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 > Local bounds for the dynamic $\Phi^4_3$ model

## Local bounds for the dynamic $\Phi^4_3$ modelAdd to your list(s) Download to your calendar using vCal - Augustin Moinat (University of Warwick)
- Wednesday 07 November 2018, 15:00-15:30
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. SRQ - Scaling limits, rough paths, quantum field theory 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 very much 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. 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 2, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsCRASSH Desiring the Middle East Seminars at Pembroke Triple Helix Cambridge## Other talks30th McDonald Institute Annual Lecture: The Medieval Ritual Landscape: Archaeology and Folk Religion Coordinated approaches to assess the effects of interacting global change drivers on forest composition and function Researching otherwise: some reflections on the decolonisation of research practice (and production of knowledge), beyond extractivism and epistemicide Matrix coefficients of finite groups |