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Harmonic Functions and Potentials on Finite or Infinite Networks
Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) pote...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | Lecture Notes of the Unione Matematica Italiana,
12 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-21399-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220113143857.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110627s2011 gw | s |||| 0|eng d | ||
| 020 | |a 9783642213991 |9 978-3-642-21399-1 | ||
| 024 | 7 | |a 10.1007/978-3-642-21399-1 |2 doi | |
| 050 | 4 | |a QA404.7-405 | |
| 072 | 7 | |a PBK |2 bicssc | |
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| 072 | 7 | |a PBK |2 thema | |
| 082 | 0 | 4 | |a 515.96 |2 23 |
| 100 | 1 | |a Anandam, Victor. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Harmonic Functions and Potentials on Finite or Infinite Networks |h [electronic resource] / |c by Victor Anandam. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2011. | |
| 300 | |a X, 141 p. |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 Lecture Notes of the Unione Matematica Italiana, |x 1862-9121 ; |v 12 | |
| 505 | 0 | |a 1 Laplace Operators on Networks and Trees -- 2 Potential Theory on Finite Networks -- 3 Harmonic Function Theory on Infinite Networks -- 4 Schrödinger Operators and Subordinate Structures on Infinite Networks -- 5 Polyharmonic Functions on Trees. | |
| 520 | |a Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) potential theory on the Euclidean spaces is well-established. The latter theory has been variously generalized, one example being the axiomatic potential theory on locally compact spaces developed by Brelot, with later ramifications from Bauer, Constantinescu and Cornea. A network is a graph with edge-weights that need not be symmetric. This book presents an autonomous theory of harmonic functions and potentials defined on a finite or infinite network, on the lines of axiomatic potential theory. Random walks and electrical networks are important sources for the advancement of the theory. | ||
| 650 | 0 | |a Potential theory (Mathematics). | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 1 | 4 | |a Potential Theory. |
| 650 | 2 | 4 | |a Functions of a Complex Variable. |
| 650 | 2 | 4 | |a Differential Equations. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642213984 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642214004 |
| 830 | 0 | |a Lecture Notes of the Unione Matematica Italiana, |x 1862-9121 ; |v 12 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-21399-1 |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) | ||