New random geometries and other recent developments in probability
Lead Research Organisation:
University of Bath
Department Name: Mathematical Sciences
Abstract
The last decade has seen the emergence of a range of new random objects well beyond the classical stochastic process setting. Common to these objects is their geometric nature: Random trees, networksor curves all combine the phenomenon of randomness with a specific geometric structure. The relevanceof this development is demonstrated on the one hand by the recent award of the Fields medal to Wernerfor his work on conformally invariant random curves, on the other hand by the huge amount of interest in random network models coming from a broad range of scientific disciplines from sociology to computerscience. There is a pressing need for probabilists in the UK to be exposed to clear presentations of theemerging theory, since its growth already is one of the dominant features of probability theory at the beginning of this century, and because these new models significantly enhance the modelling capacities inapplied probability.
Organisations
Title | Markov chains, rates of escape and embeddings |
Description | Minicourse by Yuval Peres See 27-29 at https://www.youtube.com/playlist?list=PL7E893A4B78FE45DA |
Type Of Art | Film/Video/Animation |
Year Produced | 2013 |
Impact | Courses has been followed by several PhD students online. |
URL | https://www.youtube.com/playlist?list=PL7E893A4B78FE45DA |
Title | Random Polymers |
Description | Minicourse by Frank den Hollander. See Videos 18-20 at https://www.youtube.com/playlist?list=PL7E893A4B78FE45DA |
Type Of Art | Film/Video/Animation |
Year Produced | 2013 |
Impact | I have recommended this course to several people. |
URL | https://www.youtube.com/playlist?list=PL7E893A4B78FE45DA |
Title | Random networks |
Description | Minicourse by Svante Janson See 24-26 at https://www.youtube.com/playlist?list=PL7E893A4B78FE45DA |
Type Of Art | Film/Video/Animation |
Year Produced | 2013 |
Impact | Courses like this are an important resource for PhD students, in particular as networks are an important theme in the SAMBa CDT. |
URL | https://www.youtube.com/playlist?list=PL7E893A4B78FE45DA |
Title | Random planar maps and continuum trees |
Description | Minicourse by Jean Francois Le Gall Video 21-23 at https://www.youtube.com/playlist?list=PL7E893A4B78FE45DA |
Type Of Art | Film/Video/Animation |
Year Produced | 2013 |
Impact | This course has been followed by several PhD students. |
URL | https://www.youtube.com/playlist?list=PL7E893A4B78FE45DA |
Description | This was a workshop and impact is impossible to trace for me. |