Results 21 to 30 of about 8,160 (120)
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
Zeta functions, Grothendieck groups, and the Witt ring
We prove some results connecting the zeta functions of varieties over finite fields with the big Witt ring over $\mathbb Z$. We explore relations with motivic measures and a classical formula of Macdonald on invariants of symmetric products of a variety ...
Ramachandran, Niranjan
core +1 more source
Filtered quasi-Frobenius rings
The main object of this note is to prove that a filtered ringA is quasi-Frobenius, if its associated graded ring E ~ (A) is quasi-Frobenius (Theorem 1). In w 1, we discuss some generalities on quasi-Frobenius rings. In w 2, given a filtered ring A such that F~A=A for some n, we construct an injective, filtered Amodule F* such that E ~ (F*) is E ~ (A ...
openaire +2 more sources
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
MacWilliams' Extension Theorem for Bi-Invariant Weights over Finite Principal Ideal Rings [PDF]
A finite ring R and a weight w on R satisfy the Extension Property if every R-linear w-isometry between two R-linear codes in R^n extends to a monomial transformation of R^n that preserves w.
Fadden, Cathy Mc +4 more
core
Are biseparable extensions Frobenius?
In Secion~1 we describe what is known of the extent to which a separable extension of unital associative rings is a Frobenius extension. A problem of this kind is suggested by asking if three algebraic axioms for finite Jones index subfactors are ...
Caenepeel, S., Kadison, Lars
core +2 more sources
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
Higher displays arising from filtered de Rham-Witt complexes [PDF]
For a smooth projective scheme $X$ over a ring $R$ on which $p$ is nilpotent that meets some general assumptions we prove that the crystalline cohomology is equipped with the structure of a higher display which is a relative version of Fontaine's ...
Gregory, Oliver, Langer, Andreas
core +1 more source
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
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

