Escape rates and conditionally invariant measures

By Mark F. Demers, Lai-Sang Young. 2006

158 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6c50ffda3989fdf08c8532d129e82b1a6299dcf8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Andrew Ferguson
2. Ale Jan Homburg
3. Mark Pollicott

In Mathematical Physics

1. H. Zmarrou
2. Andrew Ferguson
3. Ale Jan Homburg
4. Mark Pollicott
5. Fr'ed'eric Naud

In Statistical and Nonlinear Physics

1. H. Zmarrou
2. Andrew Ferguson
3. Tam'as T'el
4. Ale Jan Homburg
5. Eduardo G. Altmann
6. Jefferson S. E. Portela
7. Mark Pollicott

Citations in the corpus

• Bifurcations of stationary measures of random diffeomorphisms (2005, background): “We recall the notion of conditionally invariant measure; see [12, 16, 26, 38, 39] for its use in deterministic dynamics.”
• Leaking chaotic systems (2012, background): “Although many c-measures might exist (Collet and Maume-Deschamps, 2000; Demers and Young, 2006), here we are interested in the natural c-measure which is concentrated along the saddle’s unstable manifold, and has been demonstrated to be relevant in several transientchaos-related phenomena (Lai and…”
• Escape rates for Gibbs measures (2010, result): “la holds. It was then shown that these hypotheses hold when Tis an expanding interval map and µthe absolutely continuous invariant probability measure. Other papers related to this this topic include [1, 6, 9, 19] and reference therein. In this paper, we prove analogous results to those found in [7]”