Ing. Pavel Hrabák, Ph.D. (external collaborator)
| e-mail: | show e-mail |
| room: | 039 |
Matrix Product Ansatz for Generalized TASEP
| advisor: | Ing. Pavel Hrabák, Ph.D. |
| e-mail: | show e-mail |
| type: | bachelor thesis, master thesis |
| branch of study: | MI_MM, MI_AMSM |
| key words: | Matrix Product Ansatz; generalized TASEP, stacionární rozdělení, statistická fyzika |
| description: | Úkolem práce je prozkoumat možnosti získání stacionárního rozdělení modelu TASEP se zobecněným updatem pomocí metody Matrix Product Ansatz, tj. ve tvaru součinu matic. Tyto možnosti byly zatím prozkoumány pro model na kruhu, a to P. Hrabák, 2014 (nepublikovaná část dizertace) a Aneva 2016. Lze se tedy zaměřit na model s otevřenými okraji, který dosud prozkoumán nebyl. Dílčí body zadání: 1. Seznámit se s transportními systémy jako je TASEP. 2. Osvojit si techniku hledání stacionárního rozdělení takových systémů pomocí součinu matic. 3. Prozkoumat možnosti této metody pro TASEP se zobecněným updatem, zaměřit se na otevřené okraje. Téma se pohybuje na hranici statistické fyziky a markovských řetězců. Vyžaduje nastudování netriviální teorie, předpokládá se tedy, že se student bude tématu věnovat 3 roky (bakalářka, výzkumák, diplomka). |
| references: | A. Schadschneider, D. Chowdhury, K. Nishinari, Stochastic Transport in Complex Systems: From Molecules to Vehicles, Elsevier Science B. V., Amsterdam, 2010. B.L. Aneva, J.G. Brankov, Matrix-product ansatz for the totally asymmetric simple exclusion process with generalized update on a ring. Physical Review E 94(2), 022138, 2016. R.A. Blythe and M.R. Evans, Nonequilibrium steady states of matrix-product form: a solver\'s guide, Journal of Physics A: Mathematical and Theoretical 40(46), R333, 2007. |
| last update: | 02.07.2018 16:35:08 |
V3S Database
The application records results of science and research, and other academic activities. The V3S application serves as a tool for submitting data to the RIV database, exporting data for statistic analyses, and internal evaluation of research.
List of publications in V3S
Articles
2012
Gonzúrová, W. and Hrabák, P., Blind Friendly LaTeX, Lecture Notes in Computer Science 2012 (2012) , 138-141
BiBTeX
BiBTeX
@ARTICLE{Gonzurova12:,
title = {{Blind Friendly LaTeX}},
author = {Gonz{\' u}rov{\' a}, W. and Hrab{\' a}k, P.},
journal = {Lecture Notes in Computer Science},
year = {2012},
volume = {2012},
number = {7382},
pages = {138--141}
}
title = {{Blind Friendly LaTeX}},
author = {Gonz{\' u}rov{\' a}, W. and Hrab{\' a}k, P.},
journal = {Lecture Notes in Computer Science},
year = {2012},
volume = {2012},
number = {7382},
pages = {138--141}
}
Hrabák, P. and Bukáček, M. and Krbálek, M., Cellular Model of Room Evacuation Based on Occupancy and Movement Prediction, Lecture Notes in Computer Science 2012 (2012) , 709-718
BiBTeX
BiBTeX
@ARTICLE{Hrabak12:194,
title = {{Cellular Model of Room Evacuation Based on Occupancy and Movement Prediction}},
author = {Hrab{\' a}k, P. and Buk{\' a}{\v c}ek, M. and Krb{\' a}lek, M.},
