The motion of a large particle
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- by Richard Holley
- Trans. Amer. Math. Soc. 144 (1969), 523-534
- DOI: https://doi.org/10.1090/S0002-9947-1969-0251796-0
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References
- Patrick Billingsley, Convergence of probability measures, John Wiley & Sons, Inc., New York-London-Sydney, 1968. MR 0233396 R. L. Dobrušin, On Poisson’s law for distributions of particles in space, Ukrain. Math. Ž. 8 (1956), 127-134. (Russian)
- T. E. Harris, Diffusion with “collisions” between particles, J. Appl. Probability 2 (1965), 323–338. MR 184277, DOI 10.2307/3212197 R. Holley, The motion of a heavy particle in an infinite one dimensional gas of hard spheres, Thesis, Cornell Univ., Ithaca, N. Y., 1969.
- D. W. Jepsen, Dynamics of a simple many-body system of hard rods, J. Mathematical Phys. 6 (1965), 405–413. MR 172645, DOI 10.1063/1.1704288
- Edward Nelson, Dynamical theories of Brownian motion, Princeton University Press, Princeton, N.J., 1967. MR 0214150, DOI 10.1515/9780691219615
- Alfréd Rényi, On an extremal property of the Poisson process, Ann. Inst. Statist. Math. 16 (1964), 129–133. MR 171313, DOI 10.1007/BF02868567
- Frank Spitzer, Uniform motion with elastic collision of an infinite particle system. , J. Math. Mech. 18 (1968/1969), 973–989. MR 0243646
- Charles Stone, On a theorem by Dobrushin, Ann. Math. Statist. 39 (1968), 1391–1401. MR 231441, DOI 10.1214/aoms/1177698327
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 144 (1969), 523-534
- MSC: Primary 60.62
- DOI: https://doi.org/10.1090/S0002-9947-1969-0251796-0
- MathSciNet review: 0251796