International Scientific Conference
Chernoff Approximations 2025
Offline location in Moscow is cancelled. Offline location in Nizhny Novgorod and online will work as planned.
The international scientific conference Chernoff Approximations 2025 will be held on November 22, 2025. The conference will be held in a hybrid format: participation is possible online, as well as in person in Moscow and Nizhny Novgorod. If you want to organise a space for in-person participation in your city, please let us know and we will add this information to the conference website.
In his PhD thesis defended at Harvard University in 1968, American mathematician Paul Chernoff proposed a method for approximately finding semigroups of operators—a method which now bears his name. Today, Chernoff approximations are a flexible, powerful, and in-demand tool of functional analysis with numerous applications in modern mathematics and mathematical physics. The conference is a place for exchanging opinions and the latest scientific results related to Chernoff approximations.
How to attend the conference online
Please enter the Zoom meeting via the link https://us06web.zoom.us/j/7255178395
The password to this Zoom meeting will be sent to registered participants. To register please write "I need a password" to ivremizov@yandex.ru, k.dragunova13@mail.ru
Thematic sections of the conference:
- Chernoff's theorem, its generalisations and variants
- Chernoff functions in specific cases
- Theoretical applications of Chernoff's theorem
- Practical calculation of Chernoff approximations
- Rate of convergence of Chernoff approximations
- Related questions and open problems
The working languages of the conference are English and Russian.
There is no registration fee.
Please inform the organisers about your participation by November 1 by email: ivremizov@yandex.ru
We invite you, your students, and colleagues to participate as listeners and speakers. Please tell anyone who might be interested about the conference!
First Announcement Letter (PDF, 189 Кб)
SCHEDULE
| Speakers | Timing (UTC+3, Moscow) | Institution | Title | Abstract | | Opening | 08:55-09:00 | | | | | Nikolai Shamarov | 09:00-10:30 | Lomonosov Moscow State University, Moscow Institute of Physics and Technology | Fock--Smolyanov semi-measures quantum evolutions: Remizov--Shelakov and Weyl--Feynman--Chernoff approximations | | | Vasily Kolokoltsov | 10:40-11:20 | HSE University, Lomonosov Moscow State University | Approximation of Markov processes by random walks as the specific class of Chernoff approximation of operator groups | | | Oleg Galkin | 11:30-11:55 | HSE University | High-order Chernoff functions for the second derivative operator | | | Coffee break | 12:00-12:30 | | | | | Sonia Mazzucchi | 12:30-13:00 | Independent Researcher | Chernoff solutions of the heat and the Schrodinger equation in the Heisenberg group | | | Yana Kinderknecht (Butko) | 13:10-13:40 | Independent Researcher | Chernoff approximations for some initial-boundary/external value problems | | | Andrey Utkin | 13:50-14:50 | Steklov Mathematical Institute of Russian Academy of Sciences | Bi-continuous semigroups and questions of their approximation | | | Lunch | 15:00-16:00 | | | | | S. Ivan Trapasso | 16:00-16:30 | Independent Researcher | Revisiting Chernoff-Feynman phase space path integrals with wave packets | | | Alexander Vedenin | 16:40-17:10 | HSE University | Fast converging Chernoff approximations | | | Rustem Kalmetiev | 17:20-17:50 | MIPT, KIAM RAS | When Chernoff Theorem Almost Works: Compactness of Non-Convergent Approximations | | | Alexander Teretenkov | 18:00-18:20 | Steklov Mathematical Institute of Russian Academy of Sciences | Bosonic Sobolev preserving C0-semigroups and Trotter-Suzuki formulae | | | Dinner | 18:30-19:00 | | | | | Ivan Remizov | 19:00-19:20 | HSE, IITP RAS, MSU | Equations that are solved by semigroups and scheme of the proof of the theorem on the rate of convergence | | | Ranjit Singh | 19:30-19:50 | Independent Researcher | Possibility of Application of Chernoff Approximations to Selected Problems in Quantum Optics | | | Boris Volkov | 20:00-20:30 | MIPT, Steklov Mathematical Institute | Levy Laplacian on manifold and heat flows of differential forms | | | Ksenia Katalova (Dragunova) | 20:40-21:00 | HSE University | Concrete examples of the rate of convergence of Chernoff approximations: numerical results for the heat semigroup and open questions on them | | | Closing | 21:00-21:10 | | | | |