zbMATH — the first resource for mathematics

The asymptotic behavior of a random walk on a dual-medium lattice. (English) Zbl 0512.60063

60G50 Sums of independent random variables; random walks
60J65 Brownian motion
82B05 Classical equilibrium statistical mechanics (general)
Full Text: DOI
[1] K. E. Shuler,Physica,95A:12 (1979).
[2] V. Seshadri, K. Lindenberg, and K. E. Shuler,J. Stat. Phys. 21:517 (1979). · doi:10.1007/BF01011166
[3] K. E. Shuler and U. Mohanty,Proc. Nat. Acad. Sci. to appear (1981).
[4] M. Westcott,J. Stat. Phys. 27:75 (1982). · Zbl 0512.60060 · doi:10.1007/BF01011741
[5] C. C. Heyde,J. Stat. Phys. 27:721 (1982). · Zbl 0511.60066 · doi:10.1007/BF01013444
[6] C. Stone,Illinois J. Math. 7:638 (1963).
[7] J. B. Kemperman,Stoc. Proc. Appl. 2:1 (1974). · Zbl 0326.60081 · doi:10.1016/0304-4149(74)90010-6
[8] J. Keilson and J. A. Wellner,J. Appl. Prob. 15:300 (1978). · Zbl 0391.60072 · doi:10.2307/3213403
[9] P. Billingsley,Convergence of Probability Measures (Wiley, 1968).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.