• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Book chapter
  • Случайные блуждания и электрические цепи
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2028
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
September 11, 2026
How to Assess Students Knowledge in the Age of AI
A researcher at HSE University has proposed a flowchart to help lecturers decide how to assess students who use artificial intelligence. It shows where the use of AI should be restricted and where it can be incorporated into the learning process. The article has been published in IT Professional.
September 9, 2026
‘Balkan Hospitality Opens Doors: Studying Dialects on the Verge of Extinction
You cannot study spoken dialects from books. Instead, you need to go to a village, seek out its elders, and earn the trust of local residents before you can record hours of spontaneous stories. This is how Natalia Muravleva, Associate Professor at the Faculty of Humanities, conducts her research. Her internship in Serbia continued her long-standing study of dialects spoken by Macedonian settlers. In this interview, she discusses how diaspora cultural centres help researchers reach informants, why native speakers need to be interviewed only in their own language (otherwise, as she puts it, they may 'break'), and how a single field season helped her finalise her monograph. She also shares warm memories of autumn in Belgrade and of colleagues with whom grammar can be discussed in three languages at once.
September 9, 2026
Scientists Train Neural Network to Generate Process Plans from 3D Models
Researchers at the HSE FCS AI and Digital Science Institute have developed CAD2TechSpec, a framework that converts 3D models of mechanical parts into machining process plans—step-by-step instructions for machine tools. The solution aims to reduce the time required for the design and preparation of technical process documentation in mechanical engineering, aircraft manufacturing, and other high-tech industries. The study findings have been published in PeerJ Computer Science.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Случайные блуждания и электрические цепи

.
Заславский А. А., Skopenkov M., Ustinov A.

 

The chapter is devoted to random walks and electrical networks.

Language: Russian
Keywords: случайные блужданияэлектрические цепиrandom walkselectrical networks

