3 papers
math.PR2026
On the Effect of Bottlenecks in Block Spin Models
Isabel Lammers, Matthias Löwe
We study a bottleneck spin model with spins, split into two Curie-Weiss models at low temperature with a bottleneck between them. We propose multiple ways of how to realize suc…
math.PR2026
The infinite block spin Ising model
Jonas Jalowy, Isabel Lammers, Matthias Löwe
We study a block mean-field Ising model with spins split into blocks, with Curie-Weiss interaction within blocks and nearest-neighbor coupling between blocks. While previ…
math.PR2025
Subcritical Gaussian Multiplicative Chaos in the Wiener Space: Construction, Moments and Volume Decay
Rodrigo Bazaes, Isabel Lammers, Chiranjib Mukherjee
We construct and study properties of an infinite dimensional analog of Kahane's theory of Gaussian multiplicative chaos \cite{K85}. Namely, if is a random field defined w…