"The days when freeways were free ways are over."   Dirk Helbing (Traffic and related self-driven many-particle systems, 2001)

Scientific Research

Last up-date time: 03.10.2017 13:08

Actual tasks: new random matrix ensembles and their connection to vehicular dynamics, statistical corigidity of particle ensembles,  totally asymmetric simple exclusion process,  inter-particle distance distribution of stochastic gases with 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.

NEWS:  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: 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):  192/141  (source: ISI Web of Knowledge, last update: 3.10.2017)

H-index:  08  (source: ISI Web of Knowledge, last update: 3.10.2017)

Recent paper estimating a range of vehicular interactions is now published by Physica A

Current project: Detection of stochastic universalities in non-equilibrium states of socio-physical systems by means of Random Matrix Theory (20152017, 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 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 2015: 2.252), Journal of Physics A: Mathematical and Theoretical (Impact Factor 2015: 1.933), Physica A  (Impact Factor 2015: 1.785), Physics Letters A  (Impact Factor 2015: 1.677), Transportmetrica A Transport Science (Impact Factor 2015: 1.477), Kybernetika (Impact Factor 2015: 0.628), Journal of Cellular Automata (Impact Factor 2015: 0.418)

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

Radio-interviews in: BBC

Science Publications Selected