2 citations · 5 across the 40 of their papers we have counts for
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Tree Coordinates and Range Martingales for Positive Operator-Valued Measures
James Tian
Positive operator-valued measures on a tree admit intrinsic local coordinates coming from the way each cylinder value splits into its children. We show that these local splittings,…
Tree Capacity and Splitting Isometries for Subinvariant Kernels
James Tian
Starting from a subinvariant positive definite kernel under a branching pullback, we attach to the resulting kernel sequence an electrical network on the word tree whose edge weigh…
Subinvariant kernel dynamics
James Tian
We study positive definite kernels pulled back along a finite family of self-maps under a subinvariance inequality for the associated branching operator. Iteration produces an incr…
Boundary Disintegration for Weighted Residual Energy Trees
James Tian
We study iterated weighted residual (WR) splittings generated by a positive operator and a finite family of contractions in $B\le…