Fractal entropies and dimensions for microstate spaces, II
| dc.creator | Jung, Kenley | |
| dc.date | 2003-12-11 | |
| dc.date.accessioned | 2026-07-07T05:03:47Z | |
| dc.date.available | 2026-07-07T05:03:47Z | |
| dc.description | For a selfadjoint element x in a tracial von Neumann algebra and $α= δ_0(x)$ we compute bounds for $\mathbb H^α(x),$ where $\mathbb H^α(x)$ is the free Hausdorff $α$-entropy of $x.$ The bounds are in terms of $\int \int_{\mathbb R^2 -D} \log |y-z| dμ(y) dμ(z)$ where $μ$ is the Borel measure on the spectrum of x induced by the trace and $D \subset \mathbb R^2$ is the diagonal. We compute similar bounds for the free Hausdorff entropy of a free family of selfadjoints. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312223 | |
| dc.identifier | http://arxiv.org/abs/math/0312223 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69556 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L54; 28A78 | |
| dc.title | Fractal entropies and dimensions for microstate spaces, II | |
| dc.type | text |