I. Cîmpean, A. Grecu, L. Marin, A probabilistic approach to spectral analysis of Cauchy-type inverse problems: Convergence and stability analysis, http://arxiv.org/abs/2508.08215 (2025)
I. Cîmpean, T. Do, L. Gonon, A. Jentzen, I. Popescu, Error analysis for the deep Kolmogorov method, submitted (2025)
I. Cîmpean, Y. Nachit, C. A. Tudor, Quartic variation of the solution to the semilinear stochastic heat equation: limit behavior and asymptotic independence with respect to the data, to appear in J. Math. Anal. Appl. (2025)
I. Cîmpean, A. Grecu, L. Marin, Numerical spectral analysis of Cauchy-type inverse problems: A probabilistic approach. https://arxiv.org/abs/2409.03686v2 (2024)
L.Beznea, M. Bezzarga, I. Cîmpean, Continuous flows driving Markov processes and multiplicative L^p-semigroups (2024), arxiv:2411.09407
L.Beznea, I. Cîmpean, M. Röckner, Construction of Hunt processes by the Lyapunov method and applications to generalized Mehler semigroups, to appear in the J. Differ. Equ. 2025 (submitted 2024, arxiv:2410.04861)
L.Beznea, I. Cîmpean, M. Röckner, Path continuity of Markov processes and locality of Kolmogorov operators, to appear in Stoch PDE: Anal Comp (2023). DOI:10.1007/s40072-023-00304-x arXiv:2208.06036
L.Beznea, I. Cîmpean, M. Röckner, Strong Feller semigroups and Markov processes: A counter example, Stoch PDE: Anal Comp (2023). https://doi.org/10.1007/s40072-023-00300-1, SNSIn or arxiv:2211.14789.
M. Bucataru, I. Cîmpean, L. Marin, Stable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficients, ESAIM: Mathematical Modelling and Numerical Analysis, Vol 57, Nr 2, 1029 - 1062 (2023).
L.Beznea, I. Cîmpean, O. Lupascu-Stamate, I. Popescu, A. D. Zarnescu, From Monte Carlo to neural networks approximations of boundary value problems, submitted (2022). arxiv:2209.01432
M. Bucataru, I. Cîmpean, L. Marin, A Gradient-Based Regularization Algorithm for the Cauchy Problem in Steady-State Anisotropic Heat Conduction, Computers and Mathematics with Applications, Vol. 119, 220-240 (2022)
I. Cîmpean, A. Grecu, The nonlinear Schrödinger equation with white noise dispersion on quantum graphs, Commun. Math. Sci. (2020). arXiv:1905.11708v2
L.Beznea, I. Cîmpean, M. Röckner, A natural extension of Markov processes and applications to singular SDEs, Ann. Inst. H. Poincare Probab. Statist. Vol.56, No. 4, 2480-2506 (2020). arXiv:1904.01607v3
L.Beznea, I. Cîmpean, M. Röckner, A new approach to the existence of invariant measures for Markovian semigroups, Ann. Inst. H. Poincare Probab. Statist., Volume 55, Number 2, 977-1000 (2019). arXiv:1508.06863v3
L.Beznea, I. Cîmpean, Quasimartingales associated to Markov processes, Trans. Amer. Math. Soc., 370, 7761-7787 (2018). arXiv:1702.06282
L.Beznea, I. Cîmpean, M. Röckner, Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents, Stoch. Process. Appl., 128, 1405-1437 (2018). arXiv:1409.6492v2
L.Beznea, I. Cîmpean, Invariant, super and quasi-martingale functions of a Markov process, In: Stochastic Partial Differential Equations and Related Fields (Springer Proceedings in Mathematics & Statistics 229), Springer, 421-434 (2018). arXiv:1709.01864
L.Beznea, I. Cîmpean, On Bochner-Kolmogorov theorem, In: Seminaire de Probabilites XLVI (Lecture Notes in Mathematics, Vol. 2123), Springer, 61-70 (2014).
I. Cîmpean, A remark on the proof of Cobzas-Mustata theorem concerning norm preserving extension of convex Lipschitz functions, Studia Universitatis Babes-Bolyai Mathematica, Volume 57, Number 3, 325-329 (2012).