We construct renormalised models of regularity structures by using a recursive formulation for the structure group and for the renormalisation group. This construction covers all the examples of singular SPDEs which have been treated so far with the theory of regularity structures and improves the renormalisation procedure based on Hopf algebras given in [BHZ16].Comment: Stochastics and Partial Differential Equations: Analysis and Computations, December 2018, Volume 6, Issue 4, pp 525-56
This thesis is concerned with a solution theory for quasilinear singular stochastic partial differe...
A paraitre dans Inventiones MathematicaeWe give a systematic description of a canonical renormalisat...
In this paper, we explore the version of Hairer's regularity structures based on a greedier index se...
In this work, we translate at the level of decorated trees some of the crucial arguments which have ...
We provide an algebraic framework to describe renormalization in regularity structures based on mult...
We give a systematic description of a canonical renormalisation procedure of stochastic PDEs contain...
We give a systematic description of a canonical renormalisation procedure of stochastic PDEs contain...
The formalism recently introduced in arXiv:1610.08468 allows one to assign a regularity structure, a...
The formalism recently introduced in arXiv:1610.08468 allows one to assign a regularity structure, a...
We consider the approach to regularity structures introduced by Otto, Sauer, Smith and Weber to obta...
We give a systematic description of a canonical renormalisation procedure of stochastic PDEs contain...
We consider the approach to regularity structures introduced by Otto, Sauer, Smith and Weber to obta...
Branched rough paths, used to solve ODEs on $\mathbb{R}$, have been generalised in two different dir...
The formalism recently introduced in [BHZ19] allows one to assign a regularity structure, as well as...
This thesis is concerned with a solution theory for quasilinear singular stochastic partial differe...
This thesis is concerned with a solution theory for quasilinear singular stochastic partial differe...
A paraitre dans Inventiones MathematicaeWe give a systematic description of a canonical renormalisat...
In this paper, we explore the version of Hairer's regularity structures based on a greedier index se...
In this work, we translate at the level of decorated trees some of the crucial arguments which have ...
We provide an algebraic framework to describe renormalization in regularity structures based on mult...
We give a systematic description of a canonical renormalisation procedure of stochastic PDEs contain...
We give a systematic description of a canonical renormalisation procedure of stochastic PDEs contain...
The formalism recently introduced in arXiv:1610.08468 allows one to assign a regularity structure, a...
The formalism recently introduced in arXiv:1610.08468 allows one to assign a regularity structure, a...
We consider the approach to regularity structures introduced by Otto, Sauer, Smith and Weber to obta...
We give a systematic description of a canonical renormalisation procedure of stochastic PDEs contain...
We consider the approach to regularity structures introduced by Otto, Sauer, Smith and Weber to obta...
Branched rough paths, used to solve ODEs on $\mathbb{R}$, have been generalised in two different dir...
The formalism recently introduced in [BHZ19] allows one to assign a regularity structure, as well as...
This thesis is concerned with a solution theory for quasilinear singular stochastic partial differe...
This thesis is concerned with a solution theory for quasilinear singular stochastic partial differe...
A paraitre dans Inventiones MathematicaeWe give a systematic description of a canonical renormalisat...
In this paper, we explore the version of Hairer's regularity structures based on a greedier index se...