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Publications

Publications by Rudolf Hanel

2024

  • Lee E., Kwan A., Hanel R., Bhatt A., Neffke F.
    Information Consumption and Firm Size.
    Royal Society Open Science 11(11):240027, (2024) [bib]
    
    @ARTICLE{lee2024icfs240027,
      author = {Lee, E.~ and Kwan, A.~ and Hanel, R.~ and Bhatt, A.~ and Neffke, F.~},
      title = {Information Consumption and Firm Size.},
      journal = {Royal Society Open Science},
      year = {2024},
      volume = {11},
      number = {11},
      pages = {240027},
      issn = {2054-5703},
      doi = {10.1098/rsos.240027}
    }
  • Corominas-Murtra B., Hanel R., Jizba P.
    Typicality, Entropy and the Generalization of Statistical Mechanics.
    European Physical Journal B 97(8):129, (2024) [bib]
    
    @ARTICLE{corominasmurtra2024tegs129,
      author = {Corominas-Murtra, B.~ and Hanel, R.~ and Jizba, P.~},
      title = {Typicality, Entropy and the Generalization of Statistical Mechanics.},
      journal = {European Physical Journal B},
      year = {2024},
      volume = {97},
      number = {8},
      pages = {129},
      doi = {10.1140/epjb/s10051-024-00764-7},
      url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85202831141\&doi=10.1140%2fepjb%2fs10051-024-00764-7\&partnerID=40\&md5=df47ecd2898ec220cac889e2641d0311}
    }

2023

  • Hanel R., Thurner S.
    Equivalence of Information Production and Generalised Entropies in Complex Processes.
    PLoS One 18(9):e0290695, (2023) [bib]
    
    @ARTICLE{hanel2023eipge0290695,
      author = {Hanel, R.~ and Thurner, S.~},
      title = {Equivalence of Information Production and Generalised Entropies in Complex Processes.},
      journal = {PLoS One},
      year = {2023},
      volume = {18},
      number = {9},
      pages = {e0290695},
      doi = {10.1371/journal.pone.0290695},
      url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85169998586\&doi=10.1371%2fjournal.pone.0290695\&partnerID=40\&md5=25a781913bdfe34872df426bb05397a7}
    }
  • Hanel R., Corominas-Murtra B.
    The Typical Set and Entropy in Stochastic Systems with Arbitrary Phase Space Growth.
    Entropy 25(2):350, (2023) [bib]
    
    @ARTICLE{hanel2023tses350,
      author = {Hanel, R.~ and Corominas-Murtra, B.~},
      title = {The Typical Set and Entropy in Stochastic Systems with Arbitrary Phase Space Growth.},
      journal = {Entropy},
      year = {2023},
      volume = {25},
      number = {2},
      pages = {350},
      issn = {1099-4300},
      doi = {10.3390/e25020350},
      keywords = {entropy;asymptotic equipartition property;extensivity;non-exponential phase space growth;typical set}
    }
  • Korbel J., Lindner S.D., Pham T.M., Hanel R., Thurner S.
    Homophily-Based Social Group Formation in a Spin Glass Self-Assembly Framework.
    Physical Review Letters 130(5):057401, (2023) [bib]
    
    @ARTICLE{korbel2023hsgf057401,
      author = {Korbel, J.~ and Lindner, S.D.~ and Pham, T.M.~ and Hanel, R.~ and Thurner, S.~},
      title = {Homophily-Based Social Group Formation in a Spin Glass Self-Assembly Framework.},
      journal = {Physical Review Letters},
      year = {2023},
      volume = {130},
      number = {5},
      pages = {057401},
      doi = {10.1103/PhysRevLett.130.057401},
      url = {https://link.aps.org/doi/10.1103/PhysRevLett.130.057401}
    }
  • Thurner S., Korbel J., Hanel R.
    Energy Distribution of Inelastic Gas in a Box Is Dominated by a Power Law—a Derivation in the Framework of Sample Space Reducing Processes.
    New Journal of Physics 25(1):013014, (2023) [bib]
    
    @ARTICLE{thurner2023edig013014,
      author = {Thurner, S.~ and Korbel, J.~ and Hanel, R.~},
      title = {Energy Distribution of Inelastic Gas in a Box Is Dominated by a Power Law—a Derivation in the Framework of Sample Space Reducing Processes.},
      journal = {New Journal of Physics},
      year = {2023},
      volume = {25},
      number = {1},
      pages = {013014},
      doi = {10.1088/1367-2630/acaf15},
      url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85146876139\&doi=10.1088%2f1367-2630%2facaf15\&partnerID=40\&md5=e68f1ce8e49d33208137f2af14bb7326}
    }

