COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Extreme values for deterministic and random dynamical systems

## Extreme values for deterministic and random dynamical systemsAdd to your list(s) Download to your calendar using vCal - Freitas, JM (Centro de Matematica da Universidade do Porto)
- Wednesday 18 December 2013, 14:00-15:00
- Seminar Room 2, Gatehouse Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Mathematics for the Fluid Earth It is well known that the Extremal Index (EI) measures the intensity of clustering of extreme events in stationary processes. We sill see that for some certain uniformly expanding systems there exists a dichotomy based on whether the rare events correspond to the entrance in small balls around a periodic point or a non-periodic point. In fact, either there exists EI in $(0,1)$ around (repelling) periodic points or the EI is equal to $1$ at every non-periodic point. The main assumption is that the systems have sufficient decay of correlations of observables in some Banach space against all $L^1$-observables. Then we consider random perturbations of uniformly expanding systems, such as piecewise expanding maps of the circle. We will see that, in this context, for additive absolutely continuous noise (w.r.t. Lebesgue), the dichotomy vanishes and the EI is always 1. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 2, Gatehouse Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsEngineering Department Computing Seminars Cambridge Global Health Year The Milner Therapeutics Institute: A new vehicle to facilitate academic/industry interactions in Cambridge Centre for Energy Studies Neuroscience Seminars Cambridge University First Aid Society## Other talksProduction Processes Group Seminar - 'Re-thinking biosensors for resource-limited settings' 5 selfish reasons to work reproducibly Reconstructing deep ocean circulation pathway and strength using sediment dispersion LARMOR LECTURE - Exoplanets, on the hunt of Universal life Alzheimer's talks Single Cell Seminars (September) Statistical Methods in Pre- and Clinical Drug Development: Tumour Growth-Inhibition Model Example Speculations about homological mirror symmetry for affine hypersurfaces Chemical genetic approaches to accelerate antimalarial target discovery |