Conductive Homogeneity of Compact Metric Spaces and Construction of 𝑝-Energy
In the ordinary theory of Sobolev spaces on domains of , the -energy is defined as the integral of ||. In this paper, we try to construct a -energy on compact metric spaces as a scaling limit of discrete -energies on a series of graphs approximating the original space. In conclusion, we propose a no...
Na minha lista:
| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin :
European Mathematical Society
2023.
Berlin : |
| coleção: | Memoirs of the European Mathematical Society
5 |
| Acesso em linha: | Accès sur la plateforme EMS Press Accès sur la plateforme ISTEX Accès Université d'Orléans Accès INSA CVL |
| Nota: |
European Mathematical Society (Licence nationale) European Mathematical Society (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Conductive Homogeneity of Compact Metric Spaces and Construction of 𝑝-Energy, 978-3-98547-056-3 |
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| 100 | 1 | |a Kigami, Jun, |d 1960- | |
| 245 | 1 | 0 | |a Conductive Homogeneity of Compact Metric Spaces and Construction of 𝑝-Energy |c Jun Kigami. |
| 260 | |a Berlin : |b European Mathematical Society. | ||
| 260 | |a Berlin : |b European Mathematical Society, |c 2023. | ||
| 490 | 0 | |a Memoirs of the European Mathematical Society |x 2747-9099 |v 5 | |
| 500 | |a European Mathematical Society (Licence nationale) | ||
| 500 | |a European Mathematical Society (Licence nationale) | ||
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences | ||
| 506 | |a Accès libre en ligne à l'intégralité de la ressource | ||
| 520 | |a In the ordinary theory of Sobolev spaces on domains of , the -energy is defined as the integral of ||. In this paper, we try to construct a -energy on compact metric spaces as a scaling limit of discrete -energies on a series of graphs approximating the original space. In conclusion, we propose a notion called conductive homogeneity under which one can construct a reasonable -energy if p is greater than the Ahlfors regular conformal dimension of the space. In particular, if 2, then we construct a local regular Dirichlet form and show that the heat kernel associated with the Dirichlet form satisfies upper and lower sub-Gaussian type heat kernel estimates. As examples of conductively homogeneous spaces, we present new classes of square-based self-similar sets and rationally ramified Sierpiński crosses, where no diffusions were constructed before. | ||
| 776 | 0 | |t Conductive Homogeneity of Compact Metric Spaces and Construction of 𝑝-Energy |z 978-3-98547-056-3 | |
| 856 | 4 | |u https://doi.org/10.4171/mems/5 |z Accès sur la plateforme EMS Press | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-69584LM7-X |z Accès sur la plateforme ISTEX | |
| 856 | 4 | |5 452349901:833133497 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.4171/mems/5 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:833136356 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.4171/mems/5 |z Accès INSA CVL | |
| 997 | |0 1243115 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||