Publications by the Institute of Mathematics

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Gómez, D., Göttlich, S., Ríos-Alborés, A. and Salgado, P. (2026). Relax-and-round strategies for solving the unit commitment problem with AC power flow constraints. Optimization and Engineering, 1–34.
Göttlich, S., Oppeneiger, B., Schaller, M. and Worthmann, K. (2026). Spatial exponential decay of perturbations in optimal control of general evolution equations. Control, Optimisation and Calculus of Variations : COCV, 32, 1–54.
Koß, M., Weissmann, S. and Zech, J. (2026). On the mean-field limit of consensus-based methods. Mathematical Methods in the Applied Sciences : MMAS, 49, 4214-4240.
Li, K., Wang, J. and Chen, L. (2026). Best initial criterion for a degenerate Keller–Segel system with rotational flux terms in even-dimensional spaces. Documenta Mathematica, 1–24.
Schlather, M. and Stehlík, M. (2026). Martin Schlather and Milan Stehlík’s contribution to the discussion of ‘Statistical exploration of the manifold hypothesis’ by N. Whiteley et al.. Journal of the Royal Statistical Society. Series B, Statistical Methodolgy, 88, 423–424.
Schlather, M. and Stehlík, M. (2026). Milan Stehlík and Martin Schlather’s contribution to the discussion of ‘Statistical exploration of the manifold hypothesis’ by Whiteley et al.. Journal of the Royal Statistical Society. Series B, Statistical Methodolgy, 88, 425–426.
Staudigl, M., Weissmann, S. and van Leeuven, T. (2026). Derivative-free stochastic bilevel optimization for inverse problems. Computational Optimization and Applications, 93, 967-1020.
Böhme, T., Göttlich, S. and Neuenkirch, A. (2025). A nonlocal traffic flow model with stochastic velocity. Mathematical Modelling and Numerical Analysis = Modélisation Mathématique et Analyse Numérique, 59, 487–518.
Chen, L., Göttlich, S. and Zamponi, N. (2025). Connection between a degenerate particle flow model and a free boundary problem. Communications in Mathematical Sciences : CMS, 23, 109–142.
Festa, A., Göttlich, S. and Ricciardi, M. (2025). Forward-forward mean field games in mathematical modeling with application to opinion formation and voting models. Dynamic Games and Applications : DGA, 15, 664–692.
Göttlich, S., Heieck, J. and Neuenkirch, A. (2025). Using low-discrepancy points for data compression in machine learning: an experimental comparison. Journal of Mathematics in Industry, 15, 1–25.
Göttlich, S., Herty, M. and Ulke, A. (2025). Speed limits in traffic emission models using multi-objective optimization. Optimization and Engineering, 26, 199–227.
Göttlich, S., Schaller, M. and Worthmann, K. (2025). Perturbations in PDE-constrained optimal control decay exponentially in space. Control, Optimisation and Calculus of Variations : COCV, 31, 1–29.
Göttlich, S. and Schillinger, T. (2025). Data-inspired modeling of accidents in traffic flow networks. SMAI Journal of Computational Mathematics : SMAI-JCM, 11, 261–287.
Göttlich, S., Schillinger, T. and Tosin, A. (2025). Probabilistic modeling of car traffic accidents. SIAM Journal on Applied Mathematics, 85, 1099-1120.
Knopf, M., Peña Hoepner, R. and Schmidt, M. U. (2025). Solutions of the Sinh-Gordon Equation of Spectral Genus Two and Constrained Willmore Tori I. The Journal of Geometric Analysis, 35, 1–28.
Kwossek, A. P., Neuenkirch, A. and Prömel, D. J. (2025). Functional differential equations driven by càdlàg rough paths. Electronic Journal of Probability : EJP, 30, 1–32.
Liu, R., Neuenkirch, A. and Wang, X. (2025). A strong order 1.5 boundary preserving discretization scheme for scalar SDEs defined in a domain. Mathematics of Computation, 94, 1815-1862.
