메뉴 건너뛰기




Volumn 95, Issue 3, 1998, Pages 388-475

New Results on the Equilibrium Measure for Logarithmic Potentials in the Presence of an External Field

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000743268     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1997.3229     Document Type: Article
Times cited : (179)

References (37)
  • 2
    • 33646859849 scopus 로고
    • Quantum field theory techniques in graphical enumeration
    • Bessis D., Itzykson C., Zuber J. B. Quantum field theory techniques in graphical enumeration. Adv. Appl. Math. 1:1980;109-157.
    • (1980) Adv. Appl. Math. , vol.1 , pp. 109-157
    • Bessis, D.1    Itzykson, C.2    Zuber, J.B.3
  • 3
    • 21844525907 scopus 로고
    • On the statistical mechanics approach to random matrix theory: Integrated density of states
    • Bouted de Monvel A., Pastur L. A., Shcherbina M. On the statistical mechanics approach to random matrix theory: Integrated density of states. J. Statist. Phys. 79:1995;585-611.
    • (1995) J. Statist. Phys. , vol.79 , pp. 585-611
    • Bouted De Monvel, A.1    Pastur, L.A.2    Shcherbina, M.3
  • 7
    • 0003327466 scopus 로고
    • The Approximation of Continuous Functions by Positive Linear Operators
    • Berlin/Heidelberg/New York: Springer-Verlag
    • DeVore R. The Approximation of Continuous Functions by Positive Linear Operators. Lecture Notes in Mathematics. 293:1972;Springer-Verlag, Berlin/Heidelberg/New York.
    • (1972) Lecture Notes in Mathematics , vol.293
    • Devore, R.1
  • 9
    • 0001525213 scopus 로고
    • A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the mKdV equation
    • Deift P., Zhou X. A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the mKdV equation. Ann. Math. 137:1993;295-370.
    • (1993) Ann. Math. , vol.137 , pp. 295-370
    • Deift, P.1    Zhou, X.2
  • 10
    • 84990647031 scopus 로고
    • Asymptotics for the Painleve II equation
    • Deift P., Zhou X. Asymptotics for the Painleve II equation. Comm. Pure Appl. Math. 48:1995;277-337.
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 277-337
    • Deift, P.1    Zhou, X.2
  • 11
    • 33646320755 scopus 로고
    • Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten
    • Fekete M. Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten. Math. Z. 17:1923;228-249.
    • (1923) Math. Z , vol.17 , pp. 228-249
    • Fekete, M.1
  • 12
    • 0041192078 scopus 로고
    • Über den transfiniten Durchmesser ebener Punktmengen
    • Fekete M. Über den transfiniten Durchmesser ebener Punktmengen. Math. Z. 32:1930;108-114.
    • (1930) Math. Z. , vol.32 , pp. 108-114
    • Fekete, M.1
  • 13
    • 84980178052 scopus 로고
    • Multiphase averaging and the inverse spectral solution of the KdV equation
    • Flaschka H., Forest M. G., McLaughlin D. W. Multiphase averaging and the inverse spectral solution of the KdV equation. Comm. Pure Appl. Math. 33:1980;739-784.
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 739-784
    • Flaschka, H.1    Forest, M.G.2    McLaughlin, D.W.3
  • 14
    • 0040004774 scopus 로고
    • Algemeine Lehzsätze in Beziehung auf die im verkehrten Verhältnisse des Quadrats der Entfernung wirkenden Anziehungs- Und Abstossungs-Kräfte
    • p. 197-242
    • Gauss C. F. Algemeine Lehzsätze in Beziehung auf die im verkehrten Verhältnisse des Quadrats der Entfernung wirkenden Anziehungs- und Abstossungs-Kräfte. Gesammelte Werke (V). 1877;. p. 197-242.
    • (1877) Gesammelte Werke (V)
    • Gauss, C.F.1
  • 15
    • 84956094024 scopus 로고
    • Equilibrium measure and the distribution of zeros of extremal polynomials
    • Gonchar, Rakhmanov. Equilibrium measure and the distribution of zeros of extremal polynomials. Math. USSR Sb. 53:1986;119-130.
    • (1986) Math. USSR Sb. , vol.53 , pp. 119-130
    • Gonchar1    Rakhmanov2
  • 20
    • 84990575581 scopus 로고
