-
1
-
-
34548328319
-
The twist map, the extended Frenkel-Kontorova model and the devil's staircase
-
S. AUBRY, The twist map, the extended Frenkel-Kontorova model and the devil's staircase, Physica D 7 (1983), 240-258.
-
(1983)
Physica D
, vol.7
, pp. 240-258
-
-
Aubry, S.1
-
2
-
-
0000755161
-
Intermittency of Burgers' turbulence
-
E. BALKOVSKY, G. FALKOVICH, I. KOLOKOLOV, and V. LEBEDEV, Intermittency of Burgers' turbulence, Phys. Rev. Lett. 78 (1997), 1452-1455.
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 1452-1455
-
-
Balkovsky, E.1
Falkovich, G.2
Kolokolov, I.3
Lebedev, V.4
-
3
-
-
0002791732
-
Geodesic rays, busemann functions and monotone twist maps
-
V. BANGERT, Geodesic rays, Busemann functions and monotone twist maps, Cal. Var. Partial Diff. Equ. 2 (1994), 49-63.
-
(1994)
Cal. Var. Partial Diff. Equ.
, vol.2
, pp. 49-63
-
-
Bangert, V.1
-
4
-
-
0002780103
-
Brownian motions in the diffeomorphism group. I
-
P. BAXENDALE, Brownian motions in the diffeomorphism group. I, Compositio Math. 53 (1984), 19-50.
-
(1984)
Compositio Math.
, vol.53
, pp. 19-50
-
-
Baxendale, P.1
-
6
-
-
12044251389
-
Vortices in high-temperature superconductors
-
G. BLATTER, M. V. FEIGELMAN, V. B. GESHKENBEIN, A. I. LARKIN, and V. M. VINOKUR, Vortices in high-temperature superconductors, Rev. Modern Phys. 66 (1994), 1125-1388.
-
(1994)
Rev. Modern Phys.
, vol.66
, pp. 1125-1388
-
-
Blatter, G.1
Feigelman, M.V.2
Geshkenbein, V.B.3
Larkin, A.I.4
Vinokur, V.M.5
-
8
-
-
84966217981
-
Monotone difference approximations for scalar conservation laws
-
M. G. CRANDALL and A. MAJDA, Monotone difference approximations for scalar conservation laws. Math. Comp. 34 (1980), 1-21.
-
(1980)
Math. Comp.
, vol.34
, pp. 1-21
-
-
Crandall, M.G.1
Majda, A.2
-
9
-
-
0000711880
-
Kolmogorov turbulence in a random-force-driven Burgers equation
-
A. CHEKHLOV and V. YAKHOT, Kolmogorov Turbulence in a random-force-driven Burgers equation, Phys. Rev. E 51 (1995), R2739-R2749.
-
(1995)
Phys. Rev. E
, vol.51
-
-
Chekhlov, A.1
Yakhot, V.2
-
10
-
-
0000617788
-
Generalized characteristics and the structure of solutions of hyperbolic conservation laws
-
C. DAFERMOS, Generalized characteristics and the structure of solutions of hyperbolic conservation laws, Indiana Math. J. 26 (1977), 1097-1119.
-
(1977)
Indiana Math. J.
, vol.26
, pp. 1097-1119
-
-
Dafermos, C.1
-
11
-
-
0001562857
-
Aubry-Mather theory and periodic solutions of forced Burgers equations
-
WEINAN E, Aubry-Mather theory and periodic solutions of forced Burgers equations Comm. Pure Appl. Math. 52 (1999), 811-828.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, pp. 811-828
-
-
Weinan, E.1
-
12
-
-
6244236583
-
Probability distribution functions for the random-forced Burgers equations
-
WEINAN E, K. KHANIN, A. MAZEL, and YA. SINAI, Probability distribution functions for the random-forced Burgers equations, Phys. Rev. Lett. 78 (1997), 1904-1907.
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 1904-1907
-
-
Weinan, E.1
Khanin, K.2
Mazel, A.3
Sinai, Ya.4
-
13
-
-
0001766126
-
Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
-
WEINAN E, YU. RYKOV, and YA. 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
-
-
Weinan, E.1
Rykov, Y.U.2
Sinai, Ya.3
-
14
-
-
29444442507
-
Asymptotic theory for the probability density functions in Burgers turbulence
-
WEINAN E and E. VANDEN EIJNDEN, Asymptotic theory for the probability density functions in Burgers turbulence, Phys. Rev. Lett. 83 (1999), 2572-2575.
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 2572-2575
-
-
Weinan, E.1
Eijnden, E.V.2
-
15
-
-
0000595688
-
One-dimensional periodic structures in a weak random potential
-
M. V. FEIGELMAN, One-dimensional periodic structures in a weak random potential, Sov. Phys. JETP 52 (1980), 555-561.
-
(1980)
Sov. Phys. JETP
, vol.52
, pp. 555-561
-
-
Feigelman, M.V.1
-
16
-
-
0003957604
-
-
Springer-Verlag, New York
-
M. I. FREIDLIN and A. D. WENTZELL, Random Perturbations of Dynamical Systems, Fundamental Principles of Math. Sci. 260, Springer-Verlag, New York, 1984.
