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Regular version of the site
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