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Consider the indicator function $f$ of a two-dimensional percolation crossing event.
The incipient infinite cluster in two-dimensional percolation
Harry Kesten · 1986
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Scaling relations for 2 2 D-percolation
Harry Kesten · 1987
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The influence of variables on boolean functions
J. Kahn, G. Kalai, and N. Linial · 1988
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Constant depth circuits, Fourier transform, and learnability
Nathan Linial, Yishay Mansour, and Noam Nisan · 1993
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Geometry of sets and measures in Euclidean spaces
Pertti Mattila · 1995
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Every monotone graph property has a sharp threshold
Ehud Friedgut and Gil Kalai · 1996
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Dynamic Boolean models
J. van den Berg, Ronald Meester, and Damien G. White · 1997
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Quantum complexity theory
Ethan Bernstein and Umesh Vazirani · 1997
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Dynamical percolation
Olle Häggström, Yuval Peres, and Jeffrey E. Steif · 1997
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Domination by product measures
T. M. Liggett, R. H. Schonmann, and A. M. Stacey · 1997
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Exceptional planes of percolation
Itai Benjamini and Oded Schramm · 1998
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Almost all words are seen in critical site percolation on the triangular lattice
Harry Kesten, Vladas Sidoravicius, and Yu Zhang · 1998
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The number of infinite clusters in dynamical percolation
Yuval Peres and Jeffrey E. Steif · 1998
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Path crossing exponents and the external perimeter in 2d percolation
M. Aizenman, B. Duplantier, and A. Aharony · 1999
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Noise sensitivity of Boolean functions and applications to percolation
Itai Benjamini, Gil Kalai, and Oded Schramm · 1999
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Percolation
Geoffrey Grimmett · 1999
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On near-critical and dynamical percolation in the tree case
Olle Häggström and Robin Pemantle · 1999
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Proof of the van den Berg-Kesten conjecture
David Reimer · 2000
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Values of Brownian intersection exponents. II. Plane exponents
Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2001
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Recurrence of simple random walk on ℤ 2 {\mathbb{Z}}^{2} is dynamically sensitive
Christopher Hoffman · 2006
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Threshold phenomena and influence: perspectives from mathematics, computer science, and economics
Gil Kalai and Shmuel Safra · 2006
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Exceptional times and invariance for dynamical random walks
D. Khoshnevisan, D. A. Levin, and P. J. Méndez-Hernández · 2006
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Towards conformal invariance of 2D lattice models
Stanislav Smirnov · 2006
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Conformally invariant scaling limits: an overview and a collection of problems
Oded Schramm · 2007
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Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits
Stanislav Smirnov · 2001
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Critical exponents for two-dimensional percolation
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One-arm exponent for critical 2D percolation
Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2002
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Which properties of a random sequence are dynamically sensitive?
Itai Benjamini, Olle Häggström, Yuval Peres, and Jeffrey E. Steif · 2003
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Scaling limit, noise, stability
Boris Tsirelson · 2004
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Dynamical stability of percolation for some interacting particle systems and ϵ \epsilon -movability
Erik I. Broman and Jeffrey E. Steif · 2006
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Wendelin Werner · 2007
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Dynamical models for circle covering: Brownian motion and Poisson updating
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Dynamical percolation on general trees
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Near-critical percolation in two dimensions
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Dynamical sensitivity of the infinite cluster in critical percolation
Yuval Peres, Oded Schramm, and Jeffrey E. Steif · 2009
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Brownian Motion
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