2 papers
math.AP2026
Emergent Loewner Dynamics in Slime Mold Growth
Claire David, Aurèle Boussard, Nizare Riane +2
Growth fronts of slime molds are characterized through a direct geometric analysis based on Loewner evolutions, using experimentally acquired time-resolved images. The associated L…
math-ph2025
On Complex Dimensions and Heat Content of Self-Similar Fractals
William E. Hoffer, Michel L. Lapidus
Complex fractal dimensions, defined as poles of appropriate fractal zeta functions, describe the geometric oscillations in fractal sets. In this work, we show that the same possibl…