Search Results - "Tracy, Craig A."

Integral Formulas for the Asymmetric Simple Exclusion Process by Tracy, Craig A., Widom, Harold

“…In this paper we obtain general integral formulas for probabilities in the asymmetric simple exclusion process (ASEP) on the integer lattice with nearest…”
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On orthogonal and symplectic matrix ensembles by Tracy, Craig A., Widom, Harold

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On the Asymmetric Simple Exclusion Process with Multiple Species by Tracy, Craig A., Widom, Harold

“…In previous work the authors, using the Bethe Ansatz, found for the N -particle asymmetric simple exclusion process on the integers a formula—a sum of multiple…”
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On the distributions of the lengths of the longest monotone subsequences in random words by TRACY, Craig A, WIDOM, Harold

“…We consider the distributions of the lengths of the longest weakly increasing and strongly decreasing subsequences in words of length N from an alphabet of k…”
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The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line by Tracy, Craig A., Widom, Harold

“…In this paper we find explicit formulas for: (1) Green’s function for a system of one-dimensional bosons interacting via a delta-function potential with…”
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Matrix kernels for the gaussian orthogonal and symplectic ensembles by TRACY, Craig A, WIDOM, Harold

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The pearcey process by TRACY, Craig A, WIDOM, Harold

“…The extended Airy kernel describes the space-time correlation functions for the Airy process, which is the limiting process for a polynuclear growth model. The…”
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Nonintersecting Brownian Excursions by Tracy, Craig A., Widom, Harold

“…We consider the process of n Brownian excursions conditioned to be nonintersecting. We show the distribution functions for the top curve and the bottom curve…”
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On the Singularities in the Susceptibility Expansion for the Two-Dimensional Ising Model by Tracy, Craig A., Widom, Harold

“…For temperatures below the critical temperature, the magnetic susceptibility for the two-dimensional isotropic Ising model can be expressed in terms of an…”
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A Fredholm Determinant Representation in ASEP by Tracy, Craig A., Widom, Harold

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Level spacing distributions and the Bessel kernel by TRACY, C. A, WIDOM, H

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Fredholm determinants, differential equations and matrix models by TRACY, C. A, WIDOM, H

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Formulas for ASEP with Two-Sided Bernoulli Initial Condition by Tracy, Craig A., Widom, Harold

“…For the asymmetric simple exclusion process η t on the integer lattice with two-sided Bernoulli initial condition, we derive exact formulas for the following…”
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Level-spacing distributions and the Airy kernel by TRACY, C. A, WIDOM, H

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Differential equations for Dyson processes by TRACY, Craig A, WIDOM, Harold

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Asymptotics in ASEP with Step Initial Condition by Tracy, Craig A., Widom, Harold

“…In previous work the authors considered the asymmetric simple exclusion process on the integer lattice in the case of step initial condition, particles…”
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Random Unitary Matrices, Permutations and Painlevé by Tracy, Craig A., Widom, Harold

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A limit theorem for shifted Schur measures by Tracy, Craig A., Widom, Harold

“…To each partition $\lambda=(\lambda_1,\lambda_2,\ldots)$ with distinct parts we assign the probability $Q_\lambda(x) P_\lambda(y)/Z$, where $Q_\lambda$ and…”
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Fluctuations in the composite regime of a disordered growth model by GRAVNER, Janko, TRACY, Craig A, WIDOM, Harold

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A Growth Model in a Random Environment by Gravner, Janko, Tracy, Craig A., Widom, Harold

“…We consider a model of interface growth in two dimensions, given by a height function on the sites of the one-dimensional integer lattice. According to the…”
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