[{"publisher":"Institute of Mathematical Statistics","article_type":"original","quality_controlled":"1","page":"1-12","file_date_updated":"2023-06-19T09:37:40Z","date_created":"2023-06-18T22:00:48Z","article_processing_charge":"No","department":[{"_id":"JaMa"}],"publication_status":"published","intvolume":"        28","title":"A Mecke-type characterization of the Dirichlet–Ferguson measure","scopus_import":"1","_id":"13145","author":[{"id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","last_name":"Dello Schiavo","first_name":"Lorenzo","full_name":"Dello Schiavo, Lorenzo","orcid":"0000-0002-9881-6870"},{"full_name":"Lytvynov, Eugene","first_name":"Eugene","last_name":"Lytvynov"}],"acknowledgement":"Research supported by the Sfb 1060 The Mathematics of Emergent Effects (University of Bonn). L.D.S. gratefully acknowledges funding of his current position by the Austrian Science Fund (FWF) through project ESPRIT 208.","volume":28,"ddc":["510"],"day":"05","doi":"10.1214/23-ECP528","abstract":[{"lang":"eng","text":"We prove a characterization of the Dirichlet–Ferguson measure over an arbitrary finite diffuse measure space. We provide an interpretation of this characterization in analogy with the Mecke identity for Poisson point processes."}],"year":"2023","citation":{"short":"L. Dello Schiavo, E. Lytvynov, Electronic Communications in Probability 28 (2023) 1–12.","mla":"Dello Schiavo, Lorenzo, and Eugene Lytvynov. “A Mecke-Type Characterization of the Dirichlet–Ferguson Measure.” <i>Electronic Communications in Probability</i>, vol. 28, Institute of Mathematical Statistics, 2023, pp. 1–12, doi:<a href=\"https://doi.org/10.1214/23-ECP528\">10.1214/23-ECP528</a>.","ista":"Dello Schiavo L, Lytvynov E. 2023. A Mecke-type characterization of the Dirichlet–Ferguson measure. Electronic Communications in Probability. 28, 1–12.","ama":"Dello Schiavo L, Lytvynov E. A Mecke-type characterization of the Dirichlet–Ferguson measure. <i>Electronic Communications in Probability</i>. 2023;28:1-12. doi:<a href=\"https://doi.org/10.1214/23-ECP528\">10.1214/23-ECP528</a>","apa":"Dello Schiavo, L., &#38; Lytvynov, E. (2023). A Mecke-type characterization of the Dirichlet–Ferguson measure. <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/23-ECP528\">https://doi.org/10.1214/23-ECP528</a>","ieee":"L. Dello Schiavo and E. Lytvynov, “A Mecke-type characterization of the Dirichlet–Ferguson measure,” <i>Electronic Communications in Probability</i>, vol. 28. Institute of Mathematical Statistics, pp. 1–12, 2023.","chicago":"Dello Schiavo, Lorenzo, and Eugene Lytvynov. “A Mecke-Type Characterization of the Dirichlet–Ferguson Measure.” <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics, 2023. <a href=\"https://doi.org/10.1214/23-ECP528\">https://doi.org/10.1214/23-ECP528</a>."},"date_updated":"2023-12-13T11:24:57Z","external_id":{"isi":["001042025400001"]},"isi":1,"language":[{"iso":"eng"}],"project":[{"_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","name":"Configuration Spaces over Non-Smooth Spaces","grant_number":"E208"}],"oa_version":"Published Version","month":"05","has_accepted_license":"1","publication":"Electronic Communications in Probability","file":[{"creator":"dernst","file_id":"13152","relation":"main_file","success":1,"access_level":"open_access","file_name":"2023_ElectronCommProbability_Schiavo.pdf","content_type":"application/pdf","date_updated":"2023-06-19T09:37:40Z","checksum":"4a543fe4b3f9e747cc52167c17bfb524","file_size":271434,"date_created":"2023-06-19T09:37:40Z"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","publication_identifier":{"eissn":["1083-589X"]},"oa":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","date_published":"2023-05-05T00:00:00Z"},{"ddc":["510"],"acknowledgement":"G. Dubach gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. L. Erdős is supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","volume":28,"external_id":{"arxiv":["2108.13694"],"isi":["000950650200005"]},"isi":1,"citation":{"chicago":"Dubach, Guillaume, and László Erdös. “Dynamics of a Rank-One Perturbation of a Hermitian Matrix.” <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics, 2023. <a href=\"https://doi.org/10.1214/23-ECP516\">https://doi.org/10.1214/23-ECP516</a>.","ieee":"G. Dubach and L. Erdös, “Dynamics of a rank-one perturbation of a Hermitian matrix,” <i>Electronic Communications in Probability</i>, vol. 28. Institute of Mathematical Statistics, pp. 1–13, 2023.","apa":"Dubach, G., &#38; Erdös, L. (2023). Dynamics of a rank-one perturbation of a Hermitian matrix. <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/23-ECP516\">https://doi.org/10.1214/23-ECP516</a>","ama":"Dubach G, Erdös L. Dynamics of a rank-one perturbation of a Hermitian matrix. <i>Electronic Communications in Probability</i>. 2023;28:1-13. doi:<a href=\"https://doi.org/10.1214/23-ECP516\">10.1214/23-ECP516</a>","ista":"Dubach G, Erdös L. 2023. Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. 28, 1–13.","short":"G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13.","mla":"Dubach, Guillaume, and László Erdös. “Dynamics of a Rank-One Perturbation of a Hermitian Matrix.” <i>Electronic Communications in Probability</i>, vol. 28, Institute of Mathematical Statistics, 2023, pp. 1–13, doi:<a href=\"https://doi.org/10.1214/23-ECP516\">10.1214/23-ECP516</a>."},"year":"2023","date_updated":"2023-10-17T12:48:10Z","abstract":[{"text":"We study the eigenvalue trajectories of a time dependent matrix Gt=H+itvv∗ for t≥0, where H is an N×N Hermitian random matrix and v is a unit vector. In particular, we establish that with high probability, an outlier can be distinguished at all times t>1+N−1/3+ϵ, for any ϵ>0. The study of this natural process combines elements of Hermitian and non-Hermitian analysis, and illustrates some aspects of the intrinsic instability of (even weakly) non-Hermitian matrices.","lang":"eng"}],"day":"08","arxiv":1,"doi":"10.1214/23-ECP516","file_date_updated":"2023-02-27T09:43:27Z","quality_controlled":"1","ec_funded":1,"page":"1-13","article_type":"original","publisher":"Institute of Mathematical Statistics","author":[{"last_name":"Dubach","first_name":"Guillaume","full_name":"Dubach, Guillaume","orcid":"0000-0001-6892-8137","id":"D5C6A458-10C4-11EA-ABF4-A4B43DDC885E"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","last_name":"Erdös","first_name":"László"}],"scopus_import":"1","_id":"12683","intvolume":"        28","title":"Dynamics of a rank-one perturbation of a Hermitian matrix","article_processing_charge":"No","date_created":"2023-02-26T23:01:01Z","department":[{"_id":"LaEr"}],"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","file":[{"success":1,"access_level":"open_access","relation":"main_file","file_id":"12692","creator":"dernst","date_created":"2023-02-27T09:43:27Z","file_size":479105,"checksum":"a1c6f0a3e33688fd71309c86a9aad86e","date_updated":"2023-02-27T09:43:27Z","file_name":"2023_ElectCommProbability_Dubach.pdf","content_type":"application/pdf"}],"type":"journal_article","date_published":"2023-02-08T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1083-589X"]},"language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"Electronic Communications in Probability","month":"02","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"oa_version":"Published Version"}]