Zobrazeno 1 - 10
of 86 697
pro vyhledávání: '"Christiansen, A A"'
Autor:
Christiansen, Thomas, Grunert, Katrin
We prove that $\alpha$-dissipative solutions to the Cauchy problem of the Hunter-Saxton equation, where $\alpha \in W^{1, \infty}(\mathbb{R}, [0, 1))$, can be computed numerically with order $\mathcal{O}(\Delta x^{{1}/{8}}+\Delta x^{{\beta}/{4}})$ in
Externí odkaz:
http://arxiv.org/abs/2411.07712
This paper introduces a novel approach to the Quantum Approximate Optimization Algorithm (QAOA), specifically tailored to the knapsack problem. We combine the recently proposed quantum tree generator as an efficient state preparation circuit for all
Externí odkaz:
http://arxiv.org/abs/2411.00518
Autor:
Benton, Joe, Wagner, Misha, Christiansen, Eric, Anil, Cem, Perez, Ethan, Srivastav, Jai, Durmus, Esin, Ganguli, Deep, Kravec, Shauna, Shlegeris, Buck, Kaplan, Jared, Karnofsky, Holden, Hubinger, Evan, Grosse, Roger, Bowman, Samuel R., Duvenaud, David
Sufficiently capable models could subvert human oversight and decision-making in important contexts. For example, in the context of AI development, models could covertly sabotage efforts to evaluate their own dangerous capabilities, to monitor their
Externí odkaz:
http://arxiv.org/abs/2410.21514
Topology optimization has matured to become a powerful engineering design tool that is capable of designing extraordinary structures and materials taking into account various physical phenomena. Despite the method's great advancements in recent years
Externí odkaz:
http://arxiv.org/abs/2410.20375
Precise spatial manipulation of particles via optical forces is essential in many research areas, ranging from biophysics to atomic physics. Central to this effort is the challenge of designing optical systems that are optimized for specific applicat
Externí odkaz:
http://arxiv.org/abs/2410.20009
Autor:
Arslan, Janan, Azimi, Sepinoud, Sami, Lina, Ajili, Farah, Domingues, Daniela, Akpinar, Deniz, Christiansen, Læke Vinther, Zujovic, Violetta, Benke, Kurt K.
There has been a long history of women innovators producing outstanding contributions to society and public benefit yet having their work passed over or sidelined or attributed to male colleagues. This phenomenon has been coined the Matilda Effect. T
Externí odkaz:
http://arxiv.org/abs/2411.08038
Autor:
Christiansen, H. R., Lima, R. M.
Publikováno v:
Physica B: Condensed Matter 695 (2024) 416564
In-medium effective carriers with position-dependent mass in a multishell heterostructure are analytically studied. We obtain the exact spectrum of three-dimensional bound eigenstates and the scattering wave-functions for several von Roos ordering cl
Externí odkaz:
http://arxiv.org/abs/2410.05518
Annual North Atlantic tropical cyclone (TC) counts are frequently modeled as a Poisson process with a state-dependent rate. We provide a lower bound on the forecasting error of this class of models. Remarkably we find that this bound is already satur
Externí odkaz:
http://arxiv.org/abs/2410.05503
Autor:
Christiansen, Thomas
We derive a robust error estimate for a recently proposed numerical method for $\alpha$-dissipative solutions of the Hunter-Saxton equation, where $\alpha \in [0, 1]$. In particular, if the following two conditions hold: i) there exist a constant $C
Externí odkaz:
http://arxiv.org/abs/2409.18903
Autor:
Bierlich, Christian, Christiansen, Peter, Gustafson, Gösta, Lönnblad, Leif, Törnkvist, Robin, Zapp, Korinna
In collisions between heavy nuclei, such as those at the Large Hadron Collider (LHC) at CERN, hydrodynamic models have successfully related measured azimuthal momentum anisotropies to the transverse shape of the collision region. For an elliptically
Externí odkaz:
http://arxiv.org/abs/2409.16093