https://m2.mtmt.hu/ hun 2026-03-17 16:13 JournalArticle 34479868 ADMIN_APPROVED true 0 false 2026-02-16T11:18:53.901+0000 2025-04-24T09:32:31.613+0000 2024-01-05T13:00:46.743+0000 true 10084481 Toroczkai Annamária /api/admin/10084481 Admin Toroczkai Annamária (idézők, admin) true 2025-04-24T09:29:47.385+0000 2025-04-24T09:29:47.385+0000 2025-04-24T09:32:31.919+0000 true 10065569 Pécsi Éva /api/admin/10065569 Admin Pécsi Éva (MTMT Közp 2,3, admin) true Admin 10080081 /api/admin/10080081 Bavalicsné Kerekes Beáta (MTMT ellenőrzés admin5) Bavalicsné Kerekes Beáta true true Admin 10067876 /api/admin/10067876 Ladányi Gusztáv (MTMT API user, admin) Ladányi Gusztáv true true 2024-10-30T14:44:14.592+0000 true false true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType Szakcikk (Folyóiratcikk) 101 true 10000059 true 1 /api/category/1 Category Tudományos true 1 Kunszenti-Kovács, D. true true /api/journal/138 REVIEWED ADVANCES IN MATHEMATICS 0001-8708 1090-2082 true false 138 false 138 true 0001-8708 1090-2082 Journal FOREIGN 437 109414 109414 74 2024 We generalize subgraph densities, arising in dense graph limit theory, to Markov spaces (symmetric measures on the square of a standard Borel space). More generally, we define an analogue of the set of homomorphisms in the form of a measure on maps of a finite graph into a Markov space. The existence of such homomorphism measures is not always guaranteed, but can be established under rather natural smoothness conditions on the Markov space and sparseness conditions on the graph. This continues a direction in graph limit theory in which such measures are viewed as limits of graph sequences. © 2023 Elsevier Inc. 2024 true true true false true false GREEN 2026-02-16 true http://real.mtak.hu/191162 1 0 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 9 9 Folyóiratcikk Journal Article 24 1 Könyvrészlet Chapter in Book 25 0 Könyv Book 23 0 Egyéb konferenciaközlemény Conference paper 31 0 Egyéb konferenciakötet Conference proceedings 32 0 Oltalmi formák Protection forms 26 0 Disszertáció Thesis 28 0 Egyéb Miscellaneous 29 0 Alkotás Achievement 22 0 Kutatási adat Research data 33 0 Folyóiratcikk Journal Article 24 0 0 0 Könyvrészlet Chapter in Book 25 0 0 0 Könyv Book 23 0 0 0 Egyéb konferenciaközlemény Conference paper 31 0 0 0 Egyéb konferenciakötet Conference proceedings 32 0 0 0 Oltalmi formák Protection forms 26 0 0 0 Disszertáció Thesis 28 0 0 0 Egyéb Miscellaneous 29 0 0 0 Alkotás Achievement 22 0 0 0 Kutatási adat Research data 33 0 0 0 2024 0 1 0 1 0 D1 false 10011745,10029480 false false false 2024-02-25T14:05:44.190+0000 Mesterséges Intelligencia (HRN RAMKI); Synergy (HRN RAMKI) 3 18 2 3 0 true 10080081 10067876 Language 10002 /api/language/10002 Angol Angol English true 2 true PersonAuthorship 113653688 /api/authorship/113653688 Kunszenti-Kovács, D. [Kunszenti-Kovács, Dávid (Matematika), szerző] Mesterséges Intelligencia (HRN RAMKI) 1 0.333 true false false Author 10029480 /api/author/10029480 Kunszenti-Kovács Dávid (Matematika) Kunszenti-Kovács Dávid true 10029480 true Kunszenti-Kovács D. true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PersonAuthorship 113653689 /api/authorship/113653689 Lovász, L. ✉ [Lovász, László (Matematika, számí...), szerző] Synergy (HRN RAMKI) 2 0.333 false false true Author 10000916 /api/author/10000916 Lovász László (Matematika, számítógéptudomány) Lovász László true 10000916 true Lovász L. true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PersonAuthorship 113653690 /api/authorship/113653690 Szegedy, B. [Szegedy, Balázs (Csoport elmélet), szerző] Mesterséges Intelligencia (HRN RAMKI) 3 0.333 false true false Author 