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We introduce an explicit description of the $\Phi^4_3$ measure on a bounded domain.
Boson fields with the Φ 4 \Phi^{4} interaction in three dimensions
J. Glimm · 1968
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Positivity of the ϕ 3 4 \phi^{4}_{3} Hamiltonian
J. Glimm and A. Jaffe · 1973
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The λ φ 3 4 \lambda\varphi^{4}_{3} field theory in a finite volume
J. Feldman · 1974
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The λ φ 3 4 \lambda\varphi^{4}_{3} Euclidean quantum field theory in a periodic box
Y. M. Park · 1975
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The infinite volume limit of the ϕ 3 4 \phi^{4}_{3} model
J. Magnen and R. Sénéor · 1976
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Ultraviolet stability in Euclidean scalar field theories
G. Benfatto, M. Cassandro, G. Gallavotti, F. Nicoló, E. Olivieri, E. Presutti, and E. Scacciatelli · 1980
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A new proof of the existence and nontriviality of the continuum ϕ 2 4 \phi^{4}_{2} and ϕ 3 4 \phi^{4}_{3} quantum field theories
D. C. Brydges, J. Fröhlich, and A. D. Sokal · 1983
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The renormalization group and critical phenomena
K. G. Wilson · 1983
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Renormalization and effective lagrangians
J. Polchinski · 1984
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An entropy approach to the time reversal of diffusion processes
H. Föllmer · 1985
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Mayer expansions and the Hamilton-Jacobi equation
D. C. Brydges and T. Kennedy · 1987
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Theory of Function Spaces II
H. Triebel · 1992
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Functional Integrals and their Applications
D. C. Brydges, R. Fernández, and C. Ecublens · 1993
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An introduction to Γ \Gamma -Convergence
A. Dal Maso · 1993
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The short distance behavior of ϕ 3 4 \phi^{4}_{3}
D. Brydges, J. Dimock, and T. R. Hurd · 1995
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Exact Smoothing Properties of Schrödinger Semigroups
A. Gulisashvili and M. A. Kon · 1996
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Gaussian Hilbert Spaces
S. Janson · 1997
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A variational representation for certain functionals of Brownian motion
M. Boué and P. Dupuis · 1998
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The Almost Sure Skorokhod Representation for Subsequences in Nonmetric Spaces
A. Jakubowski · 1998
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Diffusion equations and geometric inequalities
C. Borell · 2000
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Gamma-convergence for beginners
A. Braides · 2002
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Continuous Martingales and Brownian Motion
D. Revuz and M. Yor · 2004
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W. H. Fleming and H. M. Soner · 2005
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A theory of regularity structures
M. Hairer · 2014
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Variational calculation of Laplace transforms via entropy on Wiener space and applications
A. S. Üstünel · 2014
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Paracontrolled distributions and singular PDEs
M. Gubinelli, P. Imkeller, and N. Perkowski · 2015
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Global well-posedness of the dynamic Φ 4 \Phi^{4} model in the plane
J.-C. Mourrat and H. Weber · 2015
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Large scale behaviour of 3d phase coexistence models
M. Hairer and W. Xu · 2016
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Renormalization Group and Stochastic PDEs
A. Kupiainen · 2016
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S. Albeverio, S. Liang, and B. Zegarlinski · 2006
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Lectures on the renormalisation group
D. C. Brydges · 2009
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A variational representation for random functionals on abstract Wiener spaces
X. Zhang · 2009
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Fourier Analysis and Nonlinear Partial Differential Equations
H. Bahouri, J.-Y. Chemin, and R. Danchin · 2011
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Paracontrolled Distributions and the 3-dimensional Stochastic Quantization Equation
R. Catellier and K. Chouk · 2013
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Representation formula for the entropy and functional inequalities
J. Lehec · 2013
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The dynamic Φ 3 4 \Phi^{4}_{3} model comes down from infinity
J.-C. Mourrat and H. Weber · 2016
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Construction of Φ 3 4 \Phi^{4}_{3} diagrams for pedestrians
J.-C. Mourrat, H. Weber, and W. Xu · 2016
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Quasilinear SPDEs via rough paths
F. Otto and H. Weber · 2016
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The invariant measure and the flow associated to the $\Phi ^4_3$-quantum field model
S. Albeverio and S. Kusuoka · 2017
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Gagliardo-Nirenberg inequalities and non-inequalities: the full story
H. Brezis and P. Mironescu · 2018
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Weak universality for a class of 3d stochastic reaction–diffusion models
M. Furlan and M. Gubinelli · 2018
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Global solutions to elliptic and parabolic Φ 4 \Phi^{4} models in Euclidean space
M. Gubinelli and M. Hofmanová · 2018
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A PDE construction of the Euclidean Φ 3 4 \Phi^{4}_{3} quantum field theory
M. Gubinelli and M. Hofmanova · 2018
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Semilinear evolution equations for the anderson hamiltonian in two and three dimensions
M. Gubinelli, B. E. Ugurcan, and I. Zachhuber · 2018
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Large-scale limit of interface fluctuation models
M. Hairer and W. Xu · 2018
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