Craig Tracy | Academic Influence

Craig Tracy's AcademicInfluence.com Rankings

Craig Tracy

Mathematics

#1127

World Rank

#1904

Historical Rank

#482

USA Rank

Probability Theory

#44

World Rank

#65

Historical Rank

#14

USA Rank

Measure Theory

#2246

World Rank

#2695

Historical Rank

#639

USA Rank

mathematics Degrees

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Mathematics

Craig Tracy's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Craig Tracy Influential?

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According to Wikipedia, Craig Arnold Tracy is an American mathematician, known for his contributions to mathematical physics and probability theory. Born in United Kingdom, he moved as infant to Missouri where he grew up and obtained a B.Sc. in physics from University of Missouri . He studied as a Woodrow Wilson Fellow at the Stony Brook University where he obtained a Ph.D. on the thesis entitled Spin-Spin Scale-Functions in the Ising and XY-Models advised by Barry M. McCoy, in which he studied Painlevé functions in exactly solvable statistical mechanical models.

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Craig Tracy's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Level-spacing distributions and the Airy kernel (1992) (1813)
Introduction to Random Matrices (1992) (1466)
On orthogonal and symplectic matrix ensembles (1995) (915)
Spin spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region (1976) (564)
Fredholm determinants, differential equations and matrix models (1993) (363)
Level spacing distributions and the Bessel kernel (1993) (342)
Correlation Functions, Cluster Functions, and Spacing Distributions for Random Matrices (1998) (293)
Painlevé functions of the third kind (1977) (284)
Asymptotics in ASEP with Step Initial Condition (2008) (265)
Limit Theorems for Height Fluctuations in a Class of Discrete Space and Time Growth Models (2000) (212)
Integral Formulas for the Asymmetric Simple Exclusion Process (2007) (211)
Distribution Functions for Largest Eigenvalues and Their Applications (2002) (135)
A Fredholm Determinant Representation in ASEP (2008) (131)
On the distributions of the lengths of the longest monotone subsequences in random words (1999) (131)
The Pearcey Process (2004) (122)
Two-Dimensional Ising Model as an Exactly Solvable Relativistic Quantum Field Theory: Explicit Formulas for n -Point Functions (1977) (116)
The Distribution of the Largest Eigenvalue in the Gaussian Ensembles: β = 1, 2, 4 (1997) (116)
Random Unitary Matrices, Permutations and Painlevé (1998) (105)
ℤn Baxter model: Symmetries and the Belavin parametrization (1986) (97)
Differential Equations for Dyson Processes (2003) (91)
The Fisher-Hartwig conjecture and generalizations☆ (1991) (89)
Communications in Mathematical Physics The Pearcey Process (2006) (89)
Neutron Scattering and the Correlation Functions of the Ising Model near T c (1973) (84)
Proofs of two conjectures related to the thermodynamic Bethe Ansatz (1995) (83)
Random Words, Toeplitz Determinants and Integrable Systems. II (1999) (82)
One particle reduced density matrix of impenetrable bosons in one dimension at zero temperature (1979) (79)
Nonintersecting Brownian Excursions (2006) (76)
The Distributions of Random Matrix Theory and their Applications (2009) (71)
Examination of the phenomenological scaling functions for critical scattering (1975) (66)
Two-dimensional Ising correlations: Convergence of the scaling limit (1981) (65)
On ASEP with Step Bernoulli Initial Condition (2009) (61)
Transverse time-dependent spin correlation functions for the one-dimensional XY model at zero temperature (1978) (56)
Matrix kernels for the Gaussian orthogonal and symplectic ensembles (2004) (52)
