3 citations · 8 across the 7 of their papers we have counts for
10 papers
On support sets of the critical Liouville Quantum Gravity
Marek Biskup, Stephan Gufler, Oren Louidor
We study fractal properties of support sets of the critical Liouville Quantum Gravity (cLQG) associated with the Gaussian Free Field in planar domains. Specifically, we completely…
AMP algorithms and Stein's method: Understanding TAP equations with a new method
Stephan Gufler, Adrien Schertzer, Marius A. Schmidt
We propose a new iterative construction of solutions of the classical TAP equations for the Sherrington-Kirkpatrick model, i.e. with finite-size Onsager correction. The algorithm c…
On concavity of TAP free energy in the SK model
Stephan Gufler, Adrien Schertzer, Marius A. Schmidt
We analyse the Hessian of the Thouless-Anderson-Palmer (TAP) free energy for the Sherrington-Kirkpatrick model, below the de Almeida-Thouless line, evaluated in Bolthausen's approx…
TAP equations are repulsive
Stephan Gufler, Jan Lukas Igelbrink, Nicola Kistler
We show that for low enough temperatures, but still above the AT line, the Jacobian of the TAP equations for the SK model has a macroscopic fraction of eigenvalues outside the unit…
Evolving genealogies for branching populations under selection and competition
Airam Blancas, Stephan Gufler, Sandra Kliem +2
For a continuous state branching process with two types of individuals which are subject to selection and density dependent competition, we characterize the joint evolution of popu…
Ballot Theorems for the Two-Dimensional Discrete Gaussian Free Field
Stephan Gufler, Oren Louidor
We provide uniform bounds and asymptotics for the probability that a two-dimensional discrete Gaussian free field on an annulus-like domain and with Dirichlet boundary conditions s…
Near-maxima of the two-dimensional Discrete Gaussian Free Field
Marek Biskup, Stephan Gufler, Oren Louidor
We consider the Discrete Gaussian Free Field (DGFF) in domains arising, via scaling by , from nice domains . We study the statis…
Invariance principles for tree-valued Cannings chains
Stephan Gufler
We consider sequences of tree-valued Markov chains that describe evolving genealogies in Cannings models, and we show their convergence in distribution to tree-valued Fleming-Viot…
A representation for exchangeable coalescent trees and generalized tree-valued Fleming-Viot processes
Stephan Gufler
We give a de Finetti type representation for exchangeable random coalescent trees (formally described as semi-ultrametrics) in terms of sampling iid sequences from marked metric me…
Pathwise construction of tree-valued Fleming-Viot processes
Stephan Gufler
In a random complete and separable metric space that we call the lookdown space, we encode the genealogical distances between all individuals ever alive in a lookdown model with si…