Universality for conformally invariant intersection exponents

By Gregory F. Lawler, Wendelin Werner. 2000

86 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c1b2a7358eb7bbe0fe5db93245f4efeeff8509b5

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In Discrete Mathematics and Combinatorics

In Geometry and Topology

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Citations in the corpus

Random planar curves and Schramm-Loewner evolutions (2003, methodology): “ 5.2 Brownian excursions and SLE8/3 We now describe a probability measure on Brownian excursions from 0 to inﬁnity in H (which is closely related to the measures on excursions that were considered in [97]). One can view this measure on paths as the law of planar Brownian motion W(not to be confused ”
The Brownian loop soup (2003, background): “This is a metric space under the Prohorov metric d (see [2, Appendix III], e.g., for details).”
Values of Brownian intersection exponents III: Two-sided exponents (2000, unknown): “In the previous section, we derived estimates concerning the joint law of log f ′(0) and log f ′(1) at the first time at which f ′t(∞) = e−s.”
Lectures on two-dimensional critical percolation (2007, methodology): “sicists using various (mathematically) non-rigorous methods (Conformal ﬁeld theory, Coulomb gas, simulations, quantum gravity), see e.g. [12, 31, 36, 17, 35, 5, 14]. • It can be shown in various ways [28, 23, 24, 27, 48], see also lecture notes [45, 46, 47] that Brownian motions and percolation clus”
2D growth processes: SLE and Loewner chains (2006, background): “ing whether the Brownian paths are in the plane or in the upper half plane. Although many properties of these exponents [132,98] were known – such that the cascade relations they satisfy [86] andmore [87,88,125] – the exactness of CFT predictions [50,52,3] was proved only recently by Lawler, Schramm”