A. Dawid

collaborators

3 papers

math.SG2026

Random Hamiltonians II: A central limit theorem and the Hofer geometry of random walks

Adrian Dawid

This paper investigates the global geometry of the group of Hamiltonian diffeomorphisms $Ham (M, ω)$ using random walks. On a large class of symplectic manifolds, we s…

math.SG2025

Random Hamiltonians I: Probability measures and random walks on the Hamiltonian diffeomorphism group

Adrian Dawid

We construct a family of probability measures on the group of Hamiltonian diffeomorphisms of a closed symplectic manifold $(M, I ¨ )$ . We show that these measures are Borel measures w…

math.SG2025

Hofer geometry of $A_{3}$ -configurations

Adrian Dawid

Let $L_{0}, L_{1}, L_{2} \subset M$ be exact Lagrangian spheres in a Liouville domain $M$ with $2 c_{1} (M) = 0$ . If $L_{0}, L_{1}, L_{2}$ form an $A_{3}$ -configuration, we show that $L (L_{0})$ an…

Random Hamiltonians II: A central limit theorem and the Hofer geometry of random walks

Random Hamiltonians I: Probability measures and random walks on the Hamiltonian diffeomorphism group

Hofer geometry of A3​-configurations

Hofer geometry of $A_{3}$ -configurations