3 papers
math.PR2026
Fractional Wiener chaos: Part 2. Interface spectral chaos
Elena Boguslavskaya, Elina Shishkina
We construct a product spectral decomposition from power-normalised parabolic-cylinder functions. At noninteger real orders, these functions are not square integrable with respect…
math.PR2026
Entire Logarithmic Signatures of Bounded-Variation Paths in Finite Dimensions
Elena Boguslavskaya
We classify signatures of bounded-variation paths in finite-dimensional real normed spaces whose logarithms are entire, in the sense of superexponential homogeneous decay. The zero…
math.PR2023
Fractional Wiener Chaos
Elena Boguslavskaya, Elina Shishkina
The area of fractional calculus has made its way into various pure and applied scientific fields, as evidenced by its integration into numerous disciplines. An increasing number of…