| Texto completo | |
| Autor(es): |
Número total de Autores: 2
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| Afiliação do(s) autor(es): | [1] Free Univ Berlin, FB Math & Informat, Berlin - Germany
[2] Humboldt Univ, Inst Math, Berlin - Germany
Número total de Afiliações: 2
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| Tipo de documento: | Artigo Científico |
| Fonte: | ELECTRONIC JOURNAL OF PROBABILITY; v. 24, 2019. |
| Citações Web of Science: | 1 |
| Resumo | |
We prove existence and uniqueness of distributional solutions to the KPZ equation globally in space and time, with techniques from paracontrolled analysis. Our main tool for extending the analysis on the torus to the full space is a comparison result that gives quantitative upper and lower bounds for the solution. We then extend our analysis to provide a path-by-path construction of the random directed polymer measure on the real line and we derive a variational characterisation of the solution to the KPZ equation. (AU) | |
| Processo FAPESP: | 15/50122-0 - Fenomenos dinamicos em redes complexas:fundamentos e aplicacoes. (fapesp-dfg) |
| Beneficiário: | Elbert Einstein Nehrer Macau |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |