2024/2025
Научно-исследовательский семинар "Сложные сети 1"
Статус:
Дисциплина общефакультетского пула
Кто читает:
Факультет математики
Где читается:
Факультет математики
Когда читается:
1, 2 модуль
Охват аудитории:
для всех кампусов НИУ ВШЭ
Преподаватели:
Самойленко Иван Александрович
Язык:
английский
Кредиты:
3
Course Syllabus
Abstract
Complex network theory is a vast science that studies graphs and their evolution. Complexnetwork models are used in many areas of human knowledge (economics, biology, sociology, etc.). In thiscourse, we plan to discuss the main existing methods for analyzing the static and dynamic properties of complexnetworks. At the beginning of the course, we will discuss the main definitions and models that are used in thestudy of complex networks, then selected subjects from various areas of this science will be analyzed: fromstatic properties to collective dynamics.PREREQUISITES:The prerequisites include a minimum understanding of courses in probability theory, math-ematical analysis, linear algebra, and differential equations. Although the necessary concepts will be intro-duced as the story progresses, mastering these disciplines will greatly simplify the understanding of what ishappening
Course Contents
- Introduction. Basic structures of complex networks and their definitions (vertex degree, centrality, motives, community structures, graph spectrum)
- Topological properties of real networks
- Basic models of complex networks
- Static and dynamic stability
- Propagation processes in networks
- Synchronization and collective dynamics, the main function of sustainability
- Algorithms for searching for community structures
- Any other topics at the request of the listeners that we have time to touch on
Interim Assessment
- 2024/2025 2nd moduleEach student enrolled in the seminar must make a report that will form an assessment for completing this course.