2022

  • Basilio J., Hochreiter B., Hoesel B., Sheshori E., Mussbacher M., Hanel R., Schmid J.
    Antagonistic Functions of Androgen Receptor and NF-κB in Prostate Cancer-Experimental and Computational Analyses.
    Cancers 14(24):6164, (2022) [bib]
    
    @ARTICLE{basilio2022afar6164,
      author = {Basilio, J.~ and Hochreiter, B.~ and Hoesel, B.~ and Sheshori, E.~ and Mussbacher, M.~ and Hanel, R.~ and Schmid, J.~},
      title = {Antagonistic Functions of Androgen Receptor and NF-κB in Prostate Cancer-Experimental and Computational Analyses.},
      journal = {Cancers},
      year = {2022},
      volume = {14},
      number = {24},
      pages = {6164},
      issn = {2072-6694},
      doi = {10.3390/cancers14246164}
    }
  • Pham T.M., Korbel J., Hanel R., Thurner S.
    Empirical Social Triad Statistics Can Be Explained with Dyadic Homophylic Interactions.
    Proceedings of the National Academy of Sciences of the United States of America 119(6):e2121103119, (2022) [bib]
    
    @ARTICLE{pham2022estse2121103119,
      author = {Pham, T.M.~ and Korbel, J.~ and Hanel, R.~ and Thurner, S.~},
      title = {Empirical Social Triad Statistics Can Be Explained with Dyadic Homophylic Interactions.},
      journal = {Proceedings of the National Academy of Sciences of the United States of America},
      year = {2022},
      volume = {119},
      number = {6},
      pages = {e2121103119},
      issn = {1091-6490 0027-8424},
      doi = {10.1073/pnas.2121103119},
      keywords = {signed networks;social balance;social stability}
    }

2021

  • Pham T., Alexander A., Korbel J., Hanel R., Thurner S.
    Balance and Fragmentation in Societies with Homophily and Social Balance.
    Scientific Reports 11:17188, (2021) [bib]
    
    @ARTICLE{pham2021bfsw17188,
      author = {Pham, T.~ and Alexander, A.~ and Korbel, J.~ and Hanel, R.~ and Thurner, S.~},
      title = {Balance and Fragmentation in Societies with Homophily and Social Balance.},
      journal = {Scientific Reports},
      year = {2021},
      volume = {11},
      pages = {17188},
      issn = {2045-2322},
      doi = {10.1038/s41598-021-96065-5}
    }
  • Thurner S., Klimek P., Hanel R.
    Reply to Kuśmierz and Toyoizumi: A Network-Based Explanation of Why Most Covid-19 Infection Curves Are Linear.
    Proceedings of the National Academy of Sciences of the United States of America 118(10):e2100906118, (2021) [bib]
    
    @ARTICLE{thurner2021rtkte2100906118,
      author = {Thurner, S.~ and Klimek, P.~ and Hanel, R.~},
      title = {Reply to Kuśmierz and Toyoizumi: A Network-Based Explanation of Why Most Covid-19 Infection Curves Are Linear.},
      journal = {Proceedings of the National Academy of Sciences of the United States of America},
      year = {2021},
      volume = {118},
      number = {10},
      pages = {e2100906118},
      issn = {1091-6490 0027-8424},
      doi = {10.1073/pnas.2100906118}
    }
  • Korbel J., Lindner S.D., Hanel R., Thurner S.
    Thermodynamics of Structure-Forming Systems.
    Nature Communications 12:1127, (2021) [bib]
    
    @ARTICLE{korbel2021tss1127,
      author = {Korbel, J.~ and Lindner, S.D.~ and Hanel, R.~ and Thurner, S.~},
      title = {Thermodynamics of Structure-Forming Systems.},
      journal = {Nature Communications},
      year = {2021},
      volume = {12},
      pages = {1127},
      issn = {2041-1723},
      doi = {10.1038/s41467-021-21272-7}
    }

2020

  • Hanel R., Thurner S.
    Boosting Test-Efficiency by Pooled Testing for SARS-CoV-2—Formula for Optimal Pool Size.
    PLoS One 15(11):e0240652, (2020) [bib]
    
