Full Publication List

Books

Lectures on Measure and Integration (Notes by D. Drasin and A. J. Tromba), Van Nostrand Mathematical Studies, No. 20, New York, 1969.

Lectures on Integral Equations (Notes by D. Drasin and A. J. Tromba), Van Nostrand Mathematical Studies, No. 17, New York, 1969.

Papers

143 (with C. A. Tracy) On the singularities in the susceptibility expansion for the two-dimensional Ising model.

142 (with C. A. Tracy) On the diagonal susceptibility of the 2D Ising model, J. Math. Phys., 54, (2013), 123302

141 (with C. A. Tracy) The asymmetric simple exclusion process with an open boundary, J. Math. Phys., 54, (2013), 103301

140. (with C. A. Tracy) The Bose gas and asymmetric simple exclusion process on the half-line, J. Stat. Phys., 150 (2013), 1--12.

139. (with C. A. Tracy) On the asymmetric simple exclusion process with multiple species, J. Stat. Phys., 150 (2013) 457--470.

138. (with C. A. Tracy) Formulas and asymptotics for the asymmetric simple exclusion process, Math. Phys. Anal. Geom., 14 (2011), 211-235.

137. (with C. A. Tracy) Formulas for joint probabilities for the asymmetric simple exclusion process, J. Math. Phys., 51, 063302 (2010).

136. (with C. A. Tracy) Formulas for ASEP with two-sided Bernoulli initial condition, J. Stat. Phys., 140 (2010), 619--634.

135. (with C. A. Tracy) On ASEP with step Bernoulli initial condition, J. Stat. Phys., 137 (2009), 825--838.

134. (with C. A. Tracy) On the distribution of a second class particle in the asymmetric simple exclusion process J. Phys. A, 42 (2009) 425002.

133. (with C. A. Tracy) Total current fluctuations in ASEP, J. Math. Phys. 50, 095204 (2009).

132. (with C. A. Tracy) The dynamics of the one-dimensional delta-function Bose gas, J. Phys. A: Math. Theor. 41 (2008) 485204.

131. (with C. A. Tracy) Asymptotics in ASEP with step initial condition, Comm. Math. Phys. 290 (2009), 129--154.

130. (with C. A. Tracy) A Fredholm determinant representation in ASEP, J. Stat. Phys. 132 (2008), 291--300.

129. (with C. A. Tracy) Integral formulas for the asymmetric simple exclusion process, Comm. Math. Phys. 279 (2008) 815--844.

128. (with C. A. Tracy) Nonintersecting Brownian excursions, Ann. Appl. Prob. 17 (2007), 953--979.

127. On the inverse and determinant of certain truncated Wiener-Hopf operators , Int.\ Eqs. Oper. Th. 57 (2007) 133--151.

126. Asymptotics of a class of operator determinants with application to the cylindrical Toda Equations , Contemp. Math. 458 (2008) 31--53.

125. (with Albrecht Böttcher) Szegö via Jacobi, Lin. Alg. Appl. 419 (2006) 656--667.

124. On the limiting distribution for the longest alternating sequence in a random permutation, Elec. J. Comb. 13 (2006) R25.

123. Asymptotics of a Class of Operator Determinants, Oper. Th.: Adv. Appl. 170 (2006) 249--256.

122. (with Albrecht Böttcher) On the eigenvalues of certain canonical higher-order ordinary differential operators , J. Math. Anal. Appl. 322 (2006) 990--1000.

121. (with Albrecht Böttcher) From Toeplitz eigenvalues through Green's kernels to higher-order Wirtinger-Sobolev inequalities, Oper. Th: Adv. Appl. 171 (2006) 73--87.

120. (with C. A. Tracy) The Pearcey Process, Comm. Math. Phys. 263 (2006) 381--400.

119. (with C. A. Tracy) Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles, Ann. Inst. Fourier (55) 2005, 1--11.

118. (with Albrecht Böttcher) Two elementary derivations of the pure Fisher-Hartwig determinant,Int. Eqs. Oper. Th. 53 (2005) 593--596.

117. (with C. A. Tracy) Differential equations for Dyson processes, Comm. Math. Phys. 252 (2004), 7--41.

