-
2
-
-
51249162954
-
Hammersley's interacting particle process and longest increasing subsequences
-
2. D. Aldous and P. Diaconis, Hammersley's interacting particle process and longest increasing subsequences, Probab. Theory Related Fields 103:199-213 (1995).
-
(1995)
Probab. Theory Related Fields
, vol.103
, pp. 199-213
-
-
Aldous, D.1
Diaconis, P.2
-
3
-
-
0033458290
-
Longest increasing subsequences: From patience sorting to the Baik Deift Johansson theorem
-
3. D. Aldous and P. Diaconis, Longest increasing subsequences: From patience sorting to the Baik Deift Johansson theorem, Bull. Amer. Math. Soc. 36:413-432 (1999).
-
(1999)
Bull. Amer. Math. Soc.
, vol.36
, pp. 413-432
-
-
Aldous, D.1
Diaconis, P.2
-
4
-
-
0003007394
-
Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix
-
4. Z. D. Bai and Y. Q. Yin, Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix. Ann. Prob. 16:1729-1741 (1988).
-
(1988)
Ann. Prob.
, vol.16
, pp. 1729-1741
-
-
Bai, Z.D.1
Yin, Y.Q.2
-
5
-
-
0033443150
-
On the distribution of the length of the longest increasing subsequence of random permutations
-
5. J. Baik, P. Deift, and K. Johansson, On the distribution of the length of the longest increasing subsequence of random permutations, J. Amer. Math. Soc. 12:1119-1178 (1999).
-
(1999)
J. Amer. Math. Soc.
, vol.12
, pp. 1119-1178
-
-
Baik, J.1
Deift, P.2
Johansson, K.3
-
8
-
-
0034338413
-
Limiting distributions for a polynuclear growth model with external sources
-
8. J. Baik and E. Rains, Limiting distributions for a polynuclear growth model with external sources, J. Stat. Phys. 100:523-541 (2000).
-
(2000)
J. Stat. Phys.
, vol.100
, pp. 523-541
-
-
Baik, J.1
Rains, E.2
-
9
-
-
0034360853
-
On a Toeplitz determinant identity of Borodin and Okounkov
-
9. E. Basor and H. Widom, On a Toeplitz determinant identity of Borodin and Okounkov, Int. Eqns. Oper. Th. 37:397-401 (2000).
-
(2000)
Int. Eqns. Oper. Th.
, vol.37
, pp. 397-401
-
-
Basor, E.1
Widom, H.2
-
10
-
-
0034360852
-
A Fredholm determinant formula for Toeplitz determinants
-
10. A. Borodin and A. Okounkov, A Fredholm determinant formula for Toeplitz determinants, Int. Eqns. Oper. Th. 37:386-396 (2000).
-
(2000)
Int. Eqns. Oper. Th.
, vol.37
, pp. 386-396
-
-
Borodin, A.1
Okounkov, A.2
-
11
-
-
0034390399
-
Asymptotics of Plancherel measures for symmetric groups
-
11. A. Borodin, A. Okounkov, and G. Olshanski, Asymptotics of Plancherel measures for symmetric groups, J. Amer. Math. Soc. 13:481-515 (2000).
-
(2000)
J. Amer. Math. Soc.
, vol.13
, pp. 481-515
-
-
Borodin, A.1
Okounkov, A.2
Olshanski, G.3
-
13
-
-
0000774419
-
Greedy lattice animals I: Upper bounds
-
13. J. T. Cox, A. Gandolfi, P. S. Griffin, and H. Kesten, Greedy lattice animals I: Upper bounds, Ann. Appl. Prob. 3:1151-1169 (1993).
-
(1993)
Ann. Appl. Prob.
, vol.3
, pp. 1151-1169
-
-
Cox, J.T.1
Gandolfi, A.2
Griffin, P.S.3
Kesten, H.4
-
14
-
-
0001946143
-
Integrable operators
-
V. Buslaev, M. Solomyak, and D. Yafaev, eds., American Mathematical Society Translations, Ser. 2. v. 189 AMS, Providence, RI.
