Introduction
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Publication:5038374
DOI10.1007/978-3-030-29545-5_1zbMath1498.60401OpenAlexW4254857800MaRDI QIDQ5038374
Massimiliano Gubinelli, Martin Hairer, Franco Flandoli
Publication date: 30 September 2022
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-29545-5_1
Research exposition (monographs, survey articles) pertaining to probability theory (60-02) Singular stochastic partial differential equations (60H17) Regularity structures (60L30) Paracontrolled distributions and alternative approaches (60L40)
Cites Work
- Renormalization group and stochastic PDEs
- Heat semigroup and singular PDEs. With an appendix by F. Bernicot and D. Frey
- Solving the KPZ equation
- A theory of regularity structures
- KPZ reloaded
- Renormalization of generalized KPZ equation
- A central limit theorem for the KPZ equation
- Tightness of the Ising-Kac model on the two-dimensional torus
- Ramification of rough paths
- Differential equations driven by rough paths. Ecole d'Eté de Probabilités de Saint-Flour XXXIV -- 2004. Lectures given at the 34th probability summer school, July 6--24, 2004.
- Differential equations driven by rough signals
- Hopf algebras, renormalization and noncommutative geometry
- Stochastic Burgers and KPZ equations from particle systems
- Weak universality of dynamical \(\Phi ^4_3\): non-Gaussian noise
- Support theorem for a singular SPDE: the case of gPAM
- Discretisations of rough stochastic PDEs
- Glauber dynamics of 2D Kac-Blume-Capel model and their stochastic PDE limits
- The dynamic \({\Phi^4_3}\) model comes down from infinity
- Quasilinear SPDEs via rough paths
- Weak universality for a class of 3d stochastic reaction-diffusion models
- Algebraic renormalisation of regularity structures
- Multiplicative stochastic heat equations on the whole space
- The Schrödinger equation with spatial white noise potential
- Construction of \(\Phi^4_3\) diagrams for pedestrians
- Renormalisation of parabolic stochastic PDEs
- Paracontrolled distributions and the 3-dimensional stochastic quantization equation
- Controlling rough paths
- A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory
- Large scale limit of interface fluctuation models
- Geometric versus non-geometric rough paths
- The KPZ equation on the real line
- Paracontrolled distributions on Bravais lattices and weak universality of the 2d parabolic Anderson model
- Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions
- Quasilinear generalized parabolic Anderson model equation
- Introduction to regularity structures
- Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane
- Space-time discrete KPZ equation
- Paracontrolled quasilinear SPDEs
- Global solutions to elliptic and parabolic \({\Phi^4}\) models in Euclidean space
- A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\)
- Three-dimensional Navier-Stokes equations driven by space-time white noise
- The dynamical sine-Gordon model
- Renormalising SPDEs in regularity structures
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Convergence of the Two-Dimensional Dynamic Ising-Kac Model to Φ24
- A CLASS OF GROWTH MODELS RESCALING TO KPZ
- Renormalization of the two-dimensional stochastic nonlinear wave equations
- Solution to the stochastic Schrödinger equation on the full space
- Large‐Scale Behavior of Three‐Dimensional Continuous Phase Coexistence Models
- System Control and Rough Paths
- HIGH ORDER PARACONTROLLED CALCULUS
- The invariant measure and the flow associated to the $\Phi^4_3$-quantum field model
- Geometric stochastic heat equations
- A Solution Theory for Quasilinear Singular SPDEs
- Singular stochastic PDEs
- A course on rough paths. With an introduction to regularity structures