Preprints
Wiuf, C. and Xu, C. (2023): Stationary measures of continuous time Markov chains with applications to stochastic reaction networks, Preprint, arXiv:2312.06186. pp.44.
Kuehn, C. and Xu, C. (2022): Vlasov equations on directed hypergraph measures, Preprint, arXiv:2207.03806. pp. 43.
Gkogkas, M.A., Kuehn, C., and Xu, C. (2022): Mean field limits of coevolutionary heterogeneous networks, Preprint, arXiv:2202.01742. pp. 51.
Gkogkas, M.A., Kuehn, C., and Xu, C. (2021): Continuum limits for adaptive network dynamics, Preprint, arXiv:2109.05898. pp. 22.
Wiuf, C. and Xu, C. (2021): Fiber decomposition of deterministic reaction networks with applications, Preprint, arXiv:2107.09706. pp. 14.
Wiuf, C. and Xu, C. (2020): Classification and threshold dynamics of stochastic reaction networks, arXiv:2012.07954. pp. 17.
Peer review publications
Xu, C., Hansen, M.C., and Wiuf, C. (2020): The asymptotic tails of limit distributions of continuous time Markov chains, Advances in Applied Probability. 2023:1-42. doi:10.1017/apr.2023.42
Xu, C., Hansen, M.C., and Wiuf, C. (2020): Full classification of dynamics for one dimensional continuous time Markov chains with polynomial transition rates, Advances in Applied Probability. 2023;55(1):321-355.
Kuehn, C. and Xu, C., Vlasov equations on digraph measures. Journal of Differential Equations, 339 (2022), 261-349.
Xu, C., Hansen, M.C., and Wiuf, C., Structural classification of continuous time Markov chains with applications. Stochastics: An International Journal of Probability and Stochastic Processes, 94 (2022), 1003-1030.
Berger, A. and Xu, C., Asymptotics of one-dimensional Lévy approximations. Journal of Theoretical Probability, 33 (2020), 1164–1195.
Xu, C. and Berger, A. . Best finite constrained approximations of one-dimensional probabilities. Journal of Approximation Theory, 244 (2020), 1–36.
Berger, A. and Xu, C., Best finite approximations of Benford’s law. Journal of Theoretical Probability, 32 (2019), 1525–1553.
Xu, C., The distributional asymptotics mod 1 of $(log_bn)$. Uniform Distribution Theory, 14 (2019), 105–122.
Xu, C., Circularly uniformizable invariant probability measures for linear transformations. Journal of Mathematical Analysis and Applications, 455 (2017), 778–791.
Xu, C., Threshold dynamics of a stochastic Keizer’s model with stochastic incidence. Journal of Mathematical Chemistry, 55 (2017), 1034–1045.
Xu, C., Global threshold dynamics of a stochastic differential equation SIS model. Journal of Mathematical Analysis and Applications, 447 (2017), 736–757.
Xu, C., Strong Allee effect in a stochastic logistic model with mate limitation and stochastic immigration. Discrete and Continuous Dynamical System-B, 21 (2016), 2321–2336.
Xu, C. and Wei, J., On stability of two degenerate reaction-diffusion systems. Journal of Mathematical Analysis and Applications, 390 (2012), 126–135.
Xu, C. and Wei, J., Hopf bifurcation analysis in a one-dimensional Schnakenberg reaction-diffusion model. Nonlinear Analysis: Real World Applications, 13 (2012), 1961–1977.
Xu, R. and Xu, C., Sharp conditions of global existence for second-order derivative nonlinear Schrödinger equations with combined power-type nonlinearities. Zeitschrift für Angewandte Mathematik und Mechanik, 93 (2013), 29–37.
Xu, R. and Xu, C., Cross-constrained problems for nonlinear Schrödinger equation with harmonic potential. Electronic Journal of Differential Equations, 2012 (2012), 1–12.
Xu, C., On the idempotency, involution and nilpotency of a linear combination of two matrices. Linear and Multilinear Algebra, 63 (2015), 1664–1677.
Xu, C. and Xu, R., Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute. Linear Algebra and its Applications, 437 (2012), 2091–2109.
Unpublished note
Wiuf, C. and Xu, C. (2023): Stationary measures of continuous time Markov chains with applications to stochastic reaction networks, Preprint, arXiv:2312.07590. pp.3