75 citations · 83 across the 11 of their papers we have counts for
4 papers · 1 filter
BV functions and fractional Laplacians on Dirichlet spaces
Patricia Alonso Ruiz, Fabrice Baudoin, Li Chen +3
We study Besov critical exponents and isoperimetric and Sobolev inequalities associated with fractional Laplacians on metric measure spaces. The main tool is the theory of he…
Perfect quantum state transfer on diamond fractal graphs
Maxim Derevyagin, Gerald V. Dunne, Gamal Mograby +1
In the quest for designing novel protocols for quantum information and quantum computation, an important goal is to achieve perfect quantum state transfer for systems beyond the we…
Spectral properties of graphs associated to the Basilica group
Antoni Brzoska, Courtney George, Samantha Jarvis +2
We provide the foundation of the spectral analysis of the Laplacian on the orbital Schreier graphs of the Basilica group, the iterated monodromy group of the quadratic polynomial $…
Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates
Patricia Alonso-Ruiz, Fabrice Baudoin, Li Chen +3
With a view toward fractal spaces, by using a Korevaar-Schoen space approach, we introduce the class of bounded variation (BV) functions in a general framework of strongly local Di…