Percolation:
Percolation theory was initiated some fifty years ago as a mathematical framework for the study of random physical processes such as flow through a disordered porous medium. It has proved to be a remarkably rich theory, with applications beyond natural phenomena to topics such as network modelling....
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2006
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| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Percolation theory was initiated some fifty years ago as a mathematical framework for the study of random physical processes such as flow through a disordered porous medium. It has proved to be a remarkably rich theory, with applications beyond natural phenomena to topics such as network modelling. The aims of this book, first published in 2006, are twofold. First to present classical results in a way that is accessible to non-specialists. Second, to describe results of Smirnov in conformal invariance, and outline the proof that the critical probability for random Voronoi percolation in the plane is 1/2. Throughout, the presentation is streamlined, with elegant and straightforward proofs requiring minimal background in probability and graph theory. Numerous examples illustrate the important concepts and enrich the arguments. All-in-all, it will be an essential purchase for mathematicians, physicists, electrical engineers and computer scientists working in this exciting area |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (x, 323 pages) |
| ISBN: | 9781139167383 |
| DOI: | 10.1017/CBO9781139167383 |
Staff View
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| 520 | |a Percolation theory was initiated some fifty years ago as a mathematical framework for the study of random physical processes such as flow through a disordered porous medium. It has proved to be a remarkably rich theory, with applications beyond natural phenomena to topics such as network modelling. The aims of this book, first published in 2006, are twofold. First to present classical results in a way that is accessible to non-specialists. Second, to describe results of Smirnov in conformal invariance, and outline the proof that the critical probability for random Voronoi percolation in the plane is 1/2. Throughout, the presentation is streamlined, with elegant and straightforward proofs requiring minimal background in probability and graph theory. Numerous examples illustrate the important concepts and enrich the arguments. All-in-all, it will be an essential purchase for mathematicians, physicists, electrical engineers and computer scientists working in this exciting area | ||
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Record in the Search Index
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| author | Bollobás, Béla 1943- |
| author_GND | (DE-588)109481240 (DE-588)120930102 |
| author_facet | Bollobás, Béla 1943- |
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| author_sort | Bollobás, Béla 1943- |
| author_variant | b b bb |
| building | Verbundindex |
| bvnumber | BV043943292 |
| classification_rvk | SK 820 UG 3100 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781139167383 (OCoLC)992915397 (DE-599)BVBBV043943292 |
| dewey-full | 530.13 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.13 |
| dewey-search | 530.13 |
| dewey-sort | 3530.13 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9781139167383 |
| format | Electronic eBook |
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| id | DE-604.BV043943292 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:19Z |
| institution | BVB |
| isbn | 9781139167383 |
| language | English |
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| oclc_num | 992915397 |
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| physical | 1 online resource (x, 323 pages) |
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| publishDate | 2006 |
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| publisher | Cambridge University Press |
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| spelling | Bollobás, Béla 1943- Verfasser (DE-588)109481240 aut Percolation Béla Bollobás, Oliver Riordan Cambridge Cambridge University Press 2006 1 online resource (x, 323 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Percolation theory was initiated some fifty years ago as a mathematical framework for the study of random physical processes such as flow through a disordered porous medium. It has proved to be a remarkably rich theory, with applications beyond natural phenomena to topics such as network modelling. The aims of this book, first published in 2006, are twofold. First to present classical results in a way that is accessible to non-specialists. Second, to describe results of Smirnov in conformal invariance, and outline the proof that the critical probability for random Voronoi percolation in the plane is 1/2. Throughout, the presentation is streamlined, with elegant and straightforward proofs requiring minimal background in probability and graph theory. Numerous examples illustrate the important concepts and enrich the arguments. All-in-all, it will be an essential purchase for mathematicians, physicists, electrical engineers and computer scientists working in this exciting area Percolation (Statistical physics) Perkolationstheorie (DE-588)4323583-9 gnd rswk-swf Perkolation (DE-588)4115530-0 gnd rswk-swf Perkolationstheorie (DE-588)4323583-9 s 1\p DE-604 Perkolation (DE-588)4115530-0 s 2\p DE-604 Riordan, Oliver Sonstige (DE-588)120930102 oth Erscheint auch als Druckausgabe 978-0-521-87232-4 https://doi.org/10.1017/CBO9781139167383 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bollobás, Béla 1943- Percolation Percolation (Statistical physics) Perkolationstheorie (DE-588)4323583-9 gnd Perkolation (DE-588)4115530-0 gnd |
| subject_GND | (DE-588)4323583-9 (DE-588)4115530-0 |
| title | Percolation |
| title_auth | Percolation |
| title_exact_search | Percolation |
| title_full | Percolation Béla Bollobás, Oliver Riordan |
| title_fullStr | Percolation Béla Bollobás, Oliver Riordan |
| title_full_unstemmed | Percolation Béla Bollobás, Oliver Riordan |
| title_short | Percolation |
| title_sort | percolation |
| topic | Percolation (Statistical physics) Perkolationstheorie (DE-588)4323583-9 gnd Perkolation (DE-588)4115530-0 gnd |
| topic_facet | Percolation (Statistical physics) Perkolationstheorie Perkolation |
| url | https://doi.org/10.1017/CBO9781139167383 |
| work_keys_str_mv | AT bollobasbela percolation AT riordanoliver percolation |