I am quite new at Linnaeus University as I started as Senior Lecturer in August 2023. Since December 2023 I am Docent, which could be translated as Associate Professor in the area of Stochastic Analysis.
I finished my PhD 2013 at the Technische Universität Kaiserslautern in Germany in the field of Stochastic Analysis under the supervision of Martin Grothaus. From August 2013 to August 2014 I was postdoctoral fellow at the Center of Mathematical Analysis and its Applications (CMAF) in Lisbon, Portugal.
Starting from September 2014 I was on a lecturer position at TU Kaiserslautern and from 2015 I was permanent senior lecturer (Akademischer Rat) and responsible for the Engineering Mathematics in Kaiserslautern.
During my academic life I have actively participated in several comissions and was also highly involved in internationalization.
I want to use my knowledge to be a "change maker" and enhance the international visibility of LNU in Stochastic Analysis.
Teaching
I am currently teaching
1MA441/1MA401 Basic Mathematics for Computer Science/ Mathematics
4MA901 Applied Analysis
Please see MyMoodle for the websites.
Research
Currently my research has 3 focal projects:
1.) NonGaussian Analysis and Random Time Change
(with O. Draouil from University of Tunis El Manar and Lorenzo Cristofaro from University of Luxembourg)
Aim is the development of a white noise like calculus for nonGaussian measures which can be represented as randomly scaled Gaussian measures. Classical examples are Incomplete Gamma measures and the MittagLeffler measure.
The corresponding processes have structural properties which are very close to that of Gaussian processes. We want to use these to develop a regularity theory in the sense of MeyerWatanabe, based on the HitsudeSkorokhod type integral.
2.) NonLinear Markov Processes and McKeanSDEs
(with M. Louriki (Cadi Ayyad, Morrocco), M. Rehmeier (TU Berlin) and M. Röckner (University of Bielefeld)
Röckner and Rehmeier studied nonlinear Markov processes in the sense of McKean's and present a large class of new examples. Their notion of nonlinear Markov processes is more general in order to include examples of such processes whose onedimensional time marginal densities solve a nonlinear parabolic PDE. They showed that the associated nonlinear Markov process is given by path laws of weak solutions to a corresponding distributiondependent stochastic differential equation where both the diffusion and drift coefficient depends singularly (i.e. Nemytskiitype) on its onedimensional time marginals.
In this project we lift the theory from the vectorvalued to the Gel'fand triple, i.e. infinite dimensional case and establish also a realtionship to a generalized quadratic form. A generalization of McKeanType was studied by me and M. Louriki for McKean bridges of mean type.
3.) White Noise Analysis and MittagLeffler Analysis
In this project, we have serval conributions to the theory of Gaussian Analysis and MittagLeffler Analysis.
 Mosco convergence vs. Hida convergence
In this subproject, I established a sufficient condition for KuwaeShioyaMosco convergence for Dirichlet forms over White Noise spaces. We linked the convergence to a uniform convergence of Hidadistributions. The result is also valid for changing reference measures. As an example we showed that the planar fractional Edwards measure can be used to approximate the stochastic quantization of the planar Brownian polymer measure.
 Operators and Regularity in MittagLeffler Analysis
In this subproject we established an operator calculus for nonGaussian analysis using differential operators on polynomials. The challenge is that there is no Fock space in the MittagLeffler case. In addition we worked out concepts for regularity theory in nonGaussian analysis, which are user friendly.
My research groups

Computational Mathematics for Predictive Digital Twins (PreDiTwin) In recent years, remarkable progress in mathematics, processbased modeling, data science, and sensor technology has opened up…

Stochastic Analysis and Stochastic Processes The researchers of this group focus on analytical and numerical aspects of solutions to stochastic differential equations (SDE’s and SPDE’s) and stochastic…
Publications
Article in journal (Refereed)

Fome, A.D., Bock, W., Klar, A. (2025). Analysis of a competitive respiratory disease system with quarantine : Epidemic thresholds and crossimmunity effects. Applied Mathematics and Computation. 485.
Status: Published 
Bock, W., Canto, C.G., Barquero, D.M., Gonzalez, C.M., Campos, I.R., et al. (2024). Algebraic Entropy of Path Algebras and Leavitt Path Algebras of Finite Graphs. Results in Mathematics. 79 (5).
