3 papers
math.PR2026
Local Density of Activated Random Walk on
Christopher Hoffman, Jacob Richey, Hyojeong Son
We consider one-dimensional activated random walk (ARW) on started from a `point source' initial condition, with many particles at the origin and no other particles. W…
quant-ph2024
Scalable Quantum-Inspired Optimization through Dynamic Qubit Compression
Co Tran, Quoc-Bao Tran, Hy Truong Son +1
Hard combinatorial optimization problems, often mapped to Ising models, promise potential solutions with quantum advantage but are constrained by limited qubit counts in near-term…
math.PR2024
Activated Random Walks on with Critical Particle Density
Madeline Brown, Christopher Hoffman, Hyojeong Son
The Activated Random Walk (ARW) model is a promising candidate for demonstrating self-organized criticality due to its potential for universality. Recent studies have shown that th…