Zobrazeno 1 - 10
of 81 580
pro vyhledávání: '"Christof, A."'
Autor:
Wetterich, Christof
We propose that physical time is based on counting the oscillations of wave functions. The discrete counting of the ticks of these clocks does not depend on the metric frame. It remains well defined for the beginning epochs of the universe. The photo
Externí odkaz:
http://arxiv.org/abs/2408.01524
Autor:
Holzer, Christof, Franzke, Yannick J.
Density functional theory has become the workhorse of quantum physics, chemistry, and materials science. Within these fields, a broad range of applications needs to be covered. These applications range from solids to molecular systems, from organic t
Externí odkaz:
http://arxiv.org/abs/2407.21727
Predicting chaotic dynamical systems is critical in many scientific fields such as weather prediction, but challenging due to the characterizing sensitive dependence on initial conditions. Traditional modeling approaches require extensive domain know
Externí odkaz:
http://arxiv.org/abs/2407.20158
Autor:
Gallivan, Rebecca A., Manser, Julia, Michelini, Ana, Toncich, Nensi, Beldarrain, Nerea Abando, Vockenhuber, Christof, Müller, Arnold, Galinski, Henning
Ternary transition metal nitrides (TMNs) promise to significantly expand the material design space by opening new functionality and enhancing existing properties. However, most systems have only been investigated computationally and limited understan
Externí odkaz:
http://arxiv.org/abs/2407.17653
Autor:
Schötz, Christof, Siebel, Maximilian
We noisily observe solutions of an ordinary differential equation $\dot u = f(u)$ at given times, where $u$ lives in a $d$-dimensional state space. The model function $f$ is unknown and belongs to a H\"older-type smoothness class with parameter $\bet
Externí odkaz:
http://arxiv.org/abs/2407.14993
Autor:
Schötz, Christof
We study nonparametric estimation in dynamical systems described by ordinary differential equations (ODEs). Specifically, we focus on estimating the unknown function $f \colon \mathbb{R}^d \to \mathbb{R}^d$ that governs the system dynamics through th
Externí odkaz:
http://arxiv.org/abs/2407.14989
Autor:
Wehlitz, Nathalie, Sadeghi, Mohsen, Montefusco, Alberto, Schütte, Christof, Pavliotis, Grigorios A., Winkelmann, Stefanie
This work proposes stochastic partial differential equations (SPDEs) as a practical tool to replicate clustering effects of more detailed particle-based dynamics. Inspired by membrane-mediated receptor dynamics on cell surfaces, we formulate a stocha
Externí odkaz:
http://arxiv.org/abs/2407.18952
Autor:
Grass, Tobias, Bercioux, Dario, Bhattacharya, Utso, Lewenstein, Maciej, Nguyen, Hai Son, Weitenberg, Christof
Quantum simulation is making a significant impact on scientific research. The prevailing tendency of the field is to build quantum simulators that get closer to real-world systems of interest, in particular electronic materials. However, progress in
Externí odkaz:
http://arxiv.org/abs/2407.06105
Autor:
Beierle, Christof, Beyne, Tim
Using Stickelberger's theorem on Gauss sums, we show that if $F$ is a planar function on a finite field $\mathbb{F}_q$, then for all non-zero functions $G : \mathbb{F}_q \to \mathbb{F}_q$, we have \begin{equation*} \mathrm{deg } \ G \circ F - \mathrm
Externí odkaz:
http://arxiv.org/abs/2407.04570
Autor:
Wetterich, Christof
If an ultraviolet fixed point renders quantum gravity renormalizable, the effective potential for a singlet scalar field -- the cosmon -- can be computed according to the corresponding scaling solution of the renormalization group equations. We assoc
Externí odkaz:
http://arxiv.org/abs/2407.03465