Fetching the paper…
Reading the bibliography…
The determination of the Hausdorff dimension of the scaling limit of loop-erased random walk is closely related to the study of the one-point function of loop-erased random walk, i.e., the probability a loop-erased random walk passes through a given vertex.
Euclidean quantum field theory
K. Symanzik · 1969
Earlier work this paper cites.
Critical exponents for transitions with n = − 2 n=-2 components of the order parameter
R. Balian and G. Toulouse · 1973
Earlier work this paper cites.
Classical, n n -component spin systems or fields with negative even integral n n
M. E. Fisher · 1973
Earlier work this paper cites.
Fixed length spin system extended to negative spin dimensionality
H. Knops · 1973
Earlier work this paper cites.
Fixed length spin system extended to negative spin dimensionality
R. Abe and A. Hatano · 1974
Earlier work this paper cites.
The random walk representation of classical spin systems and correlation inequalities
D. Brydges, J. Fröhlich, and T. Spencer · 1982
Earlier work this paper cites.
Exact critical point and critical exponents of O ( n ) {\rm O}(n) models in two dimensions
B. Nienhuis · 1982
Earlier work this paper cites.
Heaps of pieces, i: Basic definitions and combinatorial lemmas
G. X. Viennot · 1986
Earlier work this paper cites.
Intersections of random walks
G. F. Lawler · 1991
Earlier work this paper cites.
Choosing a spanning tree for the integer lattice uniformly
R. Pemantle · 1991
Cited alongside, same era.
Generating random spanning trees more quickly than the cover time
D. B. Wilson · 1996
Cited alongside, same era.
Loop-erased random walks and heaps of cycles
P. Marchal · 1999
Cited alongside, same era.
The Grassmann–Berezin calculus and theorems of the matrix-tree type
A. Abdesselam · 2004
Cited alongside, same era.
Conformal invariance of planar loop-erased random walks and uniform spanning trees
G. F. Lawler, O. Schramm, and W. Werner · 2004
Cited alongside, same era.
The theory of heaps and the Cartier–Foata monoid
C. Krattenthaler · 2006
Cited alongside, same era.
Loop-weighted walk
T. Helmuth · 2016
Later among the works it cites.
Convergence of three-dimensional loop-erased random walk in the natural parametrization
X. Li and D. Shiraishi · 2018
Later among the works it cites.
Introduction to a renormalisation group method
R. Bauerschmidt, D. C. Brydges, and G. Slade · 2019
Later among the works it cites.
The geometry of random walk isomorphism theorems
R. Bauerschmidt, T. Helmuth, and A. Swan · 2019
Later among the works it cites.
One-point function estimates for loop-erased random walk in three dimensions
X. Li and D. Shiraishi · 2019
Later among the works it cites.
Hausdorff dimension of the scaling limit of loop-erased random walk in three dimensions
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
The scaling limit of loop-erased random walk in three dimensions
G. Kozma · 2007
Cited alongside, same era.
Field theory conjecture for loop-erased random walks
A. A. Fedorenko, P. Le Doussal, and K. J. Wiese · 2008
Cited alongside, same era.
Dimension of the loop-erased random walk in three dimensions
D. B. Wilson · 2010
Cited alongside, same era.
D. Shiraishi · 2019
Later among the works it cites.
Field theories for loop-erased random walks
K. J. Wiese and A. A. Fedorenko · 2019
Later among the works it cites.
Scaling limits of the three-dimensional uniform spanning tree and associated random walk
O. Angel, D. A. Croydon, S. Hernandez-Torres, and D. Shiraishi · 2020
Closest in time.
A. Shapira and K. J. Wiese · 2020
Closest in time.