#### 80 Citations

Dynamics of the scenery flow and conical density theorems

- Mathematics
- 2017

Conical density theorems are used in the geometric measure theory to derive geometric information from given metric information. The idea is to examine how a measure is distributed in small balls.… Expand

Dynamics of the scenery flow and geometry of measures

- Mathematics
- 2015

We employ the ergodic theoretic machinery of scenery flows to address classical geometric measure theoretic problems on Euclidean spaces. Our main results include a sharp version of the conical… Expand

Analyse de Séquences ADN par la Transformée en ondelettes : extraction d'informations structurelles, dynamiques et fonctionnelles

- Mathematics
- 2006

Scenery flow, conical densities, and rectifiability

- Mathematics
- 2015

We present an application of the recently developed ergodic theoretic machinery on scenery flows to a classical geometric measure theoretic problem in Euclidean spaces. We also review the… Expand

Ergodic Theory on Homogeneous Spaces and Metric Number Theory

- Mathematics, Computer Science
- Encyclopedia of Complexity and Systems Science
- 2009

An overview of recent developments in metric number theory, in particular, Diophantine approximation on manifolds, obtained by applying ideas and methods coming from dynamics on homogeneous spaces is given. Expand

Comparing Packing Measures to Hausdorff Measures on the Line

- Mathematics
- 2002

For each 0 < s < 1, define c(s) = inf E Ps(E) Hs(E) , where Ps, Hs denote respectively the s–dimensional packing measure and Hausdorff measure, and the infimum is taken over all the sets E ⊂ R with 0… Expand

Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization

- Mathematics
- 1996

Although concrete operators with singular continuous spectrum have proliferated recently [7,11,13,17,34,35,37,39], we still don’t really understand much about singular continuous spectrum. In part,… Expand

Hidden chaos factors inducing random walks as a factor restricting hospital operative efficiency

- Mathematics
- 2020

La Fuenfria Hospital (LFH) operative parameters such as: hospitalised patients; daily admissions and discharges were studies for the hospital as a whole, and per each Hospital's service unit (just… Expand

#### References

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