10 papers
Odd Diffusion in Three-Dimensional Isotropic Media
Viola Zixin Zhao, Andres Franco Valiente, David T. Limmer
Odd diffusion is a hallmark of chiral active matter, generating currents transverse to density gradients. Existing theories rely on a linear antisymmetric transport coefficient tha…
Nil-Equivariant Tropological Sigma Models on Filtered Geometries
Emil Albrychiewicz, Andrés Franco Valiente, Christopher Stites
We investigate the behavior of tropological (tropical topological) sigma models on higher dimensional target spaces and show that higher dimensional spaces explicitly admit nested…
Interpreting the Synchronization Gap: The Hidden Mechanism Inside Diffusion Transformers
Emil Albrychiewicz, Andrés Franco Valiente, Li-Ching Chen +1
Recent theoretical models of diffusion processes, conceptualized as coupled Ornstein-Uhlenbeck systems, predict a hierarchy of interaction timescales, and consequently, the existen…
Dynamical Regimes of Multimodal Diffusion Models
Emil Albrychiewicz, Andrés Franco Valiente, Li-Ching Chen
Diffusion based generative models have achieved unprecedented fidelity in synthesizing high dimensional data, yet the theoretical mechanisms governing multimodal generation remain…
Notes on the Quantization of Tropological Yang Mills Theory
Emil Albrychiewicz, Andrés Franco Valiente, Viola Zixin Zhao
We continue our investigation into anisotropic topological field theories which arise from a tropical limit of conventional isotropic topological field theories. We analyze both th…
Tropical BF Theory and Tropical Limits of TQFTs
Emil Albrychiewicz, Andrés Franco Valiente
We study anisotropic scaling limits of topological field theories using tropical geometry. The resulting topological field theories are characterized by foliated geometries and are…