Results 161 to 170 of about 398,973 (330)

Commutative families in DIM algebra, integrable many-body systems and q, t matrix models

open access: yesJournal of High Energy Physics
We extend our consideration of commutative subalgebras (rays) in different representations of the W 1+∞ algebra to the elliptic Hall algebra (or, equivalently, to the Ding-Iohara-Miki (DIM) algebra U q , t gl ̂ ̂ 1 $$ {U}_{q,t}\left({\hat{\hat{\mathfrak ...
A. Mironov, A. Morozov, A. Popolitov
doaj   +1 more source

Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract Recently, a class of algorithms combining classical fixed‐point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as 10108×10108$10^{108} \times 10^{108}$. So far, a complete mathematical explanation for this success has proven elusive.
Jonathan Weare, Robert J. Webber
wiley   +1 more source

Representations of Alternative Algebras [PDF]

open access: yesTransactions of the American Mathematical Society, 1952
openaire   +3 more sources

On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas

open access: yesContributions to Plasma Physics, EarlyView.
ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias   +2 more
wiley   +1 more source

Short Wavelength Limit of the Dynamic Matsubara Local Field Correction

open access: yesContributions to Plasma Physics, EarlyView.
ABSTRACT We investigate the short wavelength limit of the dynamic Matsubara local field correction G˜q,zl$$ \tilde{G}\left(\mathbf{q},{z}_l\right) $$ of the uniform electron gas based on direct ab initio path integral Monte Carlo (PIMC) results over an unprecedented range of wavenumbers, q≲20qF$$ q\lesssim 20{q}_{\mathrm{F}} $$, where qF$$ {q}_{\mathrm{
Tobias Dornheim   +3 more
wiley   +1 more source

Dynamic Properties of the Warm Dense Uniform Electron Gas With the qSTLS Dielectric Scheme

open access: yesContributions to Plasma Physics, EarlyView.
ABSTRACT The recently derived Fourier–Matsubara expansion of imaginary–time correlation functions comprises an exact result of linear response theory for finite‐temperature quantum many‐body systems. In its density–density version, the expansion facilitates systematic comparisons between quasi‐exact ab initio path integral Monte Carlo simulations and ...
Panagiotis Tolias   +3 more
wiley   +1 more source

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