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O’Connor, A. J.

A central limit theorem for the disordered harmonic chain. (English) Zbl 0394.60027

Commun. Math. Phys. 45, 63-77 (1975).
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Cited in 1 Review
Cited in 8 Documents

MSC:

60F05 Central limit and other weak theorems
60K35 Interacting random processes; statistical mechanics type models; percolation theory

Keywords:

Problem of Heat Conduction; Central Limit Theorem
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References:

[1] Furstenberg, H.: Trans. A.M.S.,108, 377 (1963) · doi:10.1090/S0002-9947-1963-0163345-0
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[12] O’Connor, A. J., Lebowitz, J. L.: J. Math. Phys.15, 692 (1974) · doi:10.1063/1.1666713
[13] Schmidt, H.: Phys. Rev.105, 425 (1957) · Zbl 0105.43801 · doi:10.1103/PhysRev.105.425
[14] Borland, R. E.: Proc. Roy. Soc. (London) A.274, 529 (1963) · Zbl 0114.23002 · doi:10.1098/rspa.1963.0148
[15] Halperin, B. I.: Advances in Chemical Physics13, 123 (1967) · doi:10.1002/9780470140154.ch6
[16] Hori, J.: Spectral Theory of Disordered Chains and Lattices. Oxford: Pergamon, 1968
[17] Feller, W.: Introduction to probability theory and its applications, II. New York: Wiley 1966 · Zbl 0138.10207
[18] Maradudin, A. A., Montroll, E. W., Weiss, G. H.: Theory of lattice dynamics in the harmonic approximation. New York: Academic Press 1968
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[20] Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966 · Zbl 0148.12601
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