-
1
-
-
21844526225
-
Stratified structure of the Universe and Burgers equation; A probabilistic approach
-
Albeverio S., Molchanov S.A., Surgailis D. Stratified structure of the Universe and Burgers equation; a probabilistic approach. Probab. Theory Related Fields. 100:1994;457-484.
-
(1994)
Probab. Theory Related Fields
, vol.100
, pp. 457-484
-
-
Albeverio, S.1
Molchanov, S.A.2
Surgailis, D.3
-
2
-
-
0003028082
-
Statistical properties of shocks in Burgers turbulence
-
Avellaneda, M., Avellaneda, E. W., 1995. Statistical properties of shocks in Burgers turbulence. Commun. Math. Phys. 172, 13-38.
-
(1995)
Commun. Math. Phys.
, vol.172
, pp. 13-38
-
-
Avellaneda, M.1
Avellaneda, E.W.2
-
5
-
-
85033895276
-
Stochastic particles method for nonlinear PDE's of Burgers type
-
to appear
-
Bossy, M., Talay, D., 1994. Stochastic particles method for nonlinear PDE's of Burgers type. Math. Comp., to appear.
-
(1994)
Math. Comp.
-
-
Bossy, M.1
Talay, D.2
-
6
-
-
0039930596
-
Vitesse de convergence d'un algorithme particulaire stochastique pur l'equation de Burgers
-
Bossy M., Talay D. Vitesse de convergence d'un algorithme particulaire stochastique pur l'equation de Burgers. C.R. Acad. Sci. Paris Ser. I. 320:1995;1129-1134.
-
(1995)
C.R. Acad. Sci. Paris Ser. I.
, vol.320
, pp. 1129-1134
-
-
Bossy, M.1
Talay, D.2
-
7
-
-
0030489571
-
Convergence rate for the approximation of the limit law of weakly interacting particles: Application to the Burgers equation
-
Bossy M., Talay D. Convergence rate for the approximation of the limit law of weakly interacting particles: application to the Burgers equation. Ann. Appl. Probab. 6:1996;818-861.
-
(1996)
Ann. Appl. Probab.
, vol.6
, pp. 818-861
-
-
Bossy, M.1
Talay, D.2
-
8
-
-
0000800718
-
Asymptotic Gaussianness of solutions of the Burgers equation with random initial data
-
Bulinskii A.V., Molchanov S.A. Asymptotic Gaussianness of solutions of the Burgers equation with random initial data. Theory Probab. Appl. 36:1991;217-235.
-
(1991)
Theory Probab. Appl.
, vol.36
, pp. 217-235
-
-
Bulinskii, A.V.1
Molchanov, S.A.2
-
11
-
-
0001598424
-
Limit Gaussian behavior of the solutions of the multidimensional Burgers' equation with weak-dependent initial conditions
-
Deriev I., Leonenko N. Limit Gaussian behavior of the solutions of the multidimensional Burgers' equation with weak-dependent initial conditions. Acta Appl. Math. 47:1997;1-18.
-
(1997)
Acta Appl. Math.
, vol.47
, pp. 1-18
-
-
Deriev, I.1
Leonenko, N.2
-
12
-
-
13844294706
-
Non-central limit theorems for nonlinear functionals of Gaussian fields
-
Dobrushin R.L., Major P. Non-central limit theorems for nonlinear functionals of Gaussian fields. Z. Wahr. Verw. Gebiete. 50:1979;1-28.
-
(1979)
Z. Wahr. Verw. Gebiete
, vol.50
, pp. 1-28
-
-
Dobrushin, R.L.1
Major, P.2
-
13
-
-
0039930594
-
Large time behavior of elementary waves of Burgers equation under white noise perturbation
-
Fan H. Large time behavior of elementary waves of Burgers equation under white noise perturbation. Commun. Partial Differential Equations. 20:1995;1699-1723.
-
(1995)
Commun. Partial Differential Equations
, vol.20
, pp. 1699-1723
-
-
Fan, H.1
-
14
-
-
0040200187
-
Some simple nonlinear problems of consolidation of water-saturated soils
-
Florin V.A. Some simple nonlinear problems of consolidation of water-saturated soils. Izv. Akad. Nauk SSSR, Ot. Tech. Nauk. 9:1948;1389-1397.
-
(1948)
Izv. Akad. Nauk SSSR, Ot. Tech. Nauk
, vol.9
, pp. 1389-1397
-
-
Florin, V.A.1
-
17
-
-
2342475681
-
Long memory shot noises and limit theorems with applications to Burgers equation
-
In: Caines, P., et al. (Eds.), Springer, Berlin
-
Giraitis, L., Molchanov, S.A., Surgailis, D., 1993. Long memory shot noises and limit theorems with applications to Burgers equation. In: Caines, P., et al. (Eds.), New Directions in Time Series Analysis, Part II. Springer, Berlin, pp. 153-176.
