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 > The geometry and topology of random polygons

## The geometry and topology of random polygonsAdd to your list(s) Download to your calendar using vCal - Cantarella, J (University of Georgia)
- Thursday 20 September 2012, 11:30-12:30
- Seminar Room 2, Newton Institute Gatehouse.
If you have a question about this talk, please contact Mustapha Amrani. Topological Dynamics in the Physical and Biological Sciences Here is a natural question in statistical physics: What is the expected shape of a polymer with n monomers in solution? The corresponding mathematical question is equally interesting: Consider the space of n-gons in three dimensional space with length 2, modulo translation. This is a compact manifold. What is the natural metric (and corresponding probability measure) on this manifold? And what are the statistical properties of n-gons in 3-space sampled uniformly from this probability measure? In this talk, we describe a natural probability measure on length 2 n-gon space pushed forward from the standard measure on the Stiefel manifold of 2-frames in complex n-space. The pushforward map comes from a construction of Hausmann and Knutson from algebraic geometry. We will be able to explicitly and exactly compute the expected value of the radius of gyration for polygons sampled from our measure, and also give a fast algorithm for directly sampling the space of closed polygons. The talk describes joint work with Malcolm Adams (University of Georgia, USA ), Tetsuo Deguchi (Ochanomizu University, Japan), and Clay Shonkwiler (University of Georgia, USA ). 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, Newton Institute Gatehouse
- bld31
Note that ex-directory lists are not shown. |
## Other listsRegional Zebrafish meeting Decolonising the Curriculum Psychology talks and events## Other talksMechanistic model development to characterise drug effects on platelets over time in pharmaceutical research. Deterministic RBF Surrogate Methods for Uncertainty Quantification, Global Optimization and Parallel HPC Applications Oncological imaging: introduction and non-radionuclide techniques Huntington´s disease and autophagy - insights from human and mouse model systems International Women's Day Lecture 2018: Press for Progress by Being an Active Bystander Big and small history in the Genizah: how necessary is the Cairo Genizah to writing the history of the Medieval Mediterranean? |