-
(1984)
Random Perturbations of Dynamical Systems, Fundamental Principles of Math. Sci.
, vol.260
-
-
Freidlin, M.I.1
Wentzell, A.D.2
-
17
-
-
0027395636
-
Statistics of decaying Burgers turbulence
-
T. GOTOH and R. H. KRAICHNAN, Statistics of decaying Burgers turbulence, Phys. Fluids A 5 (1993), 445-457.
-
(1993)
Phys. Fluids A
, vol.5
, pp. 445-457
-
-
Gotoh, T.1
Kraichnan, R.H.2
-
18
-
-
0032209644
-
Burgers turbulence with large scale forcing
-
T. GOTOH and R. H. KRAICHNAN, Burgers turbulence with large scale forcing, Phys. Fluids A 10 (1998), 2859-2866.
-
(1998)
Phys. Fluids A
, vol.10
, pp. 2859-2866
-
-
Gotoh, T.1
Kraichnan, R.H.2
-
19
-
-
0000686510
-
Instantons in Burgers equations
-
V. GURARIE and A. MIGDAL, Instantons in Burgers equations, Phys. Rev. E 54 (1996), 4908.
-
(1996)
Phys. Rev. E
, vol.54
, pp. 4908
-
-
Gurarie, V.1
Migdal, A.2
-
20
-
-
0000704689
-
Geodesics on two-dimensional Riemann manifold with periodic coefficients
-
G. A. HEDLUND, Geodesics on two-dimensional Riemann manifold with periodic coefficients, Ann. of Math. 33 (1932), 719-739.
-
(1932)
Ann. of Math.
, vol.33
, pp. 719-739
-
-
Hedlund, G.A.1
-
21
-
-
0000158903
-
On the right weak solution of the Cauchy problem for a quasilinear equation of first order
-
E. HOPF, On the right weak solution of the Cauchy problem for a quasilinear equation of first order, J. Math. Mech. 19 (1969), 483-487.
-
(1969)
J. Math. Mech.
, vol.19
, pp. 483-487
-
-
Hopf, E.1
-
22
-
-
0001392137
-
A classification of the second order degenerate elliptic operators and its probabilistic characterization
-
K. ICHIHARA and H. KUNITA, A classification of the second order degenerate elliptic operators and its probabilistic characterization, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 30 (1974), 235-254.
-
(1974)
Z. Wahrscheinlichkeitstheorie und Verw. Gebiete
, vol.30
, pp. 235-254
-
-
Ichihara, K.1
Kunita, H.2
-
23
-
-
0000186055
-
On the forced Burgers equation with periodic boundary conditions
-
A.M.S., Providence, RI
-
H. R. JAUSLIN, H. O. KREISS, and J. MOSER, On the forced Burgers equation with periodic boundary conditions, 133-153, in Differential Equations: La Pietra 1996, Proc. Sympos. Pure Math. 65 A.M.S., Providence, RI, 1999.
-
(1999)
Differential Equations: La Pietra 1996, Proc. Sympos. Pure Math.
, vol.65
, pp. 133-153
-
-
Jauslin, H.R.1
Kreiss, H.O.2
Moser, J.3
-
24
-
-
0031138516
-
The Burgers equation with a random force and a general model for directed polymers in random environments
-
Y. KIFER, The Burgers equation with a random force and a general model for directed polymers in random environments, Probab. Theory Related Fields 108 (1997), 29-65.
-
(1997)
Probab. Theory Related Fields
, vol.108
, pp. 29-65
-
-
Kifer, Y.1
-
25
-
-
1542562557
-
r-norms of stochastic flows and applications
-
Swansea, Springer-Verlag, New York
-
r-norms of stochastic flows and applications, Lecture Notes in Math., Stochastic Mechanics and Stochastic Processes (Swansea, 1986) 1325 Springer-Verlag, New York, 1988, 125-131.
-
(1986)
Lecture Notes in Math., Stochastic Mechanics and Stochastic Processes
, vol.1325
, pp. 125-131
-
-
-
26
-
-
0003067890
-
Kinetic roughening of growing surfaces
-
(G. C. Godreche, ed.), Cambridge University Press, England
-
J. KRUG and H. SPOHN, Kinetic roughening of growing surfaces, in Solids Far from Equilibrium (G. C. Godreche, ed.), Cambridge University Press, England, 1992.
-
(1992)
Solids Far from Equilibrium
-
-
Krug, J.1
Spohn, H.2
-
27
-
-
84980077727
-
Hyperbolic systems of conservation laws. II
-
P. D. LAX, Hyperbolic systems of conservation laws. II, Comm. Pure Appl. Math. 10 (1957), 537-566.
-
(1957)
Comm. Pure Appl. Math.
, vol.10
, pp. 537-566
-
-
Lax, P.D.1
-
28
-
-
0030514141
-
Geodesies in two-dimensional first-passage percolation
-
C. LICEA and C. M. NEWMAN, Geodesies in two-dimensional first-passage percolation, Ann. of Probab. 24 (1996), 399-410.
-
(1996)
Ann. of Probab.
