2026/2027
Введение в символическую динамику и кодирование
Статус:
Дисциплина общефакультетского пула
Кто читает:
Факультет математики
Где читается:
Факультет математики
Когда читается:
1, 2 модуль
Охват аудитории:
для всех кампусов НИУ ВШЭ
Язык:
английский
Кредиты:
6
Контактные часы:
60
Course Syllabus
Abstract
"A {dynamical system} is a law describing position of an object in terms of its previous positions. Dynamical systems play important roles in Physical Sciences, Biology, Engineering, Economics, and Pure Mathematics. \emph{Symbolic dynamical systems} are the most ``explicit'' ones; their description is based on arrays of symbols --- which makes such systems easy to deal with from viewpoints of combinatorics and computer simulation.
On the other hand, many interesting, ``real-life'', dynamical systems admit symbolic models.
Passing from non-symbolic dynamics to the corresponding symbolic model is known as \emph{coding}. In this course, we will sketch some basics of symbolic dynamics and
demonstrate how these apply to solving interesting problems about billiards, interval (or polygon) exchange maps, hyperbolic torus maps, iterated complex polynomials, etc."