4 citations · 6 across the 4 of their papers we have counts for
5 papers
Quantitative towers in finite difference calculus approximating the continuum
R. Lawrence, N. Ranade, D. Sullivan
Multivector fields and differential forms at the continuum level have respectively two commutative associative products, a third composition product between them and various operat…
Topological Perspectives on Statistical Quantities II
Nissim Ranade
Algebras and their morphisms are a framework in which one can study algebras and their maps that are not commutaive-associative but are homotopic to being that. In stati…
Topological Perspectives on Statistical Quantities I
Nissim Ranade
In statistics cumulants are defined to be functions that measure the linear independence of random variables. In the non-communicative case the Boolean cumulants can be described a…
The Cumulant Bijection and Differential Forms
Nissim Ranade, Dennis Sullivan
According to Jae Suk Park, physicists use "canonical coordinate systems" to compute correlations in perturbative quantum field theories. One may interpret these canonical coordinat…
Structure on the Top Homology and Related Algorithms
Nissim Ranade, Chandrika Sadanand, Dennis Sullivan
We explore the special structure of the top-dimensional homology of any compact triangulable space of dimension . Since there are no -dimensional cells, the top homol…