-
1
-
-
84927349471
-
On the statistical distribution of the widths and spacings of nuclear resonance levels
-
Wigner E P 1950 On the statistical distribution of the widths and spacings of nuclear resonance levels Proc. Camb. Phil. Soc. 47 790
-
(1950)
Proc. Camb. Phil. Soc.
, vol.47
, pp. 790
-
-
Wigner, E.P.1
-
2
-
-
0000840166
-
Characteristic vectors of bordered matrices with infinite dimensions
-
Wigner E P 1955 Characteristic vectors of bordered matrices with infinite dimensions Ann. Math. 62 548-64
-
(1955)
Ann. Math.
, vol.62
, Issue.3
, pp. 548-564
-
-
Wigner, E.P.1
-
3
-
-
0000044024
-
Characteristic vectors of bordered matrices with infinite dimensions: II
-
Wigner E P 1957 Characteristic vectors of bordered matrices with infinite dimensions: II Ann. Math. 65 203-7
-
(1957)
Ann. Math.
, vol.65
, Issue.2
, pp. 203-207
-
-
Wigner, E.P.1
-
4
-
-
35549006412
-
Statistical theory of the energy levels of complex systems: I
-
Dyson F J 1962 Statistical theory of the energy levels of complex systems: I J. Math. Phys. 3 140-56
-
(1962)
J. Math. Phys.
, vol.3
, Issue.1
, pp. 140-156
-
-
Dyson, F.J.1
-
5
-
-
0141913605
-
Statistical theory of the energy levels of complex systems: II
-
Dyson F J 1962 Statistical theory of the energy levels of complex systems: II J. Math. Phys. 3 157-65
-
(1962)
J. Math. Phys.
, vol.3
, Issue.1
, pp. 157-165
-
-
Dyson, F.J.1
-
6
-
-
0242436583
-
Statistical theory of the energy levels of complex systems: III
-
Dyson F J 1962 Statistical theory of the energy levels of complex systems: III J. Math. Phys. 3 166-75
-
(1962)
J. Math. Phys.
, vol.3
, Issue.1
, pp. 166-175
-
-
Dyson, F.J.1
-
7
-
-
0001755436
-
The threefold way: Algebraic structure of symmetry groups and ensembles in quantum mechanics
-
Dyson F J 1962 The threefold way: algebraic structure of symmetry groups and ensembles in quantum mechanics J. Math. Phys. 3 1199-215
-
(1962)
J. Math. Phys.
, vol.3
, Issue.6
, pp. 1199-1215
-
-
Dyson, F.J.1
-
8
-
-
33744543538
-
Planar diagram theory for strong interactions
-
't Hooft G 1974 Planar diagram theory for strong interactions Nucl. Phys. B 72 461
-
(1974)
Nucl. Phys.
, vol.72
, Issue.3
, pp. 461
-
-
'T Hooft, G.1
-
10
-
-
17144426793
-
Ising model on a dynamical planar random lattice: Exact solution
-
Kazakov V A 1986 Ising model on a dynamical planar random lattice: exact solution Phys. Lett. A 119 140-4
-
(1986)
Phys. Lett.
, vol.119
, Issue.3
, pp. 140-144
-
-
Kazakov, V.A.1
-
11
-
-
48249127820
-
Matrix models as conformal field theories
-
Kostov I K 2006 Matrix models as conformal field theories Applications of Random Matrices in Physics (NATO Sci. Ser. II: Math. Phys. Chem. vol 221) (Dordrecht: Springer) pp 459-87
-
(2006)
Applications of Random Matrices in Physics
, vol.221
, pp. 459-487
-
-
Kostov, I.K.1
-
12
-
-
0034631525
-
Disordered 2d quasiparticles in class D: Dirac fermions with random mass, and dirty superconductors
-
Bocquet M, Serban D and Zirnbauer M R 2000 Disordered 2d quasiparticles in class D: Dirac fermions with random mass, and dirty superconductors Nucl. Phys. B 578 628-80
-
(2000)
Nucl. Phys.
, vol.578
, Issue.3
, pp. 628-680
-
-
Bocquet, M.1
Serban, D.2
Zirnbauer, M.R.3
-
13
-
-
34547152622
-
The distribution of eigenvalues of the Schrödinger equation with a random potential
-
Pastur L A 1972 The distribution of eigenvalues of the Schrödinger equation with a random potential Funct. Anal. Priloen. 6 93-4
-
(1972)
Funct. Anal. Priloen.
, vol.6
, pp. 93-94
-
-
Pastur, L.A.1
-
14
-
-
0001842999
-
Disordered electronic system as a model of interacting matrices
-
Wegner F 1980 Disordered electronic system as a model of interacting matrices Phys. Rep. 67 15-24 (Common trends in particle and condensed matter physics (Proc. Winter Adv. Study Inst., Les Houches, 1980))
-
(1980)
Phys. Rep.
, vol.67
, Issue.1
, pp. 15-24
-
-
Wegner, F.1
-
15
-
-
0020498290
-
Supersymmetry and theory of disordered metals
-
Efetov K B 1983 Supersymmetry and theory of disordered metals Adv. Phys. 32 53-127
-
(1983)
Adv. Phys.
, vol.32
, Issue.1
, pp. 53-127
-
-
Efetov, K.B.1
-
17
-
-
3242687236
-
Complexity of random energy landscapes, glass transition, and absolute value of the spectral determinant of random matrices
-
Fyodorov Y V 2004 Complexity of random energy landscapes, glass transition, and absolute value of the spectral determinant of random matrices Phys. Rev. Lett. 92 4
-
(2004)
Phys. Rev. Lett.
