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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/

The conference was held with the financial support of the Ministry of Science and Higher Education of the Russian Federation in the framework of a scientific project under agreement No 075-15-2025-013 by St. Petersburg State University.

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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