6 papers
The Critical 2d Stochastic Heat Flow and Related Models
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras
In these lecture notes, we review recent progress in the study of the stochastic heat equation and its discrete analogue, the directed polymer model, in spatial dimension 2. It was…
From disordered systems to the Critical 2D Stochastic Heat Flow
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras
We review our joint work on the scaling limits of disordered systems, linking the notion of disorder relevance/irrelevance to that of sub/super-criticality of singular SPDEs. This…
Higgs boson decays and in the VLFM
Rong-Zhi Sun, Shu-Min Zhao, Yue-Tong Liu +1
We study the Higgs boson decays and in a model with vectorlike fermions and symmetry (VLFM), where is a vector meson ($Ï,\ Ï,\ Ï,…
An Invariance Principle for a Random Walk Among Moving Traps via Thermodynamic Formalism
Siva Athreya, Alexander Drewitz, Rongfeng Sun
We consider a random walk among a Poisson cloud of moving traps on , where the walk is killed at a rate proportional to the number of traps occupying the same positi…
Scaling Limits of Disorder Relevant Non-Binary Spin Systems
Liuyan Li, Vlad Margarint, Rongfeng Sun
In [7], Caravenna, Sun and Zygouras gave general criteria for the partition functions of binary valued spin systems with a relevant random field perturbation to have non-trivial co…
Singularity and regularity of the critical 2D Stochastic Heat Flow
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras
The Critical 2D Stochastic Heat Flow (SHF) provides a natural candidate solution to the ill-posed 2D Stochastic Heat Equation with multiplicative space-time white noise. In this pa…