2 citations · 3 across the 3 of their papers we have counts for
4 papers
Local Space and Time Scaling Exponents for Diffusion on Compact Metric Spaces
John Dever
We provide a new definition of a local walk dimension that depends only on the metric and not on the existence of a particular regular Dirichlet form or heat kernel asymptotics…
A Localized Diffusive Time Exponent for Compact Metric Spaces
John Dever
We provide a definition of a new critical exponent that has the interpretation of a type of local walk dimension, and may be defined on any compact metric space. We then specia…
Local Hausdorff Measure
John Dever
A local Hausdorff dimension is defined on a metric space. We study its properties and use it to define a local Hausdorff measure. We show that in the case that in the local Hausdor…
Eigenvalue Sums of Combinatorial Magnetic Laplacians on Finite Graphs
John Dever
We give a construction of a class of magnetic Laplacian operators on finite directed graphs. We study some general combinatorial and algebraic properties of operators in this class…