Peter K. Friz Martin Hairer With an Introduction to Regularity Structures Second Edition
Page 1 Universitext Peter K. Friz Martin Hairer A Course on Rough Paths With an …

We analyze the one-dimensional periodic Kardar–Parisi–Zhang equation in the language of
paracontrolled distributions, giving an alternative viewpoint on the seminal results of Hairer …

We provide a relatively compact proof of the BPHZ theorem for regularity structures of
decorated trees in the case where the driving noise satisfies a suitable spectral gap …

In this paper, we explore the version of Hairer's regularity structures based on a greedier
index set than trees, as introduced in (Otto et al. in A priori bounds for quasi-linear SPDEs in …

The Kardar–Parisi–Zhang (KPZ) equation is conjectured to universally describe the
fluctuations of weakly asymmetric interface growth. Here we provide the first intrinsic well …

We show that the Markov semigroups generated by a large class of singular stochastic
PDEs satisfy the strong Feller property. These include for example the KPZ equation and the …

We study in the present article the Kardar–Parisi–Zhang (KPZ) equation ∂ _t h (t, x)= ν Δ h
(t, x)+ λ| ∇ h (t, x)|^ 2+ D\, η (t, x),\qquad (t, x) ∈ R _+ * R^ d∂ th (t, x)= ν Δ h (t, x)+ λ|∇ h (t …

We present a new methodology to analyze large classes of (classical and rough) stochastic
volatility models, with special regard to short-time and small noise formulae for option prices …

We consider a broad class of semilinear SPDEs with multiplicative noise driven by a finite-
dimensional Wiener process. We show that, provided that an infinite-dimensional analogue …

The theory of regularity structures [9] sets up an abstract framework of modelled distributions
generalising the usual Hölder functions and allowing one to give a meaning to several ill …