Busani Lab

University of Edinburgh

- · United Kingdom

ERC-funded
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ERC Starting Grant · 2025

Universality in the Kardar–Parisi–Zhang class

This proposal aims to solve central open problems in the study of the Kardar–Parisi–Zhang (KPZ) class as well as develop new tools to study its models. The KPZ class consists of a large set of models, sharing common microscopic dynamical features and aiming at modeling the physical phenomena of random growth interfaces. The two main goals in my proposal are 1) Show that the KPZ-scaling is universal in a large family of non-integrable models in the KPZ class. It is believed that models in the KPZ class should converge, under what is called the KPZ-scaling, to a universal random object. Although widely believed, that the KPZ-scaling is universal is still largely conjectural and was shown…

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