Abstract
We aim to give a pedagogic and essentially self-contained presentation of the construction of various stochastic objects appearing in the dynamical Φ4 3 model. The construction presented here is based on the use of paraproducts. The emphasis is on describing the stochastic objects themselves rather than introducing a solution theory for the equation.
Original language | English |
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Title of host publication | From Particle Systems to Partial Differential Equations, PSPDE IV |
Editors | P. Gonçalves, A. Soares |
Place of Publication | New York, U. S. A. |
Publisher | Springer New York |
Pages | 1-46 |
Number of pages | 46 |
ISBN (Print) | 9783319668383 |
DOIs | |
Publication status | Published - 1 Jan 2017 |
Event | 4th International conference on Particle Systems and Partial Differential Equations, PSPDE 2015 - Braga, Portugal Duration: 16 Dec 2015 → 18 Dec 2015 |
Publication series
Name | Springer Proceedings in Mathematics & Statistics |
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Volume | 209 |
Conference
Conference | 4th International conference on Particle Systems and Partial Differential Equations, PSPDE 2015 |
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Country/Territory | Portugal |
City | Braga |
Period | 16/12/15 → 18/12/15 |
Funding
Acknowledgements We are grateful to the very careful referees for their detailed and constructive criticisms, which led to many improvements over the whole paper. We were particularly impressed that one of the referees’ reports turned out to be longer than our paper itself! JCM is partially supported by the ANR Grant LSD (ANR-15-CE40-0020-03). HW is supported by the Royal Society through the University Research Fellowship UF140187. WX is supported by the EPSRC through the fellowship EP/N021568/1.
Keywords
- Feynman diagrams
- Paraproducts
- Singular stochastic PDEs
- Stochastic quantisation
ASJC Scopus subject areas
- General Mathematics