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ABOUT RANDOM SPLITTING OF THE PLANEтезисы доклада
- Авторы: Kanel-Belov Alexei, Golafshan Mehdi, Malev Sergey, Yavich Roman
- Сборник: Сборник материалов международной конференции КРОМШ-2020
- Тезисы
- Год издания: 2020
- Место издания: ПОЛИПРИНТ Симферополь
- Первая страница: 294
- Последняя страница: 295
- Аннотация: The problems of investigating random partitions of space is an important class of problems in thetheory of geometric transformations. In the plane case, it is possible to express the distribution of a set of variables associated with random partitioning through an equation in partial derivatives, which in some cases can be reduced to the Ricatti equation. The reason for this is that the difficulty with the fact that parts of the partitioning are described by an unlimited number of parameters, in the plane case is overcome by considering the section line. The idea is that a random polygon is interpreted asan evolution of a segment on a moving line. In this case, we have the work with a finite number of parameters: the area covered, the perimeter, etc., the speed of the vertices (that is, the angles of the straight lines passing through the vertices of the section) and the passed height t (the last parameter is necessary for recalculating the distribution along the secant line to the distribution on the plane). When moving a secant, the direct distribution law does not change, which allows us to write a kinetic equation.
- Добавил в систему: Белов Алексей Яковлевич
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | сборник где статья | TEZISYi-KROMSh-2020.pdf | 22,6 МБ | 4 декабря 2020 [AlexeiBelov] |