable function on a smooth manifold M. V. Balashov November 25, 2025 15:10–15:45, Section 1, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


14.	Weakly compact and Deutsch compact sets in approximation theory. Application to exponential sums A. R. Alimov November 25, 2025 15:50–16:25, Section 1, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


15.	De Branges spaces and local description of submodules of entire functions N. F. Abuzyarova November 25, 2025 16:50–17:25, Section 1, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b


	*Section 2*

16.	Hermite–Padé polynomials in the model case A. V. Komlov November 25, 2025 15:10–15:45, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b


17.	Generalized Euclidean algorithm and criterion of total non-negativity of generalized Hurwitz matrices O. Y. Kushel November 25, 2025 15:50–16:25, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b


18.	A Riemann-Hilbert problem for Jacobi-Pineiro orthogonal polynomials V. Shukla November 25, 2025 16:50–17:25, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b


	*Tutorial*

19.	On the Vertices, Facets, and Graph Diameter of Delta-Modular Polyhedra D. V. Gribanov November 25, 2025 17:35–18:20, Tutorial, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


	*November 26, 2025 (Wed)*
	*Plenary talks*

20.	Borel transformations of random fields A. I. Bufetov November 26, 2025 14:45–15:30, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


21.	On the value-distribution theorems for a class of $L$-functions I. S. Rezvyakova November 26, 2025 15:40–16:25, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


22.	Distribution of zeros of entire and holomorphic functions on the unit disk with restrictions on their growth from above B. N. Khabibullin November 26, 2025 16:50–17:35, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


23.	On generalised Gaussian quadratures A. V. Dyachenko November 26, 2025 17:40–18:15, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


	*November 27, 2025 (Thu)*

24.	Theory and applications of tensor decompositions E. E. Tyrtyshnikov November 27, 2025 10:00–10:45, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


25.	On Recent Advances in Graph-based Approximate Vector Search D. S. Malyshev November 27, 2025 10:55–11:40, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


26.	Models of Bipartite Graph Evolution S. P. Sidorov November 27, 2025 12:10–12:55, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


27.	Quantum Trace and Dehn filling M. Romo November 27, 2025 13:05–13:40, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


	*Section 1*

28.	Information Diffusion on Graphs with Exogenous News Flow V. A. Balash November 27, 2025 15:10–15:45, Section 1, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


29.	Building a Logistics Network with Non-linear Edge Costs and Transfers  A. A. Ponomarenko November 27, 2025 15:50–16:25, Section 1, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


30.	Ricci flow approaches to community detection on graphs K. S. Sorokin November 27, 2025 16:50–17:25, Section 1, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


31.	A discussion about the mathematics underlying artificial neural networks (ANN) and some examples of ANNs applications A. Lizunov November 27, 2025 17:30–18:05, Section 1, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


	*Section 2*

32.	On Bernstein- and Markov-type inequalities on compact sets of the unit circle S. I. Kalmykov November 27, 2025 15:10–15:45, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b


33.	Poncelet's Closure Theorem and compositions of finite Blashke Products K. A. Lenskiy November 27, 2025 15:50–16:25, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b


34.	The concept of support and its application to the classification of function spaces L. V. Genze November 27, 2025 16:50–17:25, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


35.	Hexagon titlings with $m\times m$ periodic weightings E. A. Lopatin November 27, 2025 17:30–18:05, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b


	*November 28, 2025 (Fri)*
	*Plenary talks*

36.	Kirchhoff index for circulant foliations of graphs A. D. Mednykh November 28, 2025 10:00–10:45, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


37.	Artificial intelligence methods for Cayley graphs E. V. Konstantinova November 28, 2025 10:55–11:40, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


38.	From Nodes to Networks: Statistical Perspectives on Graph Representation Learning M. Guarracino November 28, 2025 12:10–12:55, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


39.	Paley-Wiener-Schwartz type theorems for function spaces on an unbounded closed convex set and their applications I. Kh. Musin November 28, 2025 13:05–13:40, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


	*Section 1*

40.	Significant conclusions on the dynamics of the market graph P. A. Koldanov November 28, 2025 15:10–15:45, Section 1, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


41.	Uncertainty of Tensor Graphical Model Selection I. D. Kostylev November 28, 2025 15:50–16:25, Section 1, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


42.	Diagonal Frobenius Number via Gomory Relaxation and Discrepancy D. V. Gribanov November 28, 2025 16:50–17:25, Section 1, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


43.	Conflict-Minimizing Gradient Selection for Multi-Task Learning G. M. Neshchetkin November 28, 2025 17:30–18:05, Section 1, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


	*Section 2*

44.	An Interpolating Function for Power Series Coefficients and the Mellin Transform of the Sum A. J. Mkrtchyan November 28, 2025 15:10–15:45, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b


45.	Diagonals of Laurent series of rational functions and their integral representations D. Yu. Pochekutov November 28, 2025 15:50–16:25, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b


46.	Universal frame set for rational functions A. V. Semenov November 28, 2025 16:50–17:25, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b


47.	On $L$-special domains with algebraic boundaries M. A. Borovikov November 28, 2025 17:30–18:05, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b


	*November 29, 2025 (Sat)*
	*Plenary talks*

48.	Approximation by simplest fractions and simplest bianalytic fractions K. Yu. Fedorovskiy November 29, 2025 10:00–10:45, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


49.	On constructing probabilistic operator-valued measures from frames in a Hilbert space G. G. Amosov November 29, 2025 10:55–11:40, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


50.	State transfer with sufficient fidelity A. S. Zhedanov November 29, 2025 12:10–12:55, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201


51.	On a formula for characteristic determinant of a boundary value problem for $n \times n$ Dirac type system M. M. Malamud November 29, 2025 13:05–13:50, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201

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