VOL. 8 | 2011
Arno Berger, Theodore P. Hill
Probab. Surveys 8, 1-126, (2011) DOI: 10.1214/11-PS175 Open Access
KEYWORDS: Benford’s Law, significant digits, uniform distribution mod 1, scale-invariance, base-invariance, sum-invariance, shadowing, difference equation, random probability measure, mixture of distributions, 60-01, 11K06, 37M10, 39A60, 37A45, 60F15, 62E10
E. Mazzola, P. Muliere
Probab. Surveys 8, 127-154, (2011) DOI: 10.1214/11-PS177 Open Access
KEYWORDS: Lévy processes, Meixner process, Esscher transform, equivalent martingale measure, orthogonal polynomials, Meixner-Pollaczeck polynomials, subordinator, 60G51, 60G07, 60G05, 05E35
Nike Sun
Probab. Surveys 8, 155-209, (2011) DOI: 10.1214/11-PS180 Open Access
KEYWORDS: Conformally invariant scaling limits, percolation, Schramm-Loewner Evolutions, preharmonicity, preholomorphicity, percolation exploration path, 60K35, 30C35, 60J65
Nathan Ross
Probab. Surveys 8, 210-293, (2011) DOI: 10.1214/11-PS182 Open Access
KEYWORDS: Stein’s method, distributional approximation, concentration of measure inequalities, size-bias distribution, Exchangeable pairs, 60F05, 60C05, 05C80
The following four surveys are based on lecture courses given at the 7th Cornell Probability Summer School, held at Cornell University in 2011
Marek Biskup
Probab. Surveys 8, 294-373, (2011) DOI: 10.1214/11-PS190 Open Access
KEYWORDS: Random conductance model, elliptic environment, quenched invariance principle, Corrector, Heat kernel bounds, effective resistivity, Homogenization‎, 60K37, 60F17, 60J45, 82B43, 80M40
Julien Dubédat
Probab. Surveys 8, 374-402, (2011) DOI: 10.1214/11-PS187 Open Access
KEYWORDS: 60G15, 82B20
Geoffrey Grimmett
Probab. Surveys 8, 403-441, (2011) DOI: 10.1214/11-PS185 Open Access
KEYWORDS: Self-avoiding walk, Connective constant, percolation, Random-cluster model, Ising model, star–triangle transformation, Yang–Baxter equation, Critical exponent, Universality, isoradiality, 60K35, 82B43
Gregory F. Lawler
Probab. Surveys 8, 442-495, (2011) DOI: 10.1214/11-PS189 Open Access
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