{"title":"更正:记忆逐渐增加的大象随机行走的高斯波动 (2024 J. Phys. A: Math. Theor. 57 065203)","authors":"Rafik Aguech, Mohamed El Machkouri","doi":"10.1088/1751-8121/ad6655","DOIUrl":null,"url":null,"abstract":"The standard elephant random walk (ERW) is a discrete-time random walk introduced by Schütz and Trimper (2004 <italic toggle=\"yes\">Phys. Rev.</italic> E <bold>70</bold> 045101) with the particularity that the next step of the walker depends on its whole past through a parameter <inline-formula>\n<tex-math><?CDATA $p\\in[0,1]$?></tex-math><mml:math overflow=\"scroll\"><mml:mrow><mml:mi>p</mml:mi><mml:mo>∈</mml:mo><mml:mo stretchy=\"false\">[</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">]</mml:mo></mml:mrow></mml:math><inline-graphic xlink:href=\"aad6655ieqn1.gif\"></inline-graphic></inline-formula>. In this note, we give a correction for the central limit theorem in the superdiffusive regime of the ERW with gradually increasing memory established by Aguech and El Machkouri (2024 <italic toggle=\"yes\">J. Phys. A: Math. Theor.</italic> <bold>57</bold> 065203, theorem 2). The mistake was pointed out by Roy <italic toggle=\"yes\">et al</italic> (2024 arXiv:2403.02881, remark 1.1).","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"22 1","pages":""},"PeriodicalIF":2.0000,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Corrigendum: Gaussian fluctuations of the elephant random walk with gradually increasing memory (2024 J. Phys. A: Math. Theor. 57 065203)\",\"authors\":\"Rafik Aguech, Mohamed El Machkouri\",\"doi\":\"10.1088/1751-8121/ad6655\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The standard elephant random walk (ERW) is a discrete-time random walk introduced by Schütz and Trimper (2004 <italic toggle=\\\"yes\\\">Phys. Rev.</italic> E <bold>70</bold> 045101) with the particularity that the next step of the walker depends on its whole past through a parameter <inline-formula>\\n<tex-math><?CDATA $p\\\\in[0,1]$?></tex-math><mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:mi>p</mml:mi><mml:mo>∈</mml:mo><mml:mo stretchy=\\\"false\\\">[</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\\\"false\\\">]</mml:mo></mml:mrow></mml:math><inline-graphic xlink:href=\\\"aad6655ieqn1.gif\\\"></inline-graphic></inline-formula>. In this note, we give a correction for the central limit theorem in the superdiffusive regime of the ERW with gradually increasing memory established by Aguech and El Machkouri (2024 <italic toggle=\\\"yes\\\">J. Phys. A: Math. Theor.</italic> <bold>57</bold> 065203, theorem 2). The mistake was pointed out by Roy <italic toggle=\\\"yes\\\">et al</italic> (2024 arXiv:2403.02881, remark 1.1).\",\"PeriodicalId\":16763,\"journal\":{\"name\":\"Journal of Physics A: Mathematical and Theoretical\",\"volume\":\"22 1\",\"pages\":\"\"},\"PeriodicalIF\":2.0000,\"publicationDate\":\"2024-08-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Physics A: Mathematical and Theoretical\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1088/1751-8121/ad6655\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Physics A: Mathematical and Theoretical","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1751-8121/ad6655","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
Corrigendum: Gaussian fluctuations of the elephant random walk with gradually increasing memory (2024 J. Phys. A: Math. Theor. 57 065203)
The standard elephant random walk (ERW) is a discrete-time random walk introduced by Schütz and Trimper (2004 Phys. Rev. E 70 045101) with the particularity that the next step of the walker depends on its whole past through a parameter p∈[0,1]. In this note, we give a correction for the central limit theorem in the superdiffusive regime of the ERW with gradually increasing memory established by Aguech and El Machkouri (2024 J. Phys. A: Math. Theor.57 065203, theorem 2). The mistake was pointed out by Roy et al (2024 arXiv:2403.02881, remark 1.1).
期刊介绍:
Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.