-
14. P. A. Deift, Integrable operators, in Differential Operators and Spectral Theory: M. Sh. Birman's 70th Anniversary Collection, V. Buslaev, M. Solomyak, and D. Yafaev, eds., American Mathematical Society Translations, Ser. 2. v. 189 (AMS, Providence, RI. 1999).
-
(1999)
Differential Operators and Spectral Theory: M. Sh. Birman's 70th Anniversary Collection
-
-
Deift, P.A.1
-
15
-
-
0031493906
-
A Riemann-Hilbert approach to asymtptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
-
15. P. A. Deift, A. R. Its, and X. Zhou, A Riemann-Hilbert approach to asymtptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics, Ann. of Math. 146:149-235 (1997).
-
(1997)
Ann. of Math.
, vol.146
, pp. 149-235
-
-
Deift, P.A.1
Its, A.R.2
Zhou, X.3
-
16
-
-
0001525213
-
A steepest descent method for oscillatory Riemann-Hilbert problems: Asymptotics for the MKdV equation
-
16. P. A. Deift and X. Zhou, A steepest descent method for oscillatory Riemann-Hilbert problems: Asymptotics for the MKdV equation, Ann. Math. 137:295-368 (1993).
-
(1993)
Ann. Math.
, vol.137
, pp. 295-368
-
-
Deift, P.A.1
Zhou, X.2
-
18
-
-
0003166713
-
Symmetric functions and P-recursiveness
-
18. I. M. Gessel, Symmetric functions and P-recursiveness, J. Comb. Theory, Ser. A 53: 257-285 (1990).
-
(1990)
J. Comb. Theory, Ser. A
, vol.53
, pp. 257-285
-
-
Gessel, I.M.1
-
19
-
-
0033089822
-
Brownian motion in a Weyl chamber, non-colliding particles, and random matrices
-
19. D. J. Grabiner, Brownian motion in a Weyl chamber, non-colliding particles, and random matrices, Ann. Inst. H. Poincaré Probab. Statist. 35:177-204 (1999).
-
(1999)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.35
, pp. 177-204
-
-
Grabiner, D.J.1
-
20
-
-
0030352267
-
Cellular automata models of ring dynamics
-
20. J. Gravner, Cellular automata models of ring dynamics, Int. J. Mod. Phys. C 7:863-871 (1996).
-
(1996)
Int. J. Mod. Phys. C
, vol.7
, pp. 863-871
-
-
Gravner, J.1
-
21
-
-
0033235819
-
Recurrent ring dynamics in two-dimensional excitable cellular automata
-
21. J. Gravner, Recurrent ring dynamics in two-dimensional excitable cellular automata, J. Appl. Prob. 36:1-20 (1999).
-
(1999)
J. Appl. Prob.
, vol.36
, pp. 1-20
-
-
Gravner, J.1
-
23
-
-
0002358063
-
Self-organization of random cellular automata: Four snapshots
-
Probability and Phase Transitions, NATO Adv. Sci. Inst. Ser. C: Math. and G. Grimmett, ed. Kluwer Academic Publishers, Dordrecht
-
23. D. Griffeath, Self-organization of random cellular automata: four snapshots, in Probability and Phase Transitions, NATO Adv. Sci. Inst. Ser. C: Math. and Phys. Sci., Vol. 420, G. Grimmett, ed. (Kluwer Academic Publishers, Dordrecht, 1994), pp. 49-67.
-
(1994)
Phys. Sci.
, vol.420
, pp. 49-67
-
-
Griffeath, D.1
-
25
-
-
0001649144
-
Departure from many queues in series
-
25. P. W. Glynn and W. Whitt, Departure from many queues in series, Ann. Appl. Prob. 1:546-572 (1991).
-
(1991)
Ann. Appl. Prob.