116. On asymptotics for the Airy process, J. Stat. Phys. (115) 2004 1129--1134.

115. (with E. L. Basor and T. Ehrhardt) On the determinant of a certain Wiener-Hopf + Hankel operator, Int. Eqs. Oper. Th. 47 (2003) 275--288.

114. (with C. A. Tracy) A system of differential equations for the Airy process, Elect. Commun. Prob. 8 (2003), 93--98.

113. (with C. A. Tracy) A limit theorem for shifted Schur measures, Duke Math. J. 123 (2004) 171--208.

112. (with E. L. Basor) Wiener-Hopf determinants with Fisher-Hartwig symbols. Int. Eqs. Oper. Th. 147 (2004) 131--149.

111. (with J. Gravner and C. A. Tracy) Fluctuations in the composite regime of a disordered growth model, Comm. Math. Phys. 229 (2002), 433--458.

110. On Convergence of moments for random Young tableaux and a random growth model, Intl. Math. Research Notices 2002 (2002), 9 455--464.

109. (with C. A. Tracy) On the limit of some Toeplitz-like determinants, SIAM J. Matrix Anal. Appl. 23 (2002) 1194--1196.

108. (with J. Gravner and C. A. Tracy) A growth model in a random environment, Ann. Prob. 30 (2002), 1340--1368.

107. (with C. A. Tracy) On a distribution function arising in computational biology, in MathPhys Odyssey 2001 -- Integrable Models and Beyond. Progress in Math. Phys. 23 (2002), Birkh&auser.

106. (with E. L. Basor and Y. Chen) Determinants of Hankel matrices, J. Funcl. Anal. 179 (2001) 214--234.

105. (with J. Gravner and C. A. Tracy) Limit theorems for height fluctuations in a class of discrete space and time growth models, J. Stat. Phys. 102 (2001) 1085--1132.

104. (with A. R. Its and C. A. Tracy) Random words, Toeplitz determinants and integrable systems II, Physica D 152--153 (2001), 199--224.

103. (with E. L. Basor and Y. Chen) Hankel Determinants as Fredholm Determinants, in ``Random matrices and their applications'' (eds. P. Bleher and A. Its), Publ. MSRI 40 (2001) 1--9.

102. (with A. R. Its and C. A. Tracy) Random words, Toeplitz determinants and integrable systems I, in ``Random matrices and their applications'' (eds. P. Bleher and A. Its), Publ. MSRI 40 (2001) 245--258.

101. (with E. L. Basor) On a Toeplitz determinant identity of Borodin and Okounkov, Int. Eqs. Oper. Th. 37 (2000) 397--401.

100. (with C. A. Tracy) On the distributions of the lengths of the longest monotone subsequences in random words, Prob. Th. Rel. Fields 119 (2001) 350--380.

99. (with C. A. Tracy) Random Unitary Matrices, Permutations and Painlevé, Comm. Math. Phys. 207 (1999) 665--685.

98. On the solution of a Painlevé equation, MPAG, 3 (2000), 375--384.

97. (with C. A. Tracy) Universality of the distribution functions of random matrix theory, in ``Statistical Physics on the Eve of the 21st Century: In Honour of J B McGuire on the Occasion of His 65th Birthday'' (Ed. M. T. Batchelor, L. T. Wille), World Scientific Pub. Co. (1999) 230--239.

96. (with E. L. Basor) Determinants of Airy Operators and Applications to Random Matrices, J. Stat. Phys. 96 (1999) 1--20.

95. On the relation between orthogonal, symplectic and unitary matrix ensembles, J. Stat. Phys. 94 (1999) 347--364.

94. (with C. A. Tracy) Correlation functions, cluster functions and spacing distribu tions for random matrices, J. Stat. Phys. 92 (1998) 809--835.

93. (with C. A. Tracy) The distribution of the largest eigenvalue in the Gaussian ensembles, in ``Calogero-Moser-Sutherland Models'' (Ed. J.F. van Diejen, L. Vinet), CRM Ser. in Math. Phys. (4), Springer-Verlag, New York, 2000, 461--472.

