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We study the random field Ising model in a two-dimensional box with side length $N$ where the external field is given by independent normal variables with mean $0$ and variance $\epsilon^2$.
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M. Aizenman and A. Burchard · 1999
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Critical exponents of the three dimensional random field Ising model
H. Rieger and A. P. Young · 1999
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Estimates of moments and tails of Gaussian chaoses
R. Latał a · 2006
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The Malliavin calculus and related topics
D. Nualart · 2006
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Lace expansion for the Ising model
A. Sakai · 2007
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Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model
H. Duminil-Copin, C. Hongler, and P. Nolin · 2011
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Tail and moment estimates for chaoses generated by symmetric random variables with logarithmically concave tails
R. Adamczak and R. Latała · 2012
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Review of recent developments in the random-field Ising model
N. G. Fytas, V. Martín-Mayor, M. Picco, and N. Sourlas · 2018
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A power-law upper bound on the correlations in the
M. Aizenman and R. Peled · 2019
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Sharp phase transition for the random-cluster and Potts models via decision trees
H. Duminil-Copin, A. Raoufi, and V. Tassion · 2019
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On the critical exponent
N. G. Fytas, V. Martín-Mayor, G. Parisi, M. Picco, and N. Sourlas · 2019
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Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions
S. Handa, M. Heydenreich, and A. Sakai · 2019
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Conformal invariance of boundary touching loops of FK Ising model
A. Kemppainen and S. Smirnov · 2019
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V. Beffara and H. Duminil-Copin · 2012
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Smirnov’s fermionic observable away from criticality
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Concentration inequalities for non-lipschitz functions with bounded derivatives of higher order
R. Adamczak and P. Wolff · 2015
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Random currents and continuity of Ising model’s spontaneous magnetization
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Correct bounds on the Ising lace-expansion coefficients
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