---
_id: '45484'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Graffiti is an urban phenomenon that
    is increasingly attracting the interest of the sciences. To the best of our knowledge,
    no suitable data corpora are available for systematic research until now. The
    Information System Graffiti in Germany project (<jats:sc>Ingrid</jats:sc>) closes
    this gap by dealing with graffiti image collections that have been made available
    to the project for public use. Within <jats:sc>Ingrid</jats:sc>, the graffiti
    images are collected, digitized and annotated. With this work, we aim to support
    the rapid access to a comprehensive data source on <jats:sc>Ingrid</jats:sc> targeted
    especially by researchers. In particular, we present <jats:sc>Ingrid</jats:sc>KG,
    an RDF knowledge graph of annotated graffiti, abides by the Linked Data and FAIR
    principles. We weekly update <jats:sc>Ingrid</jats:sc>KG by augmenting the new
    annotated graffiti to our knowledge graph. Our generation pipeline applies RDF
    data conversion, link discovery and data fusion approaches to the original data.
    The current version of <jats:sc>Ingrid</jats:sc>KG contains 460,640,154 triples
    and is linked to 3 other knowledge graphs by over 200,000 links. In our use case
    studies, we demonstrate the usefulness of our knowledge graph for different applications.</jats:p>
article_number: '318'
author:
- first_name: Mohamed Ahmed
  full_name: Sherif, Mohamed Ahmed
  last_name: Sherif
- first_name: Ana Alexandra Morim
  full_name: da Silva, Ana Alexandra Morim
  last_name: da Silva
- first_name: Svetlana
  full_name: Pestryakova, Svetlana
  last_name: Pestryakova
- first_name: Abdullah Fathi
  full_name: Ahmed, Abdullah Fathi
  last_name: Ahmed
- first_name: Sven
  full_name: Niemann, Sven
  last_name: Niemann
- first_name: Axel-Cyrille Ngonga
  full_name: Ngomo, Axel-Cyrille Ngonga
  last_name: Ngomo
citation:
  ama: 'Sherif MA, da Silva AAM, Pestryakova S, Ahmed AF, Niemann S, Ngomo A-CN. IngridKG:
    A FAIR Knowledge Graph of Graffiti. <i>Scientific Data</i>. 2023;10(1). doi:<a
    href="https://doi.org/10.1038/s41597-023-02199-8">10.1038/s41597-023-02199-8</a>'
  apa: 'Sherif, M. A., da Silva, A. A. M., Pestryakova, S., Ahmed, A. F., Niemann,
    S., &#38; Ngomo, A.-C. N. (2023). IngridKG: A FAIR Knowledge Graph of Graffiti.
    <i>Scientific Data</i>, <i>10</i>(1), Article 318. <a href="https://doi.org/10.1038/s41597-023-02199-8">https://doi.org/10.1038/s41597-023-02199-8</a>'
  bibtex: '@article{Sherif_da Silva_Pestryakova_Ahmed_Niemann_Ngomo_2023, title={IngridKG:
    A FAIR Knowledge Graph of Graffiti}, volume={10}, DOI={<a href="https://doi.org/10.1038/s41597-023-02199-8">10.1038/s41597-023-02199-8</a>},
    number={1318}, journal={Scientific Data}, publisher={Springer Science and Business
    Media LLC}, author={Sherif, Mohamed Ahmed and da Silva, Ana Alexandra Morim and
    Pestryakova, Svetlana and Ahmed, Abdullah Fathi and Niemann, Sven and Ngomo, Axel-Cyrille
    Ngonga}, year={2023} }'
  chicago: 'Sherif, Mohamed Ahmed, Ana Alexandra Morim da Silva, Svetlana Pestryakova,
    Abdullah Fathi Ahmed, Sven Niemann, and Axel-Cyrille Ngonga Ngomo. “IngridKG:
    A FAIR Knowledge Graph of Graffiti.” <i>Scientific Data</i> 10, no. 1 (2023).
