Fetching the paper…
Reading the bibliography…
The peanosphere construction of Duplantier, Miller, and Sheffield provides a means of representing a $\gamma$-Liouville quantum gravity (LQG) surface, $\gamma \in (0,2)$, decorated with a space-filling form of Schramm's SLE$_\kappa$, $\kappa = 16/\gamma^2 \in (4,\infty)$, $\eta$ as a gluing of a pair of trees which are encoded by a correlated two-dimensional Brownian motion $Z$.
Existence and uniqueness of the Liouville quantum gravity metric for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 1905
Earlier work this paper cites.
KPZ formulas for the Liouville quantum gravity metric
E. Gwynne and J. Pfeffer · 1905
Earlier work this paper cites.
Convergence of uniform triangulations under the Cardy embedding
N. Holden and X. Sun · 1905
Earlier work this paper cites.
A multifractal boundary spectrum for SLE ( ρ ) κ {}_{\kappa}(\rho)
L. Schoug · 1905
Earlier work this paper cites.
Concerning upper semi-continuous collections of continua
R. L. Moore · 1928
Earlier work this paper cites.
Sample path properties of processes with stable components
W. E. Pruitt and S. J. Taylor · 1969
Earlier work this paper cites.
Uniform dimension results for processes with independent increments
J. Hawkes and W. E. Pruitt · 1973
Earlier work this paper cites.
On the Hausdorff dimension of Brownian cone points
S. N. Evans · 1985
Earlier work this paper cites.
Excursions in a cone for two-dimensional Brownian motion
M. Shimura · 1985
Earlier work this paper cites.
Conformal invariance and intersections of random walks
B. Duplantier and K.-H. Kwon · 1988
Earlier work this paper cites.
Fractal structure of 2D-quantum gravity
V. Knizhnik, A. Polyakov, and A. Zamolodchikov · 1988
Earlier work this paper cites.
Meandering points of two-dimensional Brownian motion
M. Shimura · 1988
Earlier work this paper cites.
Lévy processes
J. Bertoin · 1996
Earlier work this paper cites.
Random walks and quantum gravity in two dimensions
B. Duplantier · 1998
Earlier work this paper cites.
Subordinators: examples and applications
J. Bertoin · 1999
Earlier work this paper cites.
Conformally invariant fractals and potential theory
B. Duplantier · 2000
Earlier work this paper cites.
Scaling limits of loop-erased random walks and uniform spanning trees
O. Schramm · 2000
Earlier work this paper cites.
Values of Brownian intersection exponents. I. Half-plane exponents
G. F. Lawler, O. Schramm, and W. Werner · 2001
Earlier work this paper cites.
Values of Brownian intersection exponents. II. Plane exponents
G. F. Lawler, O. Schramm, and W. Werner · 2001
Earlier work this paper cites.
Harmonic measure and winding of conformally invariant curves
B. Duplantier and I. Binder · 2002
Earlier work this paper cites.
Values of Brownian intersection exponents. III. Two-sided exponents
G. F. Lawler, O. Schramm, and W. Werner · 2002
Earlier work this paper cites.
Higher conformal multifractality
B. Duplantier · 2003
Earlier work this paper cites.
Conformal restriction: the chordal case
G. Lawler, O. Schramm, and W. Werner · 2003
Earlier work this paper cites.
Basic properties of SLE
S. Rohde and O. Schramm · 2005
Earlier work this paper cites.
SLE coordinate changes
O. Schramm and D. B. Wilson · 2005
Earlier work this paper cites.
Hausdorff dimension of the SLE curve intersected with the real line
T. Alberts and S. Sheffield · 2008
Earlier work this paper cites.
The dimension of the SLE curves
V. Beffara · 2008
Earlier work this paper cites.
Harmonic measure and winding of random conformal paths: A Coulomb gas perspective
B. Duplantier and I. Binder · 2008
Earlier work this paper cites.
Hölder regularity of the SLE trace
J. R. Lind · 2008
Earlier work this paper cites.
D. Zhan · 2008
Earlier work this paper cites.
D. Beliaev and S. Smirnov · 2009
Earlier work this paper cites.
KPZ in one dimensional random geometry of multiplicative cascades
I. Benjamini and O. Schramm · 2009
Earlier work this paper cites.
Duality of Schramm-Loewner evolutions
J. Dubédat · 2009
Earlier work this paper cites.
Exploration trees and conformal loop ensembles
S. Sheffield · 2009
Cited alongside, same era.
Conformal radii for conformal loop ensembles
O. Schramm, S. Sheffield, and D. B. Wilson · 2009
Cited alongside, same era.