10011745 /api/author/10011745 Szegedy Balázs (Csoport elmélet) Szegedy Balázs true 10011745 true Szegedy B. true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PublicationIdentifier 25234064 /api/publicationidentifier/25234064 DOI: 10.1016/j.aim.2023.109414 PlainSource 6 /api/publicationsource/6 DOI PublicationSourceType 10001 /api/publicationsourcetype/10001 DOI true true true DOI DOI https://doi.org/@@@ true true 6 true IDENTICAL 10.1016/j.aim.2023.109414 https://doi.org/10.1016/j.aim.2023.109414 false true PublicationIdentifier 25273012 /api/publicationidentifier/25273012 WoS: 001125952500001 PlainSource 1 /api/publicationsource/1 WoS PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true WoS WoS https://www.webofscience.com/wos/woscc/full-record/@@@ true true 1 true IDENTICAL 001125952500001 https://www.webofscience.com/wos/woscc/full-record/001125952500001 false true PublicationIdentifier 25920732 /api/publicationidentifier/25920732 REAL: 191162 SwordSource 36 /api/publicationsource/36 REAL PublicationSourceType 10007 /api/publicationsourcetype/10007 Repozitórium true true true REAL REAL http://real.mtak.hu/@@@ true true 36 true GREEN true 191162 http://real.mtak.hu/191162 false true PublicationIdentifier 25234096 /api/publicationidentifier/25234096 Scopus: 85177855112 PlainSource 3 /api/publicationsource/3 Scopus PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true Scopus Scopus http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@ true true 3 true IDENTICAL 85177855112 http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85177855112 false true Keyword 1188812 /api/keyword/1188812 Graph limit true 1188812 true Keyword 2237091 /api/keyword/2237091 Subgraph density true true Keyword 3278827 /api/keyword/3278827 Markov space true true SjrRating 11480780 /api/sjrrating/11480780 sjr:D1 (2024) Scopus - Mathematics (miscellaneous) ADVANCES IN MATHEMATICS 0001-8708 1090-2082 23 0.1 journal RatingType 10002 /api/ratingtype/10002 sjr sjr true true ClassificationExternal 2601 /api/classificationexternal/2601 Scopus - Mathematics (miscellaneous) true 2601 true D1 DIRECT true true Reference 48455169 /api/reference/48455169 1. Backhausz, Á., Szegedy, B., Action convergence of operators and graphs (2022) Can. J. Math., 74, pp. 72-121 1 false true Reference 48455170 /api/reference/48455170 2. Bogachev, V.I., Ruas, M.A.S., Measure Theory, Volume II (2007), Springer 2 false true Reference 48455171 /api/reference/48455171 3. Borgs, C., Chayes, J., Cohn, H., Holden, N., Sparse exchangeable graphs and their limits via graphon processes (2018) J. Mach. Learn. Res., 18. , 71 pp 3 false true Reference 48455172 /api/reference/48455172 4. Borgs, C., Chayes, J., Cohn, H., Lovász, L.M., Identifiability for graphexes and the weak kernel metric (2019) Building Bridges II, Bolyai Society Mathematical Studies, 28, pp. 29-157. , I. Bárány G.O.H. Katona A. Sali Springer Berlin–Heidelberg 4 false true Reference 48455173 /api/reference/48455173 5. Borgs, C., Chayes, J., Cohn, H., Zhao, Y., An Lp theory of sparse graph convergence I: limits, sparse random graph models, and power law distributions (2019) Trans. Am. Math. Soc., 372, pp. 3019-3062 5 false true Reference 48455174 /api/reference/48455174 6. Borgs, C., Chayes, J.T., Lovász, L., Sós, V.T., Vesztergombi, K., Convergent graph sequences II: multiway cuts and statistical physics (2012) Ann. Math., 176, pp. 151-219 6 false true Reference 48455175 /api/reference/48455175 7. Chang, J.T., Pollard, D., Conditioning as disintegration (1997) Stat. Neerl., 51, pp. 287-317 7 false true Reference 48455176 /api/reference/48455176 8. Doležal, M., Grebík, J., Hladký, J., Rocha, I., Rozhoň, V., Cut