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Peeling random planar maps = École d'Été de Probabilités de Saint-Flour XLIX - 2019 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Peeling random planar maps/ by Nicolas Curien.
其他題名:	École d'Été de Probabilités de Saint-Flour XLIX - 2019 /
作者:	Curien, Nicolas.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xviii, 286 p. :illustrations (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Stochastic Processes. -
電子資源:	https://doi.org/10.1007/978-3-031-36854-7
ISBN:	9783031368547

Peeling random planar maps = École d'Été de Probabilités de Saint-Flour XLIX - 2019 /
Curien, Nicolas.

Peeling random planar mapsÉcole d'Été de Probabilités de Saint-Flour XLIX - 2019 /[electronic resource] :by Nicolas Curien. - Cham :Springer Nature Switzerland :2023. - xviii, 286 p. :illustrations (some col.), digital ;24 cm. - Lecture notes in mathematics,v. 23351617-9692 ;. - École d'Été de Probabilités de Saint-Flour..

These Lecture Notes provide an introduction to the study of those discrete surfaces which are obtained by randomly gluing polygons along their sides in a plane. The focus is on the geometry of such random planar maps (diameter, volume growth, scaling and local limits..) as well as the behavior of statistical mechanics models on them (percolation, simple random walks, self-avoiding random walks..) A "Markovian" approach is adopted to explore these random discrete surfaces, which is then related to the analogous one-dimensional random walk processes. This technique, known as "peeling exploration" in the literature, can be seen as a generalization of the well-known coding processes for random trees (e.g. breadth first or depth first search) It is revealed that different types of Markovian explorations can yield different types of information about a surface. Based on an École d'Été de Probabilités de Saint-Flour course delivered by the author in 2019, the book is aimed at PhD students and researchers interested in graph theory, combinatorial probability and geometry. Featuring open problems and a wealth of interesting figures, it is the first book to be published on the theory of random planar maps.

ISBN: 9783031368547

Standard No.: 10.1007/978-3-031-36854-7doiSubjects--Topical Terms:

1098688
Stochastic Processes.

LC Class. No.: QA273 / .C87 2023

Dewey Class. No.: 519.2

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