193 citations
- Claremont McKenna CollegeUS10 papers
- Pitzer CollegeUS8 papers
- Princeton UniversityUS3 papers
- University of ConnecticutUS3 papers
- Wentworth Institute of TechnologyUS3 papers
- Arizona State UniversityUS2 papers
- California Institute of TechnologyUS2 papers
- Cornell UniversityUS2 papers
- Fudan UniversityCN2 papers
- Jet Propulsion LaboratoryUS2 papers
- Massachusetts Institute of TechnologyUS2 papers
- Naval Postgraduate SchoolUS2 papers
20 papers
Generalizing Shell Theorem to Constant Curvature Spaces in All Dimensions and Topologies
Ava K. Tse, Olivia M. Markowich, Trung V. Phan
A gravitational potential has the spherical property when the field outside any uniform spherical shell is indistinguishable from that of a point mass at the center. We present the…
Digitization Can Stall Swarm Transport: Commensurability Locking in Quantized-Sensing Chains
Caroline N. Cappetto, Penelope Messinger, Kaitlyn S. Yasumura +7
We present a minimal model for autonomous robotic swarms in one- and higher-dimensional spaces, where identical, field-driven agents interact pairwise to self-organize spacing and…
Fractatomic Physics: An Invitation with Atomic Stability and Rydberg States in Fractal Spaces
Nhat A. Nghiem, Trung V. Phan
We explore the physical quantum properties of atoms in fractal spaces, both as a theoretical generalization of normal integer-dimensional Euclidean spaces and as an experimentally…
On the Derivation of the Cosmological Gurzadyan's Theorem
Trung V. Phan
In cosmology, the Gurzadyan's theorem identifies the most general force law consistent with the finding of Newton's first shell theorem -- that a spherical symmetric mass exerts th…
New analytic formulae for memory and prediction functions in reservoir computers with time delays
Peyton Mullarkey, Sarah Marzen
Time delays increase the effective dimensionality of reservoirs, thus suggesting that time delays in reservoirs can enhance their performance, particularly their memory and predict…
Informational Memory Shapes Collective Behavior in Intelligent Swarms
Shengkai Li, Trung V. Phan, Luca Di Carlo +5
We present an experimental and theoretical study of 2-D swarms in which collective behavior emerges from both direct local mechanical coupling between agents and from the exchange…