3 papers
math.DS2019
Superdiffusive limits for deterministic fast-slow dynamical systems
Ilya Chevyrev, Peter K. Friz, Alexey Korepanov +1
We consider deterministic fast-slow dynamical systems on of the form \[ \begin{cases} x_{k+1}^{(n)} = x_k^{(n)} + n^{-1} a(x_k^{(n)}) + n^{-1/α} b(x_k^{(n)})…
math.PR2018
Yang-Mills measure on the two-dimensional torus as a random distribution
Ilya Chevyrev
We introduce a space of distributional one-forms on the torus for which holonomies along axis paths are well-defined and induce Hölder continuous functions o…
stat.ML2018
Persistence paths and signature features in topological data analysis
Ilya Chevyrev, Vidit Nanda, Harald Oberhauser
We introduce a new feature map for barcodes that arise in persistent homology computation. The main idea is to first realize each barcode as a path in a convenient vector space, an…