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pro vyhledávání: '"Tempelmayr, Markus"'
Malliavin calculus provides a characterization of the centered model in regularity structures that is stable under removing the small-scale cut-off. In conjunction with a spectral gap inequality, it yields the stochastic estimates of the model. This
Externí odkaz:
http://arxiv.org/abs/2401.05935
Autor:
Tempelmayr, Markus
This thesis is concerned with a solution theory for quasilinear singular stochastic partial differential equations. We approach the theory of regularity structures, a tool to tackle singular stochastic PDEs, from a new perspective which is well suite
Externí odkaz:
https://ul.qucosa.de/id/qucosa%3A87027
https://ul.qucosa.de/api/qucosa%3A87027/attachment/ATT-0/
https://ul.qucosa.de/api/qucosa%3A87027/attachment/ATT-0/
We construct and derive uniform stochastic estimates on the renormalised model for a class of fourth-order conservative quasilinear singular SPDEs in arbitrary dimension $d\geq 1$ and in the full subcritical regime of noise regularity. The prototype
Externí odkaz:
http://arxiv.org/abs/2309.15829
Autor:
Tempelmayr, Markus
We give a novel characterization of the centered model in regularity structures which persists for rough drivers even as a mollification fades away. We present our result for a class of quasilinear equations driven by noise, however we believe that t
Externí odkaz:
http://arxiv.org/abs/2303.18192
These lecture notes are intended as reader's digest of recent work on a diagram-free approach to the renormalized centered model in Hairer's regularity structures. More precisely, it is about the stochastic estimates of the centered model, based on M
Externí odkaz:
http://arxiv.org/abs/2301.00778
In this paper, we explore the version of Hairer's regularity structures based on a greedier index set than trees, as introduced by Otto, Sauer, Smith and Weber. More precisely, we construct and stochastically estimate the renormalized model avoiding
Externí odkaz:
http://arxiv.org/abs/2112.10739
Publikováno v:
Comm. Amer. Math. Soc. 3 (2023), 1-64
We consider the approach of replacing trees by multi-indices as an index set of the abstract model space $\mathsf{T}$ introduced by Otto, Sauer, Smith and Weber to tackle quasi-linear singular SPDEs. We show that this approach is consistent with the
Externí odkaz:
http://arxiv.org/abs/2103.04187
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Autor:
Tempelmayr, Markus
In this thesis we study the sharp asymptotic behavior of perturbations of Gaussian measures on infinite dimensional spaces. We first introduce Gaussian measures on fractional Sobolev spaces over the d-dimensional torus. Depending on the space dimensi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c3054e9b25d98b7d992c04168f6957b