Continuum limit of random matrix products in statistical mechanics of disordered systems

DOI10.1007/s00220-019-03466-9zbMath1428.82028arXiv1712.09373OpenAlexW3105635417WikidataQ127875564 ScholiaQ127875564MaRDI QIDQ2421537

Giambattista Giacomin, Francis Comets, Rafael Leon Greenblatt

Publication date: 17 June 2019

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

Full work available at URL: https://arxiv.org/abs/1712.09373

zbMATH Keywords

disordered systemsIsing modelBessel functionsrandom matrix product

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Random matrices (algebraic aspects) (15B52) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (5)

Fluctuations of the product of random matrices and generalized Lyapunov exponent ⋮ Regular expansion for the characteristic exponent of a product of \(2 \times 2\) random matrices ⋮ Lyapunov exponent for products of random Ising transfer matrices: the balanced disorder case ⋮ Scaling limits in models of statistical mechanics. Abstracts from the workshop held September 9--15, 2018 ⋮ Large deviations of the Lyapunov exponent in 2D matrix Langevin dynamics with applications to one-dimensional Anderson localization models

Uses Software

• DLMF

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