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Communications in Partial Differential Equations Volume 47, 2022 - Issue 10
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Articles

Boundary renormalisation of SPDEs

Máté Gerencséra Technische Universität Wien, Vienna, AustriaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-7276-7054
ORCID Icon &
Martin Hairerb Imperial College London, London, UK
Pages 2070-2123 | Received 07 Oct 2021, Accepted 31 Jul 2022, Published online: 27 Aug 2022

References

  • Chouk, K., van Zuijlen, W. (2021). Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions. Ann. Probab. 49(4):1917–1964. DOI: 10.1214/20-AOP1497.
  • Gerencsér, M., Hairer, M. (2019). Singular SPDEs in domains with boundaries. Probab. Theory Relat. Fields. 173(3–4):697–758. DOI: 10.1007/s00440-018-0841-1.
  • Labbé, C. (2019). The continuous Anderson hamiltonian in d≤3. J. Funct. Anal. 277(9):3187–3235. DOI: 10.1016/j.jfa.2019.05.027.
  • Hairer, M., Pardoux, É. (2021). Fluctuations around a homogenised semilinear random PDE. Arch. Ration Mech. Anal. 239(1):151–217. DOI: 10.1007/s00205-020-01574-8.
  • Corwin, I., Shen, H. (2018). Open ASEP in the weakly asymmetric regime. Commun. Pure Appl. Math. 71(10):2065–2128. DOI: 10.1002/cpa.21744.
  • Gonçalves, P., Perkowski, N., Simon, M. (2020). Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP. Ann. Henri Lebesgue. 3:87–167. DOI: 10.5802/ahl.28.
  • Parekh, S. (2019). The KPZ limit of ASEP with boundary. Commun. Math. Phys. 365(2):569–649. DOI: 10.1007/s00220-018-3258-x.
  • Hairer, M., Ryser, M., Weber, H. (2012). Triviality of the 2D stochastic Allen-Cahn equation. Electron. J. Probab. 17:1–14. DOI: 10.1214/EJP.v17-1731.
  • Hairer, M. (2014). A theory of regularity structures. Invent. Math. 198(2):269–504. DOI: 10.1007/s00222-014-0505-4.
  • Bruned, Y., Hairer, M., Zambotti, L. (2019). Algebraic renormalisation of regularity structures. Invent. Math. 215(3):1039–1156. DOI: 10.1007/s00222-018-0841-x.
  • Chandra, A., Hairer, M. (2016). An analytic BPHZ theorem for regularity structures. ArXiv e-prints arXiv:1612.08138.
  • Hairer, M., Pardoux, É. (2015). A Wong-Zakai theorem for stochastic PDEs. J. Math. Soc. Jpn. 67(4):1551–1604. DOI: 10.2969/jmsj/06741551.
  • Bruned, Y., Gabriel, F., Hairer, M., Zambotti, L. (2019). Geometric stochastic heat equations. J. Amer. Math. Soc. 35(2022): 1–80. DOI:10.1090/jams/977.
  • Gerencsér, M. (2020). Nondivergence form quasilinear heat equations driven by space-time white noise. Ann. Inst. H. Poincaré Anal. Non Linéaire. 37(3):663–682. DOI: 10.1016/j.anihpc.2020.01.003.
  • Hairer, M., Labbé, C. (2015). A simple construction of the continuum parabolic Anderson model on R2. Electron. Commun. Probab. 20:11. DOI: 10.1214/ECP.v20-4038.
  • Bailleul, I., Bernicot, F., Frey, D. (2018). Space-time paraproducts for paracontrolled calculus, 3d-PAM and multiplicative Burgers equations. Ann. Sci. École Norm. S. 6(51):1399–1456. DOI: 10.24033/asens.2378.
  • Hairer, M., Matetski, K. (2018). Discretisations of rough stochastic PDEs. Ann. Probab. 46(3):1651–1709. DOI: 10.1214/17-AOP1212.
  • Hairer, M., Shen, H. (2017). A central limit theorem for the KPZ equation. Ann. Probab. 45(6B):4167–4221. DOI: 10.1214/16-AOP1162.

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