Results 121 to 130 of about 189,405 (333)
Admissible groups, symmetric factor sets, and simple algebras
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
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Topics in Random Matrix Theory
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
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On the genera of quadratic and hermitian forms over an algebraic number field [PDF]
Vidit Nanda
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
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
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Simple Malcev algebras over fields of characteristic zero [PDF]
Arthur Sagle
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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
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Function algebras over valued fields [PDF]
Bachman, G., Beckenstein, E., Narici, L.
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On generalized uniserial algebras over a perfect field [PDF]
Shigemoto Asano
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On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas
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
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Short Wavelength Limit of the Dynamic Matsubara Local Field Correction
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