, vol.92
, Issue.24
, pp. 240601
-
-
Fyodorov, Y.V.1
-
19
-
-
0009435213
-
c = 2 and chiral random matrix theory
-
c = 2 and chiral random matrix theory Nucl. Phys. B 426 559-74
-
(1994)
Nucl. Phys.
, vol.426
, Issue.3
, pp. 559-574
-
-
Verbaarschot, J.1
-
20
-
-
4043059543
-
On matrix model partition functions for QCD with chemical potential
-
Akemann G, Fyodorov Y V and Vernizzi G 2004 On matrix model partition functions for QCD with chemical potential Nucl. Phys. B 694 59-98
-
(2004)
Nucl. Phys.
, vol.694
, Issue.1-2
, pp. 59-98
-
-
Akemann, G.1
Fyodorov, Y.V.2
Vernizzi, G.3
-
21
-
-
33748543353
-
On the capacity of the multiple antenna broadcast channel
-
Tse D and Viswanath P 2003 On the capacity of the multiple antenna broadcast channel Multiantenna channels: capacity, coding and signal processing (Piscataway, NJ, 2002) (DIMACS Ser. Discrete Math. Theor. Comput. Sci. vol 62) (Providence, RI: American Mathematical Society) pp 87-105
-
(2003)
Multiantenna Channels: Capacity, Coding and Signal Processing
, pp. 87-105
-
-
Tse, D.1
Viswanath, P.2
-
22
-
-
23744504867
-
Current distribution and random matrix ensembles for an integrable asymmetric fragmentation process
-
Rkos A and Schütz G M 2005 Current distribution and random matrix ensembles for an integrable asymmetric fragmentation process J. Stat. Phys. 118 511-30
-
(2005)
J. Stat. Phys.
, vol.118
, Issue.3-4
, pp. 511-530
-
-
Rkos, A.1
Schütz, G.M.2
-
23
-
-
36148996233
-
Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates
-
Rkos A and Schütz G M 2006 Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates Markov Process. Relat. Fields 12 323-34
-
(2006)
Markov Process. Relat. Fields
, vol.12
, pp. 323-334
-
-
Rkos, A.1
Schütz, G.M.2
-
25
-
-
0004073954
-
-
Szeg G 1967 Orthogonal Polynomials (American Mathematical Society Colloquium Publications vol 23) 3rd edn (Providence, RI: American Mathematical Society)
-
(1967)
Orthogonal Polynomials
-
-
Szeg, G.1
-
27
-
-
0037471328
-
Partition functions for matrix models and isomonodromic tau functions
-
Bertola M, Eynard B and Harnad J 2003 Partition functions for matrix models and isomonodromic tau functions J. Phys. A 36 3067
-
(2003)
J. Phys. A
, vol.36
, Issue.12
, pp. 3067
-
-
Bertola, M.1
Eynard, B.2
Harnad, J.3
-
28
-
-
0346995411
-
Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem
-
Bertola M, Eynard B and Harnad J 2003 Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem Commun. Math. Phys. 243 193
-
(2003)
Commun. Math. Phys.
, vol.243
, Issue.2
, pp. 193
-
-
Bertola, M.1
Eynard, B.2
Harnad, J.3
-
29
-
-
2442557222
-
Double scaling limit in the random matrix model: The Riemann-Hilbert approach
-
Bleher P and Its A 2003 Double scaling limit in the random matrix model: the Riemann-Hilbert approach Commun. Pure Appl. Math. 56 433-516
-
(2003)
Commun. Pure Appl. Math.
, vol.56
, Issue.4
, pp. 433-516
-
-
Bleher, P.1
Its, A.2
-
31
-
-
0037471327
-
Large scale correlations in normal and general non-Hermitian matrix ensembles
-
Wiegmann P and Zabrodin A 2003 Large scale correlations in normal and general non-Hermitian matrix ensembles J. Phys. A 36 3411
-
(2003)
J. Phys. A
, vol.36
, Issue.12
, pp. 3411
-
-
Wiegmann, P.1
Zabrodin, A.2
-
32
-
-
11144328252
-
Normal random matrix ensemble as a growth problem
-
Teodorescu R, Bettelheim E, Agam O, Zabrodin A and Wiegmann P 2005 Normal random matrix ensemble as a growth problem Nucl. Phys. B 704 407-44
-
(2005)
Nucl. Phys.
, vol.704
, Issue.3
, pp. 407-444
-
-
Teodorescu, R.1
Bettelheim, E.2
Agam, O.3
Zabrodin, A.4
Wiegmann, P.5
-
33
-
-
0004163930
-
-
Mehta M L 2004 Random Matrices (Pure and Applied Mathematics (Amsterdam) vol 142) 3rd edn (Amsterdam: Elsevier)
-
(2004)
Random Matrices
-
-
Mehta, M.L.1
-
34
-
-
0036850051
-
Matrix models for beta ensembles
-
Dumitriu I and Edelman A 2002 Matrix models for beta ensembles J. Math. Phys. 43 5830-47
-
(2002)
J. Math. Phys.
, vol.43
, Issue.11
, pp. 5830-5847
-
-
Dumitriu, I.1
Edelman, A.2
-
35
-
-
0001703129
-
Statistical ensembles of complex, quaternion, and real matrices
-
Ginibre J 1965 Statistical ensembles of complex, quaternion, and real matrices J. Math. Phys. 6 440-9
-
(1965)
J. Math. Phys.
, vol.6
, Issue.3
, pp. 440-449
-
-
Ginibre, J.1
-
37
-
-
0002728031
-
The spectrum of random matrices
-
Pastur L A 1972 The spectrum of random matrices Teoret. Mat. Fiz. 10 102-12
-
(1972)
Teoret. Mat. Fiz.
