Morris Brooks
Graduate School
Seiringer Group
9 Publications
2025 | Published | Journal Article | IST-REx-ID: 19372 |

Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling
M. Brooks, D.J. Mitrouskas, Probability and Mathematical Physics 6 (2025) 281–325.
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M. Brooks, D.J. Mitrouskas, Probability and Mathematical Physics 6 (2025) 281–325.
2024 | Published | Journal Article | IST-REx-ID: 17478 |

The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass
M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.
[Published Version]
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M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.
2024 | Published | Journal Article | IST-REx-ID: 17282 |

Characterisation of gradient flows for a given functional
M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations 63 (2024).
[Published Version]
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M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations 63 (2024).
2023 | Published | Journal Article | IST-REx-ID: 14441 |

The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.
[Published Version]
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| Files available
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| arXiv
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.
2023 | Published | Journal Article | IST-REx-ID: 17074 |

Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases
M. Brooks, R. Seiringer, Probability and Mathematical Physics 3 (2023) 939–1000.
[Preprint]
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M. Brooks, R. Seiringer, Probability and Mathematical Physics 3 (2023) 939–1000.
2022 | Published | Thesis | IST-REx-ID: 12390 |

Translation-invariant quantum systems with effectively broken symmetry
M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.
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M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.
2021 | Published | Journal Article | IST-REx-ID: 10585 |

Emergence of anyons on the two-sphere in molecular impurities
M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021).
[Published Version]
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| Files available
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| arXiv
M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021).
2021 | Published | Journal Article | IST-REx-ID: 9348 |

Sharp tunneling estimates for a double-well model in infinite dimension
M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).
[Preprint]
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| WoS
| arXiv
M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).
2021 | Published | Journal Article | IST-REx-ID: 9005 |

Molecular impurities as a realization of anyons on the two-sphere
M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).
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M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).
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9 Publications
2025 | Published | Journal Article | IST-REx-ID: 19372 |

Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling
M. Brooks, D.J. Mitrouskas, Probability and Mathematical Physics 6 (2025) 281–325.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
M. Brooks, D.J. Mitrouskas, Probability and Mathematical Physics 6 (2025) 281–325.
2024 | Published | Journal Article | IST-REx-ID: 17478 |

The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass
M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.
[Published Version]
View
| Files available
| DOI
| arXiv
M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.
2024 | Published | Journal Article | IST-REx-ID: 17282 |

Characterisation of gradient flows for a given functional
M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations 63 (2024).
[Published Version]
View
| Files available
| DOI
| arXiv
M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations 63 (2024).
2023 | Published | Journal Article | IST-REx-ID: 14441 |

The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.
[Published Version]
View
| Files available
| DOI
| arXiv
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.
2023 | Published | Journal Article | IST-REx-ID: 17074 |

Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases
M. Brooks, R. Seiringer, Probability and Mathematical Physics 3 (2023) 939–1000.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
M. Brooks, R. Seiringer, Probability and Mathematical Physics 3 (2023) 939–1000.
2022 | Published | Thesis | IST-REx-ID: 12390 |

Translation-invariant quantum systems with effectively broken symmetry
M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.
[Published Version]
View
| Files available
| DOI
M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.
2021 | Published | Journal Article | IST-REx-ID: 10585 |

Emergence of anyons on the two-sphere in molecular impurities
M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021).
[Published Version]
View
| Files available
| DOI
| arXiv
M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021).
2021 | Published | Journal Article | IST-REx-ID: 9348 |

Sharp tunneling estimates for a double-well model in infinite dimension
M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).
2021 | Published | Journal Article | IST-REx-ID: 9005 |

Molecular impurities as a realization of anyons on the two-sphere
M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| PubMed | Europe PMC
| arXiv
M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).