The Dynamics of a Disordered Linear Chain
From MaRDI portal
Publication:5824293
DOI10.1103/PhysRev.92.1331zbMath0052.23704MaRDI QIDQ5824293
Publication date: 1953
Published in: Physical Review (Search for Journal in Brave)
Related Items
Spectral properties of some Jacobi matrices with double weights., Stochastic model of self-driven two-species objects inspired by particular aspects of a pedestrian dynamics, Cycle expansion for the Lyapunov exponent of a product of random matrices, Transmission and localisation in ordered and randomly-perturbed structured flexural systems, Controlled motion of a linear chain of oscillators, Vibrational analysis of harmonic oscillator chains with random topological constraints, Scaling laws for weakly disordered 1D flat bands, Analytical study of the propagation of acoustic waves in a 1D weakly disordered lattice, Kummer and gamma laws through independences on trees -- another parallel with the Matsumoto-Yor property, Ornstein-Uhlenbeck process with fluctuating damping, Exactly solvable one-dimensional inhomogeneous models, Random measures and motions of point processes, Lyapunov exponents and localization in randomly layered media, Random determinants, Wave propagation in almost-periodic structures, A numerical study of sparse random matrices, Thomas-Fermi Approach to Impure Semiconductor Band Structure, Change of measure technique in characterizations of the gamma and Kummer distributions, Modeling finite-volume effects and chiral symmetry breaking in two-flavor QCD thermodynamics, Frequency filtering in disordered granular chains, Footprint of a topological phase transition on the density of states, Dynamics of a Disordered Linear Chain, Independence properties of the Matsumoto-Yor type, Lyapunov exponents for the random product of two shears, The eigenvalue density of rational Jacobi matrices. II, Strong disorder RG approach -- a short review of recent developments, Regular expansion for the characteristic exponent of a product of \(2 \times 2\) random matrices, Generalized Lyapunov exponents and aspects of the theory of deep learning, Landscape approximation of the ground state eigenvalue for graphs and random hopping models, Preface to the Special Collection in Honor of Freeman Dyson, Heat transport and Majorana fermions in a superconducting dot-wire system: an exact solution, Explicit invariant measures for products of random matrices, The Lyapunov exponent of products of random \(2\times 2\) matrices close to the identity, Random continued fractions with beta-hypergeometric distribution, Novel computation of the growth rate of generalized random Fibonacci sequences, Lanczos method of tridiagonalization, Jacobi matrices and physics, The eigenvalues of a randomly distributed matrix, Vibration Frequency Spectra of Disordered Lattices. I. Moments of the Spectra for Disordered Linear Chains, Dispersion relations and vibrational frequency spectra, Computation of localization degree in the sense of the Anderson criterion for a one-dimensional diagonally disordered system, Electron Energy Bands of One-Dimensional Random Alloys, The superspin approach to a disordered quantum wire in the chiral-unitary symmetry class with an arbitrary number of channels, Calculation of the spectral dependence of the Anderson localization criterion in a one-dimensional system with correlated diagonal disorder, Lifshitz tails and long-time decay in random systems with arbitrary disorder., Weak disorder expansion of Liapunov exponents in a degenerate case., Random composition of two rational maps: singularity of the invariant measure., Lifshitz singularities in random harmonic chains: periodic amplitudes near the band edge and near special frequencies., On the spectrum of the hierarchical Laplacian, Disordered One-Dimensional Crystals, Random Leslie matrices in population dynamics, Lyapunov exponents of large, sparse random matrices and the problem of directed polymers with complex random weights, The biennial life strategy in a random environment, Correlated Lloyd model: exact solution, Group ring elements with large spectral density, Singular behavior of the leading Lyapunov exponent of a product of random \({2 \times 2}\) matrices, Dyson’s disordered linear chain from a random matrix theory viewpoint, One-dimensional disordered quantum mechanics and Sinai diffusion with random absorbers, Dyson's spike for random Schroedinger operators and Novikov-Shubin invariants of groups, INHOMOGENEOUS FIXED POINT ENSEMBLES REVISITED, The random phase property and the Lyapunov spectrum for disordered multi-channel systems, Critical behavior of the aperiodic quantum Ising chain in a transverse magnetic field, Robust feedback control for a linear chain of oscillators, Padé approximants of random Stieltjes series, The asymptotical spectrum of Jacobi matrices, Explicit Formulae in Probability and in Statistical Physics, Poisson statistics of eigenvalues in the hierarchical Dyson model, Spectral analysis of stochastic recurrence systems of growing dimension under G-condition. Canonical equation K 91, Perturbation expansion for a one-dimensional Anderson model with off- diagonal disorder, Stochastic groups, Dynamics of disordered mechanical systems with large connectivity, free probability theory, and quasi-Hermitian random matrices, Beyond the universal Dyson singularity for 1-D chains with hopping disorder, Editorial. Special issue ``Localisation 2020: editorial summary, Weak disorder expansion of Lyapunov exponents of products of random matrices: A degenerate theory, Decay of the remanent magnetization in the asymmetric spin chain, Singularity of the density of states for one-dimensional chains with random couplings, Spectral theory of random self-adjoint operators, Zero-modes and thermodynamics of disordered spin-\(\frac 12\) ladders, Non-locally correlated disorder and delocalization in one dimension. I: Density of states., Vibrational frequency spectrum of random crystal lattices, Existence and uniqueness for random one-dimensional lattice systems, Ground states and hyperuniformity of the hierarchical Coulomb gas in all dimensions, Rigidity of the three-dimensional hierarchical Coulomb gas, The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain, On the level density of random band matrices, Demography in stochastic environments. I. Exact distributions of age structure, On the polynomial solutions of ordinary differential equations of the fourth order, Zero mode protection at particle-hole symmetry: a geometric interpretation, Localization by particle–hole symmetry breaking: a loop expansion, Effective field theories for disordered systems from a generalized phase formulation