Universality Classes for 1+1 Dimensional Systems

Explore the concept of universality classes in 1+1 dimensional systems through this insightful lecture by Martin Hairer. Delve into the challenges of reducing complex models across various scientific disciplines to a manageable number of variables for practical computation and accurate prediction. Discover how powerful statistical approaches based on large-scale data analysis are revolutionizing the modeling paradigm. Learn about the integration of statistical inference, high-throughput computation, and physical laws in this emerging field. Examine specific examples and common properties of limits, focusing on a cartoon in 1+1 dimensions. Investigate the weak universality conjecture and its implications. Gain insights into graphical construction techniques and their connection to the Brownian web. This talk, part of a workshop bringing together mathematicians and computational scientists, offers a unique perspective on data-driven modeling of complex systems, with applications ranging from collective dynamics to fluid mechanics.

Intro
Object of study
Example 1
Example 2
Common properties of limits
Cartoon in 1 + 1 dimension
Weak universality conjecture
A natural family
Graphical construction
Link with Brownian web