Fetching the paper…
Reading the bibliography…
We prove an inequality on decision trees on monotonic measures which generalizes the OSSS inequality on product spaces.
Some generalized order-disorder transformations
R. B. Potts · 1952
Earlier work this paper cites.
On the random-cluster model. I. Introduction and relation to other models
C. M. Fortuin and P. W. Kasteleyn · 1972
Earlier work this paper cites.
Probabilistic computations: Toward a unified measure of complexity
A. C. Yao · 1977
Earlier work this paper cites.
Exactly solved models in statistical mechanics
R. J. Baxter · 1982
Earlier work this paper cites.
First-order phase transitions in large entropy lattice models
R. Kotecký and S. B. Shlosman · 1982
Earlier work this paper cites.
On the critical behavior of the magnetization in high-dimensional Ising models
M. Aizenman and R. Fernández · 1986
Earlier work this paper cites.
Coincidence of critical-points in the percolation problems
M. V. Menshikov · 1986
Earlier work this paper cites.
Sharpness of the phase transition in percolation models
M. Aizenman and D. J. Barsky · 1987
Earlier work this paper cites.
The phase transition in a general class of Ising-type models is sharp
M. Aizenman, D. J. Barsky, and R. Fernández · 1987
Earlier work this paper cites.
The influence of variables on boolean functions
J. Kahn, G. Kalai, and N. Linial · 1988
Earlier work this paper cites.
Interfaces in the potts model i: Pirogov-sinai theory of the fortuin-kasteleyn representation
L. Laanait, A. Messager, S. Miracle-Solé, J. Ruiz, and S. Shlosman · 1991
Earlier work this paper cites.
The influence of variables in product spaces
J. Bourgain, J. Kahn, G. Kalai, Y. Katznelson, and N. Linial · 1992
Earlier work this paper cites.
Lectures on glauber dynamics for discrete spin models
F. Martinelli · 1999
Cited alongside, same era.
Complexity measures and decision tree complexity: a survey
H. Buhrman and R. De Wolf · 2002
Cited alongside, same era.
Rigorous analysis of discontinuous phase transitions via mean-field bounds
Marek Biskup and Lincoln Chayes · 2003
Cited alongside, same era.
Mixing properties and exponential decay for lattice systems in finite volumes
K. Alexander · 2004
Cited alongside, same era.
Every decision tree has an influential variable
R. O’Donnell, M. Saks, O. Schramm, and R. Servedio · 2005
Cited alongside, same era.
Random surfaces
S. Sheffield · 2005
Cited alongside, same era.
Parafermionic observables and their applications to planar statistical physics models
H. Duminil-Copin · 2013
Later among the works it cites.
Noise sensitivity of Boolean functions and percolation
C. Garban and J. Steif · 2014
Later among the works it cites.
Analysis of Boolean functions
R. O’Donnell · 2014
Later among the works it cites.
Random currents and continuity of Ising model’s spontaneous magnetization
M. Aizenman, H. Duminil-Copin, and V. Sidoravicius · 2015
Later among the works it cites.
A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model
H. Duminil-Copin and V. Tassion · 2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
B. Graham and G. Grimmett · 2006
Cited alongside, same era.
The random-cluster model
G. R. Grimmett · 2006
Cited alongside, same era.
Fluctuation theory of connectivities for subcritical random cluster models
M. Campanino, D. Ioffe, and Y. Velenik · 2008
Cited alongside, same era.
Percolation on self-dual polygon configurations
B. Bollobás and O. Riordan · 2010
Cited alongside, same era.
Quantitative noise sensitivity and exceptional times for percolation
O. Schramm and J. Steif · 2010
Cited alongside, same era.
The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1 q\geq 1
V. Beffara and H. Duminil-Copin · 2012
Cited alongside, same era.
H. Duminil-Copin, M. Gagnebin, M. Harel, I. Manolescu, and V. Tassion · 2016
Later among the works it cites.
The phase transitions of the planar random-cluster and potts models with q ≥ 1 q\geq 1 are sharp
H. Duminil-Copin and I. Manolescu · 2016
Later among the works it cites.
A new computation of the critical point for the planar random-cluster model with q ≥ 1 q\geq 1
H. Duminil-Copin, A. Raoufi, and V. Tassion · 2016
Later among the works it cites.
The phase transitions of the random-cluster and potts models on slabs with q ≥ 1 q\geq 1 are sharp
I. Manolescu and A. Raoufi · 2016
Later among the works it cites.
Exponential decay of connection probabilities for subcritical Voronoi percolation in ℝ d \mathbb{R}^{d}
H. Duminil-Copin, A. Raoufi, and V. Tassion · 2017
Closest in time.
Subcritical phase of d d -dimensional Poisson-boolean percolation and its vacant set
H. Duminil-Copin, A. Raoufi, and V. Tassion · 2017
Closest in time.
Continuity of the phase transition for planar random-cluster and Potts models with 1 ≤ q ≤ 4 1\leq q\leq 4
H. Duminil-Copin, V. Sidoravicius, and V. Tassion · 2017
Closest in time.