Status: Published 
Bock, W., Cristofaro, L. (2024). Characterization and analysis of generalized grey incomplete gamma noise. Stochastics : An International Journal of Probablitiy and Stochastic Processes.
Status: Epub ahead of print 
Bock, W., Futorny, V., Neklyudov, M. (2024). A JordanSchwinger Variant of the Spectral Theorem for Linear Operators. Journal of Mathematical Analysis and Applications. 531 (1).
Status: Published 
Bock, W., Bock, M. (2023). Two generalizations of Mehler’s formula in white noise analysis. Stochastics : An International Journal of Probablitiy and Stochastic Processes. 95 (4). 501520.
Status: Published 
Bock, W., Sebandal, A.N. (2023). An adjacency matrix perspective of talented monoids and Leavitt path algebras. Linear Algebra and its Applications. 678. 295316.
Status: Published 
Bock, W., Sebandal, A., Vilela, J. (2023). A talented monoid view on Lie bracket algebras over Leavitt path algebras. Journal of Algebra and its Applications. 22 (8).
Status: Published 
Bock, W., Grothaus, M., Orge, K. (2023). Stochastic analysis for vectorvalued generalized grey Brownian motion. Theory Probability and Mathematical Statistics. (108). 127.
Status: Published 
Rodiah, I., Vanella, P., Kuhlmann, A., Jaeger, V.K., Harries, M., et al. (2023). Agespecific contribution of contacts to transmission of SARSCoV2 in Germany. European Journal of Epidemiology. 38 (1). 3958.
Status: Published 
Sherratt, K., Gruson, H., Grah, R., Johnson, H., Niehus, R., et al. (2023). Predictive performance of multimodel ensemble forecasts of COVID19 across European nations. eLIFE. 12.
Status: Published 
Bock, W., Futorny, V., Neklyudov, M. (2022). A Poisson algebra on the Hida test functions and a quantization using the Cuntz algebra. Letters in Mathematical Physics. 112 (2).
Status: Published 
Bock, W., Canama, J., Petalcorin, G. (2022). On Solvable Lie Algebras of White Noise Operators. Symmetry. 14 (11).
Status: Published 
Liguarda, R., CagaAnan, R.L., Bock, W. (2022). Optimal control for a tuberculosis model with exogenous reinfection under the influence of stigma. Computational and Mathematical Biophysis. 10. 249261.
Status: Published 
Bock, W., Futorny, V., Neklyudov, M. (2021). Convex topological algebras via linear vector fields and Cuntz algebras. Journal of Pure and Applied Algebra. 225 (3).
Status: Published 
Abdul Salam, P.S., Bock, W., Klar, A., Tiwari, S. (2021). Disease contagion models coupled to crowd motion and meshfree simulation. Mathematical Models and Methods in Applied Sciences. 31 (6). 12771295.
Status: Published 
Bock, W., Fattler, T., Streit, L. (2021). The Edwards model for fractional Brownian loops and starbursts. Journal of Stochastic Analysis. 2 (2).
Status: Published 
Bock, W., Bornales, J.B., Streit, L. (2021). Dynamical properties of Gaussian chains and loops with longrange interactions. Reports on mathematical physics. 88 (2). 233246.
Status: Published 
Bock, W., Gumanoy, A.E. (2021). Generalized MittagLeffler kernels and generalized scaling operators in MittagLeffler analysis. Methods of Functional Analysis and Topology. 27 (4). 308319.
Status: Published 
Müller, N., Bock, W. (2021). Stochastic perturbation of the LighthillWhithamRichards model via the method of stochastic characteristics. Journal of Mathematics in Industry. 11 (1).
Status: Published 
Bock, W., Jayathunga, Y., Götz, T., Rockenfeller, R. (2021). Are the upper bounds for new SARSCoV2 infections in Germany useful?. Computational and Mathematical Biophysis. 9 (1). 242260.
Status: Published 
Heidrich, P., Jayathunga, Y., Bock, W., Götz, T. (2021). Prediction of dengue cases based on human mobility and seasonality : an example for the city of Jakarta. Mathematical methods in the applied sciences. 44 (17). 1363313658.