Mickel, A. and Neuenkirch, A. (2025). On the convergence order of the Euler scheme for scalar SDEs with Hölder-type diffusion coefficients. Journal of Mathematical Analysis and Applications, 542, 1–25.
Pitters, H. (2025). Lévy’s second arcsine law via the ballot theorem. The American Mathematical Monthly, 132, 1048-1052.
Schlather, A. and Schlather, M. (2025). Depicting falsifiability in algebraic modelling. J : Multidisciplinary Scientific Journal, 8, 1–23.
Sprungk, B., Weissmann, S. and Zech, J. (2025). Metropolis-adjusted interacting particle sampling. Statistics and Computing : SC, 35, 1–31.
Ulke, A., Schuster, M. and Göttlich, S. (2025). Steady state blended gas flow on networks: Existence and uniqueness of solutions. Networks and Heterogeneous Media : NHM, 20, 903–937.
Baguley, S. P., Döring, L. and Kyprianou, A. E. (2024). General path integrals and stable SDEs. Journal of the European Mathematical Society : JEMS, 26, 3243-3286.
Brehmer, J. R., Gneiting, T., Herrmann, M., Marzocchi, W., Schlather, M. and Strokorb, K. (2024). Comparative evaluation of point process forecasts. Annals of the Institute of Statistical Mathematics : AISM, 76, 47–71.
Chen, L., Nikolaev, P. and Prömel, D. J. (2024). Well-posedness of diffusion–aggregation equations with bounded kernels and their mean-field approximations. Mathematical Methods in the Applied Sciences : MMAS, 47, 9222-9248.
Chiarello, F. A., Friedrich, J. and Göttlich, S. (2024). A non-local traffic flow model for 1-to-1 junctions with buffer. Networks and Heterogeneous Media : NHM, 19, 405–429.
Chiarello, F. A., Göttlich, S., Schillinger, T. and Tosin, A. (2024). Hydrodynamic traffic flow models including random accidents: A kinetic derivation. Communications in Mathematical Sciences : CMS, 22, 845–870.
Döring, L., Savov, M., Trottner, L. and Watson, A. R. (2024). The uniqueness of the Wiener–Hopf factorisation of Lévy processes and random walks. The Bulletin of the London Mathematical Society, 56, 2951-2968.
Döring, L., Trottner, L. and Watson, A. R. (2024). Markov additive friendships. Transactions of the American Mathematical Society, 377, 7699-7752.
Friedrich, J., Göttlich, S., Keimer, A. and Pflug, L. (2024). Conservation laws with nonlocal velocity: the singular limit problem. SIAM Journal on Applied Mathematics, 84, 497–522.
Göttlich, S., Mehlitz, P. and Schillinger, T. (2024). Inverse demand tracking in transportation networks. Mathematical Methods of Operations Research, 100, 635–668.
Parczewski, P. (2024). Optimal pointwise approximation of anticipating SDEs. Discrete and Continuous Dynamical Systems : DCDS. Series B, 29, 1730-1743.
Schlather, M. and Ditscheid, C. (2024). An intrinsic Characterization of Shannon’s and Rényi’s entropy. Entropy, 26, 1–17.
Trottner, L., Aeckerle-Willems, C. and Strauch, C. (2024). Concentration analysis of multivariate elliptic diffusions. Journal of Machine Learning Research : JMLR, 24, 4815-4852.
Weissmann, S., Klein, S., Azizian, W. and Döring, L. (2024). Almost sure convergence of stochastic gradient methods under gradient domination. Transactions on Machine Learning Research : TMLR, 2024, 1–40.
Döring, L. and Trottner, L. (2023). Stability of overshoots of Markov additive processes. The Annals of Applied Probability, 33, 5413-5458.
Dörr, C. and Schlather, M. (2023). Characterization theorems for pseudo cross-variograms. Journal of Applied Probability, 60, 1219-1231.