    <a href="https://doi.org/10.1038/s41597-023-02199-8">https://doi.org/10.1038/s41597-023-02199-8</a>.'
  ieee: 'M. A. Sherif, A. A. M. da Silva, S. Pestryakova, A. F. Ahmed, S. Niemann,
    and A.-C. N. Ngomo, “IngridKG: A FAIR Knowledge Graph of Graffiti,” <i>Scientific
    Data</i>, vol. 10, no. 1, Art. no. 318, 2023, doi: <a href="https://doi.org/10.1038/s41597-023-02199-8">10.1038/s41597-023-02199-8</a>.'
  mla: 'Sherif, Mohamed Ahmed, et al. “IngridKG: A FAIR Knowledge Graph of Graffiti.”
    <i>Scientific Data</i>, vol. 10, no. 1, 318, Springer Science and Business Media
    LLC, 2023, doi:<a href="https://doi.org/10.1038/s41597-023-02199-8">10.1038/s41597-023-02199-8</a>.'
  short: M.A. Sherif, A.A.M. da Silva, S. Pestryakova, A.F. Ahmed, S. Niemann, A.-C.N.
    Ngomo, Scientific Data 10 (2023).
date_created: 2023-06-06T09:12:39Z
date_updated: 2023-06-06T09:17:10Z
department:
- _id: '574'
- _id: '115'
doi: 10.1038/s41597-023-02199-8
intvolume: '        10'
issue: '1'
keyword:
- Library and Information Sciences
- Statistics
- Probability and Uncertainty
- Computer Science Applications
- Education
- Information Systems
- Statistics and Probability
language:
- iso: eng
project:
- _id: '104'
  grant_number: '289287267'
  name: 'INGRID: INGRID: Informationssystem Graffiti in Deutschland'
publication: Scientific Data
publication_identifier:
  issn:
  - 2052-4463
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'IngridKG: A FAIR Knowledge Graph of Graffiti'
type: journal_article
user_id: '6593'
volume: 10
year: '2023'
...
---
_id: '53238'
article_number: '101189'
author:
- first_name: Madjid
  full_name: Tavana, Madjid
  id: '31858'
  last_name: Tavana
- first_name: Arash
  full_name: Khalili Nasr, Arash
  last_name: Khalili Nasr
- first_name: Hassan
  full_name: Mina, Hassan
  last_name: Mina
- first_name: Jerzy
  full_name: Michnik, Jerzy
  last_name: Michnik
citation:
  ama: Tavana M, Khalili Nasr A, Mina H, Michnik J. A private sustainable partner
    selection model for green public-private partnerships and regional economic development.
    <i>Socio-Economic Planning Sciences</i>. 2022;83. doi:<a href="https://doi.org/10.1016/j.seps.2021.101189">10.1016/j.seps.2021.101189</a>
  apa: Tavana, M., Khalili Nasr, A., Mina, H., &#38; Michnik, J. (2022). A private
    sustainable partner selection model for green public-private partnerships and
    regional economic development. <i>Socio-Economic Planning Sciences</i>, <i>83</i>,
    Article 101189. <a href="https://doi.org/10.1016/j.seps.2021.101189">https://doi.org/10.1016/j.seps.2021.101189</a>
  bibtex: '@article{Tavana_Khalili Nasr_Mina_Michnik_2022, title={A private sustainable
    partner selection model for green public-private partnerships and regional economic
    development}, volume={83}, DOI={<a href="https://doi.org/10.1016/j.seps.2021.101189">10.1016/j.seps.2021.101189</a>},
    number={101189}, journal={Socio-Economic Planning Sciences}, publisher={Elsevier
    BV}, author={Tavana, Madjid and Khalili Nasr, Arash and Mina, Hassan and Michnik,
    Jerzy}, year={2022} }'
  chicago: Tavana, Madjid, Arash Khalili Nasr, Hassan Mina, and Jerzy Michnik. “A
    Private Sustainable Partner Selection Model for Green Public-Private Partnerships
    and Regional Economic Development.” <i>Socio-Economic Planning Sciences</i> 83
    (2022). <a href="https://doi.org/10.1016/j.seps.2021.101189">https://doi.org/10.1016/j.seps.2021.101189</a>.