Status: Published 
Bock, W., Desmettre, S., Da Silva, J.L. (2020). Integral representation of generalized grey Brownian motion. Stochastics : An International Journal of Probablitiy and Stochastic Processes. 92 (4). 552565.
Status: Published 
Bock, W., Da Silva, J.L., Suryawan, H.P. (2020). Selfintersection local times for multifractional Brownian motion in higher dimensions : a white noise approach. Infinite Dimensional Analysis Quantum Probability and Related Topics. 23 (1).
Status: Published 
Bock, W., Da Silva, J.L., Streit, L. (2020). Fractional periodic processes : properties and an application of polymer form factors. Reports on mathematical physics. 85 (2). 267280.
Status: Published 
Bock, W., Da Silva, J.L., Streit, L. (2019). On the potential in nonGaussian chain polymer models. Mathematical methods in the applied sciences. 42 (18). 74527460.
Status: Published 
Bock, W., Jayathunga, Y. (2019). Optimal control of a multipatch dengue model under the influence of Wolbachia bacterium. Mathematical Biosciences. 315.
Status: Published 
Bock, W., Götz, T., Liyanage, U.P. (2018). Parameter estimation of fiber laydown in nonwoven production : an occupation time approach. International Journal of Advances in Engineering Sciences and Applied Mathematics. 10 (1). 28.
Status: Published 
Bock, W., Da Silva, J.L., Fattler, T. (2018). Analysis of stochastic quantization for the fractional Edwards measure. Reports on mathematical physics. 82 (2). 187202.
Status: Published 
Bock, W., Jayathunga, Y. (2018). Optimal control and basic reproduction numbers for a compartmental spatial multipatch dengue model. Mathematical methods in the applied sciences. 41 (9). 32313245.
Status: Published 
Götz, T., Altmeier, N., Bock, W., Rockenfeller, R., Sutimin, S., et al. (2017). Modeling dengue data from Semarang, Indonesia. Ecological Complexity : An International Journal on Biocomplexity in the Environment and Theoretical Ecology. 30. 5762.
Status: Published 
Bock, W., Capraro, P. (2017). The Hamiltonian path integral for potentials of the Albeverio Hø eghKrohn class : a white noise approach. Reports on mathematical physics. 79 (1). 89109.
Status: Published 
Bock, W., Fattler, T., Streit, L. (2017). Stochastic quantization for the fractional Edwards measure. Acta Applicandae Mathematicae  An International Survey Journal on Applying Mathematics and Mathematical Applications. 151. 8188.
Status: Published 
Bock, W., Da Silva, J.L., Suryawan, H.P. (2016). Local times for multifractional Brownian motion in higher dimensions : a white noise approach. Infinite Dimensional Analysis Quantum Probability and Related Topics. 19 (4).
Status: Published 
Bock, W., Bornales, J.B., Cabahug, C.O., Eleutério, S., Streit, L. (2015). Scaling properties of weakly selfavoiding fractional Brownian motion in one dimension. Journal of statistical physics. 161 (5). 11551162.
Status: Published 
Bock, W., Oliveira, M.J., Da Silva, J.L., Streit, L. (2015). Polymer measure : Varadhan’s renormalization revisited. Reviews in Mathematical Physics. 27 (3).
Status: Published 
Bock, M., Bock, W. (2015). Regular transformation groups based on FourierGauss transforms. Communications on Stochastic Analysis. 9 (2). 181203.
Status: Published 
Bock, W., Grothaus, M. (2015). The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution. Infinite Dimensional Analysis Quantum Probability and Related Topics. 18 (2).
Status: Published 
Bock, W. (2014). Hamiltonian path integrals in momentum space representation via white noise techniques. Reports on mathematical physics. 73 (1). 91107.
Status: Published 
Bock, W., Götz, T., Grothaus, M., Liyanage, U.P. (2014). Parameter estimation from occupation times : a white noise approach. Communcations on Stocastic Analysis. 8 (4).
Status: Published 
Bock, W., Grothaus, M., Jung, S. (2012). The Feynman integrand for the charged particle in a constant magnetic field as white noise distribution. Communcations on Stocastic Analysis. 6 (4).