92. An integral operator solution to the matrix Toda equations, J. Int. Eqs. Appl. 10 (1998) 363--372.

91. (with C. A. Tracy) On exact solutions to the Poisson-Boltzmann equation with applications to polyelectrolytes, Physica A 244 (1997) 404--413.

90. (with C. A. Tracy) Asymptotics of a class of solutions to the cylindrical Toda equations, Comm. Math. Phys. 190 (1998) 697--721.

89. (with C. A. Tracy) The thermodynamic Bethe Ansatz and a connection with Painlevé equations, Inter. J. Mod. Phys. 11 (1997) 69--74.

88. Wiener-Hopf integral equations, in "The Legacy of Norbert Wiener", Amer. Math. Soc. Proc. Symp. Pure Math. 60 (1997) 391-405.

87. Some classes of solutions to the Toda lattice hierarchy, Comm. Math. Phys. 184 (1997) 653--667.

86. (with C. A. Tracy) Proofs of two conjectures related to the thermodynamic Bethe Ansatz, Comm. Math. Phys. 179 (1996) 667--680.

85. (with C. A. Tracy) Fredholm determinants and the mKdV/sinh-Gordon hierarchies, Comm. Math. Phys. 179 (1996) 1--10.

84. (with C. A. Tracy) On orthogonal and symplectic matrix ensembles, Comm. Math. Phys., Comm. Math. Phys. 177 (1996) 727--754.

83. Asymptotics for the Fredholm determinant of the sine kernel on a union of intervals, Comm. Math. Phys. 171 (1995) 159--180.

82. (with C. A. Tracy) Systems of partial differential equations for a class of operator determinants, Oper. Th.: Adv. Appl. 78 (1995) 381--388.

81. (with A. Böttcher and B. Silbermann) Determinants of truncated Wiener-Hopf operators with Hilbert-Schmidt kernels and piecewise continuous symbols, Archiv d. Math. 63 (1994) 60--71.

80. (with C. A. Tracy) Fredholm determinants, differential equations and matrix models, Comm. Math. Phys. 163 (1994) 38--72.

79. (with A. Böttcher) Two remarks on spectral approximation for Wiener-Hopf operators, J. Int. Eqs. Appl. 6 (1994) 31--36.

78. (with A. Böttcher and B. Silbermann) A continuous analogue of the Fisher-Hartwig formula for piecewise continuous symbols, J. Func. Anal. 122 (1994) 222--246.

77. (with C. A. Tracy) Level-spacing distributions and the Bessel kernel, Comm. Math. Phys. 161 (1994) 289--309.

76. (with J. Harnad and C.A. Tracy) Hamiltonian structure of equations appearing in random matrices, in "Low-Dimensional Topology and Quantum Field Theory'' (Ed. H. Osborn), NATO ASI Series B 314 (1993) 231--245, Plenum Press.

75. (with C. A. Tracy) Level-spacing distributions and the Airy kernel, Comm. Math. Phys. 159 (1994) 151--174.

74. (with C. A. Tracy) Level-spacing distributions and the Airy kernel, Phys. Letts B 305 (1993) 115--118.

73. (with C. A. Tracy) Introduction to random matrices, in "Geometric and Quantum Aspects of Integrable Systems'' (Ed. G. F. Helminck), Lecture Notes in Physics 424 (1993) 103-130, Springer-Verlag.

72. The asymptotics of a continuous analogue of orthogonal polynomials. J. Approx. Th. 76 (1994) 51--64.

71. (with E. Basor and C. A. Tracy) Asymptotics of level-spacing distributions for random matrices, Phys. Rev. Letts 69 (1992) 5--8.

70. Symbols and asymptotic expansions, Oper. Th.: Adv. Appl. 58 (1992) 189--210.

69. Asymptotic expansions and stationary phase for operators with discontinuous symbol, Asymp. Anal. 4 (1994) 35--63.

68. (with B. Widom) Model for line tension in three-phase equilibrium, Physica A 17 3 (1991) 72--110.

67. Eigenvalue distribution of nonselfadjoint Toeplitz matrices and the asymptotics of Toeplitz determinants in the case of nonvanishing index, Oper. Th.: Adv. Appl. 48 (1990) 387--421.

66. Szegö expansions for operators with smooth or nonsmooth symbol, in Proc. Symp. Pure Math. Soc. 51 (1990) 599--615, Amer. Math. Soc.

