Results 31 to 40 of about 5,492 (174)
The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley +1 more source
ABSTRACT The Duffing oscillator is often considered as “the” prototype of a nonlinear oscillator as it exhibits many characteristic phenomena of nonlinear dynamics. One of these phenomena is the occurrence of multiple periodic solutions as considered here for the case of the harmonically excited slightly damped Duffing oscillator.
Hannes Dänschel +3 more
wiley +1 more source
Abstract Volcanic calderas are large depressions formed by the rapid collapse of overlying rock into a magma chamber during eruptions. We utilize Smoothed Particle Hydrodynamics (SPH), a continuum, meshfree numerical method, to study the 2018 caldera collapse at Kīlauea volcano in Hawaii.
Enrique M. del Castillo, Paul Segall
wiley +1 more source
TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS
Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
core +1 more source
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
Frobenius templicial modules and the dg-nerve
Templicial objects were put forth in arXiv:2302.02484v2 to set up a suitable simplicial framework for enriched quasi-categories. Following Leinster, these objects feature certain comultiplications as a replacement for outer face maps in the non-cartesian
Lowen, Wendy, Mertens, Arne
core
Tensor Hypercontraction Error Correction Using Regression
The combination of tensor hypercontraction with machine learning bridges the gap between accuracy and computational efficiency through scaling reduction. ABSTRACT Wavefunction‐based quantum methods are some of the most accurate tools for predicting and analyzing the electronic structure of molecules, in particular for accounting for dynamical electron ...
Ishna Satyarth +2 more
wiley +1 more source
A well-known result of Utumi asserts that a two-sided continuous two-sided artinian ring is quasi-Frobenius. In this paper we extend Utumi’s result to quasi-continuous rings.
M. F. Yousif, W. K. Nicholson
core +1 more source
Understanding Decoherence of the Boron Vacancy Center in Hexagonal Boron Nitride
State‐of‐the‐art computations unravel the intricate decoherence dynamics of the boron vacancy center in hexagonal boron nitride across magnetic fields from 0 to 3 T. Five distinct regimes emerge, dominated by nuclear spin interactions, revealing optimal coherence times of 1–20 µs in the 180–350 mT range for isotopically pure samples.
András Tárkányi, Viktor Ivády
wiley +1 more source
Photonic Unitary Circuits for Quantum Information Processing
Unitary transformations are the cornerstone of quantum computing, enabling reversible manipulation of quantum states. This review evaluates photonic waveguide architectures as an evolving solution for quantum computing, exploiting the unique properties of photons. It investigates current theoretical frameworks, material platforms, and design strategies.
Kevin Zelaya +6 more
wiley +1 more source

