4 papers
(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on , , and ,
Volker Betz, Alexander Drewitz, Andreas Klippel +1
In this article we investigate the (non)-coincidence of critical parameters for various related percolation problems. More precisely, for the random walk loop soup we show that on…
Improved bounds for connection probabilities in random loop models
Volker Betz, Andreas Klippel, Julian Nauth
We revisit and extend results by Ueltschi [19] on the application of reflection positivity to loop models with . By exploiting additional flexibility in t…
On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
Volker Betz, Benjamin Hinrichs, Mino Nicola Kraft +1
We prove absence of ground states in the infrared-divergent spin boson model at large coupling. Our key argument reduces the proof to verifying long range order in the dual one-dim…
Loop percolation versus link percolation in the random loop model
Volker Betz, Andreas Klippel, Mino Nicola Kraft
In [Muhl2019], Peter Mühlbacher showed that in the random loop model without loop weights, a loop phase transition (assuming it exists) cannot occur at the same parameter as the pe…