MARC details
000 -LEADER |
fixed length control field |
02929 a2200397 4500 |
001 - CONTROL NUMBER |
control field |
76444 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
TR-AnTOB |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20201023143656.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
001102s2001 nyua b 001 0 eng |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
00053772 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
0387951547 (pbk.) |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
DLC |
Transcribing agency |
DLC |
Modifying agency |
DLC |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
İngilizce |
050 #0 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA274.73 |
Item number |
.S65 2001 |
090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) |
QA274.73 .S65 2001 |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Spitzer, Frank, |
Dates associated with a name |
1926- |
9 (RLIN) |
59697 |
245 #0 - TITLE STATEMENT |
Title |
Principles of random walk / |
Statement of responsibility, etc. |
Frank Spitzer. |
250 ## - EDITION STATEMENT |
Edition statement |
2nd ed. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
New York : |
Name of producer, publisher, distributor, manufacturer |
Springer, |
Date of production, publication, distribution, manufacture, or copyright notice |
2001. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xii, 408 p. : |
Other physical details |
ill. ; |
Dimensions |
24 cm. |
336 ## - CONTENT TYPE |
Source |
rdacontent |
Content type term |
text |
Content type code |
txt |
337 ## - MEDIA TYPE |
Source |
rdamedia |
Media type term |
unmediated |
Media type code |
n |
338 ## - CARRIER TYPE |
Source |
rdacarrier |
Carrier type term |
volume |
Carrier type code |
nc |
490 0# - SERIES STATEMENT |
Series statement |
Graduate Texts in Mathematics ; |
Volume/sequential designation |
34 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc. note |
|
505 #8 - FORMATTED CONTENTS NOTE |
Formatted contents note |
Machine generated contents note: CHAPTER I. THE CLASSIFICATION OF RANDOM WALK -- 1. Introduction -- 2. Periodicity and recurrence behavior -- 3. Some measure theory -- 4. The range of a random walk -- 5. The strong ratio theorem -- Problems CHAPTER II. HARMONIC ANALYSIS -- 6. Characteristic functions and moments -- 7. Periodicity -- 8. Recurrence criteria and examples -- 9. The renewal theorem -- Problems CHAPTER III. Two-DIMENSIONAL RECURRENT RANDOM WALK -- 10. Generalities -- 11. The hitting probabilities of a finite set -- 12. The potential kernel A(x,y) -- 13. Some potential theory -- 14. The Green function of a finite set -- 15. Simple random walk in the plane -- 16. The time dependent behavior -- Problems CHAPTER IV. RANDOM WALK ON A HALF-LINE -- 17. The hitting probability of the right half-line -- 18. Random walk with finite mean -- 19. The Green function and the gambler's ruin problem -- 20. Fluctuations and the arc-sine law -- Problems -- CHAPTER V. RANDOM WALK ON A INTERVAL -- 21. Simple random walk -- 22. The absorption problem with mean zero, finite variance -- 23. The Green function for the absorption problem -- Problems CHAPTER VI. TRANSIENT RANDOM WALK -- 24. The Green function G(x,y) -- 25. Hitting probabilities -- 26. Random walk in three-space with mean zero and finite -- second moments -- 27. Applications to analysis -- Problems CHAPTER VII. RECURRENT RANDOM WALK -- 28. The existence of the one-dimensional potential kernel -- 29. The asymptotic behavior of the potential kernel -- 30. Hitting probabilities and the Green function -- 31. The uniqueness of the recurrent potential kernel -- 32. The hitting time of a single point -- Problems -- BIBLIOGRAPHY SUPPLEMENTARY BIBLIOGRAPHY INDEX. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Random walks (Mathematics) |
9 (RLIN) |
59698 |
|
Topical term or geographic name entry element |
Rastgele hareket etme (Matematik) |
Source of heading or term |
etuturkob |
9 (RLIN) |
59699 |
856 #4 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="http://www.loc.gov/catdir/toc/fy02/00053772.html">http://www.loc.gov/catdir/toc/fy02/00053772.html</a> |
Materials specified |
Table of Contents |
902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
a |
31438 |
903 ## - LOCAL DATA ELEMENT C, LDC (RLIN) |
a |
Merkez Kütüphanesi |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Book |
Source of classification or shelving scheme |
Library of Congress Classification |
945 ## - LOCAL PROCESSING INFORMATION (OCLC) |
a |
H.A,CS |