-
(1993)
New Directions in Time Series Analysis
, Issue.PART II
, pp. 153-176
-
-
Giraitis, L.1
Molchanov, S.A.2
Surgailis, D.3
-
18
-
-
0003783423
-
-
Manchester University Press, Manchester.
-
Gurbatov, S., Malakhov, A., Saichev, A. 1991. Nonlinear Waves and Turbulence in Nondispersive Media: Waves, Rays and Particles. Manchester University Press, Manchester.
-
(1991)
Nonlinear Waves and Turbulence in Nondispersive Media: Waves, Rays and Particles
-
-
Gurbatov, S.1
Malakhov, A.2
Saichev, A.3
-
19
-
-
0039469212
-
An exact rate of convergence in the functional central limit theorem for special martingale difference array
-
Haensler E. An exact rate of convergence in the functional central limit theorem for special martingale difference array. Z. Wahr. Verw. Geb. 65:1984;523-534.
-
(1984)
Z. Wahr. Verw. Geb.
, vol.65
, pp. 523-534
-
-
Haensler, E.1
-
20
-
-
0040820103
-
Quasi-mean reversion in an efficient stock market; The characterization of economic equilibria which support Black-Scholes option pricing
-
Hodges S., Carverhill A. Quasi-mean reversion in an efficient stock market; the characterization of economic equilibria which support Black-Scholes option pricing. Econom. J. 102:1993;395-405.
-
(1993)
Econom. J.
, vol.102
, pp. 395-405
-
-
Hodges, S.1
Carverhill, A.2
-
21
-
-
84953006742
-
The Burgers equation with noisy force and the stochastic heat equation
-
Holden H., Lindstrom T., hhksendal B., Ubøe J., Zhang T.-S. The Burgers equation with noisy force and the stochastic heat equation. Commun. Partial Differential Equations. 19:1994;119-141.
-
(1994)
Commun. Partial Differential Equations
, vol.19
, pp. 119-141
-
-
Holden, H.1
Lindstrom, T.2
Hhksendal, B.3
Ubøe, J.4
Zhang, T.-S.5
-
22
-
-
0000791477
-
The stochastic Wick-type Burgers equation
-
In: Etheridge, A. (Ed.), Cambridge University Press, Cambridge
-
Holden, H., Lindstrom, T., Øksendal, B., Ubøe, J., Zhang, T.-S., 1995. The stochastic Wick-type Burgers equation. In: Etheridge, A. (Ed.), Stochastic Differential Equations. Cambridge University Press, Cambridge, 141-161.
-
(1995)
Stochastic Differential Equations
, pp. 141-161
-
-
Holden, H.1
Lindstrom, T.2
Øksendal, B.3
Ubøe, J.4
Zhang, T.-S.5
-
24
-
-
0010667049
-
An extremal rearrangement property of statistical solutions of the Burgers equation
-
Hu Y., Woyczynski W.A. An extremal rearrangement property of statistical solutions of the Burgers equation. Ann. Appl. Probab. 4:1994;838-858.
-
(1994)
Ann. Appl. Probab.
, vol.4
, pp. 838-858
-
-
Hu, Y.1
Woyczynski, W.A.2
-
25
-
-
0039338359
-
Shock density in Burgers turbulence
-
In: Funaki, T., Woyczynski, W.A. (Eds.), Springer, Berlin
-
Hu, Y., Woyczynski, W.A., 1995a. Shock density in Burgers turbulence. In: Funaki, T., Woyczynski, W.A. (Eds.), Nonlinear Stochastic PDE's; Hydrodynamic Limit and Burgers Turbulence, IMA vol. 77. Springer, Berlin, pp. 167-192.
-
(1995)
Nonlinear Stochastic PDE's; Hydrodynamic Limit and Burgers Turbulence, IMA
, vol.77
, pp. 167-192
-
-
Hu, Y.1
Woyczynski, W.A.2
-
26
-
-
0039930595
-
Limit behavior of quadratic forms of moving averages and statistical solutions of the Burgers equation
-
Hu Y., Woyczynski W.A. Limit behavior of quadratic forms of moving averages and statistical solutions of the Burgers equation. J. Multivariate Anal. 52:1995;15-44.
-
(1995)
J. Multivariate Anal.
, vol.52
, pp. 15-44
-
-
Hu, Y.1
Woyczynski, W.A.2
-
31
-
-
34250089084
-
Sharpness of normal approximation of functionals of strongly correlated Gaussian random fields
-
Leonenko N.N. Sharpness of normal approximation of functionals of strongly correlated Gaussian random fields. Math. Notes. 43:1988;283-298.