, vol.10
, Issue.1
, pp. 102-112
-
-
Pastur, L.A.1
-
38
-
-
8744253703
-
Deviations from the circular law
-
Rider B 2004 Deviations from the circular law Probab. Theory Relat. Fields 130 337-67
-
(2004)
Probab. Theory Relat. Fields
, vol.130
, Issue.3
, pp. 337-367
-
-
Rider, B.1
-
39
-
-
17744389243
-
On the largest singular values of random matrices with independent Cauchy entries
-
Soshnikov A and Fyodorov Y V 2005 On the largest singular values of random matrices with independent Cauchy entries J. Math. Phys. 46 033302
-
(2005)
J. Math. Phys.
, vol.46
, Issue.3
, pp. 033302
-
-
Soshnikov, A.1
Fyodorov, Y.V.2
-
40
-
-
17744389243
-
On the largest singular values of random matrices with independent Cauchy entries
-
Soshnikov A and Fyodorov Y V 2005 On the largest singular values of random matrices with independent Cauchy entries J. Math. Phys. 46 15
-
(2005)
J. Math. Phys.
, vol.46
, Issue.3
, pp. 033302
-
-
Soshnikov, A.1
Fyodorov, Y.V.2
-
41
-
-
33750007923
-
A generalization of Wigner's law
-
Zakharevich I 2006 A generalization of Wigner's law Commun. Math. Phys. 268 403-14
-
(2006)
Commun. Math. Phys.
, vol.268
, Issue.2
, pp. 403-414
-
-
Zakharevich, I.1
-
42
-
-
0032475010
-
On the structure of normal matrix model
-
Chau L-L and Zaboronsky O 1998 On the structure of normal matrix model Commun. Math. Phys. 196 203
-
(1998)
Commun. Math. Phys.
, vol.196
, Issue.1
, pp. 203
-
-
Chau, L.-L.1
Zaboronsky, O.2
-
45
-
-
0037232418
-
Duality of spectral curves arising in two-matrix models
-
Bertola M, Eynard B and Harnad J 2003 Duality of spectral curves arising in two-matrix models Theor. Math. Phys. 134 32
-
(2003)
Theor. Math. Phys.
, vol.134
, Issue.1
, pp. 27
-
-
Bertola, M.1
Eynard, B.2
Harnad, J.3
-
46
-
-
0346995411
-
Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem
-
Bertola M, Eynard B and Harnad J 2003 Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem Commun. Math. Phys. 243 193
-
(2003)
Commun. Math. Phys.
, vol.243
, Issue.2
, pp. 193
-
-
Bertola, M.1
Eynard, B.2
Harnad, J.3
-
47
-
-
84990709711
-
The τ-function of the universal Whitham hierarchy, matrix models and topological field theories
-
Krichever I M 1994 The τ-function of the universal Whitham hierarchy, matrix models and topological field theories Commun. Pure Appl. Math. 47 437-75
-
(1994)
Commun. Pure Appl. Math.
, vol.47
, Issue.4
, pp. 437-475
-
-
Krichever, I.M.1
-
49
-
-
51249171561
-
On quadrature domains and an inverse problem in potential theory
-
Gustafsson B 1990 On quadrature domains and an inverse problem in potential theory J. Anal. Math. 55 172-216
-
(1990)
J. Anal. Math.
, vol.55
, pp. 172-216
-
-
Gustafsson, B.1
-
52
-
-
0001383598
-
The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
-
Saffman P G and Taylor G 1958 The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid Proc. R. Soc. A 245 312-29 (2 plates)
-
(1958)
Proc. R. Soc.
, vol.245
, Issue.1242
, pp. 312-329
-
-
Saffman, P.G.1
Taylor, G.2
-
56
-
-
0001722366
-
Eutectic solidification and marginal stability
-
Langer J S 1980 Eutectic solidification and marginal stability Phys. Rev. Lett. 44 1023-6
-
(1980)
Phys. Rev. Lett.
, vol.44
, Issue.15
, pp. 1023-1026
-
-
Langer, J.S.1
-
57
-
-
0042509693
-
Dendritic and fractal patterns in electrolytic metal deposits
-
Sawada Y, Dougherty A and Gollub J P 1986 Dendritic and fractal patterns in electrolytic metal deposits Phys. Rev. Lett. 56 1260-3
-
(1986)
Phys. Rev. Lett.
, vol.56
, Issue.12
, pp. 1260-1263
-
-
Sawada, Y.1
Dougherty, A.2
Gollub, J.P.3
-
59
-
-
4243632346
-
Diffusion-limited aggregation, a kinetic critical phenomenon
-
Witten T A and Sander L M 1981 Diffusion-limited aggregation, a kinetic critical phenomenon Phys. Rev. Lett. 47 1400-3
-
(1981)
Phys. Rev. Lett.
, vol.47
, Issue.19
, pp. 1400-1403
-
-
Witten, T.A.1
Sander, L.M.2
-
60
-
-
37649033092
-
Exact solutions for equilibrium configurations of charged conducting liquid jets
-
Zubarev N M and Zubareva O V 2005 Exact solutions for equilibrium configurations of charged conducting liquid jets Phys. Rev. E 71 016307
-
(2005)
Phys. Rev.
, vol.71
, Issue.1
, pp. 016307
-
-
Zubarev, N.M.1
Zubareva, O.V.2
-
63
-
-
0004168443
-
-
Lamb H 1993 Hydrodynamics (Cambridge Mathematical Library) 6th edn (Cambridge: Cambridge University Press)
-
(1993)
Hydrodynamics
-
-
Lamb, H.1
-
68
-
-
0001378829
-
Singularities in nonlocal interface dynamics
-
Shraiman B and Bensimon D 1984 Singularities in nonlocal interface dynamics Phys. Rev. A 30 2840-2842
-
(1984)
Phys. Rev.
