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Invariant Manifolds for Random Parabolic Evolution Equations with almost sectorial operators

Autor: Varzaneh, M. Ghani, Lahbiri, F. Z., Riedel, S.

In this paper, we develop a way of analyzing the random dynamics of stochastic evolution equations with a non-dense domain. Such problems cover several types of evolution equations. We are particularly interested in evolution equations with non-homog

Externí odkaz: http://arxiv.org/abs/2410.19509

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Stochastic Control with Signatures

Autor: Bank, P., Bayer, C., Hager, P. P., Riedel, S., Nauen, T.

This paper proposes to parameterize open loop controls in stochastic optimal control problems via suitable classes of functionals depending on the driver's path signature, a concept adopted from rough path integration theory. We rigorously prove that

Externí odkaz: http://arxiv.org/abs/2406.01585

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Akademický článek

Sportmedizin im Wandel

Autor: Ketelhut SR, Ketelhut S, Riedel S, Willich S, Meyer-Sabellek W, Müssig K, Ketelhut K

Publikováno v: Deutsche Zeitschrift für Sportmedizin, Vol 68, Iss 11 (2017)

Objective: Assessment of heart rate variability (HRV) is increasingly used to evaluate dynamic features of cardiovascular (cv) control mechanisms and offers a unique insight into autonomic cv modulation in health and diseases. Regular exercise is kno

Externí odkaz: https://doaj.org/article/360846fa5b964a4abc7b316575f59de0

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Akademický článek

An integrable bound for rough stochastic partial differential equations with applications to invariant manifolds and stability

Autor: Ghani Varzaneh, M., Riedel, S.

Publikováno v: In Journal of Functional Analysis 1 January 2025 288(1)

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Akademický článek

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Rough flows

Autor: Bailleul, I., Riedel, S.

We introduce in this work a concept of rough driver that somehow provides a rough path-like analogue of an enriched object associated with time-dependent vector fields. We use the machinery of approximate flows to build the integration theory of roug

Externí odkaz: http://arxiv.org/abs/1505.01692

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