    @ARTICLE{hanel2020btbpe0240652,
      author = {Hanel, R.~ and Thurner, S.~},
      title = {Boosting Test-Efficiency by Pooled Testing for SARS-CoV-2—Formula for Optimal Pool Size.},
      journal = {PLoS One},
      year = {2020},
      volume = {15},
      number = {11},
      pages = {e0240652},
      doi = {10.1371/journal.pone.0240652},
      url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85095675557\&doi=10.1371%2fjournal.pone.0240652\&partnerID=40\&md5=ca7a0fdbde37126e7063b15e30eeedac}
    }
  • Pham T.M., Kondor I., Hanel R., Thurner S.
    The Effect of Social Balance on Social Fragmentation.
    Journal of the Royal Society, Interface 17(172):20200752, (2020) [bib]
    
    @ARTICLE{pham2020esbs20200752,
      author = {Pham, T.M.~ and Kondor, I.~ and Hanel, R.~ and Thurner, S.~},
      title = {The Effect of Social Balance on Social Fragmentation.},
      journal = {Journal of the Royal Society, Interface},
      year = {2020},
      volume = {17},
      number = {172},
      pages = {20200752},
      doi = {10.1098/rsif.2020.0752},
      url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85096348791\&doi=10.1098%2frsif.2020.0752\&partnerID=40\&md5=a7fcd53f6d919613667206164cbcb3c8}
    }
  • Hanel R., Thurner S.
    The Role of Grammar in Transition-Probabilities of Subsequent Words in English Text.
    PLoS One 15(10):e0240018, (2020) [bib]
    
    @ARTICLE{hanel2020rgtse0240018,
      author = {Hanel, R.~ and Thurner, S.~},
      title = {The Role of Grammar in Transition-Probabilities of Subsequent Words in English Text.},
      journal = {PLoS One},
      year = {2020},
      volume = {15},
      number = {10},
      pages = {e0240018},
      doi = {10.1371/journal.pone.0240018},
      url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85092606701\&doi=10.1371%2fjournal.pone.0240018\&partnerID=40\&md5=1a6f1c6c7c86ee441c46cefd208d63cd}
    }
  • Thurner S., Klimek P., Hanel R.
    A Network-Based Explanation of Why Most COVID-19 Infection Curves Are Linear.
    Proceedings of the National Academy of Sciences of the United States of America 117(37), 22684–22689, (2020) [bib]
    
    @ARTICLE{thurner2020anew2268422689,
      author = {Thurner, S.~ and Klimek, P.~ and Hanel, R.~},
      title = {A Network-Based Explanation of Why Most COVID-19 Infection Curves Are Linear.},
      journal = {Proceedings of the National Academy of Sciences of the United States of America},
      year = {2020},
      volume = {117},
      number = {37},
      pages = {22684--22689},
      issn = {1091-6490 0027-8424 0027-8424},
      doi = {10.1073/pnas.2010398117},
      keywords = {Humans;*Models;Statistical;*COVID-19;Pandemics/prevention \& control;*compartmental epidemiological model;*mean-field (well mixed) approximation;*network theory;*social contact networks;Basic Reproduction Number;Coronavirus Infections/*epidemiology/prevention \& control/transmission;Pneumonia;Viral/*epidemiology/prevention \& control/transmission;Quarantine/statistics \& numerical data}
    }
  • Hanel R., Jizba P.
    Time-Energy Uncertainty Principle for Irreversible Heat Engines.
    Philosophical Transactions of the Royal Society. Series A, Mathematical, Physical, and Engineering Sciences 378(2170):20190171, (2020) [bib]
    
    @ARTICLE{hanel2020tupi20190171,
      author = {Hanel, R.~ and Jizba, P.~},
      title = {Time-Energy Uncertainty Principle for Irreversible Heat Engines.},
      journal = {Philosophical Transactions of the Royal Society. Series A, Mathematical, Physical, and Engineering Sciences},
      year = {2020},
      volume = {378},
      number = {2170},
      pages = {20190171},
      issn = {1471-2962 1364-503X 1364-503X},
      doi = {10.1098/rsta.2019.0171},
      keywords = {statistical mechanics;gas kinetics;irreversible processes;uncertainty relations}
    }
  • Korbel J., Hanel R., Thurner S.
    Information Geometry of Scaling Expansions of Non-Exponentially Growing Configuration Spaces.
    European Physical Journal Special Topics 229(5), 787–807, (2020) [bib]
    
    @ARTICLE{korbel2020igse787807,
      author = {Korbel, J.~ and Hanel, R.~ and Thurner, S.~},
      title = {Information Geometry of Scaling Expansions of Non-Exponentially Growing Configuration Spaces.},
      journal = {European Physical Journal Special Topics},
      year = {2020},
      volume = {229},
      number = {5},
      pages = {787--807},
      issn = {1951-6401},
      doi = {10.1140/epjst/e2020-900190-x},
      url = {https://doi.org/10.1140/epjst/e2020-900190-x}
    }

