Two-Dimensional Random Walk: From Path Counting to Random Interlacements free ebook download.

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Two-Dimensional Random Walk: From Path Counting to Random Interlacements free ebook download

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Author(s):	Two-Dimensional Random Walk: From Path Counting to Random Interlacements

Date:	2021	Format:	PDF	Language:	English	ISBN/ASIN:	1108472451
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	12/16/2020 3:47:12 PM

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"The main subject of this introductory book is simple random walk on the integer lattice, with special attention to the two-dimensional case. This fascinating mathematical object is the point of departure for an intuitive and richly illustrated tour of related topics at the active edge of research. The book starts with three different proofs of the recurrence of the two-dimensional walk, via direct combinatorial arguments, electrical networks, and Lyapunov functions. Then, after reviewing some relevant potential-theoretic tools, the reader is guided toward the relatively new topic of random interlacements  which can be viewed as a "canonical soup" of nearest-neighbour loops through infinity  again with emphasis on two dimensions. On the way, readers will visit conditioned simple random walks  which are the "noodles" in the soup  and also discover how Poisson processes of infinite objects are constructed and review the recently introduced method of soft local times. Each chapter ends with many exercises, making the book suitable for courses and for independent study"

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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
2918949	Book	https://tezfiles.com/file/5fcf9af3cbb94...		2.20	gestalt

Tags: Counting Interlacements Path Random Two-Dimensional Walk

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