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Functional integrals and applications in quantum theory and statistical mechanics
February 9–December 28, 2021, online via Zoom, Moscow

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watching recorded videos, to register at https://forms.gle/q2DqdJC3myQkUPqo8.


The base of the theory of measures on infinitely dimensional topological vector spaces is considered. The differential calculus for the measures on locally convex spaces is introduced. The above technique is used to obtain the presentation of solution of initial boundary value problem for an evolutionary equation by means of Feynman-Kac formulas. The approximations for a such solution by means of Feynman formulas are obtained. The properties of a measure to be absolutely continuous or singular with respect to another measure are considered. In particular, the invariance or quasi-invariance of a measure with respect to a group of transformations are studied. In addition, we consider the integration of a function with respect to finite additive measure and we study the properties of vector valued functions which is integrable by Pettis of by Bochner with respect to such a measure.


Fall Semester Schedule of 2021/2022:

Time: Tuesday 16:25 – 17:50

First lecture: September 7


Financial support. The course is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2019-1614).

RSS: Forthcoming seminars

Seminar organizers
Sakbaev Vsevolod Zhanovich
Smolyanov Oleg Georgievich

Institutions
Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center


Functional integrals and applications in quantum theory and statistical mechanics, Moscow, February 9–December 28, 2021

November 30, 2021 (Tue)
1. Lecture 13. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
November 30, 2021 16:25, Moscow, online via Zoom

November 23, 2021 (Tue)
2. Lecture 12. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
November 23, 2021 16:25, Moscow, online via Zoom
  

November 16, 2021 (Tue)
3. Lecture 11. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
November 16, 2021 16:25, Moscow, online via Zoom
  

November 9, 2021 (Tue)
4. Lecture 10. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
November 9, 2021 16:25, Moscow, online via Zoom
  

November 2, 2021 (Tue)
5. Lecture 9. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
November 2, 2021 16:25, Moscow, online via Zoom
  

October 26, 2021 (Tue)
6. Lecture 8. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
October 26, 2021 16:25, Moscow, online via Zoom
  

October 19, 2021 (Tue)
7. Lecture 7. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
October 19, 2021 16:25, Moscow, online via Zoom
  

October 12, 2021 (Tue)
8. Lecture 6. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
October 12, 2021 16:25, Moscow, online via Zoom
  

October 5, 2021 (Tue)
9. Lecture 5. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
October 5, 2021 16:25, Moscow, online via Zoom
  

September 28, 2021 (Tue)
10. Lecture 4. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
September 28, 2021 16:25, Moscow, online via Zoom
  

September 21, 2021 (Tue)
11. Lecture 3. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
September 21, 2021 16:25, Moscow, online via Zoom
  

September 14, 2021 (Tue)
12. Lecture 2. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
September 14, 2021 16:25, Moscow, online via Zoom
  

September 7, 2021 (Tue)
13. Lecture 1. Functional integrals and applications in quantum theory and statistical mechanics II
O. G. Smolyanov, V. Zh. Sakbaev
September 7, 2021 16:25, Moscow, online via Zoom
  

May 25, 2021 (Tue)
14. Lecture 14. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
May 25, 2021 16:35, Moscow, online via Zoom

May 18, 2021 (Tue)
15. Lecture 13. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
May 18, 2021 16:35, Moscow, online via Zoom

May 11, 2021 (Tue)
16. Lecture 12. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
May 11, 2021 16:35, Moscow, online via Zoom

April 27, 2021 (Tue)
17. Lecture 11. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
April 27, 2021 16:35, Moscow, online via Zoom

April 20, 2021 (Tue)
18. Lecture 10. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
April 20, 2021 16:35, Moscow, online via Zoom

April 13, 2021 (Tue)
19. Lecture 9. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
April 13, 2021 16:35, Moscow, online via Zoom

April 6, 2021 (Tue)
20. Lecture 8. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
April 6, 2021 16:35, Moscow, online via Zoom

March 30, 2021 (Tue)
21. Lecture 7. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
March 30, 2021 16:35, Moscow, online via Zoom

March 23, 2021 (Tue)
22. Lecture 6. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
March 23, 2021 16:35, Moscow, online via Zoom

March 16, 2021 (Tue)
23. Lecture 5. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
March 16, 2021 16:35, Moscow, online via Zoom

March 9, 2021 (Tue)
24. Lecture 4. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
March 9, 2021 16:35, Moscow, online via Zoom

March 2, 2021 (Tue)
25. Lecture 3. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
March 2, 2021 16:35, Moscow, online via Zoom

February 16, 2021 (Tue)
26. Lecture 2. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
February 16, 2021 16:35, Moscow, online via Zoom

February 9, 2021 (Tue)
27. Lecture 1. Functional integrals and applications in quantum theory and statistical mechanics
O. G. Smolyanov, V. Zh. Sakbaev
February 9, 2021 16:35, Moscow, online via Zoom
 
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