Two-Dimensional Random Walk: From Path Counting to Random Interlacements: Institute of Mathematical Statistics Textbooks
Autor Serguei Popoven Limba Engleză Paperback – 17 mar 2021
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Specificații
ISBN-13: 9781108459693
ISBN-10: 1108459692
Pagini: 200
Dimensiuni: 151 x 228 x 12 mm
Greutate: 0.3 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Institute of Mathematical Statistics Textbooks
Locul publicării:Cambridge, United Kingdom
ISBN-10: 1108459692
Pagini: 200
Dimensiuni: 151 x 228 x 12 mm
Greutate: 0.3 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Institute of Mathematical Statistics Textbooks
Locul publicării:Cambridge, United Kingdom
Cuprins
1. Introduction; 2. Recurrence of Two-Dimensional SRW; 3. Some Potential Theory for Simple Random Walks; 4. SRW Conditioned on not Hitting the Origin; 5. Intermezzo: Soft Local Times and Poisson Processes of Objects; 6. Random Interlacements.
Recenzii
'An excellent and inspiring introduction to simple random walk and random interlacements, in transient and recurrent cases. With its careful and original selection of topics, the reader will soon grasp the general picture and main ideas though to quite advanced material. Each chapter has a great selection of exercises with hints and solutions. This book is primarily designed for self-study, but it can also be used for a graduate course on Markov chains or Poisson processes.' Francis Comets, Université de Paris
'… a well-written summary of the subject … Highly recommended.' M. Bona, Choice Connect
'… a well-written summary of the subject … Highly recommended.' M. Bona, Choice Connect
Descriere
A visual, intuitive introduction in the form of a tour with side-quests, using direct probabilistic insight rather than technical tools.