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 > Space-time localisation for the dynamic $\Phi^4_3$ model

## Space-time localisation for the dynamic $\Phi^4_3$ modelAdd to your list(s) Download to your calendar using vCal - Hendrik Weber (University of Bath)
- Thursday 13 December 2018, 09:00-10:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. SRQW03 - Scaling limits & SPDEs: recent developments and future directions We prove an a priori bound for solutions of the dynamic $Phi^4_3$ equation. This bound provides a control on solutions on a compact space-time set only in terms of the realisation of the noise on an enlargement of this set, and it does not depend on any choice of space-time boundary conditions. We treat the large and small scale behaviour of solutions with completely different arguments. For small scales we use bounds akin to those presented in Hairer's theory of regularity structures. For large scales we use a PDE argument based on the maximum principle. Both regimes are connected by a solution-dependent regularisation procedure. The fact that our bounds do not depend on space-time boundary conditions makes them useful for the analysis of large scale properties of solutions. They can for example be used in a compactness argument to construct solutions on the full space and their invariant measures. Joint work with A. Moinat. 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 listsType the title of a new list here ME Seminar Departmental Seminar Programme, Department of Veterinary Medicine## Other talksRelative kappa-classes Volcanic Crystal Clocks and CO2: Transforming our Prospects for Predicting Huge Eruptions Designing Novel Nanoporous Materials for Applications in Energy, Environment and Health An early hematopoietic progenitor contributes endothelial cells to organ vasculature Digital Exclusion: A Politics of Refusal for a Data-Driven Era |