  ieee: 'M. Tavana, A. Khalili Nasr, H. Mina, and J. Michnik, “A private sustainable
    partner selection model for green public-private partnerships and regional economic
    development,” <i>Socio-Economic Planning Sciences</i>, vol. 83, Art. no. 101189,
    2022, doi: <a href="https://doi.org/10.1016/j.seps.2021.101189">10.1016/j.seps.2021.101189</a>.'
  mla: Tavana, Madjid, et al. “A Private Sustainable Partner Selection Model for Green
    Public-Private Partnerships and Regional Economic Development.” <i>Socio-Economic
    Planning Sciences</i>, vol. 83, 101189, Elsevier BV, 2022, doi:<a href="https://doi.org/10.1016/j.seps.2021.101189">10.1016/j.seps.2021.101189</a>.
  short: M. Tavana, A. Khalili Nasr, H. Mina, J. Michnik, Socio-Economic Planning
    Sciences 83 (2022).
date_created: 2024-04-04T15:50:16Z
date_updated: 2024-04-15T13:16:33Z
department:
- _id: '277'
doi: 10.1016/j.seps.2021.101189
intvolume: '        83'
keyword:
- Management Science and Operations Research
- Statistics
- Probability and Uncertainty
- Strategy and Management
- Economics and Econometrics
- Geography
- Planning and Development
language:
- iso: eng
publication: Socio-Economic Planning Sciences
publication_identifier:
  issn:
  - 0038-0121
publication_status: published
publisher: Elsevier BV
status: public
title: A private sustainable partner selection model for green public-private partnerships
  and regional economic development
type: journal_article
user_id: '51811'
volume: 83
year: '2022'
...
---
_id: '50024'
author:
- first_name: Yuanhua
  full_name: Feng, Yuanhua
  last_name: Feng
- first_name: Thomas
  full_name: Gries, Thomas
  last_name: Gries
- first_name: Sebastian
  full_name: Letmathe, Sebastian
  last_name: Letmathe
- first_name: Dominik
  full_name: Schulz, Dominik
  last_name: Schulz
citation:
  ama: Feng Y, Gries T, Letmathe S, Schulz D. The smoots Package in R for Semiparametric
    Modeling of Trend Stationary Time Series. <i>The R Journal</i>. 2022;14(1):182-195.
    doi:<a href="https://doi.org/10.32614/rj-2022-017">10.32614/rj-2022-017</a>
  apa: Feng, Y., Gries, T., Letmathe, S., &#38; Schulz, D. (2022). The smoots Package
    in R for Semiparametric Modeling of Trend Stationary Time Series. <i>The R Journal</i>,
    <i>14</i>(1), 182–195. <a href="https://doi.org/10.32614/rj-2022-017">https://doi.org/10.32614/rj-2022-017</a>
  bibtex: '@article{Feng_Gries_Letmathe_Schulz_2022, title={The smoots Package in
    R for Semiparametric Modeling of Trend Stationary Time Series}, volume={14}, DOI={<a
    href="https://doi.org/10.32614/rj-2022-017">10.32614/rj-2022-017</a>}, number={1},
    journal={The R Journal}, publisher={The R Foundation}, author={Feng, Yuanhua and
    Gries, Thomas and Letmathe, Sebastian and Schulz, Dominik}, year={2022}, pages={182–195}
    }'
  chicago: 'Feng, Yuanhua, Thomas Gries, Sebastian Letmathe, and Dominik Schulz. “The
    Smoots Package in R for Semiparametric Modeling of Trend Stationary Time Series.”
