Applications of the Joint Spectral Radius to Some Problems of Functional Analysis, Probability and Combinatorics

Applications of the Joint Spectral Radius to Some Problems of Functional Analysis, Probability and Combinatorics
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DOI:
10.1109/cdc.2005.1582625
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发表时间:
2005-12
期刊:
Proceedings of the 44th IEEE Conference on Decision and Control
影响因子:
--
通讯作者:
V. Protasov
V. Protasov
中科院分区:
其他
文献类型:
--
作者:
V. Protasov

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本文讨论了有限维线性算子的联合谱半径、下谱半径、p-半径、Lyapunov指数等联合谱特征在泛函分析、分形几何、概率论、组合数论等问题中的应用。
In this paper we discuss applications of the joint spectral characteristics of finite dimensional linear operators such as joint spectral radius, lower spectral radius, p-radius, Lyapunov exponent etc. to some problems of functional analysis, fractal geometry, probability theory and combinatorial number theory.