On this page
Record: DEF-RENORM-DIRICHLET-COVARIANCE
Source: Definition III.1.
Short definition
A carrier map is Dirichlet-covariant when it intertwines the scale-dependent Markov semigroups:
What it means
The Dirichlet form supplies an invariant analytic structure at each scale. Intertwining the semigroups says that the selected carrier transport respects that structure rather than merely transporting vectors between Hilbert spaces.
Consequence
If
Scope
The fixed sector need not be one-dimensional, and generic vectors
Read source manuscript. Research manuscript — not peer reviewed.