Results 121 to 130 of about 189,405 (333)

Admissible groups, symmetric factor sets, and simple algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
Let K be a field of characteristic zero and suppose that D is a K-division algebra; i.e. a finite dimensional division algebra over K with center K. In Mollin [1] we proved that if K contains no non-trivial odd order roots of unity, then every finite odd
R. A. Mollin
doaj   +1 more source

Topics in Random Matrix Theory

open access: yes, 2012
The field of random matrix theory has seen an explosion of activity in recent years, with connections to many areas of mathematics and physics. However, this makes the current state of the field almost too large to survey in a single book.
T. Tao
semanticscholar   +1 more source

Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun   +2 more
wiley   +1 more source

Function algebras over valued fields [PDF]

open access: yesPacific Journal of Mathematics, 1973
Bachman, G., Beckenstein, E., Narici, L.
openaire   +4 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

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