The Lyapunov spectrum of a continuous product of random matrices

DOI10.1007/BF02174216zbMath0916.15010arXivcond-mat/9610192OpenAlexW2039602207MaRDI QIDQ1285275

Igor V. Kolokolov, Andrea Gamba

Publication date: 6 July 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9610192

zbMATH Keywords

Lyapunov exponentsdisordered systemspassive scalarLyapunov spectrumloop groupsfunctional integration methodproduct of random matricesGauss decomposition

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52)

Related Items

Statistical properties of the T-exponential of isotropically distributed random matrices ⋮ Infinite products of random isotropically distributed matrices ⋮ Passive advection in nonlinear medium ⋮ Phase transition in the passive scalar advection ⋮ Material deformation tensor in time-reversal symmetry breaking turbulence ⋮ Particles and fields in fluid turbulence ⋮ Counting the exponents of single transfer matrices

Cites Work

• Products of random matrices in statistical physics
• Convection of a passive scalar by a quasi-uniform random straining field
• Scaling properties of localization in random band matrices: A σ-model approach
• Passive scalar convection in a 2D long-range delta-correlated velocity field: Exact results

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