Dörr, C. and Schlather, M. (2023). Covariance models for multivariate random fields resulting from pseudo cross-variograms. Journal of Multivariate Analysis : JMVA, 197, 1–13.
Fokken, E., Göttlich, S. and Herty, M. (2023). Efficient simulation of coupled gas and power networks under uncertain demands. European Journal of Applied Mathematics, 34, 505–531.
Freudenberg, A., Schlather, M., Vandenplas, J. and Pook, T. (2023). Accelerating single-step evaluations through GPU offloading. Interbull Bulletin, 59, 23–32.
Freudenberg, A., Vandenplas, J., Schlather, M., Pook, T., Evans, R. and Napel, J. . (2023). Accelerated matrix-vector multiplications for matrices involving genotype covariates with applications in genomic prediction. Frontiers in Genetics, 14, 1–9.
Friedrich, J., Göttlich, S. and Herty, M. (2023). Lyapunov stabilization for nonlocal traffic flow models. SIAM Journal on Control and Optimization, 61, 2849-2875.
Friedrich, J., Göttlich, S. and Uphoff, A. (2023). Conservation laws with discontinuous flux function on networks: a splitting algorithm. Networks and Heterogeneous Media : NHM, 18, 1–28.
Gesang, B. (2023). Klimaschutz neu geträumt : Was der Staat und der Einzelne tun können, um effizient zu sein – Essay. Aus Politik und Zeitgeschichte : APuZ, 73, 40–46.
Küster, S., Haverkamp, L., Schlather, M. and Traulsen, I. (2023). An approach towards a practicable assessment of neonatal piglet body core temperature using automatic object detection based on thermal images. Agriculture, 13, 1–17.
Li, Y., Schlather, M. and Erdfelder, E. (2023). A queueing model of visual search. Journal of Mathematical Psychology, 115, 1–22.
Luo, D., Wang, Q. and Chen, L. (2023). Nonconstant steady states and pattern formations of generalized 1D cross-diffusion systems with prey-taxis. Studies in Applied Mathematics, 150, 899–958.
Mickel, A. and Neuenkirch, A. (2023). Sharp L1-approximation of the log-Heston stochastic differential equation by Euler-type methods. The Journal of Computational Finance, 26, 67–100.
Mickel, A. and Neuenkirch, A. (2023). The weak convergence order of two Euler-type discretization schemes for the log-Heston model. IMA Journal of Numerical Analysis : IMAJNA, 43, 3326-3356.
Moreva, O. and Schlather, M. (2023). Bivariate covariance functions of Pólya type. Journal of Multivariate Analysis : JMVA, 194, 1–15.
Weißen, J., Göttlich, S. and Totzeck, C. (2023). Space mapping-based optimization with the macroscopic limit of interacting particle systems. Optimization and Engineering, 24, 395–424.
Camacho, C., Movasati, H. and Hertling, C. (2022). Algebraic curves and foliations : with an appendix by Claus Hertling. The Bulletin of the London Mathematical Society, 55, 410–427.
Chen, L., Lee, J. and Liew, M. (2022). Convergence towards the Vlasov–Poisson equation from the N-Fermionic Schrödinger equation. Annales Henri Poincaré, 23, 555–593.
Friedrich, J., Göttlich, S. and Osztfalk, M. (2022). Network models for nonlocal traffic flow. Mathematical Modelling and Numerical Analysis = Modélisation Mathématique et Analyse Numérique, 56, 213–235.
Göttlich, S. and Schillinger, T. (2022). Control strategies for transport networks under demand uncertainty. Advances in Computational Mathematics : AICM, 48, 1–33.
Göttlich, S. and Totzeck, C. (2022). Parameter calibration with stochastic gradient descent for interacting particle systems driven by neural networks. Mathematics of Control, Signals, and Systems : MCSS, 34, 185–214.
Hertling, C. and Mase, M. (2022). The combinatorics of weight systems and characteristic polynomials of isolated quasihomogeneous singularities. Journal of Algebraic Combinatorics, 56, 929–954.
