Welcome to my webpage!
András József Tóbiás, PhD
Assistant professor/senior lecturer/egyetemi adjunktus at the Department of Computer Science and Information Theory at the Faculty of Electrical Engineering and Informatics of the Budapest University of Technology and Economics,
and postdoctoral researcher/research fellow/tudományos munkatárs at the Alfréd Rényi Institute of Mathematics (part-time position until August 2023 in the DYNASNET project with Balázs Ráth)
Formerly (2019-2022): postdoctoral researcher (research assistant) in Noemi Kurt's group at TU Berlin and member of the postdoctoral faculty of the Berlin Mathematical School (BMS)
Formerly scholarship holder of the Berlin Mathematical School (2014-2019), PhD student in Mathematics at TU Berlin with Wolfgang König (2016-2019)
Email (from September 2022): tobias_AT_cs.bme.hu
Office:: BME I (Informatics) building, 1117 Budapest, Magyar tudósok körútja 2., room IE.2.17.2
My CV (as of February 28, 2023)
1. A Gibbsian model for message routing in highly dense multihop networks (joint with W. König), ALEA, Lat. Am. J. Probab. Math. Stat. 16, 211-258 (2019).
2. Routeing properties in a Gibbsian model for highly dense multihop networks (joint with W. König), IEEE Transactions on Information Theory, 65:11 (2019).
3. Signal to interference ratio percolation for Cox point processes (last revised on 12 February 2019), ALEA, Lat. Am. J. Probab. Math. Stat. 17, 273-308 (2020).
4. Exponential moments for planar tessellations (joint with B. Jahnel, last revised on 6 August 2019), Journal of Statistical Physics 179, 90-109 (2020).
5. Lower large deviations for geometric functionals (joint with C. Hirsch and B. Jahnel, last revised on 15 October 2019), Electron. Commun. Probab. 25 paper no. 41, 12 pp. (2020).
6. Invasion and fixation of microbial dormancy traits under competitive pressure (joint with J. Blath, last revised on 7 April 2020), Stoch. Process. Appl., 130:12, 7363-7395 (2020).
7. The interplay of dormancy and transfer in bacterial populations: Invasion, fixation and coexistence regimes (joint with J. Blath), Theoret. Pop. Biol. 139, 18-49.
8. Particle systems with coordination (joint with A. González-Casanova and N. Kurt, last revised on 5 May 2021), to appear at ALEA, Lat. Am. J. Probab. Math. Stat. 18, 1817-1844 (2021).
9. Phase transitions for the Boolean model of continuum percolation for Cox point processes (joint with B. Jahnel and E. Cali, last revised on 25 May 2020), Brazilian Journal of Probability and Statistics 36:1, 20-44 (2022).
10. SINR percolation for Cox point processes with random powers (joint with B. Jahnel, last revised on 5 October 2020), Adv. Appl. Probab. 54, 227-253 (2022).
11. Absence of percolation in graphs based on stationary point processes with degrees bounded by two (joint with B. Jahnel, last revised on 8 June 2021). Random Structures and Algorithms 62:1, 240-255 (2023)
12. The role of connectivity on COVID-19 preventive approaches (joint with J. Nava-Trejo, V. Miró Pina, E. Nzabarushimana, A. González-Casanova and I. González Casanova, last revised on 11 March 2021). PLoS One 17:9, e0273906. https://doi.org/10.1371/journal.pone.0273906
13. A stochastic adaptive dynamics model for bacterial populations with mutation, dormancy and transfer (joint with J. Blath and T. Paul, last revised on 26 January 2023), ALEA, Lat. Am. J. Probab. Math. Stat. 20, 313-357 (2023).
14. Microbial virus epidemics in the presence of contact-mediated host dormancy (joint with J. Blath, last revised on 4 November 2022), ESAIM: Probability and Statistics, 27, 174-220 (2023).
There are no accepted but not published papers at the moment.
15. The wave speed of an FKPP equation with jumps via coordinated branching (joint with T. Rosati, last revised on 20 January 2022)
16. Scaling limit of an adaptive contact process (joint with A. González Casanova and D. Valesin, last revised on 7 July 2022)
17. The impact of dormancy on evolutionary branching (joint with J. Blath, T. Paul and M. Wilke Berenguer, not yet submitted, last revised on 5 September 2022)
Message routeing and percolation in interference limited multihop networks. With Wolfgang König at TU Berlin, second reviewer: Giovanni Luca Torrisi, 2019.
Highly dense mobile networks with random fadings. With Wolfgang König at TU Berlin, 2016.
Spring semester 2022/23
(Új) algoritmuselmélmélet (=Algorithm theory, for Computer Engineering students, in Hungarian and German), exercise classes: course webpage.
Autumn semester 2022/23
Valószínűségszámítás (=Probability theory, for Computer Engineering students, in Hungarian), exercise classes: course webpage.
Further courses taught earlier: for details, please click here
Stochastics for Computer Science students (Stochastik für Informatik(er)), 2020
Exercise classes with assistance (in German unless mentioned otherwise)
Exercise class at Benedikt Jahnel's minicourse "Stochastic geometry in telecommunications", BMS Summer School 2017, in English
Stochastics for Computer Science students (Stochastik für Informatik(er)), 2019
Insurance mathematics for Mathematics students (Versicherungsmathematik), 2019/2020
Analysis II for Mathematics students (Analysis II für Mathematiker*innen), 2020/2021
Analysis III for Mathematics students (Analysis III für Mathematiker*innen), 2021
Probability II for Mathematics students/Stochastic processes I: discrete time (Wahrscheinlichkeitstheorie II), 2021/2022, BMS Basic Course, in English
Measure and integration theory for Mathematics students (Maß- und Integrationstheorie), 2022
Tutorials without assistance
Analysis II for Engineering students (Analysis II für Ingenieurwissenschaften), 2019/2020 and 2022
Assistance at seminars
Spatial stochastic models for telecommunications, in English, 2018
BMS-BGSMath junior meeting in Barcelona, September 2022
I was a member of the organizing team from Berlin.
Webpage of the event
"What is...?" seminar
Since the beginning of 2017 until December 2019, I was one of the organizers of the weekly What is...?" seminar of the Berlin Mathematical School.