5 papers · 1 filter
LAGO: Language Agents with Reusable Growing Options
Yuran Wu, Mengkang Hu, Qionglin Qiu +5
Long-horizon tasks expose a weakness of monolithic tool-use loops: one agent must decompose, execute, and verify a task within a single trajectory. We introduce LAGO, which treats…
Endpoint Mapping Properties of Wave Operators for Schrödinger Operators in Dimensions
Han Cheng, Changxing Miao, Xiaohua Yao
We study endpoint mapping properties of low-energy wave operators for Schrödinger operators on , . In dimension four, we prove that a zero-energy reson…
Endpoint Mapping Properties of Wave Operators for Two-Dimensional Schrödinger Operators
Han Cheng, Changxing Miao, Xiaohua Yao
We establish sharp endpoint mapping properties for the wave operators of two-dimensional Schrödinger operators with real-valued decaying potentials . Toge…
Time-Decay Estimates for Two-Dimensional Fourth-Order Schrödinger Operators with Threshold Singularities
Zijun Wan, Xiaohua Yao
We establish time-decay estimates for the two-dimensional fourth-order Schrödinger operator with a real-valued decaying potential , covering all possible zero-energy t…
Decay estimates for the two-dimensional Beam equation with potentials
Shuangshuang Chen, Han Cheng, Zijun Wan +1
This paper establishes time decay estimates for the following two-dimensional beam (plate) equation with a decaying real-valued potential : \begin{equation*} \partial_t^2 u + (Δ…