    • The small dispersion limit of the Korteweg-de Vries equation I, II, III
    • Lax P., Levermore C. C.D. The small dispersion limit of the Korteweg-de Vries equation I, II, III. Comm. Pure Appl. Math. 36:1983;253-290.
    • (1983) Comm. Pure Appl. Math. , vol.36 , pp. 253-290
    • Lax, P.1    Levermore, C.C.D.2
  • 23
    • 84967754997 scopus 로고
    • Extremal problems for polynomials with exponential weights
    • Mhaskar H. N., Saff A. B. Extremal problems for polynomials with exponential weights. Trans. Amer. Math. Soc. 285:1984;204-234.
    • (1984) Trans. Amer. Math. Soc. , vol.285 , pp. 204-234
    • Mhaskar, H.N.1    Saff, A.B.2
  • 24
    • 0001918897 scopus 로고
    • Weighted analogues of capacity, transfinite diameter and Chebyshev constant
    • Mhaskar H. N., Saff E. B. Weighted analogues of capacity, transfinite diameter and Chebyshev constant. Constr. Approx. 8:1992;105-124.
    • (1992) Constr. Approx. , vol.8 , pp. 105-124
    • Mhaskar, H.N.1    Saff, E.B.2
  • 25
    • 0041192068 scopus 로고
    • Weighted polynomial inequalities
    • Nevai P., Totik V. Weighted polynomial inequalities. Constr. Approx. 2:1986;113-127.
    • (1986) Constr. Approx. , vol.2 , pp. 113-127
    • Nevai, P.1    Totik, V.2
  • 27
    • 0002048208 scopus 로고
    • On asymptotic properties of polynomials orthogonal on the real axis
    • Rakhmanov E. A. On asymptotic properties of polynomials orthogonal on the real axis. Mat. Sb. 119:1982;163-203.
    • (1982) Mat. Sb. , vol.119 , pp. 163-203
    • Rakhmanov, E.A.1
  • 30
    • 0003339568 scopus 로고
    • Orthogonal Polynomials
    • Providence: American Mathematical Society
    • Szego G. Orthogonal Polynomials. AMS Colloquium Publications. 23:1939;American Mathematical Society, Providence.
    • (1939) AMS Colloquium Publications , vol.23
    • Szego, G.1
  • 31
    • 0041656810 scopus 로고
    • Bemerkungen zur einer Arbeit von Herrn Fekete "über den transfiniten Durchmesser ebener Punktmengen
    • Szego G. Bemerkungen zur einer Arbeit von Herrn Fekete "Über den transfiniten Durchmesser ebener Punktmengen. Math. Z. 21:1924;203-208.
    • (1924) Math. Z. , vol.21 , pp. 203-208
    • Szego, G.1
  • 32
    • 84990619225 scopus 로고
    • Oscillations of the zero dispersion limit of the Korteweg-de Vries equation
    • Tian F. R. Oscillations of the zero dispersion limit of the Korteweg-de Vries equation. Comm. Pure Appl. Math. 1993.
    • (1993) Comm. Pure Appl. Math.
    • Tian, F.R.1
  • 33
    • 51249163384 scopus 로고
    • Fast decreasing polynomials via potentials
    • Totik V. Fast decreasing polynomials via potentials. J. D'Analyse Math. 62:1994;131-154.
    • (1994) J. d'Analyse Math. , vol.62 , pp. 131-154
    • Totik, V.1
  • 34
    • 84990574748 scopus 로고
    • The zero dispersion limit of the Korteweg-de Vries equation with nontrivial reflection coefficient
    • Venakides S. The zero dispersion limit of the Korteweg-de Vries equation with nontrivial reflection coefficient. Comm. Pure Appl. Math. 38:1985;125-155.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 125-155
    • Venakides, S.1
  • 35
    • 84990614472 scopus 로고
    • The generation of modulated wavetrains in the solution of the Korteweg- De Vries equation
    • Venakides S. The generation of modulated wavetrains in the solution of the Korteweg- de Vries equation. Comm. Pure Appl. Math. 38:1985;883-909.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 883-909
    • Venakides, S.1
  • 36
    • 84990586440 scopus 로고
    • The Korteweg-de Vries equation with small dispersion: Higher order Lax-Levermore theory
    • Venakides S. The Korteweg-de Vries equation with small dispersion: Higher order Lax-Levermore theory. Comm. Pure Appl. Math. 43:1990;335-361.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 335-361
    • Venakides, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.