13 citations · 49 across the 26 of their papers we have counts for
26 papers
Witten-type topological field theory of self-organized criticality for stochastic neural networks
Jian Zhai, Chaojun Yu, You Zhai
We study the Witten-type topological field theory(W-TFT) of self-organized criticality(SOC) for stochastic neural networks. The Parisi-Sourlas-Wu quantization of general stochastic…
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds
Peter Hintz, Gunther Uhlmann, Jian Zhai
We consider the semilinear wave equation , , on a Lorentzian manifold with timelike boundary. We show that from the knowledge of the Dirichlet-to…
Notes on tensor tomography on Riemannian manifolds with boundaries
Jian Zhai
We summarize the proofs for the s-injectivity of the tensor tomography problem on compact Riemannian manifolds with boundaries in [Dairbekov, Inverse Problems, 22: 431, 2006] and […
An inverse spectral problem for a damped wave operator
Gang Bao, Xiang Xu, Jian Zhai
This paper proposes a new and efficient numerical algorithm for recovering the damping coefficient from the spectrum of a damped wave operator, which is a classical Borg-Levinson i…
Lipschitz stability for an inverse source scattering problem at a fixed frequency
Peijun Li, Jian Zhai, Yue Zhao
This paper is concerned with an inverse source problem for the three-dimensional Helmholtz equation by a single boundary measurement at a fixed frequency. We show the Lipschitz sta…
An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds
Peter Hintz, Gunther Uhlmann, Jian Zhai
We consider an inverse boundary value problem for a semilinear wave equation on a time-dependent Lorentzian manifold with time-like boundary. The time-dependent coefficients of the…