2019

  • Korbel J., Hanel R., Thurner S.
    Information Geometric Duality of Φ-Deformed Exponential Families.
    Entropy 21(2):112, (2019) [bib]
    
    @ARTICLE{korbel2019igdd112,
      author = {Korbel, J.~ and Hanel, R.~ and Thurner, S.~},
      title = {Information Geometric Duality of Φ-Deformed Exponential Families.},
      journal = {Entropy},
      year = {2019},
      volume = {21},
      number = {2},
      pages = {112},
      issn = {1099-4300},
      doi = {10.3390/e21020112}
    }

2018

  • Hanel R., Thurner S.
    Maximum Configuration Principle for Driven Systems with Arbitrary Driving.
    Entropy 20(11):838, (2018) [bib]
    
    @ARTICLE{hanel2018mcpd838,
      author = {Hanel, R.~ and Thurner, S.~},
      title = {Maximum Configuration Principle for Driven Systems with Arbitrary Driving.},
      journal = {Entropy},
      year = {2018},
      volume = {20},
      number = {11},
      pages = {838},
      doi = {10.3390/e20110838},
      keywords = {driven systems;maximum configuration;maximum entropy principle;non-equilibrium;statistical mechanics}
    }
  • Korbel J., Hanel R., Thurner S.
    Classification of Complex Systems by Their Sample-Space Scaling Exponents.
    New Journal of Physics 20:093007, (2018) [bib]
    
    @ARTICLE{korbel2018ccsb093007,
      author = {Korbel, J.~ and Hanel, R.~ and Thurner, S.~},
      title = {Classification of Complex Systems by Their Sample-Space Scaling Exponents.},
      journal = {New Journal of Physics},
      year = {2018},
      volume = {20},
      pages = {093007},
      issn = {1367-2630},
      doi = {10.1088/1367-2630/aadcbe},
      keywords = {complex systems;extensive entropy;heat;sample space;scaling expansion;super-exponential systems}
    }
  • Corominas-Murtra B., Hanel R., Zavojanni L., Thurner S.
    How Driving Rates Determine the Statistics of Driven Non-Equilibrium Systems with Stationary Distributions.
    Scientific Reports 8:10837, (2018) [bib]
    
    @ARTICLE{corominasmurtra2018hdrd10837,
      author = {Corominas-Murtra, B.~ and Hanel, R.~ and Zavojanni, L.~ and Thurner, S.~},
      title = {How Driving Rates Determine the Statistics of Driven Non-Equilibrium Systems with Stationary Distributions.},
      journal = {Scientific Reports},
      year = {2018},
      volume = {8},
      pages = {10837},
      issn = {2045-2322},
      doi = {10.1038/s41598-018-28962-1},
      keywords = {explanation;zipfs law}
    }

2017

  • Sabloff P.L.W., Thurner S., Hanel R., Youn H.
    Demographics and Democracy: A Network Analysis of Mongolians’ Political Cognition.
    Journal of Anthropological Research 73(4), 617–646, (2017) [bib]
    
    @ARTICLE{sabloff2017ddan617646,
      author = {Sabloff, P.L.W.~ and Thurner, S.~ and Hanel, R.~ and Youn, H.~},
      title = {Demographics and Democracy: A Network Analysis of Mongolians’ Political Cognition.},
      journal = {Journal of Anthropological Research},
      year = {2017},
      volume = {73},
      number = {4},
      pages = {617--646},
      issn = {0091-7710},
      url = {https://www.journals.uchicago.edu/toc/jar/2017/73/4},
      keywords = {bourdieu;Bourdieu;democracy;demography;health;Mongolia;network analysis;political cognition;social space}
    }
  • Thurner S., Corominas-Murtra B., Hanel R.
    Three Faces of Entropy for Complex Systems: Information, Thermodynamics, and the Maximum Entropy Principle.
    Physical Review E 96(3):032124, (2017) [bib]
    
    @ARTICLE{thurner2017tfec032124,
      author = {Thurner, S.~ and Corominas-Murtra, B.~ and Hanel, R.~},
      title = {Three Faces of Entropy for Complex Systems: Information, Thermodynamics, and the Maximum Entropy Principle.},
      journal = {Physical Review E},
      year = {2017},
      volume = {96},
      number = {3},
      pages = {032124},
      issn = {2470-0045},
      doi = {10.1103/PhysRevE.96.032124}
    }
  • Corominas-Murtra B., Hanel R., Thurner S.
    Sample Space Reducing Cascading Processes Produce the Full Spectrum of Scaling Exponents.
    Scientific Reports 7:11223, (2017) [bib]
    
