Welcome to my webpage!

Professional information

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.
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 September 10, 2022)

Publications

Published

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).

Accepted

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). To appear at the Random Structures and Algorithms.
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). To appear at PLOS One.

Preprints (submitted)

13. A stochastic adaptive dynamics model for bacterial populations with mutation, dormancy and transfer (joint with J. Blath and T. Paul, last revised on 19 May 2021)
14. Microbial virus epidemics in the presence of contact-mediated host dormancy (joint with J. Blath, last revised on 25 March 2022)
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)

PhD thesis

Message routeing and percolation in interference limited multihop networks. With Wolfgang König at TU Berlin, second reviewer: Giovanni Luca Torrisi, 2019.

Master's thesis

Highly dense mobile networks with random fadings. With Wolfgang König at TU Berlin, 2016.

Teaching

Autumn semester 2022

Valószínűségszámítás mérnökinformatikus hallgatóknak (=Probability theory for Computer Engineering students, in Hungarian), exercise classes: course webpage.

Further courses taught earlier: for details, please click here

Lectures

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

Collateral activities

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.