{"id":25,"date":"2019-05-15T17:07:33","date_gmt":"2019-05-15T15:07:33","guid":{"rendered":"http:\/\/claraaldana.com\/?page_id=25"},"modified":"2026-02-23T15:06:49","modified_gmt":"2026-02-23T14:06:49","slug":"publications","status":"publish","type":"page","link":"https:\/\/claraaldana.com\/index.php\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"

My Google Scholar<\/a><\/p>\n

My \ud83d\udc19 GitHub<\/a><\/p>\n\n\n

Publications in Journals<\/h2>\n\n\n

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On Quasi-Isospectrality of Potentials and Riemannian Manifolds<\/a>
In collaboration with Camilo Andres Perez.\u00a0 Arxiv:2202.06110
\nCommunications in Mathematics, February 2, 2026, Volume 34 (2026), Issue 2 (Special issue: Latin American mathematics)
\nAn earlier version of this paper appeared in arXiv under the name “On quasi-isospectral potentials”\n<\/p>\n\n

Polyakov formulas for conical singularities in two dimensions<\/a>
Clara L. Aldana, Klaus Kirsten<\/a>, and Julie Rowlett<\/a>
Ann. Math. Qu\u00e9bec<\/i> (2025). Published

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The variation of Barnes and Bessel zeta functions<\/a>
Clara L. Aldana, Klaus Kirsten<\/a>, and Julie Rowlett<\/a>
Complex Variables and Elliptic Equations, 1\u201336. Published online on 13 Apr 2025.
https:\/\/doi.org\/10.1080\/17476933.2025.2480793<\/p>\n

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A\u221e weights and compactness of conformal metrics under curvature bounds<\/a>
Clara L. Aldana, Gilles Carron, and Samuel Tapie
Analysis & PDE. Vol 14, No. 7, 2021
DOI: 10.2140\/apde.2021.14.2163
An older version is available in the arxiv at https:\/\/arxiv.org\/abs\/1810.05387<\/p>\n

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Maximal determinants of Schr\u00f6dinger operators on bounded intervals<\/a>
Clara L. Aldana, Jean-Baptiste Caillau, and Pedro Freitas
Journal de l\u2019\u00c9cole polytechnique. Math\u00e9matiques. Tome 7 (2020), p. 803-829
DOI: 10.5802\/jep.128. It is open access! (arXiv:1909.05786. HAL hal-01406270v1)<\/p>\n

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A Polyakov formula for Sectors<\/a>
C.L. Aldana, and Julie Rowlett<\/a>
The Journal of Geometric Analysis. April 2018, Volume 28, Issue 2, pp 1773\u20131839.
First online 05 July 2017. DOI https:\/\/doi.org\/10.1007\/s12220-017-9888-y
An earlier version was posted in ArXiv under the name Polyakov formula for Surfaces with conical
singularities
Correction to: A Polyakov formula for Sectors
C.L. Aldana, and J. Rowlett.
The Journal of Geometric Analysis. Volume 30, pp 3371\u20133372 (2020)<\/p>\n

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Compactness of relatively isospectral sets of surfaces via conformal surgeries<\/a>
 Pierre Albin<\/a>, Clara L. Aldana, and Fr\u00e9d\u00e9ric Rochon<\/a>
The Journal of Geometric Analysis. April 2018, Volume 28, Issue\u00a02, pp 1773\u20131839
First online 05 July 2017. DOI https:\/\/doi.org\/10.1007\/s12220-017-9888-<\/p>\n

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Ricci flow and the determinant of the Laplacian on non-compact surfaces<\/a>
 Pierre Albin<\/a>, Clara L. Aldana, and Fr\u00e9d\u00e9ric Rochon<\/a>
Communications in Partial Differential Equations, Volume 38, Issue 4, 2013
DOI: 10.1080\/03605302.2012.721853
A version of it is available at the
 Arxiv<\/a><\/p>\n

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Asymptotics of relative heat traces and determinants on open surfaces of finite area<\/a>
Clara L. Aldana
Annals of Global Analysis and Geometry: Volume 44, Issue 2 (2013), Page 169-216
DOI: 10.1007\/s10455-012-9362-9. Available at www.springerlink.com
This article expands the first part of my doctoral thesis. An older version is available at the Arxiv<\/a><\/p>\n

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Determinants of Laplacians on non-compact surfaces<\/a>
Clara L. Aldana
 Analysis, Geometry and Quantum Field Theory<\/a>. (I am also editor of this volume)
Contemporary Mathematics, vol. 584, Amer. Math. Soc., Providence, RI, 2012, pp. 223-236<\/p>\n

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Isoresonant conformal surfaces with cusps and boundedness of the relative determinant<\/a>
Clara L. Aldana
Communications in Analysis and Geometry, Volume 18, No 5, 2010
This paper is about the second part of my doctoral thesis. An older version is available at the Arxiv<\/a><\/p>\n

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Representation of a gauge group as motions of a Hilbert space<\/a>
Clara Lucia Aldana Dominguez
Annales math\u00e9matiques Blaise Pascal, 11 no. 2 (2004), p. 131-153.
This is a survey article based on my Master thesis<\/p>\n\n

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My doctoral thesis<\/h2>\n

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My doctoral thesis, Inverse spectral theory and relative determinants of elliptic operators on surfaces with cusps<\/a><\/em>, is published online at the Universitaets-und Landesbibliothek (ULB) of Bonn<\/code><\/p>\n

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Datasets<\/h2>\n

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Wildfire Environmental Monitoring Datasets (2020\u20132025): Processed Data for Portugal and Feature-Engineered for Montesinho Natural Park<\/a>
Clara L. Aldana (Creator), Tsiry Randrianasolo (Contributor)
Zenodo, November 14, 2025
DOI: https:\/\/doi.org\/10.5281\/zenodo.17610275<\/a><\/p>\n

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Wildfire Environmental Monitoring Dataset for Montesinho Natural Park (Feature-Engineered)<\/a>
Tsiry Randrianasolo<\/a> (Creator), Clara L. Aldana (Contributor)
Zenodo, November 13, 2025
DOI: https:\/\/doi.org\/10.5281\/zenodo.17604597<\/a><\/p>\n

<\/p>","protected":false},"excerpt":{"rendered":"

My Google Scholar My \ud83d\udc19 GitHub Publications in Journals On Quasi-Isospectrality of Potentials and Riemannian ManifoldsIn collaboration with Camilo Andres Perez.\u00a0 Arxiv:2202.06110 Communications in Mathematics, February 2, 2026, Volume 34 (2026), Issue 2 (Special issue: Latin American mathematics) An earlier version of this paper appeared in arXiv under the name “On quasi-isospectral potentials” Polyakov formulas […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-25","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/claraaldana.com\/index.php\/wp-json\/wp\/v2\/pages\/25","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/claraaldana.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/claraaldana.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/claraaldana.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/claraaldana.com\/index.php\/wp-json\/wp\/v2\/comments?post=25"}],"version-history":[{"count":54,"href":"https:\/\/claraaldana.com\/index.php\/wp-json\/wp\/v2\/pages\/25\/revisions"}],"predecessor-version":[{"id":332,"href":"https:\/\/claraaldana.com\/index.php\/wp-json\/wp\/v2\/pages\/25\/revisions\/332"}],"wp:attachment":[{"href":"https:\/\/claraaldana.com\/index.php\/wp-json\/wp\/v2\/media?parent=25"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}