, vol.30
, Issue.5
, pp. 2840-2842
-
-
Shraiman, B.1
Bensimon, D.2
-
69
-
-
0002431365
-
Diffusion-limited aggregation: A model for pattern formation
-
Halsey T C 2000 Diffusion-limited aggregation: a model for pattern formation Phys. Today 53 36-41
-
(2000)
Phys. Today
, vol.53
, Issue.11
, pp. 36-41
-
-
Halsey, T.C.1
-
70
-
-
36148984000
-
Laplacian growth and diffusion limited aggregation: Different universality classes
-
Barra F, Davidovitch B, Levermann A and Procaccia I 2001 Laplacian growth and diffusion limited aggregation: different universality classes Phys. Rev. Lett. 87 134501
-
(2001)
Phys. Rev. Lett.
, vol.87
, Issue.13
, pp. 134501
-
-
Barra, F.1
Davidovitch, B.2
Levermann, A.3
Procaccia, I.4
-
71
-
-
27244447370
-
Fractal dimension and unscreened angles measured for radial viscous fingering
-
Praud O and Swinney H L 2005 Fractal dimension and unscreened angles measured for radial viscous fingering Phys. Rev. E 72 011406
-
(2005)
Phys. Rev.
, vol.72
, Issue.1
, pp. 011406
-
-
Praud, O.1
Swinney, H.L.2
-
72
-
-
0002981556
-
Needle models of Laplacian growth
-
Derrida B and Hakim V 1992 Needle models of Laplacian growth Phys. Rev. A 45 8759-8765
-
(1992)
Phys. Rev.
, vol.45
, Issue.12
, pp. 8759-8765
-
-
Derrida, B.1
Hakim, V.2
-
73
-
-
29444437472
-
Spontaneous symmetry breaking in needle crystal growth
-
Peterson M A and Ferry J 1989 Spontaneous symmetry breaking in needle crystal growth Phys. Rev. A 39 2740-2741
-
(1989)
Phys. Rev.
, vol.39
, Issue.5
, pp. 2740-2741
-
-
Peterson, M.A.1
Ferry, J.2
-
74
-
-
33746012315
-
Free energy of a nonuniform system: I. Interfacial free energy
-
Cahn J W and Hilliard J E 1958 Free energy of a nonuniform system: I. Interfacial free energy J. Chem. Phys. 28 258-67
-
(1958)
J. Chem. Phys.
, vol.28
, Issue.2
, pp. 258-267
-
-
Cahn, J.W.1
Hilliard, J.E.2
-
75
-
-
0033099917
-
Pattern formation in nonequilibrium physics
-
Gollub J P and Langer J S 1999 Pattern formation in nonequilibrium physics Rev. Mod. Phys. 71 S396-403
-
(1999)
Rev. Mod. Phys.
, vol.71
, Issue.2
-
-
Gollub, J.P.1
Langer, J.S.2
-
76
-
-
0035896816
-
Phase field microelasticity theory and modeling of multiple dislocation dynamics
-
Wang Y U, Jin Y M, Cuitĩo A M and Khachaturyan A G 2001 Phase field microelasticity theory and modeling of multiple dislocation dynamics Appl. Phys. Lett. 78 1847-57
-
(2001)
Appl. Phys. Lett.
, vol.78
, Issue.16
, pp. 2324-1857
-
-
Wang, Y.U.1
Jin, Y.M.2
Cuitĩo, A.M.3
Khachaturyan, A.G.4
-
77
-
-
44949291022
-
Diffusion-limited growth in bacterial colony formation
-
Matsushita M and Fujikawa H 1990 Diffusion-limited growth in bacterial colony formation Phys. Stat. Mech. Appl. 168 498-506
-
(1990)
Phys. Stat. Mech. Appl.
, vol.168
, Issue.1
, pp. 498-506
-
-
Matsushita, M.1
Fujikawa, H.2
-
79
-
-
0002429644
-
Phase field equations in the singular limit of sharp interface problems
-
Caginalp G and Chen X 1992 Phase field equations in the singular limit of sharp interface problems Inst. Math. Appl. 43 1-28
-
(1992)
Inst. Math. Appl.
, vol.43
, pp. 1-28
-
-
Caginalp, G.1
Chen, X.2
-
80
-
-
0000262022
-
Models of pattern formation in first-order phase transitions
-
Langer J S 1986 Models of pattern formation in first-order phase transitions Directions in Condensed Matter Physics (World Sci. Ser. Dir. Condensed Matter Phys. vol 1) (Singapore: World Scientific) pp 165-86
-
(1986)
Directions in Condensed Matter Physics
, pp. 165-186
-
-
Langer, J.S.1
-
81
-
-
0000409950
-
A note on the motion of bubbles in a Hele-Shaw cell and porous medium
-
Taylor G and Saffman P G 1959 A note on the motion of bubbles in a Hele-Shaw cell and porous medium Q. J. Mech. Appl. Math. 12 265-79
-
(1959)
Q. J. Mech. Appl. Math.
, vol.12
, Issue.3
, pp. 265-279
-
-
Taylor, G.1
Saffman, P.G.2
-
82
-
-
0034271677
-
Analytic solution for two bubbles in a Hele-Shaw cell
-
Vasconcelos G L 2000 Analytic solution for two bubbles in a Hele-Shaw cell Phys. Rev. E 62 R3047-50
-
(2000)
Phys. Rev.
