Zobrazeno 1 - 10
of 54 126
pro vyhledávání: '"A, Fiedler"'
The transition to electric vehicles (EVs), coupled with the rise of renewable energy sources, will significantly impact the electric grid. Unlike conventional fuel sources, electricity for EVs is constrained by grid capacity, price fluctuations, and
Externí odkaz:
http://arxiv.org/abs/2410.05538
Autor:
Fiedler, Bernold
In the present paper, the simplest scalar ODE case is studied for polynomials $$ \dot{w}=f(w)=(w-e_0)\cdot\ldots\cdot(w-e_{d-1}) $$ of degree $d$ with $d$ simple complex zeros. The explicit solution by separation of variables and explicit integration
Externí odkaz:
http://arxiv.org/abs/2410.05043
Autor:
Schembera, Björn, Wübbeling, Frank, Kleikamp, Hendrik, Schmidt, Burkhard, Shehu, Aurela, Reidelbach, Marco, Biedinger, Christine, Fiedler, Jochen, Koprucki, Thomas, Iglezakis, Dorothea, Göddeke, Dominik
Mathematical models and algorithms are an essential part of mathematical research data, as they are epistemically grounding numerical data. In order to represent models and algorithms as well as their relationship semantically to make this research d
Externí odkaz:
http://arxiv.org/abs/2408.10003
Autor:
Fiedler, Jacob B., Stull, D. M.
In this paper, we give improved bounds on the Hausdorff dimension of pinned distance sets of planar sets with dimension strictly less than one. As the planar set becomes more regular (i.e., the Hausdorff and packing dimension become closer), our lowe
Externí odkaz:
http://arxiv.org/abs/2408.00889
Autor:
Osestad, Eivind Kristen, Zossimova, Ekaterina, Walter, Michael, Holst, Bodil, Fiedler, Johannes
Fabricating patterned nanostructures with matter waves can help to realise new nanophotonic devices. However, due to dispersion effects, designing patterns with nanoscale features is challenging. Here, we consider the propagation of a helium matter w
Externí odkaz:
http://arxiv.org/abs/2406.16543
This article is a study guide for ``On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane" by Orponen and Shmerkin. We begin by introducing Furstenberg set problem and exceptional set of projections and provide a summ
Externí odkaz:
http://arxiv.org/abs/2406.04580
We present a model of a novel measurement scheme to detect small amounts of a gas species via the ground-state fluctuations of the electromagnetic field (dispersion forces) depending on the entire spectral properties of all objects. Here, we describe
Externí odkaz:
http://arxiv.org/abs/2405.06259
Carbon quantum dots have become attractive in various applications, such as drug delivery, biological sensing, photocatalysis, and solar cells. Among these, pH sensing via luminescence lifetime measurements of surface-functionalised carbon dots is on
Externí odkaz:
http://arxiv.org/abs/2406.00003
Advanced driver assistance systems (ADAS) relying on multiple cameras are increasingly prevalent in vehicle technology. Yet, conventional imaging sensors struggle to capture clear images in conditions with intense illumination contrast, such as tunne
Externí odkaz:
http://arxiv.org/abs/2405.05016
Let $E \subseteq \mathbb{R}^n$ be a union of line segments and $F \subseteq \mathbb{R}^n$ the set obtained from $E$ by extending each line segment in $E$ to a full line. Keleti's line segment extension conjecture posits that the Hausdorff dimension o
Externí odkaz:
http://arxiv.org/abs/2404.16315