ORCID:  0000-0003-3218-6463

Researcher ID: A-1661-2016

Actual tasks: vehicular headway modelling, balanced particle systems, super-random states of one-dimensional systems,  new random matrix ensembles and their connection to vehicular dynamics, statistical rigidity and compressibility of particle ensembles,  totally asymmetric simple exclusion process,  stochastic gases with short/middle-ranged interactions, dynamics of pedestrian and vehicular flows, 2D agent systems with local interactions and statistical analysis of their microstructure, mathematical modelling of dynamics in socio-physical systems.

HIGHLIGHTS & NEWS:  New paper Comfort of pedestrians from a mathematical viewpoint: Kernel estimate approach is now published in Physica A  MK participates in EWGT 2023 (conference 25th Euro Working Group on Transportation), September 6-8 2023, Santander, Spain New article Statistical aspects of gap-acceptance theory for unsignalized intersection capacity is now published in Physica A  New article Super-random states in vehicular traffic — Detection & explanation is now published in Physica A  MK participates in Conference 24th Euro Working Group on Transportation, September 7-11 2021, Aveiro, Portugal  Popularizing article on pedestrian dynamics: M. Krbálek, Chůze v davu: impulzy bez doteku, Vesmír 9 (2019) 500-502 Milan Krbálek in DVTV (Interview with Emma Smetana)  Some important results of Milan Krbálek are cited in the Headway Modelling Survey:  Li, L., Chen, X.M., 2017. Transportation Research Part C 76, 170 The final version of the article Three methods for estimating a range of vehicular interactions is now published in Physica A  The final version of the article Pedestrian headways — Reflection of territorial social forces is now published in Physica A  MK is a member of Program Committee at VEHICULAR 2017 (Nice - France, July 23-27, 2017)  Two new articles in Physics Letters A are now published MK participates in World Conference on Transport Research, July 10-15 2016, Shanghai, China (Oral presentation and Session chair) Article Statistical properties of the city transport in Cuernavaca (Mexico) and random matrix ensembles (by Milan Krbálek and Petr Šeba) is included in the book Komplexität und Universalität (Die weltweit besten mathematischen Artikel im 21. Jahrhundert) by famous matematician Terence Tao  Milan Krbálek is now the Country Representative of World Conference on Transport Research Society (WCTRS)   MK is a member of Program Committee at VEHITS 2018 (Funchal, Madeira, March 16-18, 2018) Popularizing article In Mysterious Pattern, Math and Nature Converge (Natalie Wolchover) on relation between various nature patterns and random matrices quotes the results of Petr Šeba and Milan Krbálek

