5 papers · 2 filters
The canonical SLE-reversible Weil--Petersson response diffusion
Chunhao Cai
The rough response calculus for the rotationally marked SLE welding law gives a closed Weil--Petersson energy but does not by itself give a process on rough weldings. For $0<κ\leq4…
Closed Response Calculus and Joint Densities for the Liouville Quantum Gravity Metric
Chunhao Cai
We give a general criterion for transferring first-order responses on an underlying probability space to a closed differential calculus on the law of an observable. An integration-…
Spectral Simplicity and Joint Eigenvalue Densities for a Non-Gaussian Brownian Time Change
Chunhao Cai
We study a Brownian time change on the unit square whose speed measure is constructed from a Dirichlet eigenfunction expansion with independent non-Gaussian coefficients. For $0<γ<…
Response Calculus for Spectral Simplicity and Joint Eigenvalue Densities
Chunhao Cai
We develop a perturbative response calculus for spectral problems obtained by changing the speed measure of a fixed symmetric energy form in a Gaussian environment. If Cameron--Mar…
Truncated Signature Information for Mixed Fractional Brownian Paths
Chunhao Cai
We study finite expected-signature information for mixed-fBm paths with Hurst indices above . Up to level three, the only parameter-dependent expected features are the varianc…