Scaling limit

In physics or mathematics, the scaling limit is a term applied to the behaviour of a lattice model in the limit of the lattice spacing going to zero… (More)
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2006
2006
We give the " quenched " scaling limit of Bouchaud's trap model in d ≥ 2. This scaling limit is the Fractional-Kinetics process… (More)
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Highly Cited
2005
Highly Cited
2005
We use SLE6 paths to construct a process of continuum nonsimple loops in the plane and prove that this process coincides with the… (More)
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Highly Cited
2005
Highly Cited
2005
The totally asymmetric simple exclusion process (TASEP) on the one-dimensional lattice with the Bernoulli ρ measure as initial… (More)
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Highly Cited
2002
Highly Cited
2002
A planar self-avoiding walk (SAW) is a nearest neighbor random walk path in the square lattice with no self-intersection. A… (More)
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Highly Cited
2002
Highly Cited
2002
The metric of a spacetime with a parallel plane (pp)-wave can be obtained in a certain limit of the space AdS 5 ×S 5. According… (More)
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Highly Cited
2002
Highly Cited
2002
By using the non-equilibrium Green's function approach, we report a comprehensive and rigorous study of source-to-drain tunneling… (More)
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Highly Cited
2001
Highly Cited
2001
We study scaling limits and conformal invariance of critical site percolation on triangular lattice. We show that some… (More)
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Highly Cited
1999
Highly Cited
1999
A double scaling limit can be defined in string theory on a Calabi-Yau (CY) manifold by approaching a point in moduli space where… (More)
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Highly Cited
1999
Highly Cited
1999
The uniform spanning tree (UST) and the loop-erased random walk (LERW) are strongly related probabilistic processes. We consider… (More)
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1997
1997
Scaling limits of critical percolation models show major differences between low and high dimensional models. The article… (More)
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