The Loewner Equation: Maps and Shapes
Copyright policy )The Loewner Equation: Maps and Shapes
In the last few years, new insights have permitted unexpected progress in the study of fractal shapes in two dimensions. A new approach, called Schramm-Loewner evolution, or SLE, has arisen through analytic function theory and probability theory, and given a new way of calculating fractal shapes in critical phenomena, the theory of random walks, and of percolation. We present a non-technical discussion of this development aimed to attract the attention of condensed matter community to this fascinating subject.
- University of Chicago United States
Statistical Mechanics (cond-mat.stat-mech), Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics, FOS: Physical sciences, General theory of univalent and multivalent functions of one complex variable, criticality in two dimensions, PDEs with randomness, stochastic partial differential equations, Stochastic Loewner evolution, conformal field theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Condensed Matter - Statistical Mechanics
Statistical Mechanics (cond-mat.stat-mech), Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics, FOS: Physical sciences, General theory of univalent and multivalent functions of one complex variable, criticality in two dimensions, PDEs with randomness, stochastic partial differential equations, Stochastic Loewner evolution, conformal field theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Condensed Matter - Statistical Mechanics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).47 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!