    @ARTICLE{corominasmurtra2017ssrc11223,
      author = {Corominas-Murtra, B.~ and Hanel, R.~ and Thurner, S.~},
      title = {Sample Space Reducing Cascading Processes Produce the Full Spectrum of Scaling Exponents.},
      journal = {Scientific Reports},
      year = {2017},
      volume = {7},
      pages = {11223},
      issn = {2045-2322},
      doi = {10.1038/s41598-017-09836-4},
      keywords = {evolution;avalanche dynamics;self-organized criticality}
    }
  • Hanel R., Corominas-Murtra B., Thurner S.
    Understanding Frequency Distributions of Path-Dependent Processes with Non-Multinomial Maximum Entropy Approaches.
    New Journal of Physics 19:033008, (2017) [bib]
    
    @ARTICLE{hanel2017ufdp033008,
      author = {Hanel, R.~ and Corominas-Murtra, B.~ and Thurner, S.~},
      title = {Understanding Frequency Distributions of Path-Dependent Processes with Non-Multinomial Maximum Entropy Approaches.},
      journal = {New Journal of Physics},
      year = {2017},
      volume = {19},
      pages = {033008},
      issn = {1367-2630},
      doi = {10.1088/1367-2630/aa611d},
      keywords = {models;maximum entropy principle;statistical mechanics;central limit-theorems;ewens sampling formula;generalized polya urn;information divergence;Polya urn processes;relative entropy}
    }
  • Hanel R., Corominas-Murtra B., Liu B., Thurner S.
    Fitting Power-Laws in Empirical Data with Estimators That Work for All Exponents.
    PLoS One 12(2):e0170920, (2017)
    [Erratum: Hanel R., Corominas-Murtra B., Liu B., Thurner S. Correction: Fitting Power-Laws in Empirical Data with Estimators That Work for All Exponents. PLoS One 13(4):e0196807, (2018)] [bib]
    
    @ARTICLE{hanel2017fpede0170920,
      author = {Hanel, R.~ and Corominas-Murtra, B.~ and Liu, B.~ and Thurner, S.~},
      title = {Fitting Power-Laws in Empirical Data with Estimators That Work for All Exponents.},
      journal = {PLoS One},
      year = {2017},
      volume = {12},
      number = {2},
      pages = {e0170920},
      note = {
    [Erratum: Hanel R., Corominas-Murtra B., Liu B., Thurner S. Correction: Fitting Power-Laws in Empirical Data with Estimators That Work for All Exponents. PLoS One 13(4):e0196807, (2018)]}, issn = {1932-6203}, doi = {10.1371/journal.pone.0170920}, keywords = {distributions;self-organized criticality} }

2016

  • Corominas-Murtra B., Hanel R., Thurner S.
    Extreme Robustness of Scaling in Sample Space Reducing Processes Explains Zipf’s Law in Diffusion on Directed Networks.
    New Journal of Physics 18:093010, (2016) [bib]
    
    @ARTICLE{corominasmurtra2016erss093010,
      author = {Corominas-Murtra, B.~ and Hanel, R.~ and Thurner, S.~},
      title = {Extreme Robustness of Scaling in Sample Space Reducing Processes Explains Zipf’s Law in Diffusion on Directed Networks.},
      journal = {New Journal of Physics},
      year = {2016},
      volume = {18},
      pages = {093010},
      issn = {1367-2630},
      doi = {10.1088/1367-2630/18/9/093010},
      keywords = {explanation;determines entropy;network diffusion;path dependence;phase;random walks;sample space reducing processes;scaling laws;Zipf´s law}
    }
  • Hanel R.
    Matrix Multinomial Systems with Finite Syntax.
    In Méndez Muñoz V., Gusikhin O., Chang V. (Eds.) Proceedings of the 1st International Conference on Complex Information Systems (COMPLEXIS 2016), Rome, Italy, 22–24 April 2016, SciTePress, Setúbal, 26–31, (2016) [bib]
    
    @INCOLLECTION{hanel2016mmsw2631,
      author = {Hanel, R.~},
      title = {Matrix Multinomial Systems with Finite Syntax.},
      booktitle = {Proceedings of the 1st International Conference on Complex Information Systems (COMPLEXIS 2016), Rome, Italy, 22–24 April 2016},
      publisher = {SciTePress},
      year = {2016},
      editor = {Méndez Muñoz,V.;Gusikhin,O.;Chang,V.},
      pages = {26--31},
      address = {Setúbal},
      doi = {10.5220/0005877100260031},
      url = {doi.org/10.5220/0005877100260031},
      keywords = {Complex Processes;Decidability;Oslo Sand-pile Model;Phase-space Growth}
    }

