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 > Probability > How to replace random walk representations in models that don't have one?

## How to replace random walk representations in models that don't have one?Add to your list(s) Download to your calendar using vCal - Erwin Bolthausen (Zurich)
- Wednesday 24 May 2017, 16:15-17:15
- MR3, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact Perla Sousi. Random walk representations for the correlations of random fields have played a considerable role in the past. For instance, the correlations of gradient models have such a representation if the interactions are given by a convex function of the gradient. Also, correlations for gradient models with local pinning have been analyzed in great details using random walks with traps, see e.g. [1], where very detailed properties of the range of a random walk played a crucial role. In recent years, there had been interest in random fields which don’t admit a direct random walk representation, for instance so-called membrane models. In a recent paper with Alessandra Cipriani and Noemi Kurt [2], we analyzed the decay of correlations for such fields with local pinning which is based on analytic methods. Although the method does not use random walks, it is actually close in spirit to the methods using them. Presently, the results are however much less precise than those obtained for gradient models. References [1] Bolthausen, E., and Velenik, Y.: Critical behavior of the massless free field at the depinning transition. Commun. Math. Phys. 223, 161-203 (2001). [2] Bolthausen, E., Cipriani, A., and Kurt, N.: Exponential Decay of Covari- ances for the Supercritical Membrane Model. Comm. Math. Phys. 2017, doi:10.1007/s00220-017-2886-x. 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
- MR3, CMS, Wilberforce Road, Cambridge, CB3 0WB
- Probability
- School of Physical Sciences
- Statistical Laboratory info aggregator
Note that ex-directory lists are not shown. |
## Other listsLady Margaret Lectures Economic Epidemiology International Relations & History Working Group## Other talksKnots and Vortices Long non-coding RNAs as regulators of cancer cell shape Designing our Tomorrow Time Warps during the French Revolution Chemical and Biological Data - from Compound Selection to Mode of Action Analysis (and Back Again) Origins of Mediterranean flora |