2 papers
math.PR2025
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 p…
math-ph2025
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…