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37 papers
King Chasing Problem in Chinese Chess is NP-hard
Chao Li, Zhujun Zhang, Chao Yang
We prove that king chasing problem in Chinese Chess is NP-hard when generalized to boards. `King chasing' is a frequently-used strategy in Chinese Chess, which means th…
Identification Verification for Structural Vector Autoregressions with Sparse Heterogeneous Markov Switching Heteroskedasticity
Fei Shang, Tomasz Woźniak
We propose a structural vector autoregressive model with a new and flexible specification of the volatility process which we call Sparse Heterogeneous Markov-Switching Heteroskedas…
LLM-Enhanced Multi-Agent Reinforcement Learning with Expert Workflow for Real-Time P2P Energy Trading
Chengwei Lou, Zekai Jin, Wei Tang +3
Real-time peer-to-peer (P2P) electricity markets dynamically adapt to fluctuations in renewable energy and variations in demand, maximizing economic benefits through instantaneous…
Translational Aperiodic Sets of 7 Polyominoes
Chao Yang, Zhujun Zhang
Recently, two extraordinary results on aperiodic monotiles have been obtained in two different settings. One is a family of aperiodic monotiles in the plane discovered by Smith, My…
Undecidability of Translational Tiling of the 4-dimensional Space with a Set of 4 Polyhypercubes
Chao Yang, Zhujun Zhang
Recently, Greenfeld and Tao disprove the conjecture that translational tilings of a single tile can always be periodic [Ann. Math. 200(2024), 301-363]. In another paper [to appear…
Undecidability of tiling the plane with a fixed number of Wang bars
Chao Yang, Zhujun Zhang
To study the fixed parameter undecidability of tiling problem for a set of Wang tiles, Jeandel and Rolin show that the tiling problem for a set of 44 Wang bars is undecidable. In t…