• Graph Constructions for the Contact Process with a Prescribed Critical Rate 

      Bethuelsen, Stein Andreas; Valesin, Daniel; Baptista da Silva, Gabriel (Journal article; Peer reviewed, 2021)
      We construct graphs (trees of bounded degree) on which the contact process has critical rate (which will be the same for both global and local survival) equal to any prescribed value between zero and λc(Z), the critical ...
    • Quenched invariance principle for random walks on dynamically averaging random conductances 

      Bethuelsen, Stein Andreas; Hirsch, Christian; Mönch, Christian (Journal article; Peer reviewed, 2021)
      We prove a quenched invariance principle for continuous-time random walks in a dynamically averaging environment on Z. In the beginning, the conductances may fluctuate substantially, but we assume that as time proceeds, ...