Regularity and convergence rates for the Lyapunov exponents of linear co-cycles
Regularity and convergence rates for the Lyapunov exponents of linear co-cycles
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线性共循环李亚普诺夫指数的正则性和收敛率
DOI：
10.3934/jmd.2013.7.619
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
W. Schlag
中科院分区：
文献类型：
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作者：
W. Schlag
研究了GL（d，R）（或C）中依赖于参数的线性余圈（以Lipschitz或保持器的方式），并在此基础上建立了移位动力学的Lyapunov指数的保持器正则性.我们还得到了有限体积指数到其无限体积极限的收敛速度。该技术是与迈克尔·戈尔茨坦共同开发的薛定谔co-cycles。特别地，我们将原来针对SL（2，R）余圈的雪崩原理推广到GL（d，R）。
We study linear co-cycles in GL(d,R) (or C) depending on a parameter (in a Lipschitz or Holder fashion) and establish Holder regularity of the Lyapunov exponents for the shift dynamics on the base. We also obtain rates of convergence of the finite volume exponents to their infinite volume limits. The technique is that developed jointly with Michael Goldstein for Schroedinger co-cycles. In particular, we extend the Avalanche Principle, which had been formulated originally for SL(2,R) co-cycles, to GL(d,R).