[{"publisher":"Springer Science and Business Media LLC","_id":"63621","language":[{"iso":"eng"}],"doi":"10.1007/s10231-025-01642-4","user_id":"23686","publication_identifier":{"issn":["0373-3114","1618-1891"]},"author":[{"id":"23686","full_name":"Black, Tobias","first_name":"Tobias","last_name":"Black","orcid":"0000-0001-9963-0800"}],"year":"2026","title":"Refining Hölder regularity theory in degenerate drift-diffusion equations","status":"public","date_updated":"2026-01-15T10:10:58Z","publication_status":"published","date_created":"2026-01-15T10:09:43Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","citation":{"ieee":"T. Black, “Refining Hölder regularity theory in degenerate drift-diffusion equations,” <i>Annali di Matematica Pura ed Applicata (1923 -)</i>, 2026, doi: <a href=\"https://doi.org/10.1007/s10231-025-01642-4\">10.1007/s10231-025-01642-4</a>.","apa":"Black, T. (2026). Refining Hölder regularity theory in degenerate drift-diffusion equations. <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i>. <a href=\"https://doi.org/10.1007/s10231-025-01642-4\">https://doi.org/10.1007/s10231-025-01642-4</a>","chicago":"Black, Tobias. “Refining Hölder Regularity Theory in Degenerate Drift-Diffusion Equations.” <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i>, 2026. <a href=\"https://doi.org/10.1007/s10231-025-01642-4\">https://doi.org/10.1007/s10231-025-01642-4</a>.","short":"T. Black, Annali Di Matematica Pura Ed Applicata (1923 -) (2026).","mla":"Black, Tobias. “Refining Hölder Regularity Theory in Degenerate Drift-Diffusion Equations.” <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i>, Springer Science and Business Media LLC, 2026, doi:<a href=\"https://doi.org/10.1007/s10231-025-01642-4\">10.1007/s10231-025-01642-4</a>.","bibtex":"@article{Black_2026, title={Refining Hölder regularity theory in degenerate drift-diffusion equations}, DOI={<a href=\"https://doi.org/10.1007/s10231-025-01642-4\">10.1007/s10231-025-01642-4</a>}, journal={Annali di Matematica Pura ed Applicata (1923 -)}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias}, year={2026} }","ama":"Black T. Refining Hölder regularity theory in degenerate drift-diffusion equations. <i>Annali di Matematica Pura ed Applicata (1923 -)</i>. Published online 2026. doi:<a href=\"https://doi.org/10.1007/s10231-025-01642-4\">10.1007/s10231-025-01642-4</a>"},"publication":"Annali di Matematica Pura ed Applicata (1923 -)"},{"citation":{"short":"E. Papageorgiou, J.T. van Velthoven, Annali Di Matematica Pura Ed Applicata (1923 -) 204 (2024) 1469–1491.","chicago":"Papageorgiou, Efthymia, and Jordy Timo van Velthoven. “Counting Function Estimates for Coherent Frames and Riesz Sequences.” <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i> 204, no. 4 (2024): 1469–91. <a href=\"https://doi.org/10.1007/s10231-024-01535-y\">https://doi.org/10.1007/s10231-024-01535-y</a>.","ieee":"E. Papageorgiou and J. T. van Velthoven, “Counting function estimates for coherent frames and Riesz sequences,” <i>Annali di Matematica Pura ed Applicata (1923 -)</i>, vol. 204, no. 4, pp. 1469–1491, 2024, doi: <a href=\"https://doi.org/10.1007/s10231-024-01535-y\">10.1007/s10231-024-01535-y</a>.","apa":"Papageorgiou, E., &#38; van Velthoven, J. T. (2024). Counting function estimates for coherent frames and Riesz sequences. <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i>, <i>204</i>(4), 1469–1491. <a href=\"https://doi.org/10.1007/s10231-024-01535-y\">https://doi.org/10.1007/s10231-024-01535-y</a>","bibtex":"@article{Papageorgiou_van Velthoven_2024, title={Counting function estimates for coherent frames and Riesz sequences}, volume={204}, DOI={<a href=\"https://doi.org/10.1007/s10231-024-01535-y\">10.1007/s10231-024-01535-y</a>}, number={4}, journal={Annali di Matematica Pura ed Applicata (1923 -)}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia and van Velthoven, Jordy Timo}, year={2024}, pages={1469–1491} }","ama":"Papageorgiou E, van Velthoven JT. Counting function estimates for coherent frames and Riesz sequences. <i>Annali di Matematica Pura ed Applicata (1923 -)</i>. 