    <i>The R Journal</i> 14, no. 1 (2022): 182–95. <a href="https://doi.org/10.32614/rj-2022-017">https://doi.org/10.32614/rj-2022-017</a>.'
  ieee: 'Y. Feng, T. Gries, S. Letmathe, and D. Schulz, “The smoots Package in R for
    Semiparametric Modeling of Trend Stationary Time Series,” <i>The R Journal</i>,
    vol. 14, no. 1, pp. 182–195, 2022, doi: <a href="https://doi.org/10.32614/rj-2022-017">10.32614/rj-2022-017</a>.'
  mla: Feng, Yuanhua, et al. “The Smoots Package in R for Semiparametric Modeling
    of Trend Stationary Time Series.” <i>The R Journal</i>, vol. 14, no. 1, The R
    Foundation, 2022, pp. 182–95, doi:<a href="https://doi.org/10.32614/rj-2022-017">10.32614/rj-2022-017</a>.
  short: Y. Feng, T. Gries, S. Letmathe, D. Schulz, The R Journal 14 (2022) 182–195.
date_created: 2023-12-21T12:09:31Z
date_updated: 2024-06-12T12:57:13Z
department:
- _id: '475'
- _id: '19'
- _id: '200'
doi: 10.32614/rj-2022-017
intvolume: '        14'
issue: '1'
keyword:
- Statistics
- Probability and Uncertainty
- Numerical Analysis
- Statistics and Probability
language:
- iso: eng
page: 182-195
publication: The R Journal
publication_identifier:
  issn:
  - 2073-4859
publication_status: published
publisher: The R Foundation
status: public
title: The smoots Package in R for Semiparametric Modeling of Trend Stationary Time
  Series
type: journal_article
user_id: '186'
volume: 14
year: '2022'
...
---
_id: '50025'
author:
- first_name: Yuanhua
  full_name: Feng, Yuanhua
  id: '20760'
  last_name: Feng
- first_name: Thomas
  full_name: Gries, Thomas
  id: '186'
  last_name: Gries
- first_name: Sebastian
  full_name: Letmathe, Sebastian
  last_name: Letmathe
- first_name: Dominik
  full_name: Schulz, Dominik
  last_name: Schulz
citation:
  ama: Feng Y, Gries T, Letmathe S, Schulz D. The smoots Package in R for Semiparametric
    Modeling of Trend Stationary Time Series. <i>The R Journal</i>. 2022;14(1):182-195.
    doi:<a href="https://doi.org/10.32614/rj-2022-017">10.32614/rj-2022-017</a>
  apa: Feng, Y., Gries, T., Letmathe, S., &#38; Schulz, D. (2022). The smoots Package
    in R for Semiparametric Modeling of Trend Stationary Time Series. <i>The R Journal</i>,
    <i>14</i>(1), 182–195. <a href="https://doi.org/10.32614/rj-2022-017">https://doi.org/10.32614/rj-2022-017</a>
  bibtex: '@article{Feng_Gries_Letmathe_Schulz_2022, title={The smoots Package in
    R for Semiparametric Modeling of Trend Stationary Time Series}, volume={14}, DOI={<a
    href="https://doi.org/10.32614/rj-2022-017">10.32614/rj-2022-017</a>}, number={1},
    journal={The R Journal}, publisher={The R Foundation}, author={Feng, Yuanhua and
    Gries, Thomas and Letmathe, Sebastian and Schulz, Dominik}, year={2022}, pages={182–195}
    }'
  chicago: 'Feng, Yuanhua, Thomas Gries, Sebastian Letmathe, and Dominik Schulz. “The
    Smoots Package in R for Semiparametric Modeling of Trend Stationary Time Series.”
    <i>The R Journal</i> 14, no. 1 (2022): 182–95. <a href="https://doi.org/10.32614/rj-2022-017">https://doi.org/10.32614/rj-2022-017</a>.'
  ieee: 'Y. Feng, T. Gries, S. Letmathe, and D. Schulz, “The smoots Package in R for
    Semiparametric Modeling of Trend Stationary Time Series,” <i>The R Journal</i>,
    vol. 14, no. 1, pp. 182–195, 2022, doi: <a href="https://doi.org/10.32614/rj-2022-017">10.32614/rj-2022-017</a>.'
