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Professional information

András József Tóbiás, PhD
Postdoctoral researcher (research assistant) in Noemi Kurt's group at TU Berlin, member of the postdoctoral faculty of the Berlin Mathematical School
Formerly scholarship holder of the Berlin Mathematical School, PhD student in Mathematics at TU Berlin with Wolfgang König
Email: tobias_AT_math.tu-berlin.de
Office at TU Berlin: Str. des 17 Juni 136, 10623 Berlin Charlottenburg-Wilmersdorf, room MA 767

My CV (as of September 5, 2021)

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, last revised on 25 May 2021), Theoret. Pop. Biol. 139, 18-49.

Accepted

8. SINR percolation for Cox point processes with random powers (joint with B. Jahnel, last revised on 5 October 2020), to appear at the Adv. Appl. Probab.
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), to appear at the Brazilian Journal of Probability and Statistics
10. 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.

Preprints (submitted)

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)
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)
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. Virus dynamics in the presence of contact-mediated host dormancy (joint with J. Blath, last revised on 23 July 2021)

PhD thesis

Message routeing and percolation in interference limited multihop networks. With Wolfgang König at TU Berlin, second reviewer: Giovanni Luca Torrisi. PhD defense on 27 March 2019, final version of the thesis published on 8 May 2019.

Master's thesis

Highly dense mobile networks with random fadings. With Wolfgang König at TU Berlin, 18 April 2016.

Teaching

Winter semester 2021/2022

Wahrscheinlichkeitstheorie II Übungen (in Präsenz/hybrid): ISIS-Seite
This course is a basic course of the Berlin Mathematical School under the name "Stochastic Processes I (discrete time)".

Summer semester 2021

Analysis II für Mathematikerinnen und Mathematiker Übung (digital): ISIS-Seite

Winter semester 2020/2021

Analysis II für Mathematikerinnen und Mathematiker Übung und Tutorien (digital): ISIS-Seite
Sprechstunde: siehe ISIS-Seite.

Summer semester 2020

Stochastik für Informatik(er) Vorlesungen: https://isis.tu-berlin.de/course/view.php?id=18995
Sprechstunde: donnerstags 10:30-12:00. Vorlesungen: bis auf Weiteres nur digitale Vorlesungen, siehe ISIS-Seite!

Winter semester 2019/2020

Versicherungsmathematik Übung: https://isis.tu-berlin.de/course/view.php?id=17738 Übung: Mi 8:30-10 (MA 042).
Analysis II für Ingenieure Tutorium: https://isis.tu-berlin.de/course/view.php?id=17600 Tutorium: Mi 16-18 (MA 749).
Sprechstunden: siehe ISIS-Seiten.

Summer semester 2019

Stochastik für Informatiker Tutorien: https://isis.tu-berlin.de/course/view.php?id=12491 Tutorien: Di 14-16 (MA 544), Do 14-16 (MA 549). Sprechstunden während der Vorlesungszeit bis Juli 2019: Do 12:15-13:45 (MA 767).

For earlier semesters, please click here.

Collateral activities

BMS-BGSMath junior meeting in Barcelona, postponed to autumn 2022

I am part 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.