3 papers
math.PR2026
On the randomized Horn problem and the surface tension of hives
Aalok Gangopadhyay, Hariharan Narayanan
Given two nonincreasing -tuples of real numbers , , the Horn problem asks for a description of all nonincreasing -tuples of real numbers such that there ex…
math.CO2026
Deterministically approximating the volume of a Kostka polytope
Hariharan Narayanan, Piyush Srivastava
Polynomial-time deterministic approximation of volumes of polytopes, up to an approximation factor that grows at most sub-exponentially with the dimension, remains an open problem.…
eess.SY2025
PRREACH: Probabilistic Risk Assessment Using Reachability for UAV Control
Nicole Fronda, Hariharan Narayanan, Sadia Afrin Ananna +2
We present a new approach for designing risk-bounded controllers for Uncrewed Aerial Vehicles (UAVs). Existing frameworks for assessing risk of UAV operations rely on knowing the c…