distance identifying graphon parameters over weak* limits (2022) J. Comb. Theory, Ser. A, 189 8 false true Reference 48455177 /api/reference/48455177 9. Einsiedler, M., Ward, T., Functional Analysis, Spectral Theory, and Applications (2017) Graduate Texts in Mathematics, 276. , Springer 9 false true Reference 48455178 /api/reference/48455178 10. Finner, H., A generalization of Hölder's inequality and some probability inequalities (1992) Ann. Probab., 20, pp. 1893-1901 10 false true Reference 48455179 /api/reference/48455179 11. Frenkel, P., Convergence of graphs with intermediate density (2018) Trans. Am. Math. Soc., 370, pp. 3363-3404 11 false true Reference 48455180 /api/reference/48455180 12. Glim, J., Jaffe, A., Quantum Physics, a Functional Integral Point of View (1981), Springer-Verlag 12 false true Reference 48455181 /api/reference/48455181 13. Hatami, H., Graph norms and Sidorenko's conjecture (2010) Isr. J. Math., 175, pp. 125-150 13 false true Reference 48455182 /api/reference/48455182 14. Král', D., Martins, T., Pach, P.P., Wrochna, M., The step Sidorenko property and non-norming edge-transitive graphs (2019) J. Comb. Theory, Ser. A, 162, pp. 34-54 14 false true Reference 48455183 /api/reference/48455183 15. Kunszenti-Kovács, D., Lovász, L., Szegedy, B., Multigraph limits, unbounded kernels, and Banach space decorated graphs (2022) J. Funct. Anal., 282 (2) 15 false true Reference 48455184 /api/reference/48455184 16. Kunszenti-Kovács, D., Lovász, L., Szegedy, B., Measures on the square as sparse graph limits (2019) J. Comb. Theory, Ser. B, 138, pp. 1-40 16 false true Reference 48455185 /api/reference/48455185 17. Kunszenti-Kovács, D., Lovász, L., Szegedy, B., Random homomorphisms into the orthogonality graph 17 false true Reference 48455186 /api/reference/48455186 18. Lovász, L., Large Networks and Graph Limits (2012), Amer. Math. Soc. Providence, RI 18 false true Reference 48455187 /api/reference/48455187 19. Lovász, L., Szegedy, B., The graph theoretic moment problem 19 false true Reference 48455188 /api/reference/48455188 20. Lovász, L., Szegedy, B., Finitely forcible graphons (2011) J. Comb. Theory, Ser. B, 101, pp. 269-301 20 false true Reference 48455189 /api/reference/48455189 21. Veitch, V., Roy, D.M., The class of random graphs arising from exchangeable random measures UR:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85177855112&doi=10.1016%2fj.aim.2023.109414&partnerID=40&md5=18dfc53b6dd6c12fcebe5ed6c63490b1 21 false true /api/publication/34479868 Kunszenti-Kovács D. et al. Subgraph densities in Markov spaces. (2024) ADVANCES IN MATHEMATICS 0001-8708 1090-2082 437<div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10029480"><a href="/gui2/?type=authors&mode=browse&sel=10029480" target="_blank">Kunszenti-Kovács D. (<span class="authorship-author-name">Kunszenti-Kovács Dávid</span> <span class="authorAux-mtmt"> Matematika</span>) </a> </span> <span class="author-affil"><span title="HUN-REN Rényi Alfréd Matematikai Kutatóintézet">HRN RAMKI</span>/Mesterséges Intelligencia</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10000916"><a href="/gui2/?type=authors&mode=browse&sel=10000916" target="_blank">Lovász L. ✉ (<span class="authorship-author-name">Lovász László</span> <span class="authorAux-mtmt"> Matematika, számítógéptudomány</span>) </a> </span> <span class="author-affil"><span title="HUN-REN Rényi Alfréd Matematikai Kutatóintézet">HRN RAMKI</span>/Synergy</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10011745"><a href="/gui2/?type=authors&mode=browse&sel=10011745" target="_blank">Szegedy B. 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