-
(1988)
Math. Notes
, vol.43
, pp. 283-298
-
-
Leonenko, N.N.1
-
32
-
-
0009042242
-
Limit theorems for the solutions of multidimensional Burgers equation subject to weak dependent random initial conditions
-
Leonenko N.N., Deriev I.I. Limit theorems for the solutions of multidimensional Burgers equation subject to weak dependent random initial conditions. Theory Probab. Math. Statist. 51:1995;103-115.
-
(1995)
Theory Probab. Math. Statist.
, vol.51
, pp. 103-115
-
-
Leonenko, N.N.1
Deriev, I.I.2
-
33
-
-
0009278673
-
Non-Gaussian limiting distributions of solutions of multidimensional Burgers equation with random data
-
Leonenko N.N., Li Z., Rybasov K.V. Non-Gaussian limiting distributions of solutions of multidimensional Burgers equation with random data. Ukrainian Math. J. 47:1995;330-336.
-
(1995)
Ukrainian Math. J
, vol.47
, pp. 330-336
-
-
Leonenko, N.N.1
Li, Z.2
Rybasov, K.V.3
-
35
-
-
34249925120
-
Tauberian and Abelian theorems for correlation function of homogeneous isotropic random fields
-
Leonenko N.N., Olenko A.Ya. Tauberian and Abelian theorems for correlation function of homogeneous isotropic random fields. Ukrainian Math. J. 43:1991;1652-1664.
-
(1991)
Ukrainian Math. J.
, vol.43
, pp. 1652-1664
-
-
Leonenko, N.N.1
Olenko, A.ya.2
-
36
-
-
0000229756
-
Limit theorems for solutions of Burgers equation with Gaussian and non-Gaussian initial data
-
Leonenko N.N., Orsingher E. Limit theorems for solutions of Burgers equation with Gaussian and non-Gaussian initial data. Theory Probab. Appl. 40:1995;336-387.
-
(1995)
Theory Probab. Appl.
, vol.40
, pp. 336-387
-
-
Leonenko, N.N.1
Orsingher, E.2
-
38
-
-
0039924669
-
On the rate of convergence to the normal law for solutions of the Burgers equation with singular initial data
-
(Errata, ibid. 84, 1389-1390).
-
Leonenko, N.N., Orsingher, E., Parkhomenko, V.N., 1996a. On the rate of convergence to the normal law for solutions of the Burgers equation with singular initial data. J. Statist. Phys. 82, 915-929 (Errata, ibid. 84, 1389-1390).
-
(1996)
J. Statist. Phys.
, vol.82
, pp. 915-929
-
-
Leonenko, N.N.1
Orsingher, E.2
Parkhomenko, V.N.3
-
39
-
-
0009035005
-
Limit distributions of solutions of multidimensional Burgers equation with random initial data, I and II
-
and 1003-110
-
Leonenko, N.N., Orsingher, E., Rybasov, K.V., 1994. Limit distributions of solutions of multidimensional Burgers equation with random initial data, I and II. Ukraininan Math. J. 46, 870-877, and 1003-110.
-
(1994)
Ukraininan Math. J.
, vol.46
, pp. 870-877
-
-
Leonenko, N.N.1
Orsingher, E.2
Rybasov, K.V.3
-
40
-
-
0002080467
-
The accuracy of the normal approximation for minimum contrast estimates
-
Michel R., Pfanzagl J. The accuracy of the normal approximation for minimum contrast estimates. Z. Wahr. Verw. Gebiete. 18:1971;73-84.
-
(1971)
Z. Wahr. Verw. Gebiete
, vol.18
, pp. 73-84
-
-
Michel, R.1
Pfanzagl, J.2
-
43
-
-
0040783720
-
On the central limit theorem for m -dependent random variables
-
Izd. Akadem. Nauk Armenskoi SSR. Erevan
-
Petrov, V.V., 1960. On the central limit theorem for m -dependent random variables. In Trudy Vsesoyuz. Sov. Teorii Veroyat. Mat. Stat, Izd. Akadem. Nauk Armenskoi SSR. Erevan, pp. 38-44.
-
(1960)
In Trudy Vsesoyuz. Sov. Teorii Veroyat. Mat. Stat
, pp. 38-44
-
-
Petrov, V.V.1
-
46
-
-
0000339717
-
Remarks on the Burgers equation
-
Rosenblatt M. Remarks on the Burgers equation. J. Math. Phys. 9:1968;1129-1136.
