Preprints

• W.B., M. Grothaus, K. Orge, Stochastic Analysis for Vector-Valued Generalized Grey Brownian Motion, November 2021
• A. Sherly, W.B., Multipatch ZIKV Model and Simulations, September 2021
• R. Liguarda, W.B. R. Caga-anan, Optimal Control for Tuberculosis with Exogenous Reinfection and Stigmatization, January 2021
• W.B., Y. Jayathunga, An ADI Scheme for Two-sided Fractional Reaction-Diffusion Equations and Applications to an Epidemic Model, Revision December 2020,
• M. Bock, W.B., Two Generalizations of Mehler's formula in White Noise Analysis, submitted revision December 2020
• W.B. J. Bornales, C. Cabahug, L.Streit, A Critical Phenomenon for a One Dimensional Weakly Self-Avoiding fractional Brownian Motion, submitted April 2020
• Adamik, B., Bawiec, M., Bezborodov, V., Bock, W., Bodych, M., Burgard, J., ... & Ozanski, T. Mitigation and herd immunity strategy for COVID-19 is likely to fail.  submitted April 2020
• W. Bock, T. Fattler, I. Rodiah, Spatially Inhomogeneous Host-Vector Disease Transmission using Configuration Space Analysis, submitted June 2019

Publications in Journals of Mathematics and Mathematical Physics

2021

• W.B., M. Neklyudov, V. Futorny, A Poisson Algebra on the Hida Test Functions and a Quantization using the Cuntz Algebra, accepted for publication in Letters of Mathematical Physics (2021)
• W.B. , T. Götz, Y. Jayathunga, R. Rockenfeller, Are the upper brounds for new SARS-CoV-2 Infections in Germany useful?, accepted for publication in Comp.Math. Biophys. (2021)
• W.B., A. Gumanoy, Generalized Mittag-Leffler Kernels and Generalized Scaling Operators in Mittag-Leffler Analysis, accepted for publication in Meth. Func. Ana. Top. (2021)
• W.B., T. Fattler, L. Streit, The Edwards Model for fBm Loops and Starbursts, Journal of Stochastic Analysis Vol.2, No. 2, (2021)
• W.B., J.B. Bornales, L. Streit, Dynamical Properties of Gaussian Chains and Rings with Long Range Interactions, accepted for publication in Rep. Math. Phys. (2021)
• N. Müller, W.B., Stochastic Perturbation of the Lighthill-Whitham-Richards Model via the Method of Stochastic Characteristics, J. Math. Ind. 11:7, (2021)
• P. Shamim, W. Bock, A. Klar, S. Tiwari, Disease contagion models coupled to crowd motion and mesh-free simulation, DOI: 10.1142/S0218202521400066, Math.Mod.Meth.Appl.Sci. (2021)
• P. Heidrich, Y. Jayathunga, W.B., T. Götz, Prediction of Dengue Cases Based on Human Mobility and Seasonality - An Example for the City of Jakarta, accepted for publication in M2AS (2021)
• W.B., V. Futorny, M. Neklyudov, Convex topological algebras via linear vector fields and Cuntz algebras, Journal of Pure and Applied Algebra, Vol.225, Iss. 3, (2021).

2020

• W.B., J.L. da Silva, L. Streit, Fractional Periodic Processes: Properties and an Application of Polymer Form Factors, Rep. Mat. Phys. 85 (2), 267-280 (2020).
• W.B,, J.L. da Silva, H.P. Suryawan, Self-intersection Local Times for Multifractional Brownian Motion in Higher Dimensions: A White Noise Approach, accepted in Infinite Dimensional Analysis, Quantum Probability and Related Topics (2020).

2019

• W.B., J.L. da Silva, L. Streit, On the Potential in Non-Gaussian Chain Polymer Models, accepted for publication in Math. Mod. In Appl. Sci. (2019).
• W.B., S. Desmettre, J.L. Silva, Integral Representation of Generalized Grey Brownian Motion, accepted for publication in Stochastics (2019).
• W.B., Y. Jayathunga, Optimal control of a Multi-patch dengue model under the influence of Wolbachia bacterium, in J. Math. Bio. Sci. Eng. (2019).

