MARC details
| 000 -LEADER |
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| fixed length control field |
03429cam a2200409 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
on1389609253 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20241127152807.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
230709t20232023sz a b 001 0 eng d |
| 015 ## - NATIONAL BIBLIOGRAPHY NUMBER |
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| National bibliography number |
GBC3J0472 |
| Source |
bnb |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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| Record control number |
021235255 |
| Source |
Uk |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
303141019X |
| Qualifying information |
(paperback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783031410192 |
| Qualifying information |
(paperback) |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) |
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| OCLC library identifier |
UKMGB |
| System control number |
021235255 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) |
|---|
| OCLC library identifier |
AU@ |
| System control number |
000075540308 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)1389609253 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
YDX |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
YDX |
| Modifying agency |
BDX |
| -- |
UKMGB |
| -- |
XII |
| -- |
OHX |
| -- |
QGJ |
| -- |
OCLCO |
| -- |
WAU |
| -- |
FUG |
| -- |
OCLCO |
| -- |
PAU |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.282 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Uchiyama, Kôhei, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
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| Title |
Potential functions of random walks in Z with infinite variance : |
| Remainder of title |
estimates and applications / |
| Statement of responsibility, etc. |
Kôhei Uchiyama. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Cham, Switzerland : |
| Name of producer, publisher, distributor, manufacturer |
Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2023] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2023 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
ix, 276 pages ; |
| Dimensions |
24 cm. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
unmediated |
| Media type code |
n |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
volume |
| Carrier type code |
nc |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Lecture notes in mathematics, |
| International Standard Serial Number |
0075-8434 ; |
| Volume/sequential designation |
volume 2338 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographical references (pages 269-272) and indexes. |
| 520 3# - SUMMARY, ETC. |
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| Summary, etc. |
"This book studies the potential functions of one-dimensional recurrent random walks on the lattice of integers with step distribution of infinite variance. The central focus is on obtaining reasonably nice estimates of the potential function. These estimates are then applied to various situations, yielding precise asymptotic results on, among other things, hitting probabilities of finite sets, overshoot distributions, Green functions on long finite intervals and the half-line, and absorption probabilities of two-sided exit problems. The potential function of a random walk is a central object in fluctuation theory. If the variance of the step distribution is finite, the potential function has a simple asymptotic form, which enables the theory of recurrent random walks to be described in a unified way with rather explicit formulae. On the other hand, if the variance is infinite, the potential function behaves in a wide range of ways depending on the step distribution, which the asymptotic behaviour of many functionals of the random walk closely reflects. In the case when the step distribution is attracted to a strictly stable law, aspects of the random walk have been intensively studied and remarkable results have been established by many authors. However, these results generally do not involve the potential function, and important questions still need to be answered. In the case where the random walk is relatively stable, or if one tail of the step distribution is negligible in comparison to the other on average, there has been much less work. Some of these unsettled problems have scarcely been addressed in the last half-century. As revealed in this treatise, the potential function often turns out to play a significant role in their resolution. Aimed at advanced graduate students specialising in probability theory, this book will also be of interest to researchers and engineers working with random walks and stochastic systems."-- |
| Assigning source |
Back cover. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Random walks (Mathematics) |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Marches aléatoires (Mathématiques) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume/sequential designation |
2338. |
| International Standard Serial Number |
0075-8434 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
| Suppress in OPAC |
No |
| 948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) |
|---|
| h (OCLC) |
NO HOLDINGS IN P5A - 36 OTHER HOLDINGS |