, vol.1
, pp. 546-572
-
-
Glynn, P.W.1
Whitt, W.2
-
28
-
-
0034340689
-
Shape fluctuations and random matrices
-
28. K. Johansson, Shape fluctuations and random matrices, Commun. Math. Phys. 209: 437-476 (2000).
-
(2000)
Commun. Math. Phys.
, vol.209
, pp. 437-476
-
-
Johansson, K.1
-
30
-
-
84972578253
-
Permutations, matrices and generalized young tableaux
-
30. D. E. Knuth, Permutations, matrices and generalized Young tableaux, Pacific J. Math. 34:709-727 (1970).
-
(1970)
Pacific J. Math.
, vol.34
, pp. 709-727
-
-
Knuth, D.E.1
-
32
-
-
0343130876
-
On growth, disorder and field theory
-
32. M. Lässig, On growth, disorder and field theory, J. Phys.: Condens. Matter 10:9905-9950 (1998).
-
(1998)
J. Phys.: Condens. Matter
, vol.10
, pp. 9905-9950
-
-
Lässig, M.1
-
35
-
-
0343391145
-
Statistical self-similarity of one-dimensional growth processes
-
35. M. Prähofer and H. Spohn, Statistical self-similarity of one-dimensional growth processes, Physica A 279:342-352 (2000).
-
(2000)
Physica A
, vol.279
, pp. 342-352
-
-
Prähofer, M.1
Spohn, H.2
-
36
-
-
0000439075
-
Universal distributions for growth processes in 1 + 1 dimensions and random matrices
-
36. M. Prähofer and H. Spohn, Universal distributions for growth processes in 1 + 1 dimensions and random matrices, Phys. Rev. Lett. 84:4882-4885 (2000).
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 4882-4885
-
-
Prähofer, M.1
Spohn, H.2
-
37
-
-
0031260678
-
A scaling limit for queues in series
-
37. T. Seppäläinen, A scaling limit for queues in series, Ann. Appl. Prob. 7:855-872 (1997).
-
(1997)
Ann. Appl. Prob.
, vol.7
, pp. 855-872
-
-
Seppäläinen, T.1
-
38
-
-
0032361582
-
Exact limiting shape for a simplified model of first-passage percolation in the plane
-
38. T. Seppäläinen, Exact limiting shape for a simplified model of first-passage percolation in the plane, Ann. Prob. 26:1232-1250 (1998).
-
(1998)
Ann. Prob.
, vol.26
, pp. 1232-1250
-
-
Seppäläinen, T.1
-
40
-
-
27644532196
-
Level-spacing distributions and the Airy kernel
-
40. C. A. Tracy and H. Widom, Level-spacing distributions and the Airy kernel, Commun. Math. Phys. 159:151-174 (1994).
-
(1994)
Commun. Math. Phys.
, vol.159
, pp. 151-174
-
-
Tracy, C.A.1
Widom, H.2
-
41
-
-
0030545965
-
On orthogonal and symplectic ensembles
-
41. C. A. Tracy and H. Widom, On orthogonal and symplectic ensembles, Commun. Math. Phys. 177:727-754 (1996).
-
(1996)
Commun. Math. Phys.
, vol.177
, pp. 727-754
-
-
Tracy, C.A.1
Widom, H.2
-
42
-
-
0032163852
-
Correlation functions, cluster functions and spacing distributions for random matrices
-
42. C. A. Tracy and H. Widom, Correlation functions, cluster functions and spacing distributions for random matrices, J. Stat. Phys. 92:809-835 (1998).
-
(1998)
J. Stat. Phys.
, vol.92
, pp. 809-835
-
-
Tracy, C.A.1
Widom, H.2
-
43
-
-
0033474974
-
Random unitary matrices, permutations and painlevé
-
43. C. A. Tracy and H. Widom, Random unitary matrices, permutations and Painlevé, Commun. Math. Phys. 207:665-685 (1999).
-
(1999)
Commun. Math. Phys.
, vol.207
, pp. 665-685
-
-
Tracy, C.A.1
Widom, H.2
|