Xin Chen

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20242026

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3 papers · 1 filter

math.AP2024

Quantitative periodic homogenization for symmetric non-local stable-like operators

Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1

Homogenization for non-local operators in periodic environments has been studied intensively. So far, these works are mainly devoted to the qualitative results, that is, to determi…

math.PR2024

Quenched local limit theorem for random conductance models with long-range jumps

Xin Chen, Takashi Kumagai, Jian Wang

We establish the quenched local limit theorem for reversible random walk on $Z^{d}$ (with $d \geq 2$ ) among stationary ergodic random conductances that permit jumps of arbitrary lengt…

math.AP2024

Sharp two-sided heat kernel estimates for Schrödinger operators with decaying potentials

Xin Chen, Jian Wang

We establish global two-sided heat kernel estimates (for full time and space) of the Schrödinger operator $- \frac{1}{2} Δ + V$ on $R^{d}$ , where the potential $V (x)$ is locally bounded…