498 citations
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4 papers · 2 filters
Square integrable holomorphic functions on infinite-dimensional Heisenberg type groups
Bruce Driver, Maria Gordina
We introduce a class of non-commutative, complex, infinite-dimensional Heisenberg like Lie groups based on an abstract Wiener space. The holomorphic functions which are also square…
Asymptotics in ASEP with Step Initial Condition
Craig A. Tracy, Harold Widom
In previous work the authors considered the asymmetric simple exclusion process on the integer lattice in the case of step initial condition, particles beginning at the positive in…
A Fredholm Determinant Representation in ASEP
Craig A. Tracy, Harold Widom
In previous work the authors found integral formulas for probabilities in the asymmetric simple exclusion process (ASEP) on the integer lattice. The dynamics are uniquely determine…
Reconstruction of Random Colourings
Allan Sly
Reconstruction problems have been studied in a number of contexts including biology, information theory and and statistical physics. We consider the reconstruction problem for rand…