5182500a037b96eda7c013340a84e4fd phystamec_a2026m9v697p131719.pdf 62c03f5e5a722b1ca92bf70c7a7080b91bfc6f32 phystamec_a2026m9v697p131719.pdf 72c87d99d096687ac19d23cc1e789fb87a5c83f1872b50a20c04b41dc9fdb0f7 phystamec_a2026m9v697p131719.pdf Title: Area under subdiffusive random walks Subject: Physica A: Statistical Mechanics and its Applications, 697 (2026) 131719. doi:10.1016/j.physa.2026.131719 Keywords: Stochastic functionals,Subdiffusion,Ergodicity breaking Author: V. Méndez Creator: Elsevier Producer: Acrobat Distiller 8.1.0 (Windows) CreationDate: Wed Jun 24 08:21:45 2026 CEST ModDate: Wed Jun 24 08:24:34 2026 CEST Custom Metadata: yes Metadata Stream: yes Tagged: yes UserProperties: no Suspects: no Form: none JavaScript: no Pages: 24 Encrypted: no Page size: 544.252 x 742.677 pts Page rot: 0 File size: 2976073 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- BMJLEB+CharisSIL-Italic Type 1 Builtin yes yes yes 747 0 WNMWRD+CharisSIL CID TrueType Identity-H yes yes yes 751 0 LCGFRY+CharisSIL Type 1 Builtin yes yes yes 757 0 XVZVYO+LMRoman10-Regular CID Type 0C Identity-H yes yes yes 761 0 NPMLNL+t1-uni-regular Type 1 Builtin yes yes yes 767 0 AAAJJD+CharisSIL CID TrueType Identity-H yes yes yes 771 0 BJQLGL+STIXMath-Italic Type 1 Builtin yes yes yes 779 0 TMULQD+STIXMath-Regular Type 1 Builtin yes yes yes 783 0 TOCSWD+CharisSIL-Bold Type 1 Builtin yes yes yes 787 0 ACLZUB+STIXMathSans-Regular Type 1 Builtin yes yes yes 179 0 AAAAXG+CharisSIL-Italic CID TrueType Identity-H yes yes yes 183 0 MEMJNF+STIXMathCalligraphy-Regular Type 1 Builtin yes yes yes 190 0 AAAAAD+CharisSIL CID TrueType Identity-H yes yes yes 194 0 NFXJOS+CharisSIL-Italic CID TrueType Identity-H yes yes yes 201 0 AKSUHP+STIXMathExtensions-Regular Type 1 Builtin yes yes yes 207 0 TKLJNA+STIXMathScript-Regular Type 1 Builtin yes yes yes 212 0 UTDEXO+dsrom8 Type 1 Builtin yes yes yes 49 0 XTHYEF+STIXMath-BoldItalic Type 1 Builtin yes yes yes 86 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2026-07-08 04:18:45 CEST RepresentationInformation: phystamec_a2026m9v697p131719.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2026-07-07 16:13:58 CEST Size: 2976073 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Tagged PDF PDFMetadata: Objects: 4462 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: ViewerPreferences: HideToolbar: false HideMenubar: false HideWindowUI: false FitWindow: false CenterWindow: false DisplayDocTitle: true NonFullScreenPageMode: UseNone Direction: L2R ViewArea: CropBox ViewClip: CropBox PrintArea: CropBox PageClip: CropBox PageLayout: SinglePage PageMode: UseOutlines Language: en-US Outlines: Item: Title: Area under subdiffusive random walks Children: Item: Title: Introduction Item: Title: Stochastic functionals and ergodic properties Item: Title: Area Children: Item: Title: Area under the trajectory of a Brownian motion Item: Title: Area under the trajectory of a Brownian motion with time-dependent diffusivity Item: Title: Area under the trajectory of a fractional Brownian motion Item: Title: Area under the trajectory of a subdiffusive-CTRW Item: Title: Area under the trajectory of a HDP Item: Title: Absolute Area Children: Item: Title: Absolute area under Gaussian processes Children: Item: Title: Absolute area under a Brownian motion Item: Title: Absolute area under SBM Item: Title: Absolute area under fBM Item: Title: Absolute area under the trajectory of non-Gaussian process Children: Item: Title: Absolute area under a subdiffusive-CTRW Item: Title: Absolute area under HDP Item: Title: EB parameter discussion Item: Title: PDF Item: Title: Conclusions Item: Title: CRediT authorship contribution statement Item: Title: Declaration of competing interest Item: Title: Acknowledgments Item: Title: Appendix A. Derivation of Eq. a2sct Item: Title: Appendix B. Derivation of Eq. A2dx Item: Title: Appendix C. Derivation of Eq. aiaaaa Item: Title: Appendix D. Derivation of Eq. aa12 Item: Title: Appendix E. Derivation of Eqs. aam1,aam2 Item: Title: Appendix F. Numerical Simulations Methods Item: Title: Appendix G. Results in terms of the MSD exponent γ Children: Item: Title: SBM Item: Title: fBM Item: Title: CTRW Item: Title: HDP Item: Title: Appendix H. PDFs for fBM and HDP Item: Title: Data availability Item: Title: References Info: Title: Area under subdiffusive random walks Author: V. 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