The Multi-Target Problem on Cartesian, Hexagonal and Triangular Lattices in Homogeneous and Heterogeneous Environments

Watch a one-hour research seminar exploring the mathematical theory of multi-target interactions on different lattice structures, presented by Professor Luca Giuggioli from the University of Bristol. Discover a groundbreaking mathematical formalism that addresses the century-old challenge of quantifying encounter statistics between multiple random processes. Learn how spatial discretization enables analytical predictions for interaction dynamics across Cartesian, hexagonal, and triangular lattices, both in homogeneous and heterogeneous environments. Explore practical applications including animal thigmotaxis and transcription factor searches on DNA, while gaining insights into a new fundamental equation that extends beyond traditional diffusion and Smoluchowski equations when dealing with permeable barriers. Delve into the mathematics of movement through this interdisciplinary presentation that bridges concepts from animal ecology and cell biology.