Asymptotics of a τ-function arising in the two-dimensional Ising model (1991) (51)
Fredholm determinants and the mKdV/Sinh-Gordon hierarchies (1995) (49)
Hamiltonian Structure of Equations Appearing in Random Matrices (1993) (44)
One-Particle Reduced Density Matrix of Impenetrable Bosons in One Dimension at Zero Temperature (1979) (42)
Universality of the distribution functions of random matrix theory (1999) (40)
On exact solutions to the cylindrical Poisson-Boltzmann equation with applications to polyelectrolytes (1997) (39)
A SYSTEM OF DIFFERENTIAL EQUATIONS FOR THE AIRY PROCESS (2003) (36)
Asymptotics of a Class of Solutions to the Cylindrical Toda Equations (1997) (35)
Total Current Fluctuations in ASEP (2009) (34)
A Limit Theorem for Shifted Schur Measures (2002) (34)
Tau functions for the Dirac operator on the Poincaré disk (1993) (33)
A growth model in a random environment (2000) (32)
Universality classes of some aperiodic Ising models (1988) (30)
Embedded elliptic curves and the Yang-Baxter equations (1985) (30)
Two-dimensional ising correlations: The SMJ analysis (1983) (29)
Application of Random Matrix Theory to Multivariate Statistics (2006) (29)
Airy Kernel and Painleve II (1999) (27)
On the Asymmetric Simple Exclusion Process with Multiple Species (2011) (24)
Asymptotics of a Tau-Function and Toeplitz Determinants with Singular Generating Functions (1992) (24)
The dynamics of the one-dimensional delta-function Bose gas (2008) (23)
Variance calculations and the Bessel kernel (1993) (23)
Painlevé Functions in Statistical Physics (2009) (23)
The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line (2012) (22)
On the ground state energy of the δ-function Bose gas (2016) (22)
Erratum to: Integral Formulas for the Asymmetric Simple Exclusion Process (2011) (21)
CROSSOVER SCALING FUNCTION FOR THE ONE-DIMENSIONAL XY MODEL AT ZERO TEMPERATURE (1978) (20)
LARGEST EIGENVALUE DISTRIBUTION IN THE DOUBLE SCALING LIMIT OF MATRIX MODELS: A COULOMB FLUID APPROACH (1995) (19)
Formulas for ASEP with Two-Sided Bernoulli Initial Condition (2010) (18)
On the Limit of Some Toeplitz-Like Determinants (2001) (17)
Fluctuations in the Composite Regime of a Disordered Growth Model (2001) (17)
Universality class of a Fibonacci Ising model (1988) (17)
Painlevé Transcendents and Scaling Functions of the Two-Dimensional Ising Model (1978) (16)
The asymmetric simple exclusion process with an open boundary (2013) (15)
Formulas for Joint Probabilities for the Asymmetric Simple Exclusion Process (2010) (14)
Modular properties of the hard hexagon model (1987) (14)
On the ground state energy of the delta-function Fermi gas (2016) (14)
On the distribution of a second-class particle in the asymmetric simple exclusion process (2009) (13)
Asymptotics for the Covariance of the Airy2 Process (2010) (12)
Holonomic quantum field theory of bosons in the Poincaré disk and the zero curvature limit (1990) (12)
Equation of state and isothermal compressibility for the hard hexagon model in the disordered regime (1987) (11)
From Newton to Einstein (1992) (11)
Connection between the KdV equation and the two-dimensional Ising model☆ (1977) (11)
Spin-Spin Correlation Functions for the Two-Dimensional Ising Model (1977) (10)
Formulas and Asymptotics for the Asymmetric Simple Exclusion Process (2011) (9)
On the Ground State Energy of the Delta-Function Fermi Gas II: Further Asymptotics (2016) (9)
SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS FOR A CLASS OF OPERATOR DETERMINANTS (1995) (8)
Blocks in the Asymmetric Simple Exclusion Process (2017) (7)
Baxter Model : Symmetries and the Belavin Parametrization (1986) (6)
Complete integrability in statistical mechanics and the Yang-Baxter equations (1985) (4)
The emerging role of number theory in exactly solvable models in lattice statistical mechanics (1987) (4)
