2 citations · 2 across the 6 of their papers we have counts for
6 papers
-regularity for finite quotient singularities
Matthew Satriano, Wanchun Shen
We study -regularity for complex varieties with finite quotient singularities. We prove that for such varieties, -regularity is equivalent to smoothness whenever the singul…
Local vanishing for toric varieties
Wanchun Shen, Sridhar Venkatesh, Anh Duc Vo
Let be a toric variety. We establish vanishing (and non-vanishing) results for the sheaves , where is a strong log resolution…
On -Du Bois and -rational singularities
Wanchun Shen, Sridhar Venkatesh, Anh Duc Vo
We introduce new notions of -Du Bois and -rational singularities, extending the previous definitions in the case of local complete intersections (lci), to include natural exa…
Quasi-Assouad dimensions for random measures supported on
Wanchun Shen
We introduce a probability distribution on , the space of all Borel probability measures on . Under this distribution, almost all measures are shown…
The -spectrum for a class of self-similar measures with overlap
Kathryn E. Hare, Kevin G. Hare, Wanchun Shen
It is known that the heuristic principle, referred to as the multifractal formalism, need not hold for self-similar measures with overlap, such as the -fold convolution of the C…
The Entropy of Cantor--like measures
Kathryn E. Hare, Kevin G. Hare, Brian P. M. Morris +1
By a Cantor-like measure we mean the unique self-similar probability measure satisfying where $% S_{i}(x)=\frac{x}{d}+\frac{i}{d}\cdo…