  mla: Feng, Yuanhua, et al. “The Smoots Package in R for Semiparametric Modeling
    of Trend Stationary Time Series.” <i>The R Journal</i>, vol. 14, no. 1, The R
    Foundation, 2022, pp. 182–95, doi:<a href="https://doi.org/10.32614/rj-2022-017">10.32614/rj-2022-017</a>.
  short: Y. Feng, T. Gries, S. Letmathe, D. Schulz, The R Journal 14 (2022) 182–195.
date_created: 2023-12-21T12:09:53Z
date_updated: 2025-11-10T09:32:36Z
doi: 10.32614/rj-2022-017
intvolume: '        14'
issue: '1'
keyword:
- Statistics
- Probability and Uncertainty
- Numerical Analysis
- Statistics and Probability
language:
- iso: eng
page: 182-195
publication: The R Journal
publication_identifier:
  issn:
  - 2073-4859
publication_status: published
publisher: The R Foundation
status: public
title: The smoots Package in R for Semiparametric Modeling of Trend Stationary Time
  Series
type: journal_article
user_id: '186'
volume: 14
year: '2022'
...
---
_id: '32243'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>The defining
    feature of active particles is that they constantly propel themselves by locally
    converting chemical energy into directed motion. This active self-propulsion prevents
    them from equilibrating with their thermal environment (e.g. an aqueous solution),
    thus keeping them permanently out of equilibrium. Nevertheless, the spatial dynamics
    of active particles might share certain equilibrium features, in particular in
    the steady state. We here focus on the time-reversal symmetry of individual spatial
    trajectories as a distinct equilibrium characteristic. We investigate to what
    extent the steady-state trajectories of a trapped active particle obey or break
    this time-reversal symmetry. Within the framework of active Ornstein–Uhlenbeck
    particles we find that the steady-state trajectories in a harmonic potential fulfill
    path-wise time-reversal symmetry exactly, while this symmetry is typically broken
    in anharmonic potentials.</jats:p>"
article_number: '033216'
author:
- first_name: Lennart
  full_name: Dabelow, Lennart
  last_name: Dabelow
- first_name: Stefano
  full_name: Bo, Stefano
  last_name: Bo
- first_name: Ralf
  full_name: Eichhorn, Ralf
  last_name: Eichhorn
citation:
  ama: 'Dabelow L, Bo S, Eichhorn R. How irreversible are steady-state trajectories
    of a trapped active particle? <i>Journal of Statistical Mechanics: Theory and
    Experiment</i>. 2021;2021(3). doi:<a href="https://doi.org/10.1088/1742-5468/abe6fd">10.1088/1742-5468/abe6fd</a>'
  apa: 'Dabelow, L., Bo, S., &#38; Eichhorn, R. (2021). How irreversible are steady-state
    trajectories of a trapped active particle? <i>Journal of Statistical Mechanics:
    Theory and Experiment</i>, <i>2021</i>(3), Article 033216. <a href="https://doi.org/10.1088/1742-5468/abe6fd">https://doi.org/10.1088/1742-5468/abe6fd</a>'
  bibtex: '@article{Dabelow_Bo_Eichhorn_2021, title={How irreversible are steady-state
    trajectories of a trapped active particle?}, volume={2021}, DOI={<a href="https://doi.org/10.1088/1742-5468/abe6fd">10.1088/1742-5468/abe6fd</a>},
    number={3033216}, journal={Journal of Statistical Mechanics: Theory and Experiment},
    publisher={IOP Publishing}, author={Dabelow, Lennart and Bo, Stefano and Eichhorn,
    Ralf}, year={2021} }'
  chicago: 'Dabelow, Lennart, Stefano Bo, and Ralf Eichhorn. “How Irreversible Are
    Steady-State Trajectories of a Trapped Active Particle?” <i>Journal of Statistical
    Mechanics: Theory and Experiment</i> 2021, no. 3 (2021). <a href="https://doi.org/10.1088/1742-5468/abe6fd">https://doi.org/10.1088/1742-5468/abe6fd</a>.'
