Concepedia

The one-dimensional KPZ equation and the Airy process

Sylvain Prolhac, Herbert Spohn

Journal of Statistical Mechanics Theory and Experiment · 2011 · 58 citations · 20 references

DOIFull text

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Concepts

Abstract

15 pages

References

20

Dynamic Scaling of Growing Interfaces

Mehran Kardar, Giorgio Parisi, Yi-Cheng Zhang · Physical Review Letters · 1986 · 5.4K citations

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Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions

Gideon Amir, Ivan Corwin, Jeremy Quastel · Communications on Pure and Applied Mathematics · 2010 · 649 citations · Full text

, , +15

Scale Invariance of the PNG Droplet and the Airy Process

Michael Prähofer, Herbert Spohn · Journal of Statistical Physics · 2002 · 606 citations

, , +14

One-Dimensional Kardar-Parisi-Zhang Equation: An Exact Solution and its Universality

Tomohiro Sasamoto, Herbert Spohn · Physical Review Letters · 2010 · 457 citations · Full text

, , +10

Replica Bethe ansatz studies of two-dimensional interfaces with quenched random impurities

Mehran Kardar · Nuclear Physics B · 1987 · 371 citations

, , +14