, vol.62
, Issue.3
-
-
Vasconcelos, G.L.1
-
83
-
-
0000375409
-
Mode selection in a dendritelike nonlinear system
-
Langer J S and Müller-Krumbhaar H 1983 Mode selection in a dendritelike nonlinear system Phys. Rev. A 27 499-514
-
(1983)
Phys. Rev.
, vol.27
, Issue.1
, pp. 499-514
-
-
Langer, J.S.1
Müller-Krumbhaar, H.2
-
84
-
-
0027592298
-
Capillarity-driven plane stokes flow exterior to a parabola
-
Hopper R W 1993 Capillarity-driven plane stokes flow exterior to a parabola Q. J. Mech. Appl. Math. 46 193-210
-
(1993)
Q. J. Mech. Appl. Math.
, vol.46
, Issue.2
, pp. 193-210
-
-
Hopper, R.W.1
-
85
-
-
0642363880
-
Two-dimensional Stokes flows with time-dependent free boundaries driven by surface tension
-
Richardson S 1997 Two-dimensional Stokes flows with time-dependent free boundaries driven by surface tension Eur. J. Appl. Math. 8 311-29
-
(1997)
Eur. J. Appl. Math.
, vol.8
, pp. 311-329
-
-
Richardson, S.1
-
86
-
-
0001254826
-
A theory of exact solutions for annular viscous blobs
-
Crowdy D and Tanveer S 1998 A theory of exact solutions for annular viscous blobs J. Nonlinear Sci. 8 375-400
-
(1998)
J. Nonlinear Sci.
, vol.8
, Issue.4
, pp. 375-400
-
-
Crowdy, D.1
Tanveer, S.2
-
87
-
-
11744293960
-
A finite polynomial solution of the two-dimensional interface dynamics
-
Mineev M B 1990 A finite polynomial solution of the two-dimensional interface dynamics Physica D 43 288-92
-
(1990)
Physica
, vol.43
, Issue.2-3
, pp. 288-292
-
-
Mineev, M.B.1
-
88
-
-
84971920974
-
Complex variable methods in Hele-Shaw moving boundary problems
-
Howison S D 1992 Complex variable methods in Hele-Shaw moving boundary problems Eur. J. Appl. Math. 3 209-24
-
(1992)
Eur. J. Appl. Math.
, vol.3
, pp. 209-224
-
-
Howison, S.D.1
-
89
-
-
0642377850
-
On some particular solutions of the problem of filtration
-
Vinogradov Yu P and Kufarev P P 1947 On some particular solutions of the problem of filtration Dok. Akad. Nauk SSSR 57 335-8
-
(1947)
Dok. Akad. Nauk SSSR
, vol.57
, pp. 335-338
-
-
Vinogradov Yu, P.1
Kufarev, P.P.2
-
90
-
-
33645094290
-
Exact solutions for the growth of fingers from a flat interface between two fluids in a porous medium or Hele-Shaw cell
-
Saffman P G 1959 Exact solutions for the growth of fingers from a flat interface between two fluids in a porous medium or Hele-Shaw cell Q. J. Mech. Appl. Math. 12 146-50
-
(1959)
Q. J. Mech. Appl. Math.
, vol.12
, Issue.2
, pp. 146-150
-
-
Saffman, P.G.1
-
91
-
-
0041810779
-
Tip-splitting solutions to a Stefan problem
-
Bensimon D and Pelcé P 1986 Tip-splitting solutions to a Stefan problem Phys. Rev. A 33 4477-8
-
(1986)
Phys. Rev.
, vol.33
, Issue.6
, pp. 4477-4478
-
-
Bensimon, D.1
Pelcé, P.2
-
92
-
-
0022733938
-
Fingering in Hele-Shaw cells
-
Howison S D 1986 Fingering in Hele-Shaw cells J. Fluid Mech. 167 439-53
-
(1986)
J. Fluid Mech.
, vol.167
, pp. 439-453
-
-
Howison, S.D.1
-
93
-
-
4243284590
-
Class of nonsingular exact solutions for Laplacian pattern formation
-
Mineev-Weinstein M B and Dawson S P 1994 Class of nonsingular exact solutions for Laplacian pattern formation Phys. Rev. E 50 R24-R27
-
(1994)
Phys. Rev.
, vol.50
, Issue.1
-
-
Mineev-Weinstein, M.B.1
Dawson, S.P.2
-
94
-
-
0000460599
-
Long-time behavior of the N-finger solution of the Laplacian growth equation
-
Dawson S P and Mineev-Weinstein M 1994 Long-time behavior of the N-finger solution of the Laplacian growth equation Physica D 73 373-87
-
(1994)
Physica
, vol.73
, Issue.4
, pp. 373-387
-
-
Dawson, S.P.1
Mineev-Weinstein, M.2
-
95
-
-
0015491441
-
Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
-
Richardson S 1972 Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel J. Fluid Mech. 56 609-18
-
(1972)
J. Fluid Mech.
, vol.56
, Issue.4
, pp. 609-618
-
-
Richardson, S.1
-
98
-
-
0000132672
-
The effect of surface tension on the shape of a Hele-Shaw cell bubble
-
Tanveer S 1986 The effect of surface tension on the shape of a Hele-Shaw cell bubble Phys. Fluids 29 3537-48
-
(1986)
Phys. Fluids
, vol.29
, Issue.11
, pp. 3537-3548
-
-
Tanveer, S.1
-
99
-
-
0001191658
-
Regularity of a boundary having a Schwarz function
-
Sakai M 1991 Regularity of a boundary having a Schwarz function Acta Math. 166 263-97
-
(1991)
Acta Math.
