In July 2025, the 10th International Conference on Stochastic Modelling (ICSM-10) was held at the Raduga health-sports campus of Don State Technical University (DSTU) in the village of Divnomorskoe, near Gelendzhik, Russia.
Conference website
Programme and Book of Abstracts

The conference, co-organised by leading institutions including the Steklov Mathematical Institute, Moscow State University, AIRI, Southern Federal University, and the Russian Committee of the Bernoulli Society, brought together researchers in probability theory, stochastic processes, and mathematical statistics.

Our head and founder, Anton A. Esin, delivered a talk entitled:
“Teletraffic Capacity in Periodic Microcells: A Continuous-State Model for High-Speed Aggregators”

The presentation introduced a novel stochastic model for analysing signal dynamics and service stability in periodic wireless microcells — a setting highly relevant to modern mobile and vehicular communication systems. The core of the model is a reflected stochastic differential equation that governs the signal level experienced by a mobile user traversing the cell at a constant speed.

A key outcome of the work is an explicit expression for the long-term service capacity, derived from the invariant distribution of the signal-level process. The model provides a rigorous performance criterion for queueing systems operating over wireless links with spatially varying signal quality.

Theorem (Velocity-Aware Signal Dynamics and Teletraffic Stability):
Under suitable assumptions on the signal attenuation profile and reflecting boundaries, the joint process of signal level and intra-cell position admits a unique smooth invariant distribution. This allows for precise characterisation of stationary teletraffic capacity and yields a necessary and sufficient condition for queue stability.

The talk was well received by participants working in stochastic modelling, wireless communications, and applied probability. ICSM-10 also featured contributions on rare event analysis, Markov processes, stochastic geometry, queueing theory, and mathematical finance, reaffirming its status as a premier international forum for research in stochastic systems.