4 citations · 10 across the 19 of their papers we have counts for
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The End of the Double Random Current
Ulrik Thinggaard Hansen, Frederik Ravn Klausen
The Ising correlation function can be expressed in terms of connectivity probabilities of a random graph known as the double random current. In 2016, Duminil-Copin asked whether th…
The Supercritical Loop O(1) and Random Current models: Uniqueness and Mixing
Ulrik Thinggaard Hansen, Frederik Ravn Klausen
Much recent rigorous study of the classical ferromagnetic Ising model has been powered by its graphical representations, such as the random current and loop O(1) model (high temper…
Half-plane non-coexistence without FKG
Frederik Ravn Klausen, Noah Kravitz
For an edge percolation measure on the infinite square lattice, let (respectively, ) denote its marginal (respectively, the marginal of its planar d…
A simple proof of exponential decay for the near-critical planar Ising model
Jianping Jiang, Frederik Ravn Klausen
For the Ising model defined on at critical temperature with external field , we give a simple and elementary proof that its truncated two-point function…
A General Coupling for Ising Models and Beyond
Ulrik Thinggaard Hansen, Jianping Jiang, Frederik Ravn Klausen
The couplings between the Ising model and its graphical representations, the random-cluster, random current and loop models, are put on common footing through a gen…
Non-uniqueness of phase transitions for graphical representations of the Ising model on tree-like graphs
Ulrik Thinggaard Hansen, Frederik Ravn Klausen, Peter Wildemann
We consider the graphical representations of the Ising model on tree-like graphs. We construct a class of graphs on which the loop model and the single random curre…
The Uniform Even Subgraph and Its Connection to Phase Transitions of Graphical Representations of the Ising Model
Ulrik Thinggaard Hansen, Boris Kjær, Frederik Ravn Klausen
The uniform even subgraph is intimately related to the Ising model, the random-cluster model, the random current model, and the loop (1) model. In this paper, we first…