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

## A dynamical system of the WR model in 1DAdd to your list(s) Download to your calendar using vCal - Dr Yuri Suhov, Statslab/University of Sao Paulo, Brazil
- Tuesday 15 April 2014, 14:15-15:15
- MR15, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact clc32. A one-dimensional Widom—Rowlinson model with $q$ types of particles is considered from a dynamical point of view. Particles of a unit mass move along the line without noticing each other when they belong to the same type and experiencing elastic collisions when they belong to different types. A natural invariant (equilibrium) measure is where (i) the position distribution represents a shift-invariant point process formed by random (Poissonian/geometric) `series` of particles of a fixed type succeeded by series of other types separated from each other by hard-core exclusion intervals, and (ii) the velocities of different particles are IID . We show that an `equilibrium` dynamical system with such an invariant measure has extreme ergodic properties (generates a B-flow of an infinite entropy). Moreover, we check that a `non-equilibrium` flow, with an initial distribution of a general type, exhibits convergence to a limiting measure of the above form. All concepts from the ergodic theory will be introduced on the spot, including a brief history of the Botzmann ergodicity conjecture (featured prominently in this year’s Abel prtize citation.) 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
- Hanchen DaDaDash
- Interested Talks
- MR15, CMS, Wilberforce Road, Cambridge, CB3 0WB
- Probability
- School of Physical Sciences
- Statistical Laboratory info aggregator
- bld31
Note that ex-directory lists are not shown. |
## Other listsCERF Marshall Holiday Lectures Workshop in Microeconomics Gates Cambridge Annual Lecture 7 March 2017 DAMTP Statistical Physics and Soft Matter Seminar Centre for Industrial Sustainability Seminars## Other talks'Ways of Reading, Looking, and Imagining: Contemporary Fiction and Its Optics' Cambridge - Corporate Finance Theory Symposium September 2018 - Day 1 C++11/14 - the new C++ Domain Uncertainty Quantification The microenvironment in the myeloid malignancies Prof Kate Jones (UCL): Biodiversity & Conservation Direct measurements of dynamic granular compaction at the mesoscale using synchrotron X-ray radiography Atiyah Floer conjecture The Productivity Paradox: are we too busy to get anything done? Dynamics of Phenotypic and Genomic Evolution in a Long-Term Experiment with E. coli |