, vol.166
, Issue.1
, pp. 263-297
-
-
Sakai, M.1
-
100
-
-
21144459538
-
Regularity of boundaries of quadrature domains in two dimensions
-
Sakai M 1993 Regularity of boundaries of quadrature domains in two dimensions SIAM J. Math. Anal. 24 341-64
-
(1993)
SIAM J. Math. Anal.
, vol.24
, Issue.2
, pp. 341-364
-
-
Sakai, M.1
-
101
-
-
0000697048
-
Regularity of free boundaries in two dimensions
-
Sakai M 1993 Regularity of free boundaries in two dimensions Ann. Scuola Norm. Sup. Pisa Cl. Sci. 20 (4) 323-39
-
(1993)
Ann. Scuola Norm. Sup. Pisa Cl. Sci.
, vol.20
, Issue.4
, pp. 323-339
-
-
Sakai, M.1
-
102
-
-
0022664109
-
Cusp development in Hele-Shaw flow with a free surface
-
Howison S D 1986 Cusp development in Hele-Shaw flow with a free surface SIAM J. Appl. Math. 46 20-6
-
(1986)
SIAM J. Appl. Math.
, vol.46
, Issue.1
, pp. 20-26
-
-
Howison, S.D.1
-
104
-
-
0027790933
-
On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows
-
Hohlov Y E and Howison S D 1993 On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows Q. Appl. Math. 51 777-89
-
(1993)
Q. Appl. Math.
, vol.51
, pp. 777-789
-
-
Hohlov, Y.E.1
Howison, S.D.2
-
105
-
-
84974510185
-
Persistence of corners in free boundaries in Hele-Shaw flow
-
King J R, Lacey A A and Vzquez J L 1995 Persistence of corners in free boundaries in Hele-Shaw flow Eur. J. Appl. Math. 6 455-90 (Complex analysis and free boundary problems (St Petersburg, 1994))
-
(1995)
Eur. J. Appl. Math.
, vol.6
, pp. 455-490
-
-
King, J.R.1
Lacey, A.A.2
Vzquez, J.L.3
-
106
-
-
33244457411
-
Singular limit of Hele-Shaw flow and dispersive regularization of shock waves
-
Bettelheim E, Agam O, Zabrodin A and Wiegmann P 2005 Singular limit of Hele-Shaw flow and dispersive regularization of shock waves Phys. Rev. Lett. 95 244504
-
(2005)
Phys. Rev. Lett.
, vol.95
, Issue.24
, pp. 244504
-
-
Bettelheim, E.1
Agam, O.2
Zabrodin, A.3
Wiegmann, P.4
-
107
-
-
27644450384
-
Quadrature domains and kernel function zipping
-
Bell S R 2005 Quadrature domains and kernel function zipping Ark. Mat. 43 271-87
-
(2005)
Ark. Mat.
, vol.43
, Issue.2
, pp. 271-287
-
-
Bell, S.R.1
-
108
-
-
62649144609
-
The Bergman kernel and quadrature domains in the plane
-
Bell S R 2005 The Bergman kernel and quadrature domains in the plane Quadrature Domains and Their Applications (Oper. Theory Adv. Appl. vol 156) (Basle: Birkhäuser) pp 61-78
-
(2005)
Quadrature Domains and Their Applications
, vol.156
, pp. 61-78
-
-
Bell, S.R.1
-
109
-
-
0000962690
-
Quadrature identities and the Schottky double
-
Gustafsson B 1983 Quadrature identities and the Schottky double Acta Appl. Math. 1 209-40
-
(1983)
Acta Appl. Math.
, vol.1
, Issue.3
, pp. 209-240
-
-
Gustafsson, B.1
-
110
-
-
51249175348
-
Singular and special points on quadrature domains from an algebraic geometric point of view
-
Gustafsson B 1988 Singular and special points on quadrature domains from an algebraic geometric point of view J. Anal. Math. 51 91-117
-
(1988)
J. Anal. Math.
, vol.51
, pp. 91-117
-
-
Gustafsson, B.1
-
113
-
-
51249192119
-
Domains on which analytic functions satisfy quadrature identities
-
Aharonov D and Shapiro H S 1976 Domains on which analytic functions satisfy quadrature identities J. Anal. Math. 30 39-73
-
(1976)
J. Anal. Math.
, vol.30
, pp. 39-73
-
-
Aharonov, D.1
Shapiro, H.S.2
-
116
-
-
33845874378
-
Analytic continuation of the exponential transform from convex cavities
-
Gustafsson B and Putinar M 2007 Analytic continuation of the exponential transform from convex cavities J. Math. Anal. Appl. 328 995-1006
-
(2007)
J. Math. Anal. Appl.
, vol.328
, Issue.2
, pp. 995-1006
-
-
Gustafsson, B.1
Putinar, M.2
-
117
-
-
0028423461
-
Properties of some balayage operators, with applications to quadrature domains and moving boundary problems
-
Gustafsson B and Sakai M 1994 Properties of some balayage operators, with applications to quadrature domains and moving boundary problems Nonlinear Anal. 22 1221-45
-
(1994)
Nonlinear Anal.
, vol.22
, Issue.10
, pp. 1221-1245
-
-
Gustafsson, B.1
Sakai, M.2
-
119
-
-
0038713386
-
Sharp estimates of the curvature of some free boundaries in two dimensions
-
Gustafsson B and Sakai M 2003 Sharp estimates of the curvature of some free boundaries in two dimensions Ann. Acad. Sci. Fenn. Math. 28 123-42
-
(2003)
Ann. Acad. Sci. Fenn. Math.
