Fetching the paper…
Reading the bibliography…
The present paper is a continuation of our previous work on the stochastic quantization of the $\exp(\Phi)_2$-quantum field model on the two-dimensional torus.
J. Dubédat and H. Shen: Stochastic Ricci flow on compact surfaces
1904
Earlier work this paper cites.
G. Da Prato and A. Debussche: Strong solutions to the stochastic quantization equations
1916
Earlier work this paper cites.
R. Høegh-Krohn: A general class of quantum fields without cut-offs in two space-time dimensions
1971
Earlier work this paper cites.
S. Albeverio and R. Høegh-Krohn: Uniqueness of the physical vacuum and the Wightman functions in the infinite volume limit for some non-polynomial interactions
1973
Earlier work this paper cites.
S. Albeverio and R. Høegh-Krohn: The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time
1974
Earlier work this paper cites.
B. Simon: The P ( ϕ ) 2 P(\phi)_{2} Euclidean (Quantum) Field Theory, Princeton Series in Physics, Princeton University Press, Princeton, N.J., 1974
1974
Earlier work this paper cites.
J. Fröhlich: Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems
1976
Earlier work this paper cites.
J. Fröhlich and E. Seiler: The massive Thirring-Schwinger model (QED2): convergence of perturbation theory and particle structure
1976
Earlier work this paper cites.
J. Fröhlich and Y.M. Park: Remarks on exponential interactions and the quantum sine-Gordon equation in two space-time dimensions
1977
Earlier work this paper cites.
S. Albeverio and R. Høegh-Krohn: Uniqueness of the global Markov property for Euclidean fields. The case of trigonometric interactions
1979
Earlier work this paper cites.
G. Benfatto, G. Gallavotti and F. Nicoló: On the massive sine-Gordon equation in the first few regions of collapse
1982
Earlier work this paper cites.
J.-P. Kahane: Sur le chaos multiplicatif
1985
Earlier work this paper cites.
J. Glimm and A. Jaffe: Quantum Physics: A Functional Integral Point of View, Springer, Berlin, 1986
1986
Earlier work this paper cites.
J. Simon: Compact sets in the space L p ( 0 , T , B ) L^{p}(0,T;B)
1987
Earlier work this paper cites.
H. Triebel: Characterizations of Besov-Hardy-Sobolev spaces: a unified approach
1988
Earlier work this paper cites.
S. Albeverio and M. Röckner: Classical Dirichlet forms on topological vector spaces—closability and a Cameron-Martin formula
1990
Earlier work this paper cites.
S. Albeverio and M. Röckner: Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
1991
Earlier work this paper cites.
G. Da Prato and J. Zabczyk: Stochastic Equations in Infinite Dimensions, Encyclopedia of Mathematics and its Applications, Cambridge Univ. Press, Cambridge, UK, 1992
1992
Cited alongside, same era.
S. Kusuoka: Høegh-Krohn’s model of quantum fields and the absolute continuity of measures
1992
Cited alongside, same era.
Z.-M. Ma and M. Röckner: Introduction to the Theory of (Non-Symmetric) Dirichlet Forms, Springer-Verlag, Berlin-Heidelberg-New York, 1992
1992
Cited alongside, same era.
J. Dimock and T.R. Hurd: Construction of the two-dimensional sine-Gordon model for β < 8 π \beta<8\pi
1993
Cited alongside, same era.
A.-S. Kechris: Classical Descriptive Set Theory, Graduate Texts in Mathematics, volume 156. Springer-Verlag, New York, 1995
1995
Cited alongside, same era.
R. Rhodes and V. Vargas: Gaussian multiplicative chaos and applications: A review
2014
Later among the works it cites.
S. Albeverio, Z.-M. Ma and M. Röckner: Quasi regular Dirichlet forms and the stochastic quantization problem
2015
Later among the works it cites.
M. Gubinelli, P. Imkeller and N. Perkowski: Paracontrolled distributions and singular PDEs
2015
Later among the works it cites.
M. Hairer and H. Shen: The dynamical Sine-Gordon model
2016
Later among the works it cites.
N. Berestycki: An elementary approach to Gaussian multiplicative chaos
2017
Later among the works it cites.
M. Hairer and C. Labbé: The reconstruction theorem in Besov spaces
2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
G. Da Prato and J. Zabczyk: Ergodicity for infinite-dimensional systems, London Mathematical Society Lecture Note Series, volume 229. Cambridge University Press, Cambridge, 1996
1996
Cited alongside, same era.
E.H. Lieb and M. Loss: Analysis, Graduate Studies in Mathematics, volume 14. American Mathematical Society, Providence, RI, 2nd edition, 2001
2001
Cited alongside, same era.
H. Kozono, T. Ogawa and Y. Taniuchi: Navier-Stokes equations in the Besov space near L ∞ L^{\infty} and B M O BMO
2003
Cited alongside, same era.
S. Albeverio, H. Kawabi, S.-R. Mihalache and M. Röckner: Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus
2004
Cited alongside, same era.
2004
Cited alongside, same era.
M. Ondreját: Uniqueness for stochastic evolution equations in Banach spaces
2004
Cited alongside, same era.
R. Robert and V. Vargas: Gaussian multiplicative chaos revisited
2010
Cited alongside, same era.
J. Junnila and E. Saksman: Uniqueness of critical Gaussian chaos
2017
Later among the works it cites.
J.-C. Mourrat and H. Weber: Global well-posedness of the dynamic Φ 4 \Phi^{4} model in the plane
2017
Later among the works it cites.
A. Chandra, M. Hairer and H. Shen: The dynamical sine-Gordon model in the full subcritical regime
2018
Later among the works it cites.
S. Albeverio and Sei. Kusuoka: The invariant measure and the flow associated to the Φ 3 4 \Phi^{4}_{3} -quantum field model
2020
Closest in time.
M. Biskup: Extrema of the two-dimensional discrete Gaussian free field
2020
Closest in time.
C. Garban: Dynamical Liouville
2020
Closest in time.
S. Albeverio, F.C. De Vecchi and M. Gubinelli: The elliptic stochastic quantization of some two dimensional Euclidean QFTs
2021
Closest in time.
N. Berestycki and E. Powell: Gaussian free field, Liouville quantum gravity and Gaussian multiplicative chaos
2021
Closest in time.
M. Hoshino, H. Kawabi and Sei. Kusuoka: Stochastic quantization associated with the exp ( Φ ) 2 \exp(\Phi)_{2} -quantum field model driven by space-time white noise on the torus
2021
Closest in time.
T. Oh, T. Robert and Y. Wang: On the parabolic and hyperbolic Liouville equations
2021
Closest in time.