Status: Published 
Bock, W., Grothaus, M. (2012). A white noise approach to phase space Feynman path integrals. Theory of Probability and Mathematical Statistics. 85. 722.
Status: Published
Conference paper (Refereed)
 Sherly, A., Bock, W. (2022). Multipatch ZIKV Model and Simulations. Progress in Industrial Mathematics at ECMI 2021.. 433438.
 Bock, W., Bornales, J.B., Cabahug, C.O., Fattler, T., Streit, L. (2020). Fractional Brownian motion : Some recent results and generalizations. 9th Jagna International Workshop: Stochastic Analysis – Mathematical Methods and RealWorld Models : 8–18 January 2020, Bohol, Philippines.
 Bock, W., Bornales, J.B., Burgard, J.P., Babiera, J.E., CagaAnan, R.L., et al. (2020). Testing, social distancing and age specific quarantine for COVID19 : Case studies in Iligan City and Cagayan de Oro City, Philippines. 9th Jagna International Workshop Stochastic Analysis – Mathematical Methods and RealWorld Models, 8–18 January 2020, Bohol, Philippines : Stochastic Analysis – Mathematical Methods and RealWorld Models, 8–18 January 2020, Bohol, Philippines.
 Rodiah, I., Bock, W., Fattler, T. (2019). An agent based modeling of spatially inhomogeneous hostvector disease transmission. Progress in Industrial Mathematics at ECMI 2018. 165173.
 Bock, W., Fattler, T., Rodiah, I., Tse, O. (2017). Numerical simulation of agentbased modeling of spatially inhomogeneous disease dynamics. Structure, Function and Dynamics from NM to GM : Proceedings of the 8th Jagna International Workshop, 4–7 January 2017, Bohol, Philippines.
 Bock, W., Fattler, T., Rodiah, I., Tse, O. (2017). An analytic method for agentbased modeling of spatially inhomogeneous disease dynamics. Struccture, Function and Dynamics from nm to Gm : Proceedings of the 8th Jagna International Workshop, 4–7 January 2017, Bohol, Philippines.
 Bock, W., Da Silva, J.L. (2017). Wick type SDEs driven by grey Brownian motion. Structure, Function and Dynamics from nm to Gm : Proceedings of the 8th Jagna International Workshop, 4–7 January 2017, Bohol, Philippines.
Chapter in book (Refereed)
 Lantau, J., Bracke, M., Bock, W., Capraro, P. (2020). The Design of a Successful Teacher Training to Promote Interdisciplinary STEM Modelling Projects. Mathematical Modelling Education and Sensemaking. Springer. 455465.
 Bock, W., Bracke, M. (2015). Applied school mathematics : Made in kaiserslautern. Currents in Industrial Mathematics : From Concepts to Research to Education. Springer. 403437.
Chapter in book (Other academic)
 Bock, W., Bracke, M. (2018). Modellierung und Simulation von Krankheitsausbreitungen. Digitale Werkzeuge, Simulationen und mathematisches Modellieren. Springer. 121136.
 Bock, W. (2017). How to use white noise analysis to make Feynman integrals mathematically rigorous. Let us use white noise. World Scientific. 67115.
 Bock, W., Roth, A. (2016). Der unmögliche Freistoß. Neue Materialien fuer einen realitaetsbezogenen Mathematikunterricht 3 : ISTRONSchriftenreihe. Springer. 1524.
 Bock, W. (2016). Generalized scaling operators in white noise analysis and applications to Hamiltonian path integrals with quadratic action. Stochastic and Infinite Dimensional Analysis. Springer. 5173.
 Bock, W., Bracke, M. (2014). Teamcycling : Optimales Teamtraining im Radsport. Neue Materialien fuer einen realitätsbezogenen Mathematikunterricht 2. Springer. 19.
Manuscript (preprint) (Other academic)
 Adamik, B., Bawiec, M., Bezborodov, V., Biecek, P., Bock, W., et al. (2020). Estimation of the Severeness Rate, Death Rate, Household Attack Rate and the Total Number of COVID19 Cases Based on 16 115 Polish Surveillance Records.