Conferences, Workshops, and Seminars: Participation in Conference VEHICULAR 2023 on Advances in Vehicular Systems, Technologies and Applications, March 13-17 2023, Barcelona, Spain Participation in 24th Conference EWGT 2021 on Transport Modeling and Control, September 7-11 2021, Aveiro, Portugal (abstract here to read)  Participation in Conference XL. Dynamics Days Europe 2020, August 23-27 2021, Nice, France (abstract here to read) MK is a member of Program Committee at VEHITS 2018 (Funchal, Madeira, March 16-18, 2018) Participation in conference Vehicular Headway Analytics in Penzion pod Drátníkem, Blatiny (May 30 - June 3, 2018) MK is a member of Program Committee at VEHITS 2017 (Portugal, Porto, April 23-24, 2017) Participation in conference Advanced Methods of Modern Theoretical Physics in JINR Dubna (Russia)  MK has been a member of Program Committee at VEHITS 2016 (Italy, Roma, April 23-24, 2016) Seminar talk at The Institute of Thermomechanics of the CAS, April 6 2016, 10:00 [Title: Stochastic Self-Organization in Inner Structure of Vehicular Systems]  Participation in conference Dynamics Days Europe 2016, June 6-10 2016, Corfu, Greece (abstract here to view) Participation in World Conference on Transport Research, July 10-15 2016, Shanghai, China (abstract here to view) Participation in conference Dynamics Days Europe 2015, September 6-10 2015, University of Exeter, UK [Title: On a link between novel ensembles of random matrices and systems of self-driven particles] Participation in 18th Euro Working Group on Transportation, July 14-16 2015 Delft, The Netherlands (abstract here to read) MK was a member of Program Committee at VEHITS 2015 (Lisbon, Portugal, May 20-12, 2015) Section Traffic Flow Studies at EWGT 2014  Participation in 17th Euro Working Group on Transportation, July 2-4 2014, Seville, Spain (abstract here to read)  Seminar talk at The Institute of Information Theory and Automation (UTIA), November 5 2013 (annonce)  Participation in Conference in Honour of the 90th Birthday of Freeman Dyson, August 26-29 2013, Nanyang Technological University, Singapore, Republic of Singapore (abstract here to read) Participation in 16th Euro Working Group on Transportation, September 4-6 2013, Porto, Portugal (abstract here to read) Participation in conference Dynamical Days 2013, June 3-7 2013, Madrid, Spain (abstract here to view) Participation in conference Dynamical Days 2012, September 1-19 2012, Göteborg, Sweden (abstract here to view) Participation in World Conference on Transport Research, July 15-18 2013, Rio de Janeiro, Brasil (abstract here to view) Participation in World Conference on Transport Research, July 11-15 2010, Lisbon, Portugal (abstract here to view)  Participation in Analytic and Algebraic Methods VI, May 9 - 11, 2010, Villa Lanna, Prague (abstract here to view) Symposium Models and Measurements in Traffic, Université de Paris-Sud, FRANCE, April 2008 (web sites)

Cited References (with/without self-citation):  373/235  (source: ISI Web of Knowledge, last update: 4.3.2024)

H-index:  12  (source: ISI Web of Knowledge, last update: 4.3.2024)

Graph of citations per years: you can view here (last update: 29.1.2024)

Recent project: Advanced mathematical-physical methods for modeling of traffic flow microstructure (2020–2024, grant by Technology Agency of the Czech Republic)

Top project: Detection of stochastic universalities in non-equilibrium states of socio-physical systems by means of Random Matrix Theory (2015–2017, grant by Czech Science Foundation)

Essential paper on exact solution of thermodynamical traffic model published in Journal of Physics A: M. Krbálek, Equilibrium distributions in thermodynamical traffic gas, J. Phys. A: Math. Theor. 40 (2007), 5813-5821

Popularizing article on pedestrian dynamics: M. Krbálek, Chůze v davu: impulzy bez doteku, Vesmír 9 (2019) 500-502

Popularizing article on determining mental-strain coefficient of car drivers by means of spectral-statistics analysis (known from Random Matrix Theory) - here to read (in czech)

It was a pleasure to see that the results of Petr Šeba and Milan Krbálek on Mexican buses were quoted in the plenary talk of Percy Deift at 2006 International Congress of Mathematicians in Madrid as one of the core examples of universality associated with Random Matrix Ensembles.

Articles in high-impact-factor journals: Physical Review E (Impact Factor 2018: 2.353) & Physica A  (Impact Factor 2020: 3.263) & Transportmetrica A – Transport Science (Impact Factor 2018: 1.988) &  Journal of Physics A: Mathematical and Theoretical (Impact Factor 2018: 2.110) &   Journal of Computational Science (Impact Factor 2018: 2.502) & Physics Letters A  (Impact Factor 2018: 2.087) & Journal of Cellular Automata (Impact Factor 2018: 0.915) & Kybernetika (Impact Factor 2018: 0.560) & Journal of Statistical Mechanics: Theory and Experiment & Transportation Research Procedia.

Popular articles in: The Times (London), Discovery (USA), Science News, MF Dnes, Quanta Magazine a Vesmír

TV and Radio interviews in: DVTV Interview with Emma Smetana (Driver's brain as the main cause of platoons) and BBC (Buses on Quantum Schedules)