Hertling, C. and Mase, M. (2022). The integral monodromy of isolated quasihomogeneous singularities. Algebra & Number Theory, 16, 955-1024.
Klingert, S. and Lee, J.-W. (2022). Using real mobility patterns to assess the impact of 100% electrified mobility in a German city. Energy Informatics, 5, 1–24.
Mase, M. (2022). Lattice duality for coupling pairs admitting polytope duality with trivial toric contribution. Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry, 63, 533–559.
Samara, A., Rempe, F. and Göttlich, S. (2022). A novel approach for vehicle travel time distribution: copula-based dependent discrete convolution. Transportation Letters, 14, 740–751.
Weissen, J., Kolb, O. and Göttlich, S. (2022). A combined first and second order model for a junction with ramp buffer. SMAI Journal of Computational Mathematics : SMAI-JCM, 8, 349–374.
Würth, A., Binois, M., Goatin, P. and Göttlich, S. (2022). Data-driven uncertainty quantification in macroscopic traffic flow models. Advances in Computational Mathematics : AICM, 48, 1–26.
Balzotti, C. and Göttlich, S. (2021). A two-dimensional multi-class traffic flow model. Networks and Heterogeneous Media : NHM, 16, 69–90.
Basalaev, A. and Hertling, C. (2021). 3-dimensional F-manifolds. Letters in Mathematical Physics : LMP, 111, 1–50.
Chen, L., Ifenthaler, D. and Yau, J. Y.-K. (2021). Online and blended entrepreneurship education: A systematic review of applied educational technologies. Entrepreneurship education, 4, 191–232.
Chen, L., Lee, J. and Liew, M. (2021). Combined mean-field and semiclassical limits of large fermionic systems. Journal of Statistical Physics, 182, 1–41.
Döring, L., Gonon, L., Prömel, D. J. and Reichmann, O. (2021). Existence and uniqueness results for time-inhomogeneous time-change equations and Fokker-Planck equations. Journal of Theoretical Probability, 34, 173–205.
Friedrich, J., Göttlich, S. and Rossi, E. (2021). Nonlocal approaches for multilane traffic models. Communications in Mathematical Sciences : CMS, 19, 2291-2317.
Göttlich, S., Hante, F. M., Potschka, A. and Schewe, L. (2021). Penalty alternating direction methods for mixed-integer optimal control with combinatorial constraints. Mathematical Programming : Series B, 188, 599–619.
Göttlich, S., Herty, M., Moutari, S. and Weißen, J. (2021). Second-order traffic flow models on networks. SIAM Journal on Applied Mathematics, 81, 258–281.
Göttlich, S., Herty, M. and Weldegiyorgis, G. (2021). Input-to-state stability of a scalar conservation law with nonlocal velocity. Axioms, 10, 1–20.
Göttlich, S., Iacomini, E. and Jung, T. (2021). Properties of the LWR model with time delay. Networks and Heterogeneous Media : NHM, 16, 31–47.
Göttlich, S., Kolb, O. and Lux, K. (2021). Chance‐constrained optimal inflow control in hyperbolic supply systems with uncertain demand. Optimal Control, Applications & Methods, 42, 566–589.
Göttlich, S. and Schillinger, T. (2021). Microscopic and macroscopic traffic flow models including random accidents. Communications in Mathematical Sciences : CMS, 19, 1579-1609.
Hertling, C. (2021). Rank 2 bundles with meromorphic connections with poles of Poincaré rank 1 :. Symmetry, Integrability and Geometry: Methods and Applications : SIGMA, 17, 1–73.
Mickel, A. and Neuenkirch, A. (2021). The weak convergence rate of two semi-exact discretization schemes for the Heston model. Risks : Open Access Journal, 9, Article 23.
Neuenkirch, A. and Szölgyenyi, M. (2021). The Euler-Maruyama scheme for SDEs with irregular drift: convergence rates via reduction to a quadrature problem. IMA Journal of Numerical Analysis : IMAJNA, 41, 1164-1196.
