4 papers
Consistency of variational inference for Besov priors in non-linear inverse problems
Shaokang Zu, Junxiong Jia, Zhiguo Wang
This study investigates the variational posterior convergence rates of inverse problems for partial differential equations (PDEs) with parameters in Besov spaces ($p \ge…
Quantitative Reducibility of Quasi-Periodic Cocycles
Ao Cai, Huihui Lv, Zhiguo Wang
This paper establishes an extreme reducibility theorem of quasi-periodic cocycles in the local perturbative region, revealing both the essence of Eliasson…
Reducibility of quantum harmonic oscillator on with differential and quasi-periodic in time potential
Zhenguo Liang, Zhiguo Wang
We improve the results by Grébert and Paturel in \cite{GP} and prove that a linear Schrödinger equation on with harmonic potential and small -quasiperiodic potenti…
1d Quantum Harmonic Oscillator Perturbed by a Potential with Logarithmic Decay
Zhiguo Wang, Zhenguo Liang
In this paper we prove an infinite dimensional KAM theorem, in which the assumptions on the derivatives of perturbation in \cite{GT} are weakened from polynomial decay to logarithm…