Oded Schramm's contributions to noise sensitivity
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Publication:651003
DOI10.1214/10-AOP582zbMath1252.82090arXiv1007.0422OpenAlexW2949751355MaRDI QIDQ651003
Publication date: 8 December 2011
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.0422
critical exponentspercolationnoise sensitivityrandomized algorithmsdiscrete Fourier analysishypercontractivityfirst-passage percolationSLE processessub-Gaussian fluctuations
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Fourier series and coefficients in several variables (42B05) Time-dependent percolation in statistical mechanics (82C43)
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Cites Work
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- The Fourier spectrum of critical percolation
- On the scaling limits of planar percolation
- Exponential concentration for first passage percolation through modified Poincaré inequalities
- Mean-field critical behaviour for percolation in high dimensions
- Noise stability of functions with low influences: invariance and optimality
- Quantitative noise sensitivity and exceptional times for percolation
- Near-critical percolation in two dimensions
- Exceptional planes of percolation
- Conformal invariance of Voronoi percolation
- On Russo's approximate zero-one law
- Dynamical percolation
- First passage percolation has sublinear distance variance.
- Scaling limits of loop-erased random walks and uniform spanning trees
- Critical exponents for two-dimensional percolation
- The influence of variables in product spaces
- Scaling relations for 2D-percolation
- Strict inequalities for some critical exponents in two-dimensional percolation
- One-arm exponent for critical 2D percolation
- Concentration of measure and isoperimetric inequalities in product spaces
- How much are increasing sets positively correlated?
- Shape fluctuations and random matrices
- Critical percolation in finite geometries
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- Learning Monotone Decision Trees in Polynomial Time
- Random-Turn Hex and Other Selection Games
- Probability on Graphs
- Balanced boolean functions that can be evaluated so that every input bit is unlikely to be read
- A survey on dynamical percolation
- An approximate zero-one law
- Logarithmic Sobolev Inequalities
- A note on percolation
- Examples of Nonlinear Continuous Tensor Products of Measure Spaces and Non-Fock Factorizations
- Percolation
- Conformal invariance in two-dimensional percolation
- Every monotone graph property has a sharp threshold
- Continuum Percolation
- Noise sensitivity of Boolean functions and applications to percolation