  ieee: 'L. Dabelow, S. Bo, and R. Eichhorn, “How irreversible are steady-state trajectories
    of a trapped active particle?,” <i>Journal of Statistical Mechanics: Theory and
    Experiment</i>, vol. 2021, no. 3, Art. no. 033216, 2021, doi: <a href="https://doi.org/10.1088/1742-5468/abe6fd">10.1088/1742-5468/abe6fd</a>.'
  mla: 'Dabelow, Lennart, et al. “How Irreversible Are Steady-State Trajectories of
    a Trapped Active Particle?” <i>Journal of Statistical Mechanics: Theory and Experiment</i>,
    vol. 2021, no. 3, 033216, IOP Publishing, 2021, doi:<a href="https://doi.org/10.1088/1742-5468/abe6fd">10.1088/1742-5468/abe6fd</a>.'
  short: 'L. Dabelow, S. Bo, R. Eichhorn, Journal of Statistical Mechanics: Theory
    and Experiment 2021 (2021).'
date_created: 2022-06-28T07:27:41Z
date_updated: 2022-06-28T07:28:14Z
department:
- _id: '27'
doi: 10.1088/1742-5468/abe6fd
intvolume: '      2021'
issue: '3'
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
- Statistical and Nonlinear Physics
language:
- iso: eng
project:
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: 'Journal of Statistical Mechanics: Theory and Experiment'
publication_identifier:
  issn:
  - 1742-5468
publication_status: published
publisher: IOP Publishing
status: public
title: How irreversible are steady-state trajectories of a trapped active particle?
type: journal_article
user_id: '15278'
volume: 2021
year: '2021'
...
---
_id: '45561'
abstract:
- lang: eng
  text: <jats:p>The purpose of this study is to experimentally test Trockel’s game,
    which is a modelling of the classical Chain Store Game (CSG), and determine whether
    one of the two theories of Equality and Deterrence may better account for the
    observed behavior. The CSG is an example of a simple game in extensive form where
    the actual behavior of well-informed players cannot be expected to agree with
    the clear results of game theoretical reasoning. To explain the disagreement between
    the theory and the expected behavior, Trockel’s game is proposed as an alternative
    modelling of the scenario. The existence of more than one equilibrium in Trockel’s
    game opens a door for reputation building. This study is the first attempt to
    experimentally test this alternative game with the same purpose. According to
    my data, there is some evidence in favor of both Equality and Deterrence Hypotheses.
    However, since the strategies compatible with the Equality Hypothesis are played
    more frequently, I observe some patterns which share the same intuition with the
    Deterrence Hypothesis.</jats:p>
article_number: '9'
author:
- first_name: Papatya
  full_name: Duman, Papatya
  id: '72752'
  last_name: Duman
citation:
  ama: Duman P. Does Informational Equivalence Preserve Strategic Behavior? Experimental
    Results on Trockel’s Model of Selten’s Chain Store Story. <i>Games</i>. 2020;11(1).
    doi:<a href="https://doi.org/10.3390/g11010009">10.3390/g11010009</a>
  apa: Duman, P. (2020). Does Informational Equivalence Preserve Strategic Behavior?
    Experimental Results on Trockel’s Model of Selten’s Chain Store Story. <i>Games</i>,
    <i>11</i>(1), Article 9. <a href="https://doi.org/10.3390/g11010009">https://doi.org/10.3390/g11010009</a>
  bibtex: '@article{Duman_2020, title={Does Informational Equivalence Preserve Strategic
    Behavior? Experimental Results on Trockel’s Model of Selten’s Chain Store Story},
    volume={11}, DOI={<a href="https://doi.org/10.3390/g11010009">10.3390/g11010009</a>},
    number={19}, journal={Games}, publisher={MDPI AG}, author={Duman, Papatya}, year={2020}
    }'
  chicago: Duman, Papatya. “Does Informational Equivalence Preserve Strategic Behavior?
