The largest Lyapunov exponent for random matrices and directed polymers in a random environment

DOI10.1007/BF01218629zbMath0673.60066MaRDI QIDQ1120905

C. Eugene Wayne, Jean-Pierre Eckmann

Publication date: 1989

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

largest Lyapunov exponentrandom matrix productsrandom walk in a random environment

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (5)

Synchronization in networks with random interactions: Theory and applications ⋮ Random polymers on the complete graph ⋮ Characterization of the spatial complex behavior and transition to chaos in flow systems ⋮ Lyapunov exponents of a lattice of chaotic maps with a power-law coupling ⋮ Directed polymers on infinite graphs

Cites Work

• The stability of large random matrices and their products
• The distribution of Lyapunov exponents: Exact results for random matrices
• Ergodic theory of differentiable dynamical systems
• Diffusion of directed polymers in a random environment.
• Liapunov spectra for infinite chains of nonlinear oscillators.
• Distribution of characteristic exponents in the thermodynamic limit
• Scaling law and asymptotic distribution of Lyapunov exponents in conservative dynamical systems with many degrees of freedom
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