2 papers
math.PR2026
A correlation bound for the one-dimensional heterogeneous Ising model
Edward Athaide, Maciej GÅuchowski, Jonas Köppl +1
We derive a new upper bound for the correlations in a heterogeneous one-dimensional Ising model with free boundary conditions. The new upper bound quantifies the simultaneous decay…
math.PR2025
Ergodicity Criterion for One-Sided, One-Dimensional IPS with a Long-Lived State
Maciej Gluchowski, Georg Menz
We study one-dimensional, one-sided, nearest-neighbor Interacting Particle Systems (IPS) with positive rates and identify a criterion for ergodicity based on the presence of a long…