2024;204(4):1469-1491. doi:<a href=\"https://doi.org/10.1007/s10231-024-01535-y\">10.1007/s10231-024-01535-y</a>","mla":"Papageorgiou, Efthymia, and Jordy Timo van Velthoven. “Counting Function Estimates for Coherent Frames and Riesz Sequences.” <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i>, vol. 204, no. 4, Springer Science and Business Media LLC, 2024, pp. 1469–91, doi:<a href=\"https://doi.org/10.1007/s10231-024-01535-y\">10.1007/s10231-024-01535-y</a>."},"page":"1469-1491","_id":"63500","publisher":"Springer Science and Business Media LLC","user_id":"100325","volume":204,"status":"public","date_created":"2026-01-06T09:33:28Z","type":"journal_article","issue":"4","publication":"Annali di Matematica Pura ed Applicata (1923 -)","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n          <jats:p>We prove various estimates for the asymptotics of counting functions associated to point sets of coherent frames and Riesz sequences. The obtained results recover the necessary density conditions for coherent frames and Riesz sequences for general unimodular amenable groups, while providing more precise estimates under additional localization conditions on the coherent system for groups of polynomial growth. \r\n</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1007/s10231-024-01535-y","year":"2024","title":"Counting function estimates for coherent frames and Riesz sequences","author":[{"full_name":"Papageorgiou, Efthymia","first_name":"Efthymia","last_name":"Papageorgiou","id":"100325"},{"full_name":"van Velthoven, Jordy Timo","last_name":"van Velthoven","first_name":"Jordy Timo"}],"publication_identifier":{"issn":["0373-3114","1618-1891"]},"publication_status":"published","date_updated":"2026-07-03T12:37:20Z","intvolume":"       204"},{"type":"journal_article","date_created":"2025-12-19T10:59:58Z","publication":"Annali di Matematica Pura ed Applicata (1923 -)","issue":"5","citation":{"ama":"Winkler M. How strong singularities can be regularized by logistic degradation in the Keller–Segel system? <i>Annali di Matematica Pura ed Applicata (1923 -)</i>. 2019;198(5):1615-1637. doi:<a href=\"https://doi.org/10.1007/s10231-019-00834-z\">10.1007/s10231-019-00834-z</a>","bibtex":"@article{Winkler_2019, title={How strong singularities can be regularized by logistic degradation in the Keller–Segel system?}, volume={198}, DOI={<a href=\"https://doi.org/10.1007/s10231-019-00834-z\">10.1007/s10231-019-00834-z</a>}, number={5}, journal={Annali di Matematica Pura ed Applicata (1923 -)}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2019}, pages={1615–1637} }","mla":"Winkler, Michael. “How Strong Singularities Can Be Regularized by Logistic Degradation in the Keller–Segel System?” <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i>, vol. 198, no. 5, Springer Science and Business Media LLC, 2019, pp. 1615–37, doi:<a href=\"https://doi.org/10.1007/s10231-019-00834-z\">10.1007/s10231-019-00834-z</a>.","chicago":"Winkler, Michael. “How Strong Singularities Can Be Regularized by Logistic Degradation in the Keller–Segel System?” <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i> 198, no. 5 (2019): 1615–37. <a href=\"https://doi.org/10.1007/s10231-019-00834-z\">https://doi.org/10.1007/s10231-019-00834-z</a>.","short":"M. Winkler, Annali Di Matematica Pura Ed Applicata (1923 -) 198 (2019) 1615–1637.","apa":"Winkler, M. (2019). How strong singularities can be regularized by logistic degradation in the Keller–Segel system? <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i>, <i>198</i>(5), 1615–1637. <a href=\"https://doi.org/10.1007/s10231-019-00834-z\">https://doi.org/10.1007/s10231-019-00834-z</a>","ieee":"M. Winkler, “How strong singularities can be regularized by logistic degradation in the Keller–Segel system?,” <i>Annali di Matematica Pura ed Applicata (1923 -)</i>, vol. 198, no. 5, pp. 1615–1637, 2019, doi: <a href=\"https://doi.org/10.1007/s10231-019-00834-z\">10.1007/s10231-019-00834-z</a>."},"user_id":"31496","doi":"10.1007/s10231-019-00834-z","volume":198,"page":"1615-1637","language":[{"iso":"eng"}],"_id":"63364","publisher":"Springer Science and Business Media LLC","publication_status":"published","date_updated":"2025-12-19T11:00:04Z","intvolume":"       198","title":"How strong singularities can be regularized by logistic degradation in the Keller–Segel system?","year":"2019","status":"public","publication_identifier":{"issn":["0373-3114","1618-1891"]},"author":[{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler","id":"31496"}]}]