Exponential decay of correlations in the two-dimensional random field Ising model

Superlinearity of geodesic length in 2d critical first-passage percolation

Original

M. Damron and P. Tang · 1902

Earlier work this paper cites.

Correlation inequalities on some partially ordered sets

C. M. Fortuin, P. W. Kasteleyn, and J. Ginibre · 1971

Earlier work this paper cites.

Random-field instability of the ordered state of continuous symmetry

Y. Imry and S.-K. Ma · 1975

Earlier work this paper cites.

Roughening and lower critical dimension in the random-field ising model

G. Grinstein and S.-K. Ma · 1982

Earlier work this paper cites.

Possible line of critical points for a random field ising model in dimension 2

Derrida, B. and Shnidman, Y · 1984

Earlier work this paper cites.

Improved perturbation expansion for disordered systems: beating Griffiths singularities

J. Fröhlich and J. Z. Imbrie · 1984

Earlier work this paper cites.

Some properties of random Ising models

A. Berretti · 1985

Cited alongside, same era.

The ground state of the three-dimensional random-field Ising model

J. Z. Imbrie · 1985

Cited alongside, same era.

The hierarchical random field Ising model

J. Bricmont and A. Kupiainen · 1987

Cited alongside, same era.

Phase transition in the

J. Bricmont and A. Kupiainen · 1988

Cited alongside, same era.

Rounding of first-order phase transitions in systems with quenched disorder

M. Aizenman and J. Wehr · 1989

Cited alongside, same era.

Rounding effects of quenched randomness on first-order phase transitions

M. Aizenman and J. Wehr · 1990

Cited alongside, same era.

Exponential decay of correlations in the

A uniqueness condition for Gibbs measures, with application to the

J. van den Berg · 1993

Later among the works it cites.

Hölder regularity and dimension bounds for random curves

M. Aizenman and A. Burchard · 1999

Later among the works it cites.

Random surfaces

S. Sheffield · 2005

Later among the works it cites.

A note on exponential decay in the random field Ising model

F. Camia, J. Jiang, and C. M. Newman · 2018

Later among the works it cites.

On the decay of correlations in the random field Ising model

S. Chatterjee · 2018

Later among the works it cites.

A power-law upper bound on the correlations in the

M. Aizenman and R. Peled · 2019

Closest in time.