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4 papers · 1 filter
The Structure of the Route to the Period-three Orbit in the Collatz Map
Weicheng Fu, Yisen Wang
This study analyzes the Collatz map through nonlinear dynamics. By embedding integers in Sharkovsky's ordering, we show that odd initial values suffice for full dynamical character…
Cavity-Heisenberg spin- chain quantum battery and reinforcement learning optimization
Peng-Yu Sun, Hang Zhou, Fu-Quan Dou
Machine learning offers a promising methodology to tackle complex challenges in quantum physics. In the realm of quantum batteries (QBs), model construction and performance optimiz…
Construction of various time-dependent Hamiltonians on a single photonic chip
Rui Ye, Guangzhen Li, Shuai Wan +12
Integrated photonics provides an important platform for simulating physical models with high-performance chip-scale devices, where the lattice size and the time-dependence of a mod…
Homological theory of representations having pure acyclic injective resolutions
Gang Yang, Qihui Li, Junpeng Wang
Let be a quiver and an associative ring. A representation by -modules of is called strongly fp-injective if it admits a pure acyclic injective resolution in the cate…