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Self-avoiding walks (SAWs) and loop-erased random walks (LERWs) are two ensembles of random paths with numerous applications in mathematics, statistical physics and quantum field theory.
An exact mapping of the stochastic field theory for Manna sandpiles to interfaces in random media
P. Le Doussal and K.J. Wiese, · 1930
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Exponents for the excluded volume problem as derived by the Wilson method
P.-G. De Gennes, · 1972
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Dynamics of the charge-density wave. I. Impurity pinning in a single chain
H. Fukuyama and P.A. Lee, · 1978
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Electric-field depinning of charge-density waves
P.A. Lee and T.M. Rice, · 1979
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Random magnetic fields, supersymmetry, and negative dimensions
G. Parisi and N. Sourlas, · 1979
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A self-avoiding random walk
G.F. Lawler, · 1980
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Diffusion-limited aggregation, a kinetic critical phenomenon
T. A. Witten and L. M. Sander, · 1981
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Polymers in solutions: Principles and applications of a direct renormalization method
J. des Cloizeaux, · 1981
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Calculation of crossover exponent from Heisenberg to Ising behaviour using the fourth-order ε \varepsilon expansion
J.E. Kirkham, · 1981
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Exact critical point and critical exponents of O ( n ) \mathrm{O}(n) models in two dimensions
B. Nienhuis, · 1982
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Supersymmetric field theories and stochastic differential equations
G. Parisi and N. Sourlas, · 1982
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Fractal dimension of dielectric breakdown
L. Niemeyer, L. Pietronero and H. J. Wiesmann, · 1984
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Infinite conformal symmetry in two-dimensional quantum field theory
A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, · 1984
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Field Theory, the Renormalization Group, and Critical Phenomena
D.J. Amit and V. Martin-Mayor, · 1984
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Sliding charge-density waves as a dynamical critical phenomena
D.S. Fisher, · 1985
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The Laplacian random walk
J. W. Lyklema, C. Evertsz and L. Pietronero, · 1986
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Critical exponent for the loop erased self-avoiding walk by monte carlo methods
A.J. Guttmann and R.J. Bursill, · 1990
Cited alongside, same era.
Polymers in Solution, Their Modelling and Structure
J. des Cloizeaux and G. Jannink, · 1990
Cited alongside, same era.
Loop-erased self-avoiding walks in two dimensions: exact critical exponents and winding numbers
B. Duplantier, · 1992
Cited alongside, same era.
Exact fractal dimension of the loop-erased self-avoiding walk in two dimensions
S.N. Majumdar, · 1992
Cited alongside, same era.
Critical behavior of sliding charge-density waves in 4-epsilon dimensions
O. Narayan and D.S. Fisher, · 1992
Cited alongside, same era.
Dynamics of sliding charge-density waves in 4-epsilon dimensions
O. Narayan and D.S. Fisher, · 1992
Conformal invariance of planar loop-erased random walks and uniform spanning trees
G.F. Lawler, O. Schramm and W. Werner, · 2004
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Functional renormalization group and the field theory of disordered elastic systems
P. Le Doussal, K.J. Wiese and P. Chauve, · 2004
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Supersymmetry breaking in disordered systems and relation to functional renormalization and replica-symmetry breaking
K.J. Wiese, · 2005
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The Laplacian- b b random walk and the Schramm-Loewner evolution
Gregory F. Lawler, · 2006
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Theoretical studies of self-organized criticality
D. Dhar, · 2006
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The scaling limit of loop-erased random walk in three dimensions
G. Kozma, · 2007
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Cited alongside, same era.
Dynamics of interface depinning in a disordered medium
T. Nattermann, S. Stepanow, L.-H. Tang and H. Leschhorn, · 1992
Cited alongside, same era.
The Hausdorff dimension of random walks and the correlation length critical exponent in Euclidean field theory
J. Kiskis, R. Narayanan, and P. Vranas, · 1993
Cited alongside, same era.
Avalanches and the renormalization-group for pinned charge-density waves
O. Narayan and A.A. Middleton, · 1994
Cited alongside, same era.
Driven interface depinning in a disordered medium
H. Leschhorn, T. Nattermann, S. Stepanow and L.-H. Tang, · 1997
Cited alongside, same era.
Scaling limits of loop-erased random walks and uniform spanning trees
O. Schramm, · 2000
Cited alongside, same era.
Vortex-glass phases in type-II superconductors
T. Nattermann and S. Scheidl, · 2000
Cited alongside, same era.
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Phase Transitions and Renormalization Group
J. Zinn-Justin, · 2007
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Field theory conjecture for loop-erased random walks
A.A. Fedorenko, P. Le Doussal and K.J. Wiese, · 2008
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Scaling of loop-erased walks in 2 to 4 dimensions
P. Grassberger, · 2009
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Dimension of the loop-erased random walk in three dimensions
D.B. Wilson, · 2010
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H. Shimada and S. Hikami, · 2016
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K.J. Wiese, · 2016
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Field theory of disordered elastic interfaces to 3-loop order: Results
C. Husemann and K.J. Wiese, · 2017
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Minimally subtracted six-loop renormalization of O ( n ) O(n) -symmetric ϕ 4 {\phi}^{4} theory and critical exponents
M.V. Kompaniets and E. Panzer, · 2017
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Field theory of disordered elastic interfaces at 3-loop order: The β \beta -function
K.J. Wiese, C. Husemann and P. Le Doussal, · 2018
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