2015

  • Thurner S., Hanel R., Liu B., Corominas-Murtra B.
    Understanding Zipf’s Law of Word Frequencies through Sample-Space Collapse in Sentence Formation.
    Journal of the Royal Society, Interface 12(108):20150330, (2015) [bib]
    
    @ARTICLE{thurner2015uzlw20150330,
      author = {Thurner, S.~ and Hanel, R.~ and Liu, B.~ and Corominas-Murtra, B.~},
      title = {Understanding Zipf’s Law of Word Frequencies through Sample-Space Collapse in Sentence Formation.},
      journal = {Journal of the Royal Society, Interface},
      year = {2015},
      volume = {12},
      number = {108},
      pages = {20150330},
      issn = {1742-5662 1742-5689 1742-5662},
      doi = {10.1098/rsif.2015.0330},
      keywords = {Humans;*Models;Theoretical;*Language;*Books;language formation;random walks on networks;scaling in stochastic processes;word-transition networks}
    }
  • Corominas-Murtra B., Hanel R., Thurner S.
    Understanding Scaling through History-Dependent Processes with Collapsing Sample Space.
    Proceedings of the National Academy of Sciences of the United States of America 112(17), 5348–5353, (2015) [bib]
    
    @ARTICLE{corominasmurtra2015usth53485353,
      author = {Corominas-Murtra, B.~ and Hanel, R.~ and Thurner, S.~},
      title = {Understanding Scaling through History-Dependent Processes with Collapsing Sample Space.},
      journal = {Proceedings of the National Academy of Sciences of the United States of America},
      year = {2015},
      volume = {112},
      number = {17},
      pages = {5348--5353},
      issn = {1091-6490 0027-8424 0027-8424},
      doi = {10.1073/pnas.1420946112},
      keywords = {network diffusion;path dependence;random walks;scaling laws;Zipf’s law}
    }

2014

  • Hanel R., Thurner S., Gell-Mann M.
    How Multiplicity Determines Entropy and the Derivation of the Maximum Entropy Principle for Complex Systems.
    Proceedings of the National Academy of Sciences of the United States of America 111(19), 6905–6910, (2014) [bib]
    
    @ARTICLE{hanel2014hmde69056910,
      author = {Hanel, R.~ and Thurner, S.~ and Gell-Mann, M.~},
      title = {How Multiplicity Determines Entropy and the Derivation of the Maximum Entropy Principle for Complex Systems.},
      journal = {Proceedings of the National Academy of Sciences of the United States of America},
      year = {2014},
      volume = {111},
      number = {19},
      pages = {6905--6910},
      issn = {1091-6490 0027-8424 0027-8424},
      doi = {10.1073/pnas.1406071111},
      keywords = {*Models;Statistical;driven systems;*Entropy;*Information Theory;*Systems Theory;*Thermodynamics;Ecosystem;out-of-equilibrium process;Physics/methods;random walk;thermodynamics}
    }

2013

  • Hanel R., Thurner S.
    Generalized (c,d)-Entropy and Aging Randomwalks.
    Entropy 15(12), 5324–5337, (2013) [bib]
    
    @ARTICLE{hanel2013gcar53245337,
      author = {Hanel, R.~ and Thurner, S.~},
      title = {Generalized (c,d)-Entropy and Aging Randomwalks.},
      journal = {Entropy},
      year = {2013},
      volume = {15},
      number = {12},
      pages = {5324--5337},
      doi = {10.3390/e15125324},
      url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84891686832\&doi=10.3390%2fe15125324\&partnerID=40\&md5=b12afae11de05fa3901d444742e2226f}
    }
  • Tateishi A.A., Hanel R., Thurner S.
    The Transformation Groupoid Structure of the Q-Gaussian Family.
    Physics Letters, Section A: General, Atomic and Solid State Physics 377(31-33), 1804–1809, (2013) [bib]
    
