A. Frank

collaborators

2 papers

math.GM2026

Multicriticality and Scaling: Mellin Spectral Theory, and the Decoupling of Geometric and Spectral Exponents

Laurence A. Jacobs, Alejandro Frank

We develop a spectral theory of scale-invariant operators on the multiplicative half-line $(R_{+}, d x / x)$ . A symmetric kernel $M (x, y)$ satisfying $M(kx, ky) = k^{-a}M(x, y)…

nlin.CD2026

Temporal Matrix Scale Invariance and the Classification of Tipping Points

Alejandro Frank, Laurence A. Jacobs

We introduce temporal matrix scale invariance (tMSI), a mathematical structure for the two-time correlation kernel of a multivariate observable. A kernel $C (t, t^{'})$ satisfies tMSI o…