We construct the Phi(4)(3) measure on a periodic three dimensional box as an absolutely continuous perturbation of a random translation of the Gaussian free field. The shifted measure is constructed via Girsanov's theorem and the relevant filtration is the one generated by a scale parameter. As a byproduct we give a self-contained proof that the Phi(4)(3) measure is singular wrt. the Gaussian free field.Peer reviewe
International audienceWe construct the $\phi^4_3$ measure on an arbitrary $3$-dimensional compact Ri...
International audienceWe consider an Euclidean supersymmetric field theory in $\math{Z}^{3}$ given b...
AbstractFor a d-dimensional random field X(t) define the occupation measure corresponding to the lev...
The $\Phi^4_3$ measure is one of the easiest non-trivial examples of a Euclidean quantum field theor...
Gubinelli M, Hofmanová M. PDE construction of the Euclidean Φ 4 3 quantum field theory. 2018
We establish a coupling between the $\mathcal{P}(\phi)_2$ measure and the Gaussian free field on the...
We prove that a random distribution in two dimensions which is conformally invariant and satisfies ...
Gubinelli M, Hofmanová M. A PDE Construction of the Euclidean Phi(4)(3) Quantum Field Theory. Commun...
We present a construction of non-Gaussian Borel measures on the space of continuous functions define...
We prove an a priori bound for the dynamic $\Phi^4_3$ model on the torus wich is independent of the ...
We show that there is “no stable free field of index α ∈ ( 1 , 2 ) ”, in the following sens...
Gaussian Multiplicative Chaos is a way to produce a measure on R[superscript d] (or subdomain of R[s...
The study of random Fourier series, linear combinations of trigonometric functions whose coefficient...
AbstractWe consider the renormalized or Wick square of the free quantum field, which is well-defined...
In this paper, we give a rigorous proof of the renormalizability of the massive $\phi_4^4$ theory on...
International audienceWe construct the $\phi^4_3$ measure on an arbitrary $3$-dimensional compact Ri...
International audienceWe consider an Euclidean supersymmetric field theory in $\math{Z}^{3}$ given b...
AbstractFor a d-dimensional random field X(t) define the occupation measure corresponding to the lev...
The $\Phi^4_3$ measure is one of the easiest non-trivial examples of a Euclidean quantum field theor...
Gubinelli M, Hofmanová M. PDE construction of the Euclidean Φ 4 3 quantum field theory. 2018
We establish a coupling between the $\mathcal{P}(\phi)_2$ measure and the Gaussian free field on the...
We prove that a random distribution in two dimensions which is conformally invariant and satisfies ...
Gubinelli M, Hofmanová M. A PDE Construction of the Euclidean Phi(4)(3) Quantum Field Theory. Commun...
We present a construction of non-Gaussian Borel measures on the space of continuous functions define...
We prove an a priori bound for the dynamic $\Phi^4_3$ model on the torus wich is independent of the ...
We show that there is “no stable free field of index α ∈ ( 1 , 2 ) ”, in the following sens...
Gaussian Multiplicative Chaos is a way to produce a measure on R[superscript d] (or subdomain of R[s...
The study of random Fourier series, linear combinations of trigonometric functions whose coefficient...
AbstractWe consider the renormalized or Wick square of the free quantum field, which is well-defined...
In this paper, we give a rigorous proof of the renormalizability of the massive $\phi_4^4$ theory on...
International audienceWe construct the $\phi^4_3$ measure on an arbitrary $3$-dimensional compact Ri...
International audienceWe consider an Euclidean supersymmetric field theory in $\math{Z}^{3}$ given b...
AbstractFor a d-dimensional random field X(t) define the occupation measure corresponding to the lev...