Pook, T., Reimer, C., Freudenberg, A., Büttgen, L., Geibel, J., Ganesan, A., Ha, N.-T., Schlather, M., Mikkelsen, L. F. and Simianer, H. (2021). The Modular Breeding Program Simulator (MoBPS) allows efficient simulation of complex breeding programs. Animal Production Science, 61, 1982-1989.
Weißen, J., Göttlich, S. and Armbruster, D. (2021). Density dependent diffusion models for the interaction of particle ensembles with boundaries. Kinetic and Related Models, 14, 681–704.

Benning, F. and Döring, L. (2025). Random function descent. In , Advances in Neural Information Processing Systems 37 (NeurIPS 2024) (S. 111248-111298). , Neural Information Processing Systems Foundation, Inc. (NeurIPS): .
Friedrich, J., Göttlich, S., Keimer, A. and Pflug, L. (2024). Conservation laws with nonlocality in density and velocity and their applicability in traffic flow modelling. In , Hyperbolic problems : theora, numerics, applications : volume II : HYP2022, Málaga, Spain, June 20–24, 2022 (S. 347–357). SEMA SIMAI Springer Series, Springer: Cham ; Heidelberg [u. a.] , Berlin [u. a.].
Klein, S., Weissmann, S. and Döring, L. (2024). Beyond stationarity: Convergence analysis of stochastic softmax policy gradient methods. In , The Twelfth International Conference on Learning Representations : ICLR 2024, Vienna, Austria, May 07 2024 (S. 1–54). , OpenReview.net: .
Mickel, A. and Neuenkirch, A. (2024). The order barrier for the L1-approximation of the log-Heston SDE at a single point. In , Monte Carlo and Quasi-Monte Carlo Methods : MCQMC 2022, Linz, Austria, July 17–22 (S. 489–506). Springer Proceedings in Mathematics & Statistics, Springer: Cham.
Schlather, M., Freudenberg, A., Moerkotte, G., Pook, T. and Vandenplas, J. (2023). Software project “miraculix”: Efficient computations with large genomic datasets. In , Proceedings of the 2023 Interbull Meeting, Lyon, France, 26–27 August 2023 (S. 15–22). Interbull Bulletin, Swedish University of Agricultural Sciences (SLU): Uppsala.
Hertling, C. and Mase, M. (2022). The integral monodromy of the cycle type singularities. In , 16th International Workshop on Real and Complex Singularities – celebrating 30 years : ICMS, University of São Paulo, São Carlos, Brazil, November 23–30, 2020, proceedings (S. 268–298). Journal of Singularities, Worldwide Center of Mathematics: Cambridge, Mass..
Totzeck, C. and Göttlich, S. (2022). Parameter calibration with consensus-based optimization for interaction dynamics driven by neural networks. In , Progress in Industrial Mathematics at ECMI 2021 : 21st ECMI Conference, Wuppertal, Germany, April 13–15, selected and revised papers (S. 17–22). Mathematics in Industry, Springer: Berlin [u. a.].
Göttlich, S., Müller, J. and Weissen, J. (2021). GPU‐accelerated simulation of a non‐local conservation law. In , 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) : March 15–19, 2021, Kassel, Germany (S. 1–2). Proceedings in Applied Mathematics and Mechanics : PAMM, Wiley-VCH: Weinheim [u. a.].

Göttlich, S., Herty, M. and Milde, A. (eds.) (2021). Mathematical modeling, simulation, optimization for power engineering and management. Cham: Springer International Publishing.

Göttlich, S., Hoher, S., Verl, A., Weißen, J. and Kienzlen, A. (2024). Materialflusssimulation für die virtuelle Inbetriebnahme in Steuerungsechtzeit. In Echtzeitsimulation in der Produktionsautomatisierung Beiträge zu Virtueller Inbetriebnahme, Digitalem Engineering und Digitalen Zwillingen (S. 121–140). Berlin , Heidelberg: Springer Nature.