65. On the singular values of Toeplitz matrices, Zeit. f. Anal. Anw. 8 (1989) 221--2 29.

64. Integral operators on a half-space with discontinuous symbol, J. Funct. Anal. 88 (1990) 166--193.

63. On Weiner-Hopf determinants, Oper. Th.: Adv. Appl. 41 (1989) 519--543.

62. The heat expansion for systems of integral equations II, Asymp. Anal. 1 (1988) 95--103.

61. On an inequality of Osgood, Phillips, and Sarnak, Proc. Amer. Math. Soc. 12 (1988) 773--774.

60. The heat expansion for systems of integral equations}, Oper. Th.: Adv. Appl. 3 5 (1988) 495--521.

59. Trace formulas for Wiener-Hopf operators, Proc. 10th Conf. on Oper. Th. (Bucharest 1985), Birkhäuser-Verlag, 1987.

58. More about pseudodifferential operators on bounded domains, Proc. 9th Conf. on Oper. Th. (Timisoara and Herculane, 1984), Birkhäuser-Verlag, 1986.

57. Asymptotic expansions for pseudodifferential operators on bounded domains. Lecture Notes in Math. 1152 (1985), Springer-Verlag.

56. Spectral asymptotic expansions for pseudodifferential operators, Proc. 8th Conf. on Oper. Th. (Timisoara and Herculane, 1983), Birkhäuser-Verlag, 1984.

55. (with E. Basor) Toeplitz and Wiener-Hopf determinants with piecewise continuous symbols, J. Funct. Anal. 50 (1983) 387--413.

54. A trace formula for Wiener-Hopf operators, J. Oper. Th. 8 (1982) 279--298.

53. On a class of integral operators with discontinuous symbol, Oper. Th.: Adv. Appl . 4 (1982) 477--500.

52. Second-order spectral asymptotics of certain integral operators, in "Probability , Statistical Mechanics, and Number Theory'' (Ed. G.-C. Rota), (1986) 63--80, Ac ademic Press.

51. Szegö's theorem and pseudodifferential operators, Proc. Canadian Math. Soc. Seminar on Harmonic Analysis (1980) 165--176.

50. Szegö's limit theorem: the higher-dimensional matrix case, J. Funct. Anal. 39 (1980) 182--198.

49. (with H. J. Landau) Eigenvalue distribution of time and frequency limiting, J. Math. Anal. 77 (1980) 469--481.

48. Compressions to spectral subspaces of the Laplacian, Proc. Symp. Pure Math. 36 (1980) 319--323, Amer. Math. Soc.

47. Spectral asymptotics of hypersurfaces, Int. Eqs. Oper. Th. 1 (1978) 415--443.

46. A complete symbolic calculus for pseudodifferential operators, Bull. Sciences Math. 104 (1980) 19--63.

45. Families of pseudodifferential operators, in "Topics in Functional Analysis'' (Ed. I. Gohberg and M. Kac) (1978) 345--395, Academic Press.

44. Szegö's theorem and a complete symbolic calculus for pseudodifferential operators, in "Seminar on Singularities'' (Ed L. Hörmander), Ann. of Math. Studies 91 (1979) 261-283, Princeton Univ. Press.