journal = {Lecture Notes in Computer Science},
year = {2012},
volume = {2012},
number = {7495},
pages = {709--718}
}
title = {{Cellular Model of Room Evacuation Based on Occupancy and Movement Prediction}},
author = {Hrab{\' a}k, P. and Buk{\' a}{\v c}ek, M. and Krb{\' a}lek, M.},
journal = {Lecture Notes in Computer Science},
year = {2012},
volume = {2012},
number = {7495},
pages = {709--718}
}
2011
Hrabák, P. and Krbálek, M., Distance- and Time-headway Distribution for Totally Asymmetric Simple Exclusion Process, Procedia - Social and Behavioral Sciences 2011 (2011) , 406-416
BiBTeX
BiBTeX
@ARTICLE{Hrabak11:186,
title = {{Distance- and Time-headway Distribution for Totally Asymmetric Simple Exclusion Process}},
author = {Hrab{\' a}k, P. and Krb{\' a}lek, M.},
journal = {Procedia - Social and Behavioral Sciences},
year = {2011},
volume = {2011},
number = {20},
pages = {406--416}
}
title = {{Distance- and Time-headway Distribution for Totally Asymmetric Simple Exclusion Process}},
author = {Hrab{\' a}k, P. and Krb{\' a}lek, M.},
journal = {Procedia - Social and Behavioral Sciences},
year = {2011},
volume = {2011},
number = {20},
pages = {406--416}
}
Krbálek, M. and Hrabák, P., Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries, Journal of Physics A: Mathematical and General 44 (2011) , 175203-175224
BiBTeX
BiBTeX
@ARTICLE{Krbalek11:17,
title = {{Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries}},
author = {Krb{\' a}lek, M. and Hrab{\' a}k, P.},
journal = {Journal of Physics A: Mathematical and General},
year = {2011},
volume = {44},
number = {17},
pages = {175203--175224}
}
title = {{Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries}},
author = {Krb{\' a}lek, M. and Hrab{\' a}k, P.},
journal = {Journal of Physics A: Mathematical and General},
year = {2011},
volume = {44},
number = {17},
pages = {175203--175224}
}
Contributions in proceedings
Hrabák, P., Analysis of Microstruture of the Totally Asymmetric Simple Exclusion Process with Respect to Traffic Flow Modeling, Doktorandské dny 2011, (2011) , 75-77, Česká technika - nakladatelství ČVUT
BiBTeX
BiBTeX
@INPROCEEDINGS{Hrabak11:186,
title = {{Analysis of Microstruture of the Totally Asymmetric Simple Exclusion Process with Respect to Traffic Flow Modeling}},
author = {Hrab{\' a}k, P.},
address = {Praha},
booktitle = {{Doktorandsk{\' e} dny 2011}},
publisher = {{\v C}esk{\' a} technika - nakladatelstv{\'\i} {\v C}VUT},
year = {2011},
pages = {75--77}
}
title = {{Analysis of Microstruture of the Totally Asymmetric Simple Exclusion Process with Respect to Traffic Flow Modeling}},
author = {Hrab{\' a}k, P.},
address = {Praha},
booktitle = {{Doktorandsk{\' e} dny 2011}},
publisher = {{\v C}esk{\' a} technika - nakladatelstv{\'\i} {\v C}VUT},
year = {2011},
pages = {75--77}
}
Hrabák, P., The Totally Asymmetric Exclusion Process in Two-Dimensional Finite Lattice, Comparison of Density Profiles, Mathematical Results in Quantum Physics: Proceedings of the QMath11 Conference, (2011) , 265, World Scientific Publishing, Ltd.