, vol.24
, pp. 399-410
-
-
Licea, C.1
Newman, C.M.2
-
30
-
-
0000456667
-
Existence of quasiperiodic orbits for twist homeomorphisms of the annulus
-
J. N. MATHER, Existence of quasiperiodic orbits for twist homeomorphisms of the annulus, Topology 21 (1982), 457-467.
-
(1982)
Topology
, vol.21
, pp. 457-467
-
-
Mather, J.N.1
-
32
-
-
0001788461
-
A fundamental class of geodesics on any closed surface of genus greater than one
-
M. MORSE, A fundamental class of geodesics on any closed surface of genus greater than one, Trans. A.M.S. 26 (1924), 25-60.
-
(1924)
Trans. A.M.S.
, vol.26
, pp. 25-60
-
-
Morse, M.1
-
33
-
-
0003379835
-
A surface view of first-passage percolation
-
Zürich, Birkhäuser, Boston
-
C. M. NEWMAN, A surface view of first-passage percolation, Proc. ICM-94 (Zürich, 1994), 1017-1025, Birkhäuser, Boston, 1995.
-
(1994)
Proc. ICM-94
, pp. 1017-1025
-
-
Newman, C.M.1
-
34
-
-
0000543733
-
A multiplicative ergodic theorem, lyapunov characteristic numbers for dynamical systems
-
V. I. OSELEDEC, A multiplicative ergodic theorem, Lyapunov characteristic numbers for dynamical systems, Trans. Moscow Math. Soc. 19 (1968), 197-231.
-
(1968)
Trans. Moscow Math. Soc.
, vol.19
, pp. 197-231
-
-
Oseledec, V.I.1
-
35
-
-
0002281210
-
Discontinuous solutions of non-linear differential equations
-
O. A. OLEǏNIK, Discontinuous solutions of non-linear differential equations, Uspekhi Mat. Nauk 12 (1957), 3-73.
-
(1957)
Uspekhi Mat. Nauk
, vol.12
, pp. 3-73
-
-
Oleǐnik, O.A.1
-
37
-
-
84961291543
-
Characteristic lyapunov exponents and smooth ergodic theory
-
YA. B. PESIN, Characteristic Lyapunov exponents and smooth ergodic theory, Russian Math. Surveys 32 (1977), 55-114.
-
(1977)
Russian Math. Surveys
, vol.32
, pp. 55-114
-
-
Pesin, Ya.B.1
-
38
-
-
0000455520
-
Turbulence without pressure
-
A. POLYAKOV, Turbulence without pressure, Phys. Rev. E 52 (1995), 6183-6188.
-
(1995)
Phys. Rev. E
, vol.52
, pp. 6183-6188
-
-
Polyakov, A.1
-
39
-
-
51649166261
-
Ergodic theory of differentiable dynamical systems
-
D. RUELLE, Ergodic theory of differentiable dynamical systems, Publ. IHES 50 (1979), 27-58.
-
(1979)
Publ. IHES
, vol.50
, pp. 27-58
-
-
Ruelle, D.1
-
40
-
-
33751098368
-
Two results concerning asymptotic behavior of solutions of the Burgers equation with force
-
YA. SINAI, Two results concerning asymptotic behavior of solutions of the Burgers equation with force, J. Statist. Phys. 64 (1991), 1-12.
-
(1991)
J. Statist. Phys.
, vol.64
, pp. 1-12
-
-
Sinai, Ya.1
-
41
-
-
0002075314
-
Burgers system driven by a periodic stochastic flow
-
Springer-Verlag, New York
-
_, Burgers system driven by a periodic stochastic flow, in Itô's Stochastic Calculus and Probability Theory, 347-353 Springer-Verlag, New York, 1996.
-
(1996)
Itô's Stochastic Calculus and Probability Theory
, pp. 347-353
-
-
-
43
-
-
22844456446
-
Aubry-Mather theory and idempotent eigenfunctions of Bellman operator
-
A.N. SOBOLEVSKI, Aubry-Mather theory and idempotent eigenfunctions of Bellman operator, Commun. Contemp, Math. 1 (1999), 517-533.
-
(1999)
Commun. Contemp, Math.
, vol.1
, pp. 517-533
-
-
Sobolevski, A.N.1
-
45
-
-
0019347310
-
Description of turbulence in the Burgers model
-
I. G. YAKUSHKIN, Description of turbulence in the Burgers model, Radiophys. and Quantum Electronics 24 (1981), 41-48.
-
(1981)
Radiophys. and Quantum Electronics
, vol.24
, pp. 41-48
-
-
Yakushkin, I.G.1
-
46
-
-
0003005736
-
Ergodic theory of differentiable dynamical systems
-
Branner and Hjorth, eds., Kluwer Acad. Publ., Dordrecht
-
L. S. YOUNG, Ergodic theory of differentiable dynamical systems, in Real and Complex Dynamical Systems (Branner and Hjorth, eds.), 293-336, Kluwer Acad. Publ., Dordrecht, 1995.
-
(1995)
Real and Complex Dynamical Systems
, pp. 293-336
-
-
Young, L.S.1
|