2 citations · 4 across the 4 of their papers we have counts for
4 papers
Harmonic analysis on graphs via Bratteli diagrams and path-space measures
Sergey Bezuglyi, Palle E. T. Jorgensen
The past decade has seen a flourishing of advances in harmonic analysis of graphs. They lie at the crossroads of graph theory and such analytical tools as graph Laplacians, Markov…
Laplace operators in finite energy and dissipation spaces
Sergey Bezuglyi, Palle E. T. Jorgensen
Recent applications of large network models to machine learning, and to neural network suggest a need for a systematic study of the general correspondence, (i) discrete vs (ii) con…
Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures
Sergey Bezuglyi, Palle E. T. Jorgensen
We study a new class of representations of the Cuntz-Krieger algebras constructed by semibranching function systems, naturally related to stationary Bratteli diagram…
Homeomorphic measures on stationary Bratteli diagrams
S. Bezuglyi, O. Karpel
We study the set S of ergodic probability Borel measures on stationary non-simple Bratteli diagrams which are invariant with respect to the tail equivalence relation. Equivalently,…