From the 1 of 11 linked papers with an AI index.
11 papers
From Kreweras walks to branching perimeter processes of percolated triangulations
Renan Gross, Emmanuel Kammerer, Frederik Ravn Klausen
The paper establishes an explicit geometric link between the perimeter of the peeling process along a percolation interface in random triangulations and the associated Kreweras wal…
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…
Powers in prime bases and a problem on central binomial coefficients
Sebastian Tim Holdum, Frederik Ravn Klausen, Peter Michael Reichstein Rasmussen
It is an open problem whether is divisible by 4 or 9 for all . In connection with this, we prove that for a fixed uneven the asymptotic density of '…
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…