Description: Bessel Processes, SchrammLoewner Evolution, and the Dyson Model by Makoto Katori Estimated delivery 3-12 business days Format Paperback Condition Brand New Description The SLE and Dysons BM model may be considered as "children" of the Bessel process with parameter D, BES(D), and the SLE and Dysons BM model as "grandchildren" of BM. Publisher Description The purpose of this book is to introduce two recent topics in mathematical physics and probability theory: the Schramm–Loewner evolution (SLE) and interacting particle systems related to random matrix theory. A typical example of the latter systems is Dysons Brownian motion (BM) model. The SLE and Dysons BM model may be considered as "children" of the Bessel process with parameter D, BES(D), and the SLE and Dysons BM model as "grandchildren" of BM. In Chap. 1 the parenthood of BM in diffusion processes is clarified and BES(D) is defined for any D ≥ 1. Dependence of the BES(D) path on its initial value is represented by the Bessel flow. In Chap. 2 SLE is introduced as a complexification of BES(D). Rich mathematics and physics involved in SLE are due to the nontrivial dependence of the Bessel flow on D. From a result for the Bessel flow, Cardys formula in Carlesons form is derived for SLE. In Chap. 3 Dysons BM model with parameter β is introduced as a multivariate extension of BES(D) with the relation D = β + 1. The book concentrates on the case where β = 2 and calls this case simply the Dyson model.The Dyson model inherits the two aspects of BES(3); hence it has very strong solvability. That is, the process is proved to be determinantal in the sense that all spatio-temporal correlation functions are given by determinants, and all of them are controlled by a single function called the correlation kernel. From the determinantal structure of the Dyson model, the Tracy–Widom distribution is derived. Author Biography Akatsuka-University of California, Los Angeles Details ISBN 9811002746 ISBN-13 9789811002748 Title Bessel Processes, SchrammLoewner Evolution, and the Dyson Model Author Makoto Katori Format Paperback Year 2016 Pages 141 Edition 1st Publisher Springer Verlag, Singapore GE_Item_ID:140357502; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys
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ISBN-13: 9789811002748
Book Title: Bessel Processes, SchrammLoewner Evolution, and the Dyson Model
Number of Pages: X, 141 Pages
Publication Name: Bessel Process, Schramm-Loewner Evolution, and the Dyson Model
Language: English
Publisher: Springer
Publication Year: 2016
Subject: Probability & Statistics / General, System Theory, Physics / Mathematical & Computational
Item Weight: 85 Oz
Type: Textbook
Subject Area: Mathematics, Science
Author: Makoto Katori
Item Length: 9.3 in
Item Width: 6.1 in
Series: Springerbriefs in Mathematical Physics Ser.
Format: Trade Paperback
