منابع مشابه
MAE200A – Fall 2012 Notes on Generalized Eigen-vectors
The goal of these notes is to further clarify the notion of generalized eigenvector, showing they “naturally” arise from a discrepency between the geometric and algebraic multiplicities of an eigen-value and form a “chain” of vectors that results in the structure of a Jordan block. This also leads us to a useful characterization of these vectors in terms of null spaces, and hopefully, clarify t...
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We map the Eigen model of biological evolution [Naturwissenschaften 58, 465 (1971)] into a quantum spin model with non-Hermitian Hamiltonian. Based on such a connection, we derive exact relaxation periods for the Eigen model to approach static energy landscape from various initial conditions. We also study a simple case of dynamic fitness function.
متن کاملOn the Polynomial and Exponential Decay of Eigen-Vectors of Generalized Time-Harmonic Maxwell Problems
We prove polynomial and exponential decay at infinity of eigen-vectors of partial differential operators related to radiation problems for time-harmonic generalized Maxwell systems in an exterior domain Ω ⊂ RN , N ≥ 1, with non-smooth inhomogeneous, anisotropic coefficients converging near infinity with a rate r−τ , τ > 1, towards the identity. As a canonical application we show that the corres...
متن کاملPolynomial and Exponential Decay of Eigen-Vectors of Generalized Time-Harmonic Maxwell Problems
We prove polynomial and exponential decay at infinity of eigen-vectors of partial differential operators related to radiation problems for time-harmonic generalized Maxwell systems in an exterior domain Ω ⊂ RN , N ≥ 1, with non-smooth inhomogeneous, anisotropic coefficients converging near infinity with a rate r−τ , τ > 1, towards the identity. As a canonical application we show that the corres...
متن کاملExact solution of the Eigen model with general fitness functions and degradation rates.
We present an exact solution of Eigen's quasispecies model with a general degradation rate and fitness functions, including a square root decrease of fitness with increasing Hamming distance from the wild type. The found behavior of the model with a degradation rate is analogous to a viral quasispecies under attack by the immune system of the host. Our exact solutions also revise the known resu...
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ژورنال
عنوان ژورنال: Advances in Linear Algebra & Matrix Theory
سال: 2015
ISSN: 2165-333X,2165-3348
DOI: 10.4236/alamt.2015.52005