Mr Max Auer

I am a mathematician working in dynamical systems and ergodic theory, with a focus on probabilistic limit theorems and rare events in deterministic and random systems. My research investigates how statistical laws emerge from complex long-term behaviour.

My work sits at the intersection of:

• Ergodic theory

• Dynamical systems

• Random dynamical systems

• Probability theory

• Limit theorems (e.g. central limit theorem, stable laws)

I study when deterministic or randomly driven systems exhibit classical probabilistic behaviour, such as the central limit theorem, as well as non-standard limit laws and heavy-tailed distributions. I have a particular interest in limit theorems governing rare and extreme events.

More broadly, my work bridges dynamical systems and probability theory, clarifying when complex systems behave "as if random" and when fundamentally different statistical phenomena arise.