2018

• W.B., T. Götz, U.P. Liyanage, Parameter estimation of fiber lay-down in nonwoven production: an occupation time approach,  Int J Adv Eng Sci Appl Math. (2018).
• W.B., T. Fattler, J.L. da Silva, Analysis of the Stochastic Quantization for the Fractional Edwards measure,  Rep. Mat. Phys.  (2018).
• W.B., Y. Jayathunga, Optimal Control and Basic Reproduction Numbers for a Compartemental Spatial Multipatch Dengue Model, Math. Mod. In Appl. Sci. (2018).

2017

• W.B., T. Fattler, L. Streit, Stochastic Quantization of the Fractional Edwards Measure, Acta Applicandae Mathematicae, Vol. 151, Iss. 1, (2017).
• W.B., P. Capraro, The Hamiltonian Path Integral for Potentials of the Albeverio-Høegh-Krohn Class – a White Noise Approach, Reports on Mathematical Physics Vol. 79, Iss. 1, (2017).

2016

• W.B., J.L. Silva, H.P. Suryawan, Local Times for Multifractional Brownian Motion in Higher Dimensions: A White Noise Approach. Infinite Dimensional Analysis, Quantum Probability and Related Topics Vol. 19, Iss. 4, (2016).

2015

• W.B., J.B. Bornales, C. Cabahug, S. Eleuterio, L.Streit,  Scaling Properties of Weakly Self-Avoiding Fractional Brownian Motion in One Dimension. Journal of Statistical Physics. Vol 161, Iss 5, (2015).
• M. Bock, W.B., Regular  Transformation Groups based on Fourier-Gauss Transforms, Communications in Stochastic Analysis (2015).
• W.B., M. Grothaus, 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. Vol. 18 Iss. 2, (2015).
• W.B., M. J. Oliveira, J.L. da Silva, L. Streit, Polymer measure: Varadhan's renormalization revisited. Reviews in Mathematical Physics. 27, (3), (2015).

2014

• W.B., Hamiltonian Path Integrals in Momentum Space Representation via White Noise Techniques. Rep. Mat. Phys.. 73, (1), 91-107, (2014).
• W.B., T. Götz., M. Grothaus, U.P. Liyanage, Parameter Estimation from Occupation Times -A White Noise Approach. Comm. Stoch. Ana. 4, (8), 489–499, (2014).

2012

• W.B., M. Grothaus, S. Jung, The Feynman integrand for the charged particle in a constant magnetic field as White Noise distribution. Communications in Stochastic Analysis. 6, (4), 649-668, (2012).
• W.B., M. Grothaus White noise approach to phase space Feynman path integrals. Teor. Imovir. Mat. Stat.. 85, (2012).

Conference Proceedings (peer reviewed)

2021

W.B., T. Götz, R.Rockenfeller, M.Schäfer, A two–strain SARS–COV–2 model for Germany - Evidence from a Linearization, Proceedings of the COVER Conference, October 30th, 2021

2020

• W.B., J B. Bornales, J P Burgard, et.al. Testing, Social distancing and age specific quarantine for COVID-19: Case studies in Iligan City and Cagayan de Oro City, Philippines, Conference Proceedings AIP, Worldscientific (2020)
• W.B., J. Bornales, T. Fattler, L. Streit, Fractional Brownian motion - Some Recent Results and Generalizations,  Conference Proceedings AIP, Worldscientific (2020)

2019

W.B., T.Fattler, I. Rodiah, An Agent Based Modeling of Spatially Inhomogeneous Host-Vector Disease Transmission – ECMI Proceedings 2019

2017

• W.B., J.L. da Silva, Wick type SDEs driven by grey Brownian motion, Conference Proceedings AIP, Worldscientific (2017)
• W.B., T.Fattler, I. Rodiah, O.Tse, An analytic method for agent based modeling of disease spreads, Conference Proceedings AIP, Worldscientific (2017)
• W.B., T.Fattler, I. Rodiah, O.Tse, Numerical Evaluation of agent based modeling of disease spreads, Conference Proceedings AIP, Worldscientific (2017)

