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Volumn 56, Issue 4, 2001, Pages 687-708

A one-dimensional gravitationally interacting gas and the convex minorant of Brownian motion

(1)  Suidan, T M a  

a NONE

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EID: 0035634852     PISSN: 00360279     EISSN: 14684829     Source Type: Journal    
DOI: 10.1070/RM2001v056n04ABEH000416     Document Type: Article
Times cited : (6)

References (17)
  • 1
    • 0003028082 scopus 로고
    • Statistical properties of shocks in Burgers turbulence
    • W. E
    • M. Avellaneda and W. E, "Statistical properties of shocks in Burgers turbulence", Comm. Math. Phys. 172 (1995), 13-38.
    • (1995) Comm. Math. Phys. , vol.172 , pp. 13-38
    • Avellaneda, M.1
  • 2
    • 0005317479 scopus 로고
    • Markov processes and convex minorants
    • R. Bass, "Markov processes and convex minorants", Lecture Notes in Math. 1059 (1984), 29-41.
    • (1984) Lecture Notes in Math. , vol.1059 , pp. 29-41
    • Bass, R.1
  • 3
    • 0001304418 scopus 로고
    • A combinatorial lemma for complex numbers
    • G. Baxter, "A combinatorial lemma for complex numbers", Ann. Math. Stat. 32 (1961), 901-904.
    • (1961) Ann. Math. Stat. , vol.32 , pp. 901-904
    • Baxter, G.1
  • 5
    • 0032049880 scopus 로고    scopus 로고
    • Statistics of mass aggregation in a self-gravitating one-dimensional gas
    • J. C. Bonvin, P. Martin, J. Piasecki, and X. Zotos, "Statistics of mass aggregation in a self-gravitating one-dimensional gas", J. Statist. Phys. 91 (1998), 177-197.
    • (1998) J. Statist. Phys. , vol.91 , pp. 177-197
    • Bonvin, J.C.1    Martin, P.2    Piasecki, J.3    Zotos, X.4
  • 7
    • 0001766126 scopus 로고    scopus 로고
    • Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
    • W. E
    • W. E, Yu. G. Rykov, and Ya. G. Sinai, "Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics", Comm. Math. Phys. 177 (1996), 349-380.
    • (1996) Comm. Math. Phys. , vol.177 , pp. 349-380
    • Rykov, Yu.G.1    Sinai, Ya.G.2
  • 8
    • 84971128359 scopus 로고
    • Records, permutations, and greatest convex minorants
    • C. Goldie, "Records, permutations, and greatest convex minorants". Math. Proc. Cambridge Philos. Soc. 106 (1989), 169-177.
    • (1989) Math. Proc. Cambridge Philos. Soc. , vol.106 , pp. 169-177
    • Goldie, C.1
  • 9
    • 0001641741 scopus 로고
    • The concave majorant of Brownian motion
    • P. Groeneboom, "The concave majorant of Brownian motion", Ann. Probab. 11 (1983), 1016-1027.
    • (1983) Ann. Probab. , vol.11 , pp. 1016-1027
    • Groeneboom, P.1
  • 10
    • 0030210569 scopus 로고    scopus 로고
    • Aggregation dynamics in a self-gravitating one-dimensional gas
    • P. A. Martin and J. Piasecki, "Aggregation dynamics in a self-gravitating one-dimensional gas", J. Statist. Phys. 84 (1996), 837-857.
    • (1996) J. Statist. Phys. , vol.84 , pp. 837-857
    • Martin, P.A.1    Piasecki, J.2
  • 11
    • 0000390385 scopus 로고
    • Remarks on the convex minorant of Brownian motion
    • J. Pitman, "Remarks on the convex minorant of Brownian motion", Progr. Probab. Statist. 5 (1983), 219-227.
    • (1983) Progr. Probab. Statist. , vol.5 , pp. 219-227
    • Pitman, J.1
  • 12
    • 84968490734 scopus 로고
    • Ordered cycle lengths in a random permutation
    • L. A. Shepp and S. P. Lloyd, "Ordered cycle lengths in a random permutation", Trans. Amer. Math. Soc. 121 (1966), 340-357.
    • (1966) Trans. Amer. Math. Soc. , vol.121 , pp. 340-357
    • Shepp, L.A.1    Lloyd, S.P.2
  • 13
    • 0000167279 scopus 로고
    • On the fluctuations of sums of random variables. II
    • E. Sparre Andersen, "On the fluctuations of sums of random variables. II", Math. Scand. 2 (1954), 195-223.
    • (1954) Math. Scand. , vol.2 , pp. 195-223
    • Sparre Andersen, E.1
  • 14
    • 84967710276 scopus 로고
    • A combinatorial lemma and its application to probability theory
    • F. Spitzer, "A combinatorial lemma and its application to probability theory", Trans. Amer. Math. Soc. 82 (1956), 323-339.
    • (1956) Trans. Amer. Math. Soc. , vol.82 , pp. 323-339
    • Spitzer, F.1
  • 15
    • 0002584967 scopus 로고
    • Limit measures arising in the asymptotic theory of the symmetric groups. I
    • A. M. Vershik and A. A. Shmidt, "Limit measures arising in the asymptotic theory of the symmetric groups. I", Tear. Veroyatnost. i Primenen. 22 (1977), 72-88; English transl., Theory Probab. Appl. 1 (1977), 70-85.
    • (1977) Tear. Veroyatnost. i Primenen. , vol.22 , pp. 72-88
    • Vershik, A.M.1    Shmidt, A.A.2
  • 16
    • 85164649591 scopus 로고
    • A. M. Vershik and A. A. Shmidt, "Limit measures arising in the asymptotic theory of the symmetric groups. I", Tear. Veroyatnost. i Primenen. 22 (1977), 72-88; English transl., Theory Probab. Appl. 1 (1977), 70-85.
    • (1977) Theory Probab. Appl. , vol.1 , pp. 70-85
  • 17
    • 0002320511 scopus 로고
    • Gravitational instability: An approximate theory for large density perturbations
    • Ya. B. Zel'dovich, "Gravitational instability: an approximate theory for large density perturbations", Astron. and Astrophys. 5 (1970), 84-89.
    • (1970) Astron. and Astrophys. , vol.5 , pp. 84-89
    • Zel'dovich, Ya.B.1


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