2025 - J. Knorst, C. Olivera, and A. de Souza. Convergence Rate for Moderate Interaction particles and Application to Mean Field Games. Journ. of Math Analysis and Applications Vol. 549, No 2. DOI: 10.1016/j.jmaa.2025.129615
2024 - J. Knorst, C. Olivera, and A. de Souza. Quantitative particle approximation of nonlinear stochastic Fokker-Planck equations with singular kernel. Preprint, arXiv:2412.05950.
2024 - J. Knorst and A. O. Lopes. On the quantum Guerra-Morato Action Functional. Journ. of Math. Physics 65, issue 8. DOI: 10.1063/5.0207422
2024 - J. Knorst, A. O. Lopes, G. Müller, and A. Neumann. Thermodynamic Formalism on the Skorokhod space: the continuous time Ruelle operator, entropy, pressure, entropy production and expansiveness. São Paulo Journal of Mathematical Sciences (online), DOI: 10.1007/s40863-024-00417-8
2023 - J. E. Brasil, J. Knorst and A. O. Lopes. Thermodynamic formalism for continuous-time quantum Markov semigroups: the detailed balance condition, entropy, pressure and equilibrium quantum processes. Open Systems & Information Dynamics., Vol. 30, No. 04. DOI: 10.1142/S123016122350018X
2022 - J. Knorst. Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups. Doctoral Dissertation, UFRGS.
2021 - J. E. Brasil, J. Knorst and A. O. Lopes. Thermodynamic Formalism for Quantum Channels: Entropy, Pressure, Gibbs channels and generic properties. Communications in Contemporary Mathematics 2150090 (41p.) DOI: 10.1142/S0219199721500905.
2021 - J. E. Brasil, J. Knorst and A. O. Lopes. Lyapunov Exponents for Quantum Channels: An Entropy Formula and Generic Properties, Journal of Dynamical Systems and Geometric Theories, 19:2, 155-187. DOI: 10.1080/1726037X.2021.2014635.
2018 - J. Knorst. Semigrupos Dinâmicos Quânticos a tempo contínuo. Masters Dissertation, UFRGS. Available here (Portuguese).