-
(1968)
J. Math. Phys.
, vol.9
, pp. 1129-1136
-
-
Rosenblatt, M.1
-
47
-
-
0023359302
-
Scale renormalization and random solutions of Burgers equation
-
Rosenblatt M. Scale renormalization and random solutions of Burgers equation. J. Appl. Probab. 24:1987;328-338.
-
(1987)
J. Appl. Probab.
, vol.24
, pp. 328-338
-
-
Rosenblatt, M.1
-
48
-
-
0030917609
-
Evolution of Burgers turbulence in presence of external forces
-
Saichev A.I., Woyczynski W.A. Evolution of Burgers turbulence in presence of external forces. J. Fluid Mech. 331:1997;313-343.
-
(1997)
J. Fluid Mech.
, vol.331
, pp. 313-343
-
-
Saichev, A.I.1
Woyczynski, W.A.2
-
49
-
-
35949010561
-
Turbulence, intermittency, structures in a self-gravitating medium: The large scale structure of the Universe
-
Shandarin S.F., Zeldovich B.Z. Turbulence, intermittency, structures in a self-gravitating medium: the large scale structure of the Universe. Rev. Modern Phys. 61:1989;185-220.
-
(1989)
Rev. Modern Phys.
, vol.61
, pp. 185-220
-
-
Shandarin, S.F.1
Zeldovich, B.Z.2
-
50
-
-
33751098368
-
Two results concerning asymptotic behavior of solutions of the Burgers equation with force
-
Sinai, Ya.G., 1991. Two results concerning asymptotic behavior of solutions of the Burgers equation with force. J. Statist. Phys. 64, 1-12.
-
(1991)
J. Statist. Phys.
, vol.64
, pp. 1-12
-
-
Sinai, Ya.g.1
-
51
-
-
34249839748
-
Statistics of shocks in solutions of inviscid Burgers equation
-
Sinai Ya.G. Statistics of shocks in solutions of inviscid Burgers equation. Commun. Math. Phys. 148:1992;601-621.
-
(1992)
Commun. Math. Phys.
, vol.148
, pp. 601-621
-
-
Sinai, Ya.g.1
-
52
-
-
0002010564
-
Scaling limits of solutions of the Burgers equation with singular Gaussian initial data
-
In: Houdré, C., Pèrez-Abreu, V. (Eds.), CRC Press, Boca Raton, FL.
-
Surgailis, D., Woyczynski, W.A., 1994a. Scaling limits of solutions of the Burgers equation with singular Gaussian initial data. In: Houdré, C., Pèrez-Abreu, V. (Eds.), Chaos Expansions, Multiple Wiener-Itô Integrals and Their Applications. CRC Press, Boca Raton, FL.
-
(1994)
Chaos Expansions, Multiple Wiener-Itô Integrals and Their Applications
-
-
Surgailis, D.1
Woyczynski, W.A.2
-
53
-
-
21344453709
-
Burgers equation with non-local shot noise data
-
Surgailis D., Woyczynski W.A. Burgers equation with non-local shot noise data. J. Appl. Probab. 39:1994;351-362.
-
(1994)
J. Appl. Probab.
, vol.39
, pp. 351-362
-
-
Surgailis, D.1
Woyczynski, W.A.2
-
54
-
-
0001915941
-
Convergence of integrated precesses of arbitrary hermite rank
-
Taqqu M.S. Convergence of integrated precesses of arbitrary hermite rank. Z. Wahr. Verw. Gebiete. 50:1979;351-362.
-
(1979)
Z. Wahr. Verw. Gebiete.
, vol.50
, pp. 351-362
-
-
Taqqu, M.S.1
-
55
-
-
0001672917
-
Burgers equation, devil's staircases and mass distribution for the large-scale structure
-
Vergassola M., Dubrulle B.D., Frisch U., Noullez A. Burgers equation, devil's staircases and mass distribution for the large-scale structure. Astrophys. and Astrophys. 289:1994;325-356.
-
(1994)
Astrophys. and Astrophys.
, vol.289
, pp. 325-356
-
-
Vergassola, M.1
Dubrulle, B.D.2
Frisch, U.3
Noullez, A.4
-
58
-
-
0010711944
-
Stochastic Burgers flows
-
In: Fitzmaurice, N., et al. (Eds.) Birkhäuser, Boston
-
Woyczynski, W.A., 1993. Stochastic Burgers flows. In: Fitzmaurice, N., et al. (Eds.), Nonlinear Waves and Weak Turbulence. Birkhäuser, Boston, pp. 279-311.
-
(1993)
Nonlinear Waves and Weak Turbulence
, pp. 279-311
-
-
Woyczynski, W.A.1
|