, vol.28
, Issue.1
, pp. 123-142
-
-
Gustafsson, B.1
Sakai, M.2
-
120
-
-
3042571151
-
On the curvature of the free boundary for the obstacle problem in two dimensions
-
Gustafsson B and Sakai M 2004 On the curvature of the free boundary for the obstacle problem in two dimensions Monatsh. Math. 142 1-5
-
(2004)
Monatsh. Math.
, vol.142
, Issue.1-2
, pp. 1-5
-
-
Gustafsson, B.1
Sakai, M.2
-
121
-
-
0002317807
-
An exponential transform and regularity of free boundaries in two dimensions
-
Gustafsson B and Putinar M 1998 An exponential transform and regularity of free boundaries in two dimensions Ann. Scuola Norm. Sup. Pisa Cl. Sci. 26 507-43
-
(1998)
Ann. Scuola Norm. Sup. Pisa Cl. Sci.
, vol.26
, pp. 507-543
-
-
Gustafsson, B.1
Putinar, M.2
-
122
-
-
4544248036
-
Constructing multiply connected quadrature domains
-
Crowdy D and Marshall J 2004 Constructing multiply connected quadrature domains SIAM J. Appl. Math. 64 1334-59 (electronic)
-
(2004)
SIAM J. Appl. Math.
, vol.64
, Issue.4
, pp. 1334-1359
-
-
Crowdy, D.1
Marshall, J.2
-
123
-
-
0041112312
-
Linear analysis of quadrature domains: II
-
Gustafsson B and Putinar M 2000 Linear analysis of quadrature domains: II Israel J. Math. 119 187-216
-
(2000)
Israel J. Math.
, vol.119
, Issue.1
, pp. 187-216
-
-
Gustafsson, B.1
Putinar, M.2
-
126
-
-
0004182159
-
-
Gardner R J 1995 Geometric Tomography (Encyclopedia of Mathematics and its Applications vol 58) (Cambridge: Cambridge University Press)
-
(1995)
Geometric Tomography
-
-
Gardner, R.J.1
-
129
-
-
0000190774
-
On a trace formula in perturbation theory
-
Krein M G 1953 On a trace formula in perturbation theory Mat. Sbornik 33 597-626
-
(1953)
Mat. Sbornik
, vol.33
, pp. 597-626
-
-
Krein, M.G.1
-
130
-
-
0001758451
-
Spectral analysis of rank one perturbations and applications
-
Simon B 1995 Spectral analysis of rank one perturbations and applications Mathematical Quantum Theory: II. Schrödinger Operatorss (CRM Proc. Lecture Notes vol 8) (Providence, RI: American Mathematical Society) pp 109-49
-
(1995)
Mathematical Quantum Theory: II. Schrödinger Operatorss
, pp. 109-149
-
-
Simon, B.1
-
131
-
-
0036432387
-
On a diagonal Padé approximation in two complex variables
-
Putinar M 2002 On a diagonal Padé approximation in two complex variables Numer. Math. 93 131-52
-
(2002)
Numer. Math.
, vol.93
, Issue.1
, pp. 131-152
-
-
Putinar, M.1
-
133
-
-
0000380961
-
Traces of commutators of integral operators
-
Helton J W and Howe R E 1975 Traces of commutators of integral operators Acta Math. 135 271-305
-
(1975)
Acta Math.
, vol.135
, Issue.1
, pp. 271-305
-
-
Helton, J.W.1
Howe, R.E.2
-
134
-
-
0001230096
-
Commutators and systems of singular integral equations: I
-
Pincus J D 1968 Commutators and systems of singular integral equations: I Acta Math. 121 219-49
-
(1968)
Acta Math.
, vol.121
, Issue.1
, pp. 219-249
-
-
Pincus, J.D.1
-
135
-
-
0000379516
-
An exponential formula for determining functions
-
Carey R W and Pincus J D 1973/74 An exponential formula for determining functions Indiana Univ. Math. J. 23 1031-42
-
(1973)
Indiana Univ. Math. J.
, vol.23
, Issue.11
, pp. 1031-1042
-
-
Carey, R.W.1
Pincus, J.D.2
-
136
-
-
0030584506
-
Extremal solutions of the two-dimensional L-problem of moments
-
Putinar M 1996 Extremal solutions of the two-dimensional L-problem of moments J. Funct. Anal. 136 331-64
-
(1996)
J. Funct. Anal.
, vol.136
, Issue.2
, pp. 331-364
-
-
Putinar, M.1
-
137
-
-
0040086123
-
Extremal solutions of the two-dimensional L-problem of moments: II
-
Putinar M 1998 Extremal solutions of the two-dimensional L-problem of moments: II J. Approx. Theory 92 38-58
-
(1998)
J. Approx. Theory
, vol.92
, Issue.1
, pp. 38-58
-
-
Putinar, M.1
-
138
-
-
0032329595
-
Sharp estimates of the distance from a fixed point to the frontier of a Hele-Shaw flow
-
Sakai M 1998 Sharp estimates of the distance from a fixed point to the frontier of a Hele-Shaw flow Potential Anal. 8 277-302
-
(1998)
Potential Anal.
, vol.8
, Issue.3
, pp. 277-302
-
-
Sakai, M.1
-
139
-
-
22844456755
-
Linear combinations of harmonic measures and quadrature domains of signed measures with small supports
-
Sakai M 1999 Linear combinations of harmonic measures and quadrature domains of signed measures with small supports Proc. Edinburgh Math. Soc. 42 433-44
-
(1999)
Proc. Edinburgh Math. Soc.
