4 citations · 10 across the 19 of their papers we have counts for
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Random Problems in Mathematical Physics
Frederik Ravn Klausen
This PhD thesis deals with a number of different problems in mathematical physics with the common thread that they have probabilistic aspects. The problems all stem from mathematic…
Decoherence is an echo of Anderson localization in open quantum systems
Frederik Ravn Klausen, Simone Warzel
We study the time evolution of single-particle quantum states described by a Lindblad master equation with local terms. By means of a geometric resolvent equation derived for Lindb…
Spectra of generators of Markovian evolution in the thermodynamic limit: From non-Hermitian to full evolution via tridiagonal Laurent matrices
Frederik Ravn Klausen
It is shown that generators of single-particle, translation-invariant Lindblad operators on the infinite line are unitarily equivalent to direct integrals of finite-range bi-infini…
Strict monotonicity, continuity and bounds on the Kertész line for the random-cluster model on
Ulrik Thinggaard Hansen, Frederik Ravn Klausen
Ising and Potts models can be studied using the Fortuin-Kasteleyn representation through the Edwards-Sokal coupling. This adapts to the setting where the models are exposed to an e…
Mass scaling of the near-critical 2D Ising model using random currents
Frederik Ravn Klausen, Aran Raoufi
We examine the Ising model at its critical temperature with an external magnetic field on for . A new proof of exponential decay of the…
On monotonicity and couplings of random currents and the loop--model
Frederik Ravn Klausen
Using recent couplings we provide counterexamples to monotonicity properties of percolation models related to graphical representations of the Ising model. We further prove a new c…