3 citations · 3 across the 5 of their papers we have counts for
6 papers
Electrical networks and Lagrangian Grassmannians
Sunita Chepuri, Terrence George, David E Speyer
Cactus networks were introduced by Lam as a generalization of planar electrical networks. He defined a map from these networks to the Grassmannian Gr() and showed that the…
-positivity of dual canonical basis elements from 1324- and 2143-avoiding Kazhdan-Lusztig immanants
Sunita Chepuri, Melissa Sherman-Bennett
In this note, we show that certain dual canonical basis elements of are positive when evaluated on -positive matrices, matrices whose minors of size $k \times…
Symmetric Group Action of the Birational -matrix
Sunita Chepuri, Feiyang Lin
The birational -matrix is a transformation that appears in the theory of geometric crystals, the study of total positivity in loop groups, and discrete dynamical systems. This $…
Recovering Conductances of Resistor Networks in a Punctured Disk
Yulia Alexandr, Brian Burks, Sunita Chepuri +1
The response matrix of a resistor network is the linear map from the potential at the boundary vertices to the net current at the boundary vertices. For circular planar resistor ne…
Plabic R-matrices
Sunita Chepuri
Postnikov's plabic graphs in a disk are used to parametrize totally positive Grassmannians. In recent years plabic graphs have found numerous applications in math and physics. One…
Factorizations of -Nonnegative Matrices
Sunita Chepuri, Neeraja Kulkarni, Joe Suk +1
A matrix is -nonnegative if all its minors of size or less are nonnegative. We give a parametrized set of generators and relations for the semigroup of -nonnegative $n\ti…