    @ARTICLE{tateishi2013tgsq18041809,
      author = {Tateishi, A.A.~ and Hanel, R.~ and Thurner, S.~},
      title = {The Transformation Groupoid Structure of the Q-Gaussian Family.},
      journal = {Physics Letters, Section A: General, Atomic and Solid State Physics},
      year = {2013},
      volume = {377},
      number = {31-33},
      pages = {1804--1809},
      doi = {10.1016/j.physleta.2013.05.028},
      url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84878886684\&doi=10.1016%2fj.physleta.2013.05.028\&partnerID=40\&md5=b8734f04f8674517d14a3296900907c5}
    }
  • Schölling M., Thurner S., Hanel R.
    Protein Complex Formation: Computational Clarification of the Sequential versus Probabilistic Recruitment Puzzle.
    PLoS One 8(2):e55046, (2013) [bib]
    
    @ARTICLE{schoelling2013pcfce55046,
      author = {Sch{\"o}lling, M.~ and Thurner, S.~ and Hanel, R.~},
      title = {Protein Complex Formation: Computational Clarification of the Sequential versus Probabilistic Recruitment Puzzle.},
      journal = {PLoS One},
      year = {2013},
      volume = {8},
      number = {2},
      pages = {e55046},
      issn = {1932-6203 1932-6203},
      doi = {10.1371/journal.pone.0055046},
      keywords = {*Models;Biological;Probability;Computational Biology/*methods;Proteins/*metabolism;Chromatin Immunoprecipitation/methods;Green Fluorescent Proteins;Multiprotein Complexes/*biosynthesis;Promoter Regions;Genetic/genetics}
    }

2012

  • Hanel R., Thurner S., Gell-Mann M.
    Generalized Entropies and Logarithms and Their Duality Relations.
    Proceedings of the National Academy of Sciences of the United States of America 109(47), 19151–19154, (2012) [bib]
    
    @ARTICLE{hanel2012gelt1915119154,
      author = {Hanel, R.~ and Thurner, S.~ and Gell-Mann, M.~},
      title = {Generalized Entropies and Logarithms and Their Duality Relations.},
      journal = {Proceedings of the National Academy of Sciences of the United States of America},
      year = {2012},
      volume = {109},
      number = {47},
      pages = {19151--19154},
      issn = {1091-6490 0027-8424 0027-8424},
      doi = {10.1073/pnas.1216885109}
    }
  • Klimek P., Yegorov Y., Hanel R., Thurner S.
    Statistical Detection of Systematic Election Irregularities.
    Proceedings of the National Academy of Sciences of the United States of America 109(41), 16469–16473, (2012) [bib]
    
    @ARTICLE{klimek2012sdse1646916473,
      author = {Klimek, P.~ and Yegorov, Y.~ and Hanel, R.~ and Thurner, S.~},
      title = {Statistical Detection of Systematic Election Irregularities.},
      journal = {Proceedings of the National Academy of Sciences of the United States of America},
      year = {2012},
      volume = {109},
      number = {41},
      pages = {16469--16473},
      issn = {1091-6490 0027-8424 0027-8424},
      doi = {10.1073/pnas.1210722109},
      keywords = {Humans;*Algorithms;Reproducibility of Results;*Models;Statistical;*Politics;Choice Behavior;Civil Rights/standards/*statistics \& numerical data;Public Opinion;Public Policy}
    }
  • Hanel R., Pöchacker M., Schölling M., Thurner S.
    A Self-Organized Model for Cell-Differentiation Based on Variations of Molecular Decay Rates.
    PLoS One 7(5):e36679, (2012) [bib]
    
    @ARTICLE{hanel2012asmce36679,
      author = {Hanel, R.~ and P{\"o}chacker, M.~ and Sch{\"o}lling, M.~ and Thurner, S.~},
      title = {A Self-Organized Model for Cell-Differentiation Based on Variations of Molecular Decay Rates.},
      journal = {PLoS One},
      year = {2012},
      volume = {7},
      number = {5},
      pages = {e36679},
      issn = {1932-6203 1932-6203},
      doi = {10.1371/journal.pone.0036679},
      keywords = {*Models;Biological;Kinetics;Homeostasis;Periodicity;Nonlinear Dynamics;*Cell Differentiation/genetics;Gene Regulatory Networks}
    }

2011

  • Hanel R., Thurner S.
    When Do Generalized Entropies Apply? How Phase Space Volume Determines Entropy.
    Europhysics Letters 96(5):50003, (2011) [bib]
    
    @ARTICLE{hanel2011wdge50003,
      author = {Hanel, R.~ and Thurner, S.~},
      title = {When Do Generalized Entropies Apply? How Phase Space Volume Determines Entropy.},
      journal = {Europhysics Letters},
      year = {2011},
      volume = {96},
      number = {5},
      pages = {50003},
      doi = {10.1209/0295-5075/96/50003},
      url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-82355161498\&doi=10.1209%2f0295-5075%2f96%2f50003\&partnerID=40\&md5=b0d1443b64cbe19a1b79ab4d8a04ec16}
    }
  • Thurner S., Hanel R.
    Peer-Review in a World with Rational Scientists: Toward Selection of the Average.
    European Physical Journal B 84(4), 707–711, (2011) [bib]
    
