MARC details
| 000 -LEADER |
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| fixed length control field |
03144cam a2200397 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
on1420314089 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240517145709.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240209t20242024riua b 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1470467917 |
| Qualifying information |
(pbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470467913 |
| Qualifying information |
(pbk.) |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)1420314089 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
YDX |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
YDX |
| Modifying agency |
OCLCO |
| -- |
YSM |
| -- |
OCLCO |
| -- |
EAU |
| -- |
OCLCO |
| -- |
UNBCA |
| -- |
OCLCQ |
| 066 ## - CHARACTER SETS PRESENT |
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| Alternate G0 or G1 character set |
(S |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510 |
| Assigning agency |
OCoLC |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES |
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| IMPA CODE FOR CLASSIFICATION SHELVES |
Coleções de Monografias. |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Bates, Erik, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
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| Title |
Empirical measures, geodesic lengths, and a variational formula in first-passage percolation / |
| Statement of responsibility, etc. |
by Erik Bates. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Providence, R.I. : |
| Name of producer, publisher, distributor, manufacturer |
American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2024. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2024 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xi, 92 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 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 |
Memoirs of the American Mathematical Society ; |
| International Standard Serial Number |
0065-9266 ; |
| Volume/sequential designation |
v. 1460 |
| 500 ## - GENERAL NOTE |
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| General note |
"January 2024, volume 293, number 1460 (fourth of 7 numbers)." |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographical references (pages 89-92). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Probabilities. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
probability. |
| Source of heading or term |
aat |
| 697 ## - LOCAL SUBJECT |
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| Linkage |
23736 |
| Local Subject |
Coleções de Monografias. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Memoirs of the American Mathematical Society ; |
| Volume/sequential designation |
v. 1460. |
| International Standard Serial Number |
0065-9266 |
| 880 3# - ALTERNATE GRAPHIC REPRESENTATION |
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| Linkage |
520-00/(S |
| a |
"This monograph resolves - in a dense class of cases - several open problems concerning geodesics in i.i.d. first-passage percolation on Zd. Our primary interest is in the empirical measures of edge-weighs observed along geodesics from 0 to nξ, where ξ is a fixed unit vector. For various dense families of edge-weight distributions, we prove that these empirical measures converge weakly to a deterministic limit as n -> ∞, answering a question of Hoffman. These families include arbitrarily small L∞-perturbations of any given distribution, almost every finitely supported distribution, uncountable collections of continuous distributions, and certain discrete distributions whose atoms can have any prescribed sequence of probabilities. Moreover, the constructions are explicit enough to guarantee examples possessing certain features, for instance: both continuous and discrete distributions whose support is all of [0, ∞), and distributions given by a density function that is k-times differentiable. All results also hold for ξ-directed infinite geodesics. In comparison, we show that if Zd is replaced by the infinite d-ary tree, then any distribution for the weights admits a unique limiting empirical measure along geodesics. In both the lattice and tree cases, our methodology is driven by a new variational formula for the time constant, which requires no assumptions on the edge-weight distribution. Incidentally, this variational approach also allows us to obtain new convergence results for geodesic lengths, which have been unimproved in the subcritical regime since the seminal 1965 manuscript of Hammersley and Welsh." -- |
| c |
Provided by publisher |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| 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) |
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| h (OCLC) |
NO HOLDINGS IN P5A - 11 OTHER HOLDINGS |
