On conformally invariant subsets of the planar Brownian curve
| dc.creator | Beffara, Vincent | |
| dc.date | 2001-05-23 | |
| dc.date.accessioned | 2026-07-07T04:41:50Z | |
| dc.date.available | 2026-07-07T04:41:50Z | |
| dc.description | We define and study a family of generalized non-intersection exponents for planar Brownian motions that is indexed by subsets of the complex plane: For each $A\subset\CC$, we define an exponent $ξ(A)$ that describes the decay of certain non-intersection probabilities. To each of these exponents, we associate a conformally invariant subset of the planar Brownian path, of Hausdorff dimension $2-ξ(A)$. A consequence of this and continuity of $ξ(A)$ as a function of $A$ is the almost sure existence of pivoting points of any sufficiently small angle on a planar Brownian path. | |
| dc.description | 29 pages, 1 picture | |
| dc.identifier | https://arxiv.org/abs/math/0105192 | |
| dc.identifier | http://arxiv.org/abs/math/0105192 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61521 | |
| dc.subject | Probability | |
| dc.subject | 60J65 | |
| dc.title | On conformally invariant subsets of the planar Brownian curve | |
| dc.type | text |