Zobrazeno 1 - 10
of 24 349
pro vyhledávání: '"complex eigenvalues"'
Autor:
Crumpton, Mark J., Würfel, Tim R.
We consider the density of complex eigenvalues, $\rho(z)$, and the associated mean eigenvector self-overlaps, $\mathcal{O}(z)$, at the spectral edge of $N \times N$ real and complex elliptic Ginibre matrices, as $N \to \infty$. Two different regimes
Externí odkaz:
http://arxiv.org/abs/2405.02103
Autor:
Dubova, Sofiia, Yang, Kevin
We consider an ensemble of non-Hermitian matrices with independent identically distributed real entries that have finite moments. We show that its $k$-point correlation function in the bulk away from the real line converges to a universal limit.
Externí odkaz:
http://arxiv.org/abs/2402.10197
Publikováno v:
Vetor, Vol 34, Iss 1 (2024)
When using spectral nodal methods in the solution of fixed-source problems, one of the steps involves obtaining the intranodal homogeneous solution of the neutron transport equations in the discrete ordinates formulation (SN), where an eigenvalue pro
Externí odkaz:
https://doaj.org/article/914b24be45b549fcbd10f70ec471e21a
Akademický článek
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Autor:
Fyodorov, Yan V.
In an absorptive system the Wigner reaction $K-$matrix (directly related to the impedance matrix in acoustic or electromagnetic wave scattering) is non-selfadjoint, hence its eigenvalues are complex. The most interesting regime arises when the absorp
Externí odkaz:
http://arxiv.org/abs/2308.05682
Deep neural networks based on linear RNNs interleaved with position-wise MLPs are gaining traction as competitive approaches for sequence modeling. Examples of such architectures include state-space models (SSMs) like S4, LRU, and Mamba: recently pro
Externí odkaz:
http://arxiv.org/abs/2307.11888
We establish a central limit theorem for the eigenvalue counting function of a matrix of real Gaussian random variables.
Comment: 15 pages. To appear in Electronic Communications in Probability
Comment: 15 pages. To appear in Electronic Communications in Probability
Externí odkaz:
http://arxiv.org/abs/2306.10243
Akademický článek
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Autor:
Arratia, Cristobal
For any real diagonalizable matrix with complex eigenvalues we provide a real, coordinate free decomposition with a clear geometric interpretation.
Externí odkaz:
http://arxiv.org/abs/2208.12746
The Robust Perron Cluster Analysis (PCCA+) has become a popular spectral clustering algorithm for coarse-graining transition matrices of nearly decomposable Markov chains with transition states. Originally developed for reversible Markov chains, the
Externí odkaz:
http://arxiv.org/abs/2206.14537