43. The Laplace operator with potential on the 2-sphere, Adv. Math. 31 (1979) 63--66.

42. Eigenvalue distribution theorems in certain homogeneous spaces, J. Funct. Anal. 32 (1979) 139--147.

41. Asymptotic expansions of determinants for families of trace class operators, Ind. U. Math. J. 27 (1978) 449--478.

40. Asymptotic behavior of block Toeplitz matrices and determinants II, Adv. Math. 21, (1976) pp. 1--29.

39. Perturbing Fredholm operators to obtain invertible operators, J. Funct. Anal. 20 (1975) 26--31.

38. On the limit of block Toeplitz determinants, Proc. Amer. Math. Soc. 50 (1975) 16 7--173.

37. Asymptotic inversion of convolution operators, Publ. Math. I. H. E. S. 44 (1975) 191--240.

36. Asymptotic behavior of block Toeplitz matrices and determinants, Adv. Math. 13 (1974) 284--322.

35. Toeplitz determinants with singular generating functions, Amer. J. Math. 95 (1973) 333--383.

34. Rational approximation and n-dimensional diameter, J. Approx. Th. 5 (1972) 343--361.

33. The strong Szegö limit theorem for circular arcs, Ind. U. Math J. 21 (1971) 277--283.

32. H_p sections of vector bundles over Riemann surfaces, Ann. Math. 94 (1971) 304--324.

31. The maximum principle for multiple-valued analytic functions, Acta Math. 126 (1971) 63--82.

30. (with R.G. Douglas) Toeplitz operators with locally sectorial symbols, Ind. U. Math. J. 20 (1970) 385--388.

29. An inequality for rational functions, Proc. Amer. Math. Soc. 24 (1970) 415--416.

28. On some extremal quantities associated with unbounded sets in the plane, J. Math. Mech. 19 (1969) 439--450.

27. Extremal polynomials associated with a system of curves in the complex plane, Adv. Math. 3 (1969) 127--232.

26. Norm inequalities for entire functions of exponential type, in Proc. Conf. on Orthogonal Expansions and their Continuous Analogues (Southern Illinois University, Edwardsville, April, 1967) 143--165.

25. Polynomials associated with measures in the complex plane, J. Math. Mech. 16 (1967) 997--1014.

24. (with H. Wilf) Small eigenvalues of large Hankel matrices, Proc. Amer. Math. Soc. 17 (1966) 338--344.

23. Toeplitz operators on H_p, Pac. J. Math. 19 (1966) 573--582.

22. Hankel matrices, Trans. Amer. Math. Soc. 121 (1966) 1--35.

21. Toeplitz matrices, in "Studies in Real and Complex Analysis'' (Ed. I. I. Hirschman), Studies in Math. 3(1965) 179--201, Math. Assoc. Amer.

20. Asymptotic behavior of the eigenvalues of certain integral equations II, Arch. Rat. Mech. Anal. 17 (1964) 215--229.

19. On the spectrum of a Toeplitz operator, Pac. J. Math. 14 (1964) 365--375.

18. Asymptotic behavior of the eigenvalues of certain integral equations, Trans. Amer. Math. Soc. 109 (1963) 278--295.

17. Rapidly increasing kernels, Proc. Amer. Math. Soc. 14 (1963) 501--506.

16. Extreme eigenvalues of N-dimensional convolution operators, Trans. Amer. Math. Soc. 106 (1963) 391--414.

15. Extreme eigenvalues of translation kernels, Trans. Amer. Math. Soc. 100 (1961) 252--262.

14. A two-sided absorption problem, Proc. Amer. Math. Soc. 12 (1961) 862--869.

13. (with F. Spitzer) The circumference of a convex polygon, Proc. Amer. Math. Soc. 12 (1961) 506--509.

12. Stable processes and integral equations, Trans. Amer. Math. Soc. 98 (1961) 430--449.

11. Singular integral equations in $L_p$, Trans. Amer. Math. Soc. 97 (1960) 131--160.

10. (with M. Rosenblum) Two extremal problems, Pac. J. Math. 10 (1960) 1409--1418.

9. A theorem on translation kernels in n dimensions, Trans. Amer. Math. Soc. 94 (1960) 170--180.

8. Inversion of Toeplitz matrices II, Ill. J. Math. 4 (1960) 88--99.

7. (with A. Calderon and F. Spitzer) Inversion of Toeplitz matrices, Ill. J. Math. 3 (1959) 490--498.

6. (with H. Pollard) Inversion of an integral transform, Proc. Amer. Math. Soc. 9 (1958) 598--602.

5. On the eigenvalues of certain Hermitian operators, Trans. Amer. Math. Soc. 88 (1958) 491--522.

4. Equations of Wiener-Hopf type, Ill. J. Math. 2 (1958) 261--270.

3. Nonisomorphic approximately finite factors, Proc. Amer. Math. Soc. 8 (1957) 537--540.

2. Approximately finite algebras, Trans. Amer. Math. Soc. 83 (1956) 170--178.

1. Embedding in algebras of type I, Duke Math. J. 23 (1956) 309--324.


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