1

Determinants of Hankel Matrices

Estelle L. Basor, Yang Chen, Harold Widom
Journal:
Journal of Functional Analysis
Year:
2001
Language:
english
File:
PDF, 160 KB
english, 2001
2

On a Toeplitz determinant identity of Borodin and Okounkov

Estelle L. Basor, Harold Widom
Journal:
Integral Equations and Operator Theory
Year:
2000
Language:
english
File:
PDF, 218 KB
english, 2000
3

Fredholm determinants, differential equations and matrix models

Craig A. Tracy, Harold Widom
Journal:
Communications in Mathematical Physics
Year:
1994
Language:
english
File:
PDF, 1.62 MB
english, 1994
5

On the Inverse and Determinant of Certain Truncated Wiener-Hopf Operators

Harold Widom
Journal:
Integral Equations and Operator Theory
Year:
2007
Language:
english
File:
PDF, 257 KB
english, 2007
6

Perturbing Fredholm operators to obtain invertible operators

Harold Widom
Journal:
Journal of Functional Analysis
Year:
1975
Language:
english
File:
PDF, 265 KB
english, 1975
7

HpSections of Vector Bundles Over Riemann Surfaces

Harold Widom
Journal:
Annals of Mathematics
Year:
1971
Language:
english
File:
PDF, 1.24 MB
english, 1971
8

Toeplitz Determinants with Singular Generating Functions

Harold Widom
Journal:
American Journal of Mathematics
Year:
1973
Language:
english
File:
PDF, 2.78 MB
english, 1973
9

A limit theorem for shifted Schur measures

Widom, Harold, Tracy, Craig A.
Journal:
Duke Mathematical Journal
Year:
2004
Language:
english
File:
PDF, 345 KB
english, 2004
10

Asymptotic behavior of block Toeplitz matrices and determinants

Harold Widom
Journal:
Advances in Mathematics
Year:
1974
Language:
english
File:
PDF, 1.65 MB
english, 1974
11

Eigenvalue distribution theorems for certain homogeneous spaces

Harold Widom
Journal:
Journal of Functional Analysis
Year:
1979
Language:
english
File:
PDF, 366 KB
english, 1979
12

On a class of integral operators on a half-space with discontinuous symbol

Harold Widom
Journal:
Journal of Functional Analysis
Year:
1990
Language:
english
File:
PDF, 1.18 MB
english, 1990
13

Spectral asymptotics of hypersurfaces

Harold Widom
Journal:
Integral Equations and Operator Theory
Year:
1978
Language:
english
File:
PDF, 650 KB
english, 1978
14

Two Elementary Derivations of the Pure Fisher-Hartwig Determinant

Albrecht Böttcher, Harold Widom
Journal:
Integral Equations and Operator Theory
Year:
2005
Language:
english
File:
PDF, 109 KB
english, 2005
15

Extremal polynomials associated with a system of curves in the complex plane

Harold Widom
Journal:
Advances in Mathematics
Year:
1969
Language:
english
File:
PDF, 4.14 MB
english, 1969
16

Szegö's limit theorem: The higher-dimensional matrix case

Harold Widom
Journal:
Journal of Functional Analysis
Year:
1980
Language:
english
File:
PDF, 653 KB
english, 1980
17

Toeplitz and Wiener-Hopf determinants with piecewise continuous symbols

Estelle Basor, Harold Widom
Journal:
Journal of Functional Analysis
Year:
1983
Language:
english
File:
PDF, 1.02 MB
english, 1983
20

Asymptotic inversion of convolution operators

Harold Widom
Journal:
Publications Mathématiques de L'IHÉS
Year:
1974
Language:
english
File:
PDF, 1.83 MB
english, 1974
21

Stable Processes and Integral Equations

Harold Widom
Journal:
Transactions of the American Mathematical Society
Year:
1961
Language:
english
File:
PDF, 499 KB
english, 1961
22

Embedding in algebras of type I

Widom, Harold
Journal:
Duke Mathematical Journal
Year:
1956
Language:
english
File:
PDF, 1.78 MB
english, 1956
23

Hankel matrices

Widom, Harold
Journal:
Transactions of the American Mathematical Society
Year:
1966
Language:
english
File:
PDF, 1.93 MB
english, 1966
24

Extreme Eigenvalues of N-Dimensional Convolution Operators

Harold Widom
Journal:
Transactions of the American Mathematical Society
Year:
1963
Language:
english
File:
PDF, 1.90 MB
english, 1963
25

