Oscillations of Observables in 1-Dimensional Lattice Systems
| dc.creator | Collet, Pierre | |
| dc.creator | Eckmann, Jean-Pierre | |
| dc.date | 1997-05-18 | |
| dc.date.accessioned | 2026-07-07T09:11:45Z | |
| dc.date.available | 2026-07-07T09:11:45Z | |
| dc.description | Using, and extending, striking inequalities by V.V. Ivanov on the down-crossings of monotone functions and ergodic sums, we give universal bounds on the probability of finding oscillations of observables in 1-dimensional lattice gases in infinite volume. In particular, we study the finite volume average of the occupation number as one runs through an increasing sequence of boxes of size $2n$ centered at the origin. We show that the probability to see $k$ oscillations of this average between two values $β$ and $0<α<β$ is bounded by $C R^k$, with $R<1$, where the constants $C$ and $R$ do not depend on any detail of the model, nor on the state one observes, but only on the ratio $α/β$. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9705175 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9705175 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151792 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Oscillations of Observables in 1-Dimensional Lattice Systems | |
| dc.type | text |