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

## Random Planar Maps 6Add to your list(s) Download to your calendar using vCal - Miermont, G (ENS - Lyon)
- Thursday 22 January 2015, 10:00-11:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Random Geometry A map is a gluing of a finite number of polygons, forming a connected orientable topological surface. It can be interpreted as assigning this surface a discrete geometry, and the theoretical physics literature in the 80-90s argued that random maps are an appropriate discrete model for the theory of 2-dimensional quantum gravity, which involves ill-defined integrals over all metrics on a given surface. The idea is to replace these integrals by finite sums, for instance over all triangulation of the sphere with a large number of faces, hoping that such triangulations approximate a limiting continuum random surface. In the recent years, much progress has been made in the mathematical understanding of the latter problem. In particular, it is now known that many natural models of random planar maps, for which the faces degrees remain small, admit a universal scaling limit, the Brownian map. Other models, favorizing large faces, also admit a one-parameter family of scaling limits, called stable maps. The latter are believed to describe the asymptotic geometry of random maps carrying statistical physics models, as has now been established in some important cases (including the so-called rigid O(n) model on quadrangulations). This mini-course will review the main aspects of these themes. 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 1, Newton Institute
Note that ex-directory lists are not shown. |
## Other listsMethSoc: Cambridge Student Methodist Society Outreach Cambridge Carbon Footprint## Other talksPlanck Stars: theory and observations Psychology and Suicidal Behaviour An Overview of Stochastic Finite Element Methods for PDE Models with Uncertain Inputs Can polar bears change Arctic clouds? Probing microstructure in pharmaceutical solids using terahertz radiation Liberalizing Contracts: Nineteenth Century promises through literature, law and history |