2 papers
math.PR2025
Scaling limit for Brownian motions on the -level Sierpinski gaskets: The fractal to Euclidean crossover
David A. Croydon, Ben Hambly, Takashi Kumagai
In two dimensions, the -level Sierpinski gasket is obtained by splitting an equilateral triangle into a collection of equilateral triangles of equal size…
math.PR2024
Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model
Sebastian Andres, David A. Croydon, Takashi Kumagai
We present on-diagonal heat kernel estimates and quantitative homogenization statements for the one-dimensional Bouchaud trap model. The heat kernel estimates are obtained using st…