The ant on loops: Alexander-Orbach conjecture for the critical level set of the Gaussian free field
Fuente:
arXiv
Saved in:
| Main Authors: | Ganguly, Shirshendu, Nam, Kyeongsik |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow
by: Ganguly, Shirshendu, et al.
Published: (2025)
by: Ganguly, Shirshendu, et al.
Published: (2025)
Last passage percolation in hierarchical environments
by: Ganguly, Shirshendu, et al.
Published: (2024)
by: Ganguly, Shirshendu, et al.
Published: (2024)
Logarithmic corrections to the Alexander-Orbach conjecture for the four-dimensional uniform spanning tree
by: Halberstam, Noah, et al.
Published: (2022)
by: Halberstam, Noah, et al.
Published: (2022)
Critical level set percolation for the GFF in $d>6$: comparison principles and some consequences
by: Ganguly, Shirshendu, et al.
Published: (2024)
by: Ganguly, Shirshendu, et al.
Published: (2024)
Gaussian to log-normal transition for independent sets in a percolated hypercube
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2024)
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2024)
Sharp upper tail behavior of line ensembles via the tangent method
by: Ganguly, Shirshendu, et al.
Published: (2022)
by: Ganguly, Shirshendu, et al.
Published: (2022)
Uniqueness, mixing, and optimal tails for Brownian line ensembles with geometric area tilt
by: Caputo, Pietro, et al.
Published: (2023)
by: Caputo, Pietro, et al.
Published: (2023)
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry
by: Ganguly, Shirshendu, et al.
Published: (2020)
by: Ganguly, Shirshendu, et al.
Published: (2020)
Stability and chaos in dynamical last passage percolation
by: Ganguly, Shirshendu, et al.
Published: (2020)
by: Ganguly, Shirshendu, et al.
Published: (2020)
Invariance principle for the Gaussian Multiplicative Chaos via a high dimensional CLT with low rank increments
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2025)
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2025)
Brownian bridge limit of path measures in the upper tail of KPZ models
by: Ganguly, Shirshendu, et al.
Published: (2023)
by: Ganguly, Shirshendu, et al.
Published: (2023)
van den Berg-Kesten--type correlation inequalities for disjoint polymers in the KPZ universality class
by: Ganguly, Shirshendu, et al.
Published: (2025)
by: Ganguly, Shirshendu, et al.
Published: (2025)
Decoupling of clusters in independent sets in a percolated hypercube
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2025)
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2025)
Spectral large deviations of sparse random matrices
by: Shirshendu Ganguly, et al.
Published: (2024)
by: Shirshendu Ganguly, et al.
Published: (2024)
A switching identity for cable-graph loop soups and Gaussian free fields
by: Werner, Wendelin
Published: (2025)
by: Werner, Wendelin
Published: (2025)
Spectral properties of the zero temperature Edwards-Anderson model
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2025)
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2025)
Conformal field theory of Gaussian free fields in a multiply connected domain
by: Alberts, Tom, et al.
Published: (2024)
by: Alberts, Tom, et al.
Published: (2024)
The Ising magnetisation field and the Gaussian free field
by: López, Tomás Alcalde, et al.
Published: (2026)
by: López, Tomás Alcalde, et al.
Published: (2026)
Gaussian free field and Liouville quantum gravity
by: Berestycki, Nathanaël, et al.
Published: (2024)
by: Berestycki, Nathanaël, et al.
Published: (2024)
Parity questions in critical planar Brownian loop-soups (or "where did the free planar bosons go?")
by: Lehmkuehler, Matthis, et al.
Published: (2024)
by: Lehmkuehler, Matthis, et al.
Published: (2024)
Equality of critical parameters for percolation of Gaussian free field level-sets
by: Duminil-Copin, Hugo, et al.
Published: (2020)
by: Duminil-Copin, Hugo, et al.
Published: (2020)
On the expected number of critical points of locally isotropic Gaussian random fields
by: Xu, Hao, et al.
