Zobrazeno 1 - 10
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pro vyhledávání: '"Kremp, A."'
We consider strong approximations of $1+1$-dimensional stochastic PDEs driven by additive space-time white noise. It has been long proposed (Davie-Gaines '01, Jentzen-Kloeden '08), as well as observed in simulations, that approximation schemes based
Externí odkaz:
http://arxiv.org/abs/2406.03058
Transmission matrix measurements of multimode fibers are now routinely performed in numerous labs, enabling control of the electric field at the distal end of the fiber and paving the way for the potential application to ultrathin medical endoscopes
Externí odkaz:
http://arxiv.org/abs/2406.00171
Autor:
Kremp, Helena, Perkowski, Nicolas
We generalize the theory of periodic homogenization for multidimensional SDEs with additive Brownian and stable L\'evy noise for $\alpha\in (1,2)$ to the setting of singular periodic Besov drifts of regularity $\beta\in ((2-2\alpha)/3,0)$ beyond the
Externí odkaz:
http://arxiv.org/abs/2309.16225
Autor:
Kremp, Helena, Perkowski, Nicolas
We introduce a weak solution concept (called "rough weak solutions") for singular SDEs with additive alpha-stable L\'evy noise (including the Brownian noise case) and prove its equivalence to martingale solutions from Kremp, Perkowski '22 in the Youn
Externí odkaz:
http://arxiv.org/abs/2309.15460
Autor:
Kremp, Helena, Perkowski, Nicolas
We consider backward fractional Kolmogorov equations with singular Besov drift of low regularity and singular terminal conditions. To treat drifts beyond the socalled Young regime, we assume an enhancement assumption on the drift and consider paracon
Externí odkaz:
http://arxiv.org/abs/2309.14733
We consider a nonlinear SPDE approximation of the Dean-Kawasaki equation for independent particles. Our approximation satisfies the physical constraints of the particle system, i.e. its solution is a probability measure for all times (preservation of
Externí odkaz:
http://arxiv.org/abs/2212.11714
Autor:
Prost, Flavien, Packer, Ben, Chen, Jilin, Wei, Li, Kremp, Pierre, Blumm, Nicholas, Wang, Susan, Doshi, Tulsee, Osadebe, Tonia, Heldt, Lukasz, Chi, Ed H., Beutel, Alex
There has been a flurry of research in recent years on notions of fairness in ranking and recommender systems, particularly on how to evaluate if a recommender allocates exposure equally across groups of relevant items (also known as provider fairnes
Externí odkaz:
http://arxiv.org/abs/2210.07755
Autor:
Alexandra Schmidt, Juliane Romahn, Elinor Andrén, Anke Kremp, Jérôme Kaiser, Helge W. Arz, Olaf Dellwig, Miklós Bálint, Laura S. Epp
Publikováno v:
Ecological Indicators, Vol 166, Iss , Pp 112494- (2024)
Marginal sea ecosystems, such as the Baltic Sea, are severely affected by anthropogenic pressures, such as climate warming, pollution, and eutrophication, which increased in the course of the past century. Biodiversity monitoring data and assessment
Externí odkaz:
https://doaj.org/article/b89cb0c46fdd4973b3062ffaa0db6d61
In this paper, we study different scaling rough path limit regimes in space and time for the Langevin dynamics on a quasi-planar fluctuating Helfrich surfaces. The convergence results of the processes were already proven in the work by Duncan, Elliot
Externí odkaz:
http://arxiv.org/abs/2207.06395
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-13 (2024)
Abstract Protists make up the vast diversity of eukaryotic life and play a critical role in biogeochemical cycling and in food webs. Because of their small size, cryptic life cycles, and large population sizes, our understanding of speciation in thes
Externí odkaz:
https://doaj.org/article/f0b6af326c564cdaa8b7a239ec9849f8