    Experimental Results on Trockel’s Model of Selten’s Chain Store Story.” <i>Games</i>
    11, no. 1 (2020). <a href="https://doi.org/10.3390/g11010009">https://doi.org/10.3390/g11010009</a>.
  ieee: 'P. Duman, “Does Informational Equivalence Preserve Strategic Behavior? Experimental
    Results on Trockel’s Model of Selten’s Chain Store Story,” <i>Games</i>, vol.
    11, no. 1, Art. no. 9, 2020, doi: <a href="https://doi.org/10.3390/g11010009">10.3390/g11010009</a>.'
  mla: Duman, Papatya. “Does Informational Equivalence Preserve Strategic Behavior?
    Experimental Results on Trockel’s Model of Selten’s Chain Store Story.” <i>Games</i>,
    vol. 11, no. 1, 9, MDPI AG, 2020, doi:<a href="https://doi.org/10.3390/g11010009">10.3390/g11010009</a>.
  short: P. Duman, Games 11 (2020).
date_created: 2023-06-09T15:31:17Z
date_updated: 2023-06-09T15:33:34Z
doi: 10.3390/g11010009
intvolume: '        11'
issue: '1'
keyword:
- Applied Mathematics
- Statistics
- Probability and Uncertainty
- Statistics and Probability
language:
- iso: eng
publication: Games
publication_identifier:
  issn:
  - 2073-4336
publication_status: published
publisher: MDPI AG
status: public
title: Does Informational Equivalence Preserve Strategic Behavior? Experimental Results
  on Trockel’s Model of Selten’s Chain Store Story
type: journal_article
user_id: '72752'
volume: 11
year: '2020'
...
---
_id: '34886'
abstract:
- lang: eng
  text: We give asymptotic upper and lower bounds for the number of squarefree d (0
    < d ≤ X) such that the equation x² − dy²= −1 is solvable. These estimates, as
    usual, can equivalently be interpreted in terms of real quadratic fields with
    a fundamental unit with norm −1 and give strong evidence in the direction of a
    conjecture due to P. Stevenhagen.
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. On the negative Pell equation. <i>Annals of Mathematics</i>.
    2010;172(3):2035-2104. doi:<a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>
  apa: Fouvry, É., &#38; Klüners, J. (2010). On the negative Pell equation. <i>Annals
    of Mathematics</i>, <i>172</i>(3), 2035–2104. <a href="https://doi.org/10.4007/annals.2010.172.2035">https://doi.org/10.4007/annals.2010.172.2035</a>
  bibtex: '@article{Fouvry_Klüners_2010, title={On the negative Pell equation}, volume={172},
    DOI={<a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>},
    number={3}, journal={Annals of Mathematics}, publisher={Annals of Mathematics},
    author={Fouvry, Étienne and Klüners, Jürgen}, year={2010}, pages={2035–2104} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.”
    <i>Annals of Mathematics</i> 172, no. 3 (2010): 2035–2104. <a href="https://doi.org/10.4007/annals.2010.172.2035">https://doi.org/10.4007/annals.2010.172.2035</a>.'
  ieee: 'É. Fouvry and J. Klüners, “On the negative Pell equation,” <i>Annals of Mathematics</i>,
    vol. 172, no. 3, pp. 2035–2104, 2010, doi: <a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.” <i>Annals
    of Mathematics</i>, vol. 172, no. 3, Annals of Mathematics, 2010, pp. 2035–104,
    doi:<a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>.
  short: É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
date_created: 2022-12-23T09:09:02Z
date_updated: 2023-03-06T09:50:37Z
department:
- _id: '102'
doi: 10.4007/annals.2010.172.2035
intvolume: '       172'
issue: '3'
keyword:
- Statistics
- Probability and Uncertainty
- Mathematics (miscellaneous)
language:
- iso: eng
page: 2035-2104
publication: Annals of Mathematics
publication_identifier:
  issn:
  - 0003-486X
publication_status: published
publisher: Annals of Mathematics
status: public
title: On the negative Pell equation
type: journal_article
user_id: '93826'
volume: 172
year: '2010'
...