64 citations · 309 across the 55 of their papers we have counts for
69 papers
Eigenvalues of locally positive semidefinite matrices: Non-convexity and Geometry
Jose Acevedo, Grigoriy Blekherman, Sebastian Debus +2
A real symmetric matrix is called -locally positive semidefinite if all of its principal submatrices are positive semidefinite. We investigate the spectral geometry…
Copositive Matrices with Ordered Off-Diagonal Entries
Grigoriy Blekherman, Santanu S. Dey, Alex Dunbar +1
We study copositive matrices which admit a decomposition into a sum of a positive semidefinite matrix and a matrix with nonnegative entries. Our main result shows that if the off-d…
Unifying Sidewinding and Rolling: A Wave-Based Framework for Self-Righting in Elongated Limbless and Multi-Legged Robots
Hangjun Liu, Jiarui Geng, Jinxuan Ding +7
Centipede-like robots offer unique locomotion advantages due to their small cross-sectional area for accessing confined spaces, and their redundant legs enhance robustness in clutt…
Stubborn Polynomials
Lorenzo Baldi, Grigoriy Blekherman, Khazhgali Kozhasov +3
The relationship between nonnegative polynomials and sums of squares is a classical topic in real algebraic geometry. We study \emph{stubborn polynomials} on a real variety …
Robust control for multi-legged elongate robots in noisy environments
Baxi Chong, Juntao He, Daniel Irvine +8
Modern two and four legged robots exhibit impressive mobility on complex terrain, largely attributed to advancement in learning algorithms. However, these systems often rely on hig…
On Domination Exponents for Pairs of Graphs
Grigoriy Blekherman, Annie Raymond, Alexander Razborov +1
Understanding graph density profiles is notoriously challenging. Even for pairs of graphs, complete characterizations are known only in very limited cases, such as edges versus cli…