UNSW Canberra

BRiDGENav: Belief-Driven Risk-Aware Dynamic Guidance and Event-Triggered Navigation

Human–robot interaction (HRI) and navigation in crowded indoor spaces require robots to reason not only about where humans may be but also about whether uncertain human motion conflicts with the robot’s intended path. Existing context-aware particle filtering (CA-PF) provides a u...

Zeros of L-functions and large partial sums of Dirichlet coefficients

Abstract Let $$L(s,\pi )=\sum _{n=1}^{\infty }\lambda _{\pi }(n)n^{-s}$$ L ( s , π ) = ∑ n = 1 ∞ λ π ( n ) n - s be an L -function that satisfies a weak form of the generalized Ramanujan conjecture. We prove that large partial sums of $$\lambda _{\pi }(n)$$ λ π ( n ) strongly rep...

A round of Pintz to celebrate oscillations in sums

Abstract We explore a method, going back to Landau and developed by Pintz, for connecting sums of arithmetic functions with zero-free regions for $$L$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>L</mml:mi> </mml:math> -functions. In particular, we make expl...