David, L. and Hertling, C. (2021). Meromorphic connections over F-manifolds. In Integrability, quantization, and geometry : dedicated to the memory of Boris Dubrovin, 1950-2019. Volume 1: Integrable systems (S. 171–216). Providence, RI: American Mathematical Soc.
Hertling, C., Krause, M. and Schmidt, M. U. (2021). Innovation, Interdisziplinarität und Internationalität: Die Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik. In Eine Universität für die Gesellschaft : 75 Jahre Neubegründung Wirtschaftshochschule und Universität Mannheim (S. 129–132). Ubstadt-Weiher: verlag regionalkultur.
Hertling, C. and Roucairol, C. (2021). Destinguished bases and Stokes regions for the simple and the simple elliptic singularities. In Moduli spaces and locally symmetric spaces (S. 39–106). Somerville, Mass. ; Beijing: International Press ; Higher Education Press.

Benning, F. (2025). A distributional view of high dimensional optimization. Dissertation. Mannheim.
Larabi, K. (2025). Lattice endomorphisms, Seifert forms and upper triangular matrices. Dissertation. Mannheim.
Klein, S. (2024). Dynamic approaches for stochastic gradient methods in reinforcement learning. Dissertation. Mannheim.
Nikolaev, P. (2024). Mean field limit for stochastic particle systems with and without common noise. Dissertation. Mannheim.
Schillinger, T. (2024). Conservation laws with uncertainty on networks : traffic flow and supply systems. Dissertation, Dr. Hut. München.
Dörr, C. (2023). On asymmetric models in multivariate geostatistics. Dissertation. Mannheim.
Fokken, E. (2023). Simulation and optimization of coupled gas and power networks. Dissertation. Mannheim.
Freudenberg, A. (2023). Novel techniques for accelerating statistical operations on compressed genomic data. Dissertation. Mannheim.
Mickel, A. (2023). Weak and strong approximation of the Log-Heston model by Euler-Type methods and related topics. Dissertation. Mannheim.
Vujić, M. (2023). Geometry of the sets of Nash equilibria in mixed extensions of finite games. Dissertation. Mannheim.
Feldmann, K. (2022). Aspects of spatial postprocessing for global temperature forecasts. Dissertation. Mannheim.
Guth, P. (2022). Efficient methods for optimal control problems subject to partial differential equations with uncertain coefficients. Dissertation. Mannheim.
Gvozdik, V. (2022). Rigorous derivation of the degenerate parabolic-elliptic Keller-Segel System from a moderately interacting stochastic particle system. Dissertation. Mannheim.
Weißen, J. (2022). Traffic and material flow models : modeling, simulation and optimization. Dissertation, Dr. Hut. München.
Friedrich, J. (2021). Traffic flow models with nonlocal velocity. Dissertation, Dr. Hut. München.
Jung, T. (2021). Delayed traffic models in multiple scales : new macroscopic models and their numerics. Dissertation, Fraunhofer Verlag. Stuttgart.
Liew, M. (2021). Time-dependent effective one-particle equations for large interacting fermionic systems. Dissertation. Mannheim.
Meister, J. (2021). Äquivariante holomorphe Differentialoperatoren mit vektorwertigen Automorphiefaktoren. Dissertation. Mannheim.
Samara, A. (2021). Stochastic routing optimized for autonomous driving. Dissertation. Mannheim.
Schlegel, K. (2021). On a non-deterministic mixed integer problem for production control. Dissertation. Mannheim.
Trottner, L. (2021). Implications of Markov stability theory for nonparametric statistics, Markov additive fluctuations and data-driven stochastic control. Dissertation. Mannheim.

Neuenkirch, A. (2021). D. Higham, P. Kloeden: “An introduction to the numerical simulation of stochastic differential equations”. Review, Jahresbericht der Deutschen Mathematiker-Vereinigung

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