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 > Scaling limits for a dynamic model of 2D Young diagrams

## Scaling limits for a dynamic model of 2D Young diagramsAdd to your list(s) Download to your calendar using vCal - Funaki, T (Tokyo)
- Monday 04 January 2010, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Stochastic Partial Differential Equations We construct dynamics of two-dimensional Young diagrams, which are naturally associated with their grandcanonical ensembles, by allowing the creation and annihilation of unit squares located at the boundary of the diagrams. The grandcanonical ensembles, which were introduced by Vershik (Func. Anal. Appl., ‘96), are uniform measures under conditioning on their area. We then show that, as the averaged size of the diagrams diverges, the corresponding height variable converges to a solution of a certain non-linear partial differential equation under a proper space-time scaling. The stationary solution of the limit equation is identified with the so-called Vershik curve. We also discuss the corresponding dynamic fluctuation problem under a non-equilibrium situation, and derive stochastic partial differential equations in the limit. We study both uniform and restricted uniform statistics for the Young diagrams. This is a joint work with Makiko Sasada (Univ Tokyo) and the paper on the part of the hydrodynamic limit is available: arXiv:0909.5482. 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 listsScience@Darwin Dead Bodies, Living Organs: What Pathologists Really Do Sir Edmund Hillary Memorial Lecture## Other talksTowards a whole brain model of perceptual learning Developmental cognitive neuroscience The spin evolution of supermassive black holes Transport and Settling of Sediments in River Plumes What we donâ€™t know about the Universe from the very small to the very big : ONE DAY MEETING Katie Field - Symbiotic options for the conquest of land DataFlow SuperComputing for BigData The Productivity Paradox: are we too busy to get anything done? Constructing the virtual fundamental cycle Coin Betting for Backprop without Learning Rates and More HE@Cam Seminar: Anna Heath - Value of Sample Information as a Tool for Clinical Trial Design |