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pro vyhledávání: '"Nadeem, Usama"'
We derive the renormalised equation for the quasi-generalised KPZ equation with space-time white noise. We complement the program initiated by Gerencs\'er and Hairer for solving quasi-linear equations using regularity structures by an algebraic machi
Externí odkaz:
http://arxiv.org/abs/2401.13620
Autor:
Bruned, Yvain, Nadeem, Usama
In this work, we translate at the level of decorated trees some of the crucial arguments which have been used in arXiv:2112.10739 for proposing a diagram-free approach for the convergence of the model in Regularity Structures. This allows us to broad
Externí odkaz:
http://arxiv.org/abs/2211.11428
Reimplementing solutions to previously solved software engineering problems is not only inefficient but also introduces inadequate and error-prone code. Many existing methods achieve impressive performance on this issue by using autoregressive text-g
Externí odkaz:
http://arxiv.org/abs/2210.00328
Autor:
Bruned, Yvain, Nadeem, Usama
In this work, we show a convergence result for the discrete formulation of the generalised KPZ equation $\partial_t u = (\Delta u) + g(u)(\nabla u)^2 + k(\nabla u) + h(u) + f(u)\xi_t(x)$, where the $\xi$ is a real-valued random field, $\Delta$ is the
Externí odkaz:
http://arxiv.org/abs/2207.09946
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