Fluctuations of random matrix products and 1D Dirac equation with random mass

DOI10.1007/s10955-014-1082-zzbMath1301.35123arXiv1402.6943OpenAlexW3106263845MaRDI QIDQ478463

Kabir Ramola, Christophe Texier

Publication date: 3 December 2014

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

Full work available at URL: https://arxiv.org/abs/1402.6943

zbMATH Keywords

stochastic processesDirac equationLyapunov exponentrandom matrix productsgeneralised Lyapunov exponentquantum localisation

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) PDEs in connection with quantum mechanics (35Q40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Random matrices (algebraic aspects) (15B52)

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Cites Work

• Products of random matrices in statistical physics
• The Lyapunov exponent of products of random \(2\times 2\) matrices close to the identity
• One-dimensional disordered quantum mechanics and Sinai diffusion with random absorbers
• Lyapunov exponents, one-dimensional Anderson localization and products of random matrices
• The effect of boundaries on the spectrum of a one-dimensional random mass Dirac Hamiltonian
• Localization for one-dimensional random potentials with large local fluctuations
• Exponential functionals of Brownian motion and disordered systems
• Handbook of stochastic methods for physics, chemistry and natural sciences.
• Products of random matrices and generalised quantum point scatterers
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