Preprints

A. Blessing (Neamtu) and T. Seitz. Existence and regularity of random attractors for stochastic evolution equations driven by rough noise, 2024. arXiv:2401.14235

A. Blessing (Neamtu) and D. Blömker. Finite-time Lyapunov exponents for SPDEs with fractional noise, 2023. arXiv:2309.12189

Publications

A. Hocquet and A. Neamtu. Quasilinear rough evolution equations. To appear in Annals of Applied Probability. arXiv:2207.04787

X. Lin, A. Neamtu and C. Zeng. Existence of smooth stable manifolds for a class of parabolic SPDEs with fractional noise.  Journal of Functional Analysis, Volume 286, Issue 2, 2024.

A. Neamtu and T. Seitz. Stochastic evolution equations with rough boundary noisePartial Differential Equations and Applications 4, 49. 2023.

A. Blumenthal, M. Engel and A. Neamtu. On the pitchfork bifurcation for the Chafee-Infante equation with additive noiseProbability Theory and Related Fields 187, 603-627, 2023.

D. Blömker and A. Neamtu. Bifurcation theory for SPDEs: finite-time Lyapunov exponents and amplitude equationsSIAM Journal on Applied Dynamical Systems. Vol. 22, Iss. 3, Pages 2150-2179, 2023.

C. Kuehn and A. Neamtu. Center manifolds for rough partial differential equationsElectronic Journal of Probability. Vol. 28, No. 48, Pages 1-31, 2023.

C. Kuehn, K. Lux and A. Neamtu. Warning Signs for Non-Markovian Bifurcations: Color Blindness and Scaling Laws.  Proceedings of the Royal Society A, 478:20210740, 2022.

R. Hesse and A. Neamtu. Global solutions for semilinear rough partial differential equations. Stochastics and Dynamics, Vol 22, No. 02, 2240011, 2022

D. Blömker and A. Neamtu. Amplitude equations for SPDEs driven by fractional additive noise with small Hurst parameter. Stochastics and Dynamics, Vol 22, No. 03, 2240013, 2022

C. Kuehn and A. Neamtu. Rough center manifolds. SIAM Journal on Mathematical Analysis, 53(4), pp. 3912–3957, 2021.

C. Kuehn, A. Neamtu and S. Sonner. Random attractors via pathwise mild solutions for parabolic stochastic evolution equations. Journal of Evolution Equations, 21, pp. 2631–2663, 2021.

G. Dhariwal, F. Huber and A. Neamtu. On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs. Stochastic Analysis and Applications, Vol. 39, No. 5, pp. 898-925, 2021.

G. Dhariwal, F. Huber, A. Juengel, C. Kuehn and A. Neamtu. Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method. Annales de l' Institut Henri Poincare (B), Probabilites et Statistiques,  Vol. 57, No. 1, pp. 577–602, 2021.

C. Kuehn, A. Neamtu and A. Pein. Random Attractors for Stochastic Partly Dissipative Systems.  Nonlinear Differential Equations and Applications NoDEA, Vol. 27, No. 35, 2020. 

K. Eichinger, C. Kuehn and A. Neamtu. Sample paths estimates for fast-slow systems driven by fractional Brownian motion. Journal of Statistical Physics, Vol.179, No. 5, pp. 1222-1266, 2020.

C. Kuehn and A. Neamtu. Pathwise mild solutions for quasilinear stochastic partial differential equations. Journal of Differential Equations, Vol. 269, No. 3, pp. 2185-2227, 2020. 

R. Hesse and A. Neamtu. Global solutions and random dynamical systems for rough evolution equations. Discrete and Continuous Dynamical Systems Series B, Vol. 25, Issue 7, pp. 2723-2748, 2020.

A. Neamtu. Random invariant manifolds for ill-posed stochastic evolution equations. Stochastics and Dynamics, Vol. 20, No. 02, 2050013, 2020.

R. Hesse and A. Neamtu. Local mild solutions for rough stochastic partial differential equations. Journal of Differential Equations, Vol. 267, Issue 11, pp. 6480-6538, 2019. 

K. Lu,  A. Neamtu and B. Schmalfuss. On the Oseledets Splitting for infinite-dimensional random dynamical systems. Discrete and Continuous Dynamical Systems Series - B, Vol. 23, Issue 3, pp. 1219-1242, 2018.

Book Chapter

C. Kuehn and A. Neamtu. Dynamics of Stochastic Reaction-Diffusion Equations. Finite and Infinite Stochastic Equations with Applications in Physics, pp. 1-60, 2020.

https://www.worldscientific.com/doi/abs/10.1142/9789811209796_0001