Organized by:
- Ofer Busani (University of Edinburgh)
- Barbara Dembin (CNRS and University of Strasbourg)
- Evan Sorensen (Columbia University)
The area of random growth models is an extensive and active field in both mathematics and physics. In recent years, the field has seen tremendous progress in our understanding of random growth models in one dimension. For example, in the 1+1 Kardar-Parisi-Zhang (KPZ) class, the main scaling limits have been identified due to the existence of integrable, or exactly solvable, models; i.e. models with rich algebraic structure.
On the other hand, new techniques for dealing with non-exactly solvable models and models in higher dimensions have started to arise. Many breakthroughs have come, in part, by importing a wide variety of techniques across different areas of probability. In this workshop, we review recent developments and progress in various models of random growth across common themes with emphasis on the new techniques and ideas leading to it.