6 citations · 10 across the 10 of their papers we have counts for
10 papers
Fermat functional equations over Riemann surfaces
Xianjing Dong, Liangwen Liao, Kai Liu
We investigate the existence of non-trivial holomorphic and meromorphic solutions of Fermat functional equations over an open Riemann surface . When is hyperbolic, we prove…
On Regularity of Stochastic Convolutions of Functional Linear Differential Equations with Memory
Kai Liu
In this work, we consider the regularity property of stochastic convolutions for a class of abstract linear stochastic retarded functional differential equations with unbounded ope…
Stationary Distributions of Second Order Stochastic Evolution Equations with Memory in Hilbert Spaces
Kai Liu
In this paper, we consider stationarity of a class of second-order stochastic evolution equations with memory, driven by Wiener processes or Levy jump processes, in Hilbert spaces.…
Stationary Solutions of Neutral Stochastic Partial Differential Equations with Delays in the Highest-Order Derivatives
Kai Liu
In this work, we shall consider the existence and uniqueness of stationary solutions to stochastic partial functional differential equations with additive noise in which a neutral…
Tropical variants of some complex analysis results
Kai Liu, Ilpo Laine, Kazuya Tohge
Tropical Nevanlinna theory studies value distribution of continuous piecewise linear functions of a real variable. In this paper, we use the reasoning from tropical Nevanlinna theo…
An M-Estimator for Reduced-Rank High-Dimensional Linear Dynamical System Identification
Shaojie Chen, Kai Liu, Yuguang Yang +5
High-dimensional time-series data are becoming increasingly abundant across a wide variety of domains, spanning economics, neuroscience, particle physics, and cosmology. Fitting st…