BiBTeX
BiBTeX
@INPROCEEDINGS{Hrabak11:182,
title = {{The Totally Asymmetric Exclusion Process in Two-Dimensional Finite Lattice, Comparison of Density Profiles}},
author = {Hrab{\' a}k, P.},
address = {Singapore},
booktitle = {{Mathematical Results in Quantum Physics: Proceedings of the QMath11 Conference}},
publisher = {World Scientific Publishing, Ltd.},
year = {2011},
pages = {265}
}
title = {{The Totally Asymmetric Exclusion Process in Two-Dimensional Finite Lattice, Comparison of Density Profiles}},
author = {Hrab{\' a}k, P.},
address = {Singapore},
booktitle = {{Mathematical Results in Quantum Physics: Proceedings of the QMath11 Conference}},
publisher = {World Scientific Publishing, Ltd.},
year = {2011},
pages = {265}
}
Hrabák, P., Time-headway distribution of Totally Asymmetric Exclusion Process with Nearest-Particle Interaction, SPMS 2011 Stochastic and Physical Monitoring Systems - Proceedings, (2011) , 77-84, ČVUT, Fakulta jaderná a fyzikálně inženýrská
BiBTeX
BiBTeX
@INPROCEEDINGS{Hrabak11:187,
title = {{Time-headway distribution of Totally Asymmetric Exclusion Process with Nearest-Particle Interaction}},
author = {Hrab{\' a}k, P.},
address = {Praha},
booktitle = {{SPMS 2011 Stochastic and Physical Monitoring Systems - Proceedings}},
publisher = {{\v C}VUT, Fakulta jadern{\' a} a fyzik{\' a}ln{\v e} in{\v z}en{\' y}rsk{\' a}},
year = {2011},
pages = {77--84}
}
title = {{Time-headway distribution of Totally Asymmetric Exclusion Process with Nearest-Particle Interaction}},
author = {Hrab{\' a}k, P.},
address = {Praha},
booktitle = {{SPMS 2011 Stochastic and Physical Monitoring Systems - Proceedings}},
publisher = {{\v C}VUT, Fakulta jadern{\' a} a fyzik{\' a}ln{\v e} in{\v z}en{\' y}rsk{\' a}},
year = {2011},
pages = {77--84}
}
2010
Hrabák, P., The Totally Asymmetric Simple Exclusion Process in Two-Dimensional Finite Lattice - Comparison of Density Profiles, SPMS 2010 Stochastic and Physical Monitoring Systems, (2010) , 91-100, CTU
BiBTeX
BiBTeX
@INPROCEEDINGS{Hrabak10:175,
title = {{The Totally Asymmetric Simple Exclusion Process in Two-Dimensional Finite Lattice - Comparison of Density Profiles}},
author = {Hrab{\' a}k, P.},
address = {Prague},
booktitle = {{SPMS 2010 Stochastic and Physical Monitoring Systems}},
publisher = {CTU},
year = {2010},
pages = {91--100}
}
title = {{The Totally Asymmetric Simple Exclusion Process in Two-Dimensional Finite Lattice - Comparison of Density Profiles}},
author = {Hrab{\' a}k, P.},
address = {Prague},
booktitle = {{SPMS 2010 Stochastic and Physical Monitoring Systems}},
publisher = {CTU},
year = {2010},
pages = {91--100}
}
Others
Hrabák, P., Asymetrický jednoduchý vylučovací proces, řešení a modifikace, České vysoké učení technické v Praze, Fakulta jaderná a fyzikálně inženýrská, 2010
BiBTeX
BiBTeX
@MASTERTHESIS{Hrabak10:176,
title = {{Asymetrick{\' y} jednoduch{\' y} vylu{\v c}ovac{\'\i} proces, {\v r}e{\v s}en{\'\i} a modifikace}},
author = {Hrab{\' a}k, P.},
address = {Praha},
year = {2010},
pages = {67},
school = {{\v C}esk{\' e} vysok{\' e} u{\v c}en{\'\i} technick{\' e} v Praze, Fakulta jadern{\' a} a fyzik{\' a}ln{\v e} in{\v z}en{\' y}rsk{\' a}}
}
title = {{Asymetrick{\' y} jednoduch{\' y} vylu{\v c}ovac{\'\i} proces, {\v r}e{\v s}en{\'\i} a modifikace}},
author = {Hrab{\' a}k, P.},
address = {Praha},
year = {2010},
pages = {67},
school = {{\v C}esk{\' e} vysok{\' e} u{\v c}en{\'\i} technick{\' e} v Praze, Fakulta jadern{\' a} a fyzik{\' a}ln{\v e} in{\v z}en{\' y}rsk{\' a}}
}
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Radek Fučík | last update: 08/07/2011