Published: (2023)
by: Xu, Hao, et al.
Published: (2023)
Arm events in critical planar loop soups
by: Bi, Yijie, et al.
Published: (2025)
by: Bi, Yijie, et al.
Published: (2025)
On quantum to classical comparison for Davies generators
by: Basso, Joao, et al.
Published: (2025)
by: Basso, Joao, et al.
Published: (2025)
Limiting distribution of the chemical distance in high dimensional critical percolation
by: Chatterjee, Shirshendu, et al.
Published: (2025)
by: Chatterjee, Shirshendu, et al.
Published: (2025)
Robust construction of the incipient infinite cluster in high dimensional critical percolation
by: Chatterjee, Shirshendu, et al.
Published: (2025)
by: Chatterjee, Shirshendu, et al.
Published: (2025)
On the Fourier coefficients of critical Gaussian multiplicative chaos
by: Arguin, Louis-Pierre, et al.
Published: (2025)
by: Arguin, Louis-Pierre, et al.
Published: (2025)
The Spherical model and the large-$N$ limit of the Spin $O(N)$ model via the Gaussian free field
by: Aru, Juhan, et al.
Published: (2024)
by: Aru, Juhan, et al.
Published: (2024)
Energy field of critical Ising model and examples of singular fields in QFT
by: Garban, Christophe, et al.
Published: (2025)
by: Garban, Christophe, et al.
Published: (2025)
Near-critical Ising, sine-Gordon at the free fermion point, and bosonization
by: Park, S. C., et al.
Published: (2025)
by: Park, S. C., et al.
Published: (2025)
Limit theorems for the number of sign and level-set clusters of the Gaussian free field
by: McAuley, Michael, et al.
Published: (2025)
by: McAuley, Michael, et al.
Published: (2025)
Exact solution of three-point functions in critical loop models
by: Ang, Morris, et al.
Published: (2026)
by: Ang, Morris, et al.
Published: (2026)
Nesting of double-dimer loops: local fluctuations and convergence to the nesting field of CLE(4)
by: Basok, Mikhail, et al.
Published: (2025)
by: Basok, Mikhail, et al.
Published: (2025)
Dimers on Riemann surfaces and compactified free field
by: Basok, Mikhail
Published: (2023)
by: Basok, Mikhail
Published: (2023)
Macroscopic loops in the random loop model on sparse random graphs
by: Klippel, Andreas
Published: (2026)
by: Klippel, Andreas
Published: (2026)
Interface scaling limit for the critical planar Ising model perturbed by a magnetic field
by: Papon, Léonie
Published: (2024)
by: Papon, Léonie
Published: (2024)
Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model
by: Redig, Frank, et al.
Published: (2025)
by: Redig, Frank, et al.
Published: (2025)
Percolation of thick points of the log-correlated Gaussian field in high dimensions
by: Ding, Jian, et al.
Published: (2024)
by: Ding, Jian, et al.
Published: (2024)
Tightness of exponential metrics for log-correlated Gaussian fields in arbitrary dimension
by: Ding, Jian, et al.
Published: (2023)
by: Ding, Jian, et al.
Published: (2023)
$G$-Gaussian random fields and stochastic quantization under nonlinear expectation
by: Hu, Haoran
Published: (2023)
by: Hu, Haoran
Published: (2023)
Similar Items
-
Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow
by: Ganguly, Shirshendu, et al.
Published: (2025) -
Last passage percolation in hierarchical environments
by: Ganguly, Shirshendu, et al.
Published: (2024) -
Logarithmic corrections to the Alexander-Orbach conjecture for the four-dimensional uniform spanning tree
by: Halberstam, Noah, et al.
Published: (2022) -
Critical level set percolation for the GFF in $d>6$: comparison principles and some consequences
by: Ganguly, Shirshendu, et al.
Published: (2024) -
Gaussian to log-normal transition for independent sets in a percolated hypercube
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2024)