Spectral gap for the stochastic quantization equation on the 2-dimensional torus
P Tsatsoulis, H Weber - 2018 - projecteuclid.org
We study the long time behavior of the stochastic quantization equation. Extending recent
results by Mourrat and Weber (Global well-posedness of the dynamic ϕ^4 in the plane …
results by Mourrat and Weber (Global well-posedness of the dynamic ϕ^4 in the plane …
The invariant measure and the flow associated to the -quantum field model
S Albeverio, S Kusuoka - arXiv preprint arXiv:1711.07108, 2017 - arxiv.org
We give a direct construction of invariant measures and global flows for the stochastic
quantization equation to the quantum field theoretical $\Phi^ 4_3 $-model on the $3 …
quantization equation to the quantum field theoretical $\Phi^ 4_3 $-model on the $3 …
[HTML][HTML] The infinitesimal generator of the stochastic Burgers equation
M Gubinelli, N Perkowski - Probability Theory and Related Fields, 2020 - Springer
We develop a martingale approach for a class of singular stochastic PDEs of Burgers type
(including fractional and multi-component Burgers equations) by constructing a domain for …
(including fractional and multi-component Burgers equations) by constructing a domain for …
Convergence of transport noise to Ornstein–Uhlenbeck for 2D Euler equations under the enstrophy measure
F Flandoli, D Luo - 2020 - projecteuclid.org
We consider the vorticity form of the 2D Euler equations which is perturbed by a suitable
transport type noise and has white noise initial condition. It is shown that stationary solutions …
transport type noise and has white noise initial condition. It is shown that stationary solutions …
Ergodicity for the stochastic quantization problems on the 2D-torus
In this paper we study the stochastic quantization problem on the two dimensional torus and
establish ergodicity for the solutions. Furthermore, we prove a characterization of the Φ^ 4_2 …
establish ergodicity for the solutions. Furthermore, we prove a characterization of the Φ^ 4_2 …
Stochastic quantization associated with the -quantum field model driven by space-time white noise on the torus
M Hoshino, H Kawabi, S Kusuoka - Journal of Evolution Equations, 2021 - Springer
We consider a quantum field model with exponential interactions on the two-dimensional
torus, which is called the\exp (Φ) _ 2 exp (Φ) 2-quantum field model or Høegh-Krohn's …
torus, which is called the\exp (Φ) _ 2 exp (Φ) 2-quantum field model or Høegh-Krohn's …
Large N limit of the O (N) linear sigma model via stochastic quantization
Large N limit of the O(N) linear sigma model via stochastic quantization Page 1 The Annals of
Probability 2022, Vol. 50, No. 1, 131–202 https://doi.org/10.1214/21-AOP1531 © Institute of …
Probability 2022, Vol. 50, No. 1, 131–202 https://doi.org/10.1214/21-AOP1531 © Institute of …
An SPDE approach to perturbation theory of : asymptoticity and short distance behavior
In this paper we study the perturbation theory of $\Phi^ 4_2 $ model on the whole plane via
stochastic quantization. We use integration by parts formula (ie Dyson-Schwinger equations) …
stochastic quantization. We use integration by parts formula (ie Dyson-Schwinger equations) …
Large limit and expansion of invariant observables in linear -model via SPDE
In this paper, we continue the study of large $ N $ problems for the Wick renormalized linear
sigma model, ie $ N $-component $\Phi^ 4$ model, in two spatial dimensions, using …
sigma model, ie $ N $-component $\Phi^ 4$ model, in two spatial dimensions, using …
A panorama of singular SPDEs
M Gubinelli - Proceedings of the International Congress of …, 2018 - World Scientific
I will review the setting and some of the recent results in the field of singular stochastic
partial differential equations (SSPDEs). Since Hairer's invention of regularity structures this …
partial differential equations (SSPDEs). Since Hairer's invention of regularity structures this …