Inversion of an integral transform

Pollard, Harry, Widom, Harold
Journal:
Proceedings of the American Mathematical Society
Year:
1958
Language:
english
File:
PDF, 284 KB
english, 1958
26

On the ground state energy of the delta-function Fermi gas

Tracy, Craig A., Widom, Harold
Journal:
Journal of Mathematical Physics
Year:
2016
Language:
english
File:
PDF, 288 KB
english, 2016
28

Rational approximation and n-dimensional diameter

Harold Widom
Journal:
Journal of Approximation Theory
Year:
1972
Language:
english
File:
PDF, 777 KB
english, 1972
29

Level-spacing distributions and the Airy kernel

Craig A. Tracy, Harold Widom
Journal:
Physics Letters B
Year:
1993
Language:
english
File:
PDF, 205 KB
english, 1993
31

Szegö via Jacobi

Albrecht Böttcher, Harold Widom
Journal:
Linear Algebra and its Applications
Year:
2006
Language:
english
File:
PDF, 174 KB
english, 2006
32

Random words, Toeplitz determinants and integrable systems: II

Alexander R. Its, Craig A. Tracy, Harold Widom
Journal:
Physica D: Nonlinear Phenomena
Year:
2001
Language:
english
File:
PDF, 189 KB
english, 2001
33

Asymptotic behavior of the eigenvalues of certain integral equations. II

Harold Widom
Journal:
Archive for Rational Mechanics and Analysis
Year:
1964
Language:
english
File:
PDF, 590 KB
english, 1964
34

On orthogonal and symplectic matrix ensembles

Craig A. Tracy, Harold Widom
Journal:
Communications in Mathematical Physics
Year:
1996
Language:
english
File:
PDF, 1.18 MB
english, 1996
35

Level spacing distributions and the Bessel kernel

Craig A. Tracy, Harold Widom
Journal:
Communications in Mathematical Physics
Year:
1994
Language:
english
File:
PDF, 891 KB
english, 1994
36

Level-spacing distributions and the Airy kernel

Craig A. Tracy, Harold Widom
Journal:
Communications in Mathematical Physics
Year:
1994
Language:
english
File:
PDF, 946 KB
english, 1994
37

Asymptotics for the Fredholm determinant of the sine kernel on a union of intervals

Harold Widom
Journal:
Communications in Mathematical Physics
Year:
1995
Language:
english
File:
PDF, 1.02 MB
english, 1995
38

Fredholm determinants and the mKdV/Sinh-Gordon hierarchies

Craig A. Tracy, Harold Widom
Journal:
Communications in Mathematical Physics
Year:
1996
Language:
english
File:
PDF, 344 KB
english, 1996
41

Differential Equations for Dyson Processes

Craig A. Tracy, Harold Widom
Journal:
Communications in Mathematical Physics
Year:
2004
Language:
english
File:
PDF, 287 KB
english, 2004
42

The Pearcey Process

Craig A. Tracy, Harold Widom
Journal:
Communications in Mathematical Physics
Year:
2006
Language:
english
File:
PDF, 213 KB
english, 2006
43

Integral Formulas for the Asymmetric Simple Exclusion Process

Craig A. Tracy, Harold Widom
Journal:
Communications in Mathematical Physics
Year:
2008
Language:
english
File:
PDF, 360 KB
english, 2008
44

Asymptotics in ASEP with Step Initial Condition

Craig A. Tracy, Harold Widom
Journal:
Communications in Mathematical Physics
Year:
2009
Language:
english
File:
PDF, 527 KB
english, 2009
46

Some Classes of Solutions to the Toda Lattice Hierarchy

Harold Widom
Journal:
Communications in Mathematical Physics
Year:
1997
Language:
english
File:
PDF, 165 KB
english, 1997
47

Asymptotics of a Class of Solutions to the Cylindrical Toda Equations

Craig A. Tracy, Harold Widom
Journal:
Communications in Mathematical Physics
Year:
1998
Language:
english
File:
PDF, 266 KB
english, 1998
48

Random Unitary Matrices, Permutations and Painlevé

Craig A. Tracy, Harold Widom
Journal:
Communications in Mathematical Physics
Year:
1999
Language:
english
File:
PDF, 134 KB
english, 1999
49

A Fredholm Determinant Representation in ASEP

Craig A. Tracy, Harold Widom
Journal:
Journal of Statistical Physics
Year:
2008
Language:
english
File:
PDF, 299 KB
english, 2008
50

On ASEP with Step Bernoulli Initial Condition

Craig A. Tracy, Harold Widom
Journal:
Journal of Statistical Physics
Year:
2009
Language:
english
File:
PDF, 421 KB
english, 2009