Book Chapters

• W.B, How to Use White Noise Analysis to Make Feynman Integrals Mathematically Rigorous, in Let Us Use White Noise, pp. 67-115, Mai 2017, World Scientific  
• W.B, Generalized Scaling Operators in White Noise Analysis and Applications to Hamiltonian Path Integrals with Quadratic Action in Stochastic and Infinite Dimensional Analysis. Birkhäuser - Trends in Mathematics (2015).
• W.B, M. Bracke, Schulmathematik – Made in Kaiserslautern in Mathematik im Fraunhofer-Institut. Springer Spektrum, (2014).

Publications in Didactics

• W.B., M. Bracke, Modellierung und Simulation von Krankheitsausbreitungen.  Digitale Werkzeuge, Simulationen und mathematisches Modellieren (2018)
• W.B., M. Bracke, P. Capraro, J.-M. Lantau, The Design of a Successful Teacher Training to Promote Interdisciplinary STEM Modeling Projects?.  Proc. ICTMA-18.
• W.B., M. Bracke, P. Capraro, J.-M. Lantau , On the positive influence of production-orientation in mathematical modelling: A research proposal, Proceedings of CERME 11
• P. Capraro, W.B., M. Bracke, Mathematical modeling of musical fountains and light organs - where is the M in interdisciplinary STEM projects? Proceedings of CERME 11
• W.B., M. Bracke, P. Capraro, Product Orientation in Modeling Tasks, Proceedings of CERME 10 (2017)
• W.B., A. Roth, Der unmögliche Freistoß, Neue Materialien für einen realitätsbezogenen Mathematikunterricht (2016)
• W.B., M. Bracke, J. Kreckler, Taxonomy of Modelling Tasks. Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education, Prag,  (2015).
• W.B., M. Bracke, Erfahrungen mit mathematischer Modellierung in der Hochschulausbildung,  Beiträge zum Mathematikunterricht 2015.
• W.B., M. Bracke, MINT-Projektunterricht in der Sekundarstufe I: Konzepte und Herausforderungen. Beiträge zum Mathematikunterricht 2014.
• W.B., M. Bracke, MINT-Projektunterricht in der Sekundarstufe I: Beispiele aus der Unterrichtspraxis. Beiträge zum Mathematikunterricht 2014.
• W.B., M. Bracke, Teamcycling-Optimales Teamtraining im Radsport. Neue Materialien für einen realitätsbezogenen Mathematikunterricht 2- Realitätsbezüge im Mathematikunterricht. 1-9, (2014).
• W. B., M. Bracke, Project Teaching and Mathematical Modelling in STEM Subjects: A Design Based Research Study. Proceedings of CERME 8. (2013 )

Lectures (Self concepted and held)

• Numerical Methods, MSU-IIT, 2nd term 2021
• Functional Analysis, MSU-IIT, 1st term 2021
• Selected Topics in Applied Mathematics, MSU-IIT, summer term 2020
• Proseminar Modellierung (Modeling seminar for Bachelor students), TU Kaiserslautern, winter term 2018/19
• Infinite Dimensional System and Control Theory, TU Kaiserslautern, summer term 2018
• Höhere Mathematik: Funktionentheorie (Complex Analysis for Engineers), TU Kaiserslautern, summer term 2018, 2019
• Höhere Mathematik: Numerik (Numerical methods for Engineers), TU Kaiserslautern, summer term 2018, 2019
• Höhere Mathematik I für Ingenieure  (Higher Mathematics I for Engineers), TU Kaiserslautern, summer term 2012, 2016, 2017, 2019, 2020, 2021 winter term 2008/09, 2009/10, 2011/12
• Höhere Mathematik II für Ingenieure  (Higher Mathematics II for Engineers), TU Kaiserslautern, winter term  2015/16, 2017/18, 2019/20, 2020/21, 2021/22
• Höhere Mathematik III Vektoranalysis für Ingenieure (Differential Geometry for Engineers), TU Kaiserslautern, winter term 2014/15
• Mathematics Preparation Course for Engineers and Economists, TU Kaiserslautern, winter term 2016/17, 2017/18, 2018/19, 2020/21  summer term 2017, 2021

