{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":1,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":20,"n_cols":5,"rows_kept":20,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[12,2,12,3],[13,2,13,3],[17,2,17,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910788855103321"]
[null,null,"Autore",null,"Kigami Jun"]
[null,null,"Titolo",null,"Volume doubling measures and heat kernel estimates on self-similar sets / / Jun Kigami"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2009"]
[{"$nulls":4},"©2009"]
[null,null,"ISBN",null,"1-4704-0538-5"]
[null,null,"Descrizione fisica",null,"1 online resource (110 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 199, Number 932"]
[null,null,"Disciplina",null,"515.42"]
[null,null,"Soggetti",null,"Measure theory"]
[{"$nulls":4},"Fractals"]
[{"$nulls":4},"Self-similar processes"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 199, Number 932 (third of 6 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Prologue\"\"; \"\"0.1. Introduction\"\"; \"\"0.2. the Unit square\"\"; \"\"Chapter 1. Scales and Volume Doubling Property of Measures\"\"; \"\"1.1. Scale\"\"; \"\"1.2. Self-similar structures and measures\"\"; \"\"1.3. Volume doubling property\"\"; \"\"1.4. Locally finiteness and gentleness\"\"; \"\"1.5. Rationally ramified self-similar sets 1\"\"; \"\"1.6. Rationally ramified self-similar sets 2\"\"; \"\"1.7. Examples\"\"; \"\"Chapter 2. Construction of Distances\"\"; \"\"2.1. Distances associated with scales\"\"; \"\"2.2. Intersection type\"\"; \"\"2.3. Qdistances adapted to scales\"\""]
[{"$nulls":4},"\"\"Chapter 3. Heat Kernel and Volume Doubling Property of Measures\"\"\"\"3.1. Dirichlet forms on self-similar sets\"\"; \"\"3.2. Heat kernel estimate\"\"; \"\"3.3. P.c.f. self-similar sets\"\"; \"\"3.4. Sierpinski carpets\"\"; \"\"3.5. Proof of Theorem 3.2.3\"\"; \"\"Appendix\"\"; \"\"A. Existence and continuity of a heat kernel\"\"; \"\"B. Recurrent case and resistance form\"\"; \"\"C. Heat kernel estimate to the volume doubling property\"\"; \"\"Bibliography\"\"; \"\"Assumptions, Conditions and Properties in Parentheses\"\"; \"\"List of Notations\"\"; \"\"Index\"\"; \"\"A\"\"; \"\"C\"\"; \"\"D\"\"; \"\"E\"\"; \"\"G\"\"; \"\"H\"\"; \"\"I\"\"; \"\"K\"\"; \"\"L\"\"; \"\"M\"\"; \"\"N\"\""]
[{"$nulls":4},"\"\"P\"\"\"\"Q\"\"; \"\"R\"\"; \"\"S\"\"; \"\"U\"\"; \"\"V\"\"; \"\"W\"\""]