HM Büro
Die Webseite der Informationsstelle zu Mathematik-Veranstaltungen für Studierende anderer Fachbereiche finden Sie hier.
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