In book

Элементы математики в задачах: через олимпиады и кружки—к профессии
М.: МЦНМО, 2018.
Similar publications
Community detection on simplicial complexes
Ермолаев Е. С., Applied Network Science 2025 Vol. 10 Article 30
Recent advances in complex systems have highlighted the utility of simplicial complexes for modeling higher-order interactions, particularly in biological and physical networks. This study presents enhanced Simplex2Vec, an adaptation of the Simplex2Vec algorithm, to facilitate community detection within such structures. We compare enhanced Simplex2Vec’s efficacy against the Leiden algorithm and Spectral clustering using 7 distinct ...
Added: December 30, 2025
Random walks and electrical circuits
Skopenkov M., Ustinov A., Zaslavsky A., , in: Mathematics via Problems: Part 3: Combinatorics* 3: Combinatorics.: Providence: AMS, 2023.
Added: October 16, 2025
Сопротивление между узлами решетки
Баранов Д. В., Skopenkov M., Ustinov A., Математическое просвещение 2011 № 15 С. 229–230
This collection of problems is based on the project “Random walks and electric circuits” of the XXII Summer Conference of the Tournament of Cities and problem 14.12 from the problem book “Mathematical Enlightenment” (issue 14, p. 274). ...
Added: October 9, 2025
Случайные блуждания и электрические цепи
Skopenkov M., Смыкалов В., Ustinov A., Математическое просвещение 2012 № 16 С. 25–47
The article is devoted to the mathematical theory of electrical networks. ...
Added: October 9, 2025
Сквозь сеть сопротивлений
Ustinov A., Skopenkov M., Пахарев А. А., Математическое просвещение 2014 № 18 С. 33–65
The article presents the mathematical theory of electrical networks. ...
Added: October 9, 2025
Туннельные по Маслову асимптотики и случайные блуждания на решетке с дискретным временем
Danilov V., Михайлова С. О., Математические заметки 2024 Т. 116 № 6 С. 881–897
В этой статье на примере случайных блужданий будет представлен метод решения параболических задач на сетке. Ввиду стохастических свойств случайных блужданий ранее полученные интерполяционные методы решения гиперболических задач (преобразование Фурье, теорема В. А. Котельникова) на сетках неприменимы. В данной статье строится формальная асимптотика фундаментального решения задачи Коши и краевых задач для параболического случайного блуждания по решетке, ...
Added: November 26, 2024
Limit theorems for random walks in the hyperbolic space
Konakov V., Menozzi S., / Series arXiv "math". 2023. No. 2312.06222.
Abstract. We prove central and local limit theorems for random walks on the Poincar´e hyperbolic space of dimension n ě 2. To this end we use the ball model and describe the walk therein through the M¨obius addition and multiplication. This also allows to derive a corresponding law of large numbers. ...
Added: December 12, 2023
Условия надкритичности для ветвящихся блужданий в случайной убивающей среде с единственным центром размножения
Molchanov S., Куценко В. А., Яровая Е. Б., Успехи математических наук 2023 Т. 78 № 5(473) С. 181–182
Условия надкритичности для ветвящихся блужданий в случайной убивающей среде с единственным центром размножения. ...
Added: November 3, 2023
Graph potentials and moduli spaces of rank two bundles on a curve
Galkin S., Belmans P., Mukhopadhyay S., / Series math "arxiv.org". 2020. No. 2009.05568.
We introduce graph potentials, which are Laurent polynomials associated to (colored) trivalent graphs. These graphs encode degenerations of curves to rational curves, and graph potentials encode degenerations of the moduli space of rank 2 bundles with fixed determinant. We show that the birational type of the graph potential only depends on the homotopy type of ...
Added: April 15, 2021
Asymptotic Analysis of Random Walks: Light-Tailed Distributions
Боровков А. А., Cambridge University Press, 2020.
This is a companion book to Asymptotic Analysis of Random Walks: Heavy-Tailed Distributions by A.A. Borovkov and K.A. Borovkov. Its self-contained systematic exposition provides a highly useful resource for academic researchers and professionals interested in applications of probability in statistics, ruin theory, and queuing theory. The large deviation principle for random walks was first established ...
Added: March 30, 2021
Electrical varieties as vertex integrable statistical models
Vassily Gorbounov, Talalaev D., Journal of Physics A: Mathematical and Theoretical 2020 Vol. 53 No. 45 P. 1–28
We propose a new approach to studying electrical networks interpreting the Ohm law as the operator which solves certain Local Yang-Baxter equation. Using this operator and the medial graph of the electrical network we define a vertex integrable statistical model and its boundary partition function. This gives an equivalent description of electrical networks. We show ...
Added: September 9, 2020
Спиновые модели с динамически изменяемой геометрией
Загвоздина К. О., В кн.: Межвузовская научно-техническая конференция студентов, аспирантов и молодых специалистов им. Е.В. Арменского.: М.: МИЭМ НИУ ВШЭ, 2019. С. 46–47.
Данное исследование посвящено задаче определения влияния двух решётчатых моделей конформационного пространства и пространства последовательностей белковых макромолекул (модели Изинга и HP-модели) на геометрические свойства случайных блужданий без самопересечений. Анализ проведён на основе средних квадратов радиуса и радиуса инерции. Максимальная длина последовательности равна 10. ...
Added: October 31, 2019
Частотный анализ электрических цепей: Метод комплексных амплитуд
Shevgunov T., М.: Издательская группа URSS, 2017.
Центральным объектом настоящей книги является метод комплексных амплитуд, позволяющий заменить трудоемкие операции над гармоническими колебаниями на сравнительно простые алгебраические действия, выполняемые над комплексными числами. Метод комплексных амплитуд рассматривается в контексте расчета электрических цепей (линейных инвариантных во времени), токи и напряжения в которых изменяются по гармоническому закону, и последующего анализа полученных результатов. Отдельное внимание в книге уделено задачам расчета ...
Added: April 2, 2019
Polynomial approximation for the number of all possible endpoints of a random walk on a metric graph
Vsevolod Chernyshev, Tolchennikov A. A., Electronic Notes in Discrete Mathematics 2018 Vol. 70 P. 31–35
The asymptotics of the number of possible endpoints of a random walk on a metric graph with incommensurable edge lengths is found. ...
Added: December 10, 2018
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit