Blackboard sketch with the formula of the Shannon-entropy.

Theoretical approaches to understanding and harnessing complex interactions are multidisciplinary, drawing on concepts and techniques from nonlinear and non-equilibrium statistical physics, control theory, and machine learning.

 

Understanding the universal mechanisms by which complex interactions give rise to emergent structures, states, and dynamics across scales. This includes the role of nonlinearity, feedback, fluctuations, and non-equilibrium conditions in shaping organized complexity in physical, biological, and engineered systems. By combining approaches from non-equilibrium statistical physics and nonlinear dynamics, we ask questions such as how a nonlinear and strongly stochastic system with access to multiple states selects among them, and why.

Fig.: Theoretical approaches to understanding and harnessing complex interactions are multidisciplinary, drawing on concepts and techniques from nonlinear and non-equilibrium statistical physics, control theory, and machine learning.