https://m2.mtmt.hu/ eng 2026-05-30 21:00 JournalArticle 35598288 VALIDATED true Department of Stochastics, Institute of Mathematics, Budapest University of Technology and Economics, Muegyetem rpk. 1-3., Budapest, H-1111, Hungary Department of Morphology and Geometric Modeling, Budapest University of Technology and Economics, Muegyetem rpk. 1-3., Budapest, H-1111, Hungary HUN-REN-BME Morphodynamics Research Group, Budapest University of Technology and Economics, Muegyetem rpk. 1-3., Budapest, H-1111, Hungary Department of Mechanics,Materials and Structures, Budapest University of Technology and Economics, Muegyetem rpk. 1-3., Budapest, H-1111, Hungary Export Date: 25 November 2024 Correspondence Address: Bárány, B.; Department of Stochastics, Muegyetem rpk. 1-3., Hungary; email: barany.balazs@ttk.bme.hu Funding details: Budapesti Műszaki és Gazdaságtudományi Egyetem, BME Funding details: Nemzeti Kutatási, Fejlesztési és Innovaciós Alap, NKFIA Funding details: 134199, 149429 Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFIH, KKP144059, K142169, FK134251 Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFIH Funding text 1: BB acknowledges support from Grants NKFI FK134251, NKFI K142169 and NKFI KKP144059 \\u2018Fractal geometry and applications\\u2019 Research Group. GD acknowledges support from the NKFIH Hungarian Research Fund Grants 134199 and 149429, and BME FIKP-V\\u00CDZ. \\u00C1Sz is supported by the Doctoral Excellence Fellowship Programme (DCEP) is funded by the National Research Development and Innovation Fund of the Ministry of Culture and Innovation and the Budapest University of Technology and Economics under a grant agreement with the National Research, Development and Innovation Office. 0 false 2026-05-24T11:54:22.400+0000 2024-11-26T09:35:37.098+0000 2024-11-25T08:43:17.769+0000 true 10089433 Szesztay Ágoston Péter /api/author/10089433 Author true 2025-03-24T14:18:13.102+0000 2025-03-11T08:12:24.928+0000 true 521 Szuper Admin /api/admin/521 Admin true Admin 10014568 /api/admin/10014568 Vándor Andrea true 10014568 true 2025-06-04T14:23:56.649+0000 true false true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType 101 true 10000059 true 1 /api/category/1 Category true 1 Bárány, Balázs On an abrasion-motivated fractal model true true /api/journal/3406 REVIEWED true false 3406 false 3406 true 0951-7715 1361-6544 Journal FOREIGN 37 12 125024 125024 25 2024 In this paper, we consider a fractal model motivated by the abrasion of convex polyhedra, where the abrasion is realised by chipping small neighbourhoods of vertices. After providing a formal description of the successive chippings, we show that the net of edges converge to a compact limit set under mild assumptions. Furthermore, we study the upper box-counting dimension and the Hausdorff dimension of the limiting object of the net of edges after infinitely many chipping. true 2024 true true true false true false NONE 2026-05-24 false 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 D1 false 10089433 false false false 2025-02-23T08:43:18.224+0000 HUN-REN-BME Szilárd Testek Morfodinamikája Kuta... 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src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10042216"><a href="/gui2/?type=authors&mode=browse&sel=10042216" target="_blank">Bárány Balázs ✉ (<span class="authorship-author-name">Bárány Balázs</span> <span class="authorAux-mtmt"> sztochasztika</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Natural Sciences">FNS</span>/<span title="Institute of Mathematics">IM</span>/Department of Stochastics</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="1343817"><a href="/gui2/?type=authors&mode=browse&sel=1343817" target="_blank">Domokos Gábor (<span class="authorship-author-name">Domokos Gábor</span> <span class="authorAux-mtmt"> Alkalmazott matematika, nemlineáris mechanika</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Architecture">FA</span>/Department of Morphology and Geometric Modeling; <span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Architecture">FA</span>/<span title="Department of Morphology and Geometric Modeling">DMGM</span>/HUN-REN-BME Morphodynamics Research Group</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10089433"><a href="/gui2/?type=authors&mode=browse&sel=10089433" target="_blank">Szesztay Ágoston (<span class="authorship-author-name">Szesztay Ágoston Péter</span> <span class="authorAux-mtmt"> Szabadon formált hajlításmentes szerkezetek </span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Architecture">FA</span>/Department of Mechanics, Materials and Structures</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;35598288" target="_blank">On an abrasion-motivated fractal model</a></div> <div> <span class="journal-title">NONLINEARITY</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0951-7715">0951-7715</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1361-6544">1361-6544</a>)</span>: <span class="journal-volume">37</span> <span class="journal-issue">12</span> <span class="page"> Paper 125024. 25 p. </span> <span class="year">(2024)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Language: English | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1088/1361-6544/ad8c0f" target="_blank" href="https://doi.org/10.1088/1361-6544/ad8c0f"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="001352773000001" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/001352773000001"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="85209077104" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85209077104"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="https://iopscience.iop.org/article/10.1088/1361-6544/ad8c0f" target="_blank" href="https://iopscience.iop.org/article/10.1088/1361-6544/ad8c0f"> Other URL </a> </span> </span> <OnlyViewableByAuthor><div class="ratings"> <div class="journal-subject">Journal subject: Scopus - Mathematical Physics&nbsp;&nbsp;&nbsp;Rank:&nbsp;D1</div> <div class="journal-subject">Journal subject: Scopus - Applied Mathematics&nbsp;&nbsp;&nbsp;Rank:&nbsp;Q1</div> <div class="journal-subject">Journal subject: Scopus - Physics and Astronomy (miscellaneous)&nbsp;&nbsp;&nbsp;Rank:&nbsp;Q1</div> <div class="journal-subject">Journal subject: Scopus - Statistical and Nonlinear Physics&nbsp;&nbsp;&nbsp;Rank:&nbsp;Q1</div> </div></OnlyViewableByAuthor> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;35598288&sort=publishedYear,desc&sort=title"> Number of cited publications: 9 </a> </div> <div class="mtid"><span class="long-pub-mtid">Publication: 35598288</span> | <span class="status-data status-VALIDATED"> Validated </span> Core Citing | <span class="type-subtype">Journal Article ( Article ) </span> | <span class="pub-category">Scientific</span> | <span class="publication-sourceOfData">kézi felvitel</span> </div> <div class="lastModified">Last Modified: 2024.11.26. 10:35 Katalin Andódy (BME admin4) </div> <div class="lockedBy">Centrally managed 2025.06.04. 16:23 Andrea Vándor (VA, admin) </div> <pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Comments</u>: Department of Stochastics, Institute of Mathematics, Budapest University of Technology and Economics, Muegyetem rpk. 1-3., Budapest, H-1111, Hungary Department of Morphology and Geometric Modeling, Budapest University of Technology and Economics, Muegyetem rpk. 1-3., Budapest, H-1111, Hungary HUN-REN-BME Morphodynamics Research Group, Budapest Uni...</pre> </div></div>