| Title: |
On Brownian flights |
| Authors: |
Batakis, Athanasios; Levitz, Pierre; Zinsmeister, Michel |
| Contributors: |
Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO); Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS); Laboratoire de physique de la matière condensée (LPMC); École polytechnique (X); Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS) |
| Source: |
ISSN: 1558-8599. |
| Publisher Information: |
CCSD; International Press |
| Publication Year: |
2011 |
| Collection: |
Université d'Orléans: HAL |
| Subject Terms: |
Brownian motion; Brownian flights; diffusion of fractals; 60J60,60J45,31B20,82C70; [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] |
| Description: |
International audience ; Let K be a compact subset of ${\mathbb R}^n$. We choose at random with uniform law a point at distance $\varepsilon$ of K and start a Brownian motion (BM) from this point. We study the probability that this BM hits K for the first time at a distance $\geq r$ from the starting point. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/arxiv/0704.2362; ARXIV: 0704.2362 |
| Availability: |
https://hal.science/hal-00142289; https://hal.science/hal-00142289v1/document; https://hal.science/hal-00142289v1/file/articleBLZ.pdf |
| Rights: |
info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.F2AB81B4 |
| Database: |
BASE |