
Delve into hyperbolic iterated function systems and their dimensional properties, exploring transversality methods for analyzing one-parameter families and their geometric characteristics.

Delve into hyperbolic iterated function systems and their dimensional properties, exploring transversality methods for analyzing one-parameter families and their geometric characteristics in mathematical dynamics.

Explore the geometry of the doubly periodic Aztec diamond dimer model, including arctic curves, amoeba, and local fluctuations in statistical mechanics and discrete geometry.

Explore recent developments in randomness propagation for dispersive PDE, focusing on Gibbs measure invariance for 2D NLS and 3D cubic NLW, using advanced mathematical techniques.