基于无行列式线性代数的动力学谱
Dynamical spectrum via determinant-free linear algebra
摘要：
我们考虑一个序列的矩阵，与马尔可夫动力系统和使用行列式自由线性代数技术（以及一些代数和复分析），严格估计每个矩阵的特征值同时不做任何计算的矩阵本身。作为一个推论，我们得到的混合率为每个系统一次，以及对称性的密度与系统相关联，我们还发现了一系列相关的因子系统的谱特性。
英文摘要：
We consider a sequence of matrices that are associated to Markov dynamical systems and use determinant-free linear algebra techniques (as well as some algebra and complex analysis) to rigorously estimate the eigenvalues of every matrix simultaneously without doing any calculations on the matrices themselves. As a corollary, we obtain mixing rates for every system at once, as well as symmetry properties of densities associated to the system; we also find the spectral properties of a sequence of related factor systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