Thick points of the Gaussian free field
X. Hu, J. Miller, and Y. Peres · 2010
Cited alongside, same era.
Brownian motion
P. Mörters and Y. Peres · 2010
Cited alongside, same era.
D. Zhan · 2010
Cited alongside, same era.
Liouville quantum gravity and KPZ
B. Duplantier and S. Sheffield · 2011
KPZ formula derived from Liouville heat kernel
N. Berestycki, C. Garban, R. Rhodes, and V. Vargas · 2016
Closest in time.
Dimension transformation formula for conformal maps into the complement of an SLE curve
E. Gwynne, N. Holden, and J. Miller · 2016
Closest in time.
Joint scaling limit of a bipolar-oriented triangulation and its dual in the peanosphere sense
E. Gwynne, N. Holden, and X. Sun · 2016
Closest in time.
Convergence of the self-avoiding walk on random quadrangulations to SLE 8/3
E. Gwynne and J. Miller · 2016
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Optimal Hölder exponent for the SLE path
F. Johansson Viklund and G. F. Lawler · 2011
Cited alongside, same era.
Random soups, carpets and fractal dimensions
S. Nacu and W. Werner · 2011
Cited alongside, same era.
KPZ formula for log-infinitely divisible multifractal random measures
R. Rhodes and V. Vargas · 2011
Cited alongside, same era.
Almost sure multifractal spectrum for the tip of an SLE curve
F. Johansson Viklund and G. F. Lawler · 2012
Cited alongside, same era.
Conformal loop ensembles: the Markovian characterization and the loop-soup construction
S. Sheffield and W. Werner · 2012
Cited alongside, same era.
Gaussian multiplicative chaos and KPZ duality
J. Barral, X. Jin, R. Rhodes, and V. Vargas · 2013
Cited alongside, same era.
C. Garban, R. Rhodes, and V. Vargas · 2016
Closest in time.
Imaginary geometry III: reversibility of SLE κ
J. Miller and S. Sheffield · 2016
Closest in time.
Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
J. Miller and S. Sheffield · 2016
Closest in time.
Liouville quantum gravity and the Brownian map III: the conformal structure is determined
J. Miller and S. Sheffield · 2016
Closest in time.
Imaginary geometry I: interacting SLEs
J. Miller and S. Sheffield · 2016
Closest in time.
J. Miller and S. Sheffield · 2016
Closest in time.
J. Miller and S. Sheffield · 2016
Closest in time.
Extreme nesting in the conformal loop ensemble
J. Miller, S. S. Watson, and D. B. Wilson · 2016
Closest in time.
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
S. Sheffield · 2016
Closest in time.
Quantum gravity and inventory accumulation
S. Sheffield · 2016
Closest in time.
Brownian motion correlation in the peanosphere for κ > 8 \kappa>8
E. Gwynne, N. Holden, J. Miller, and X. Sun · 2017
Closest in time.
Convergence of percolation on uniform quadrangulations with boundary to SLE 6
E. Gwynne and J. Miller · 2017
Closest in time.
E. Gwynne and J. Miller · 2017
Closest in time.
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
E. Gwynne, J. Miller, and S. Sheffield · 2017
Closest in time.
Almost sure multifractal spectrum of SLE
E. Gwynne, J. Miller, and X. Sun · 2017
Closest in time.
E. Gwynne and X. Sun · 2017
Closest in time.
Schnyder woods, SLE(16), and Liouville quantum gravity
Y. Li, X. Sun, and S. S. Watson · 2017
Closest in time.
Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
J. Miller and S. Sheffield · 2017
Closest in time.
J. Miller, S. Sheffield, and W. Werner · 2017
Closest in time.
Intersections of SLE Paths: the double and cut point dimension of SLE
J. Miller and H. Wu · 2017
Closest in time.
Boundary arm exponents for SLE
H. Wu and D. Zhan · 2017
Closest in time.
E. Gwynne, A. Kassel, J. Miller, and D. B. Wilson · 2018
Closest in time.
Convergence of the topology of critical Fortuin-Kasteleyn planar maps to that of CLE κ
E. Gwynne and J. Miller · 2018
Closest in time.
E. Gwynne, J. Miller, and S. Sheffield · 2018
Closest in time.
SLE as a mating of trees in Euclidean geometry
N. Holden and X. Sun · 2018
Closest in time.
Alternating arm exponents for the critical planar Ising model
H. Wu · 2018
Closest in time.
Polychromatic arm exponents for the critical planar FK-Ising model
H. Wu · 2018
Closest in time.
Scaling limits for the critical Fortuin–Kasteleyn model on a random planar map I: Cone times
E. Gwynne, C. Mao, and X. Sun · 2019
Closest in time.