, vol.42
, pp. 433-444
-
-
Sakai, M.1
-
140
-
-
0030586519
-
A distortion theorem for quadrature domains for harmonic functions
-
Gustafsson B 1996 A distortion theorem for quadrature domains for harmonic functions J. Math. Anal. Appl. 202 169-82
-
(1996)
J. Math. Anal. Appl.
, vol.202
, Issue.1
, pp. 169-182
-
-
Gustafsson, B.1
-
141
-
-
15244342277
-
The Whitham hierarchy in growth problems
-
Zabrodin A V 2005 The Whitham hierarchy in growth problems Teor. Mat. Fiz. 142 197-217
-
(2005)
Teor. Mat. Fiz.
, vol.142
, Issue.2
, pp. 197-217
-
-
Zabrodin, A.V.1
-
143
-
-
20344377475
-
Ullemar's formula for the Jacobian of the complex moment mapping
-
Kuznetsova O S and Tkachev V G 2004 Ullemar's formula for the Jacobian of the complex moment mapping Complex Var. Theory Appl. 49 55-72
-
(2004)
Complex Var. Theory Appl.
, vol.49
, pp. 55-72
-
-
Kuznetsova, O.S.1
Tkachev, V.G.2
-
144
-
-
20344372641
-
Ullemar's formula for the moment map: II
-
Tkachev V G 2005 Ullemar's formula for the moment map: II Linear Algebra Appl. 404 380-8
-
(2005)
Linear Algebra Appl.
, vol.404
, pp. 380-388
-
-
Tkachev, V.G.1
-
145
-
-
85022302697
-
-
Ullemar C 1980 A uniqueness theorem for domains satisfying a quadrature identity for analytic functions Royal Institute of Technology TRITA-MAT-1980-37
-
(1980)
Royal Institute of Technology
-
-
Ullemar, C.1
-
146
-
-
84968510090
-
A moment problem on Jordan domains
-
Sakai M 1978 A moment problem on Jordan domains Proc. Am. Math. Soc. 70 35-8
-
(1978)
Proc. Am. Math. Soc.
, vol.70
, Issue.1
, pp. 35-38
-
-
Sakai, M.1
-
147
-
-
34250585857
-
Direkte Verfahren zur Auswertung von Schweremessungen bei zweidimensionaler Massenverteilung
-
Celmins A 1957 Direkte Verfahren zur Auswertung von Schweremessungen bei zweidimensionaler Massenverteilung Geofis. Pura Appl. 38 81-122
-
(1957)
Geofis. Pura Appl.
, vol.38
, Issue.1
, pp. 81-122
-
-
Celmins, A.1
-
148
-
-
0001354975
-
On uniqueness for the inverse problem of potential theory
-
Novikoff P S 1938 On uniqueness for the inverse problem of potential theory C. R. (Dokl.) Acad. Sci. URSS 18 165-8
-
(1938)
C. R. (Dokl.) Acad. Sci. URSS
, vol.18
, pp. 165-168
-
-
Novikoff, P.S.1
-
149
-
-
0002918184
-
Some inverse problems of potential theory
-
Zalcman L 1987 Some inverse problems of potential theory Integral Geometry (Brunswick, Maine, 1984) (Contemp. Math. vol 63) (Providence, RI: American Mathematical Society) pp 337-50
-
(1987)
Integral Geometry
, pp. 337-350
-
-
Zalcman, L.1
-
150
-
-
33846254245
-
Quadrature identities and deformation of quadrature domains
-
Sjödin T 2005 Quadrature identities and deformation of quadrature domains Quadrature Domains and Their Applications (Oper. Theory Adv. Appl. vol 156) (Basle: Birkhäuser) pp 239-55
-
(2005)
Quadrature Domains and Their Applications
, vol.156
, pp. 239-255
-
-
Sjödin, T.1
-
151
-
-
85069030278
-
-
Stahl H 1976 Beiträge zum Problem der Konvergenz von Padéapproximierenden PhD Thesis Technical University Berlin
-
(1976)
PhD Thesis
-
-
Stahl, H.1
-
152
-
-
0012963359
-
Incomplete and orthogonal polynomials
-
Saff E B 1981 Incomplete and orthogonal polynomials Approx. Theory IV 219
-
(1981)
Approx. Theory
, vol.4
, pp. 219
-
-
Saff, E.B.1
-
154
-
-
0031551792
-
Non-Hermitian random matrix theory: Method of Hermitian reduction
-
Feinberg J and Zee A 1997 Non-Hermitian random matrix theory: method of Hermitian reduction Nucl. Phys. B 504 579-608
-
(1997)
Nucl. Phys.
, vol.504
, Issue.3
, pp. 579-608
-
-
Feinberg, J.1
Zee, A.2
-
155
-
-
11244283406
-
Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions
-
Spencer T and Zirnbauer M R 2004 Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions Commun. Math. Phys. 252 167-87
-
(2004)
Commun. Math. Phys.
, vol.252
, Issue.1-3
, pp. 167-187
-
-
Spencer, T.1
Zirnbauer, M.R.2
-
156
-
-
0001079396
-
Toward a mean field theory for spin glasses
-
Parisi G 1979 Toward a mean field theory for spin glasses Phys. Lett. A 73 203-5
-
(1979)
Phys. Lett.
, vol.73
, Issue.3
, pp. 203-205
-
-
Parisi, G.1
-
158
-
-
0039927869
-
Rigorous mean-field model for coherent-potential approximation: Anderson model with free random variables
-
Neu P and Speicher R 1995 Rigorous mean-field model for coherent-potential approximation: Anderson model with free random variables J. Stat. Phys. 80 1279-308
-
(1995)
J. Stat. Phys.
, vol.80
, Issue.5-6
, pp. 1279-1308
-
-
Neu, P.1
Speicher, R.2
|