    @ARTICLE{thurner2011paww707711,
      author = {Thurner, S.~ and Hanel, R.~},
      title = {Peer-Review in a World with Rational Scientists: Toward Selection of the Average.},
      journal = {European Physical Journal B},
      year = {2011},
      volume = {84},
      number = {4},
      pages = {707--711},
      doi = {10.1140/epjb/e2011-20545-7},
      url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84855358285\&doi=10.1140%2fepjb%2fe2011-20545-7\&partnerID=40\&md5=92b9470b3287091a0d1fb37858fb59e0}
    }
  • Hanel R., Thurner S., Gell-Mann M.
    Generalized Entropies and the Transformation Group of Superstatistics.
    Proceedings of the National Academy of Sciences 108(16), 6390–6394, (2011) [bib]
    
    @ARTICLE{hanel2011getg63906394,
      author = {Hanel, R.~ and Thurner, S.~ and Gell-Mann, M.~},
      title = {Generalized Entropies and the Transformation Group of Superstatistics.},
      journal = {Proceedings of the National Academy of Sciences},
      year = {2011},
      volume = {108},
      number = {16},
      pages = {6390--6394},
      doi = {10.1073/pnas.1103539108},
      url = {http://www.pnas.org/content/108/16/6390.abstract}
    }
  • Hanel R., Thurner S.
    A Comprehensive Classification of Complex Statistical Systems and an Axiomatic Derivation of Their Entropy and Distribution Functions.
    European Physical Journal 93(2):20006, (2011) [bib]
    
    @ARTICLE{hanel2011accc20006,
      author = {Hanel, R.~ and Thurner, S.~},
      title = {A Comprehensive Classification of Complex Statistical Systems and an Axiomatic Derivation of Their Entropy and Distribution Functions.},
      journal = {European Physical Journal},
      year = {2011},
      volume = {93},
      number = {2},
      pages = {20006},
      doi = {10.1209/0295-5075/93/20006},
      url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79952579189\&doi=10.1209%2f0295-5075%2f93%2f20006\&partnerID=40\&md5=e299e35c5e207fa6fee3499972a08624}
    }

2010

  • Hanel R., Pöchacker M., Thurner S.
    Living on the Edge of Chaos: Minimally Nonlinear Models of Genetic Regulatory Dynamics.
    Philosophical Transactions of the Royal Society A, Mathematical, Physical, and Engineering Sciences 368(1933), 5583–5596, (2010) [bib]
    
    @ARTICLE{hanel2010lecm55835596,
      author = {Hanel, R.~ and P{\"o}chacker, M.~ and Thurner, S.~},
      title = {Living on the Edge of Chaos: Minimally Nonlinear Models of Genetic Regulatory Dynamics.},
      journal = {Philosophical Transactions of the Royal Society A, Mathematical, Physical, and Engineering Sciences},
      year = {2010},
      volume = {368},
      number = {1933},
      pages = {5583--5596},
      issn = {1364-503X 1364-503X},
      doi = {10.1098/rsta.2010.0267},
      keywords = {Algorithms;Animals;Humans;Models;Statistical;Models;Theoretical;Models;Genetic;Stochastic Processes;*Nonlinear Dynamics;Catalysis;Oscillometry;Systems Theory}
    }
  • Klimek P., Thurner S., Hanel R.
    Evolutionary Dynamics from a Variational Principle.
    Physical Review E, Statistical, Nonlinear, and Soft Matter Physics 82(1):011901, (2010) [bib]
    
    @ARTICLE{klimek2010edav011901,
      author = {Klimek, P.~ and Thurner, S.~ and Hanel, R.~},
      title = {Evolutionary Dynamics from a Variational Principle.},
      journal = {Physical Review E, Statistical, Nonlinear, and Soft Matter Physics},
      year = {2010},
      volume = {82},
      number = {1},
      pages = {011901},
      issn = {1550-2376 1539-3755},
      doi = {10.1103/PhysRevE.82.011901},
      keywords = {Animals;Humans;Computer Simulation;*Models;Statistical;*Models;Genetic;*Biological Evolution;*Genetics;Population;*Extinction;Biological;Genetic Fitness/*genetics;Predatory Behavior/*physiology}
    }