Blocks and gaps in the asymmetric simple exclusion process: Asymptotics (2017) (4)
On the diagonal susceptibility of the 2D Ising model (2013) (4)
On the decay rate of order-parameter fluctuations (1974) (3)
Monodramy preserving deformation theory of the Klein-Gordon equation in the hyperbolic plane (1989) (3)
On the Distributions of the Lengths of the Longest Increasing and Decreasing Subsequences in Random Words (1999) (3)
On the maximum of the k-dependent susceptibility for fixed k and T > Tc (1974) (3)
On ASEP with Periodic Step Bernoulli Initial Condition (2010) (3)
Inverse Scattering and Applications (1991) (3)
Variational Approximation to the Ising Model in a Magnetic Field (1973) (2)
Symmetry group for a completely symmetric vertex model (1987) (2)
On asymmetric simple exclusion process with periodic step Bernoulli initial condition (2011) (2)
Asymptotics of a class of Fredholm determinants (1998) (2)
ℤn Baxter model: Critical behavior (1986) (1)
Variational approximation to a ferromagnet in a magnetic field (1974) (1)
Monodromy Preserving Deformation of Linear Ordinary and Partial Differential Equations (1990) (1)
On the Singularities in the Susceptibility Expansion for the Two-Dimensional Ising Model (2014) (1)
Algorithms for the computation of polynomial relationships for the hard hexagon model (1990) (1)
PR ] 4 S ep 2 00 3 Differential Equations for Dyson Processes (0)
Asymptotics for an Individual Particle in ASEP (2008) (0)
Spin-Spin Scale-Functions in the Ising and XY - (1973) (0)
On the Singularities in the Susceptibility Expansion for the Two-Dimensional Ising Model (2014) (0)
Inverse Scattering and Applications. Proceedings of Conference on Inverse Scattering on the Line, Held in Amherst, Massachusetts on June 7 - 13, 1990 (1990) (0)
On a Distribution Function Arising in Computational Biology (2000) (0)
J un 2 00 4 June 1 , 2004 Differential Equations for Dyson Processes (0)
Abstracts of the workshop on statistical mechanics, dynamical systems, and turbulence (1983) (0)
Random Matrix Models and Their Applications January 19 – 23 , 1999 Airy Kernel and Painlevé II (0)
The Thermodynamic Bethe Ansatz and a Connection with Painlevé Equations (1997) (0)
Domain Walls in the Heisenberg-Ising Spin-1/2 Chain (2022) (0)
Natural Boundary for a Sum Involving Toeplitz Determinants (2015) (0)
Some Isomonodromy Problems in Hyperbolic Space (1992) (0)
Class I: Mathematical and Physical Sciences Section 1: Mathematics (2007) (0)
On the Diagonal Susceptibility of the 2 D Ising Model (2021) (0)
Communications in Mathematical Physics Asymptotics in ASEP with Step Initial Condition (2008) (0)
The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line (2013) (0)
In Memoriam: Freeman Dyson (1923–2020) (2021) (0)
2 3 A pr 2 00 4 April 23 , 2004 Differential Equations for Dyson Processes (0)
Se p 19 95 On Orthogonal and Symplectic Matrix Ensembles (1996) (0)
Blocks in the Asymmetric Simple Exclusion Process: Asymptotics (2017) (0)
Remarks on the rotational invariance of two-dimensional Ising model correlation functions (1976) (0)
Universality Class of a Fibonaeci Ising Model (1988) (0)
Ju l 2 00 9 July 29 , 2009 On ASEP with Step Bernoulli Initial Condition (2009) (0)
Critical scattering scaling functions and the measurement of η (2008) (0)
On the Asymmetric Simple Exclusion Process with Multiple Species (2012) (0)
STOCHASTIC MODELING IN THE SCIENCES: STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND RANDOM MEDIA (2005) (0)
A Growth Model in a Random Environment 1 (2005) (0)
A Growth Model in a Random Environment a Growth Model in a Random Environment (2000) (0)
Integrable Systems in Random Matrix Theory (2006) (0)

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