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

## Random lattice triangulationsAdd to your list(s) Download to your calendar using vCal - Dr Alexandre Stauffer, University of Bath
- Tuesday 13 May 2014, 16:30-17:30
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact clc32. We consider lattice triangulations as triangulations of the integer points in the square [0; n]x[0; n]. Our focus is on random triangulations in which the probability of obtaining a given lattice triangulation T is proportional to \lambda^|T|, where \lambda is a positive real parameter and |T| is the total length of the edges in T. Empirically, this model exhibits a phase transition at \lambda = 1 (corresponding to the uniform distribution): for \lambda < 1 distant edges behave essentially independently, while for \lambda > 1 very large regions of aligned edges appear. We substantiate this picture as follows. For \lambda < 1 sufficiently small, we show that correlations between edges decay exponentially with distance (suitably defined), and also that the Glauber dynamics (a local Markov chain based on flipping edges) is rapidly mixing (in time polynomial in the number of edges in the triangulation). By contrast, for \lambda > 1 we show that the mixing time is exponential. Joint work with Pietro Caputo, Fabio Martinelli and Alistair Sinclair. This talk is part of the Probability series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS info aggregator
- DPMMS lists
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
- Probability
- School of Physical Sciences
- Statistical Laboratory info aggregator
Note that ex-directory lists are not shown. |
## Other listsInternational Cafe Scientifique Disaster Resilient Supply Chain Operations (DROPS) Workshop Series MRC Cancer Unit Seminars## Other talksModelling Volatility Surfaces - Dimension Reduction Techniques to Extract Structure from Option Price Data Nuclear Quantum Effects in Water Reorientation & Hydrogen-Bond Dynamics National Infrastructure Commission Post-hoc tests, multiple comparisons, contrasts and handling interactions Ethics for the working mathematician, seminar 5: Mathematical precision. Hardware Efficient Machine Learning |