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The Parabolic Anderson Model Random Walk in Random Potential /
This is a comprehensive survey on the research on the parabolic Anderson model - the heat equation with random potential or the random walk in random potential - of the years 1990 - 2015. The investigation of this model requires a combination of tools from probability (large deviations, extreme-valu...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | Pathways in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-33596-4 | ||
| 003 | DE-He213 | ||
| 005 | 20220121000137.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160610s2016 sz | s |||| 0|eng d | ||
| 020 | |a 9783319335964 |9 978-3-319-33596-4 | ||
| 024 | 7 | |a 10.1007/978-3-319-33596-4 |2 doi | |
| 050 | 4 | |a QA273.A1-274.9 | |
| 072 | 7 | |a PBT |2 bicssc | |
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| 082 | 0 | 4 | |a 519.2 |2 23 |
| 100 | 1 | |a König, Wolfgang. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Parabolic Anderson Model |h [electronic resource] : |b Random Walk in Random Potential / |c by Wolfgang König. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Birkhäuser, |c 2016. | |
| 300 | |a XI, 192 p. 4 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Pathways in Mathematics, |x 2367-346X | |
| 505 | 0 | |a 1 Background, model and questions -- 2 Tools and concepts -- 3 Moment asymptotics for the total mass -- 4 Some proof techniques -- 5 Almost sure asymptotics for the total mass -- 6 Strong intermittency -- 7 Refined questions -- 8 Time-dependent potentials. | |
| 520 | |a This is a comprehensive survey on the research on the parabolic Anderson model - the heat equation with random potential or the random walk in random potential - of the years 1990 - 2015. The investigation of this model requires a combination of tools from probability (large deviations, extreme-value theory, e.g.) and analysis (spectral theory for the Laplace operator with potential, variational analysis, e.g.). We explain the background, the applications, the questions and the connections with other models and formulate the most relevant results on the long-time behavior of the solution, like quenched and annealed asymptotics for the total mass, intermittency, confinement and concentration properties and mass flow. Furthermore, we explain the most successful proof methods and give a list of open research problems. Proofs are not detailed, but concisely outlined and commented; the formulations of some theorems are slightly simplified for better comprehension. | ||
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Probability Theory. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319335957 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319335971 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319815565 |
| 830 | 0 | |a Pathways in Mathematics, |x 2367-346X | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-33596-4 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||