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 > Large Deviation Principle for the Erds-Renyi random graph

## Large Deviation Principle for the Erds-Renyi random graphAdd to your list(s) Download to your calendar using vCal - Chatterjee, S (Courant Institute)
- Friday 01 April 2011, 14:00-15:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Discrete Analysis What does an Erdos-Renyi graph look like when a rare event happens? I will describe an answer to this question when p is fixed and n tends to infinity by establishing a large deviation principle under an appropriate topology. The formulation and proof of the main result uses the recent development of the theory of graph limits by Lovasz and coauthors and Szemeredi’s regularity lemma from graph theory. As a basic application of the general principle, we work out large deviations for the number of triangles in G(n,p). Surprisingly, even this simple example yields an interesting double phase transition. This is based on joint work with S. R. S. Varadhan. 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
- bld31
Note that ex-directory lists are not shown. |
## Other listsBasic Statistics Reading Group Are there too may people? A head-to-head debate on overpopulation Cambridge Journal of Regions, Economy and Society## Other talksElectoral intrigue, ethnic politics and the vibrancy of the Kenyan public sphere Using single-cell technologies and planarians to study stem cells, their differentiation and their evolution Stokes-Smoluchowski-Einstein-Langevin theory for active colloidal suspensions Introduction to Biomolecular NMR Propaganda porcelain: The mirror of the Russian revolution and its consequences |