Compact Courses

• A Primer on Machine Learning,  MSU-IIT Iligan, The Philippines, February 2020
• AIMS Modeling week, Skype Workshop am AIM Kigali, (first Modeling week in Rwanda) Kigali, Rwanda, May 2018
• Interacting Particle Systems and Lie Algebras, Workshop on Representation Theory and Mathematical Physics, AIMS Kigali, Rwanda, January 2018
• A Primer on Fractional Brownian Motion, SEAMS-School, Yogjakarta, Indonesia, August 2016
• Introduction to Financial Mathematics, DAAD-Workshop, ITB, Bandung, Indonesia, June 2015
• Introduction to Financial Mathematics, Yogjakarta, Indonesia, May 2015
• Introduction to Polymer Simulation, Tropical School, Jagna, Philippines, May 2015

Assistant for lectures

Conception and conducting of tutorials, organization of exams and tutorials

• Höhere Mathematik I für Ingenieure  (Higher Mathematics I for Engineers), TU Kaiserslautern, summer term 2016, 2017, winter term 2014/15, 2015/16, 2016/17, 2017/18, 2018/19
• Höhere Mathematik II für Ingenieure  (Higher Mathematics II for Engineers),TU Kaiserslautern, summer term 2016, 2017, 2018, 2019 winter term 2015/16, 2016/17, 2017/18
• Höhere Mathematik III Vektoranalysis für Ingenieure (Differential Geometry for Engineers), TU Kaiserslautern, winter term 2018/19, 2019/20
• Höhere Mathematik III Differentialgleichungen für Ingenieure (Differential Equations for Engineers), TU Kaiserslautern, winter term 2018/19, 2019/20
• Höhere Mathematik: Numerik (Numerical methods for Engineers), TU Kaiserslautern, summer term 2020

Lectures and assitance before PhD.

• Höhere Mathematik I (lecture, conception and conduction of tutorials, organization of exams and tutorials), TU Kaiserslautern, winter term 2008/09, 2009/10, 2011/12, summer term 2012
• Höhere Mathematik II (conception and conduction of tutorials, organization of exams and tutorials), TU Kaiserslautern, winter term 2010/11, summer term 2013
• Modeling Seminar for Master students, TU Kaiserslautern, winter term 2011
• Mathematics Preparation Course for Engineers and Economists (lecture, conception and conduction of tutorials, organization of exams and tutorials), TU Kaiserslautern, summer term 2011
• Grundlagen der Mathematik I (Foundations of Mathematics I) (Tutor), TU Kaiserslautern, winter term 2005/06 und 2007/08, summer term 2010
• Grundlagen der Mathematik II (Foundations of Mathematics II) (Tutor), TU Kaiserslautern, summer term 2006, 2007 and 2009
• Introduction to Ordinary Differential Equations (Tutor), TU Kaiserslautern, summer term 2008
• Introduction to Functional Analysis (Tutor), TU Kaiserslautern, winter term 2006/07

Teaching experience in school

• Additum Modellierung (Extra subject Mathematical Modeling) 1 hour per week for students of 8th grade, since school year 2018/19
• „STEM project subject: Bioacoustics – Automatic detection of bird songs“ in the Junior Engineering Academy at Heinrich-Heine Gymnasium Kaiserslautern (3 hours per week), school year 2012/2013
• „STEM project subject: Mathematics and Sport“ in the Junior Engineering Academy at Heinrich-Heine Gymnasium Kaiserslautern (3 hours per week), school years 2014/15 to 2016/17
• Supervisor/Organisor in several Modelling Days and Modelling Weeks since 2008