Measuring cosmic structure: Minkowski valuations and mark correlations for cosmological morphometry
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2000
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | München, Univ., Fak. für Physik, Diss., 2001 |
| Beschreibung: | 156 S. Ill., graph. Darst. |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV013679959 | ||
| 003 | DE-604 | ||
| 005 | 20011012 | ||
| 007 | t | ||
| 008 | 010410s2000 ad|| m||| 00||| eng d | ||
| 016 | 7 | |a 961273429 |2 DE-101 | |
| 035 | |a (OCoLC)48728959 | ||
| 035 | |a (DE-599)BVBBV013679959 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-19 |a DE-12 | ||
| 100 | 1 | |a Beisbart, Claus |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Measuring cosmic structure |b Minkowski valuations and mark correlations for cosmological morphometry |c von Claus Beisbart |
| 264 | 1 | |c 2000 | |
| 300 | |a 156 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a München, Univ., Fak. für Physik, Diss., 2001 | ||
| 650 | 7 | |a Hochschulschrift |2 gtt | |
| 650 | 0 | 7 | |a Weltall |0 (DE-588)4079154-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Minkowski-Quermaßintegral |0 (DE-588)4293938-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Integralgeometrie |0 (DE-588)4161911-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dichteverteilung |0 (DE-588)4489181-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Galaxienhaufen |0 (DE-588)4244847-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Galaxienhaufen |0 (DE-588)4244847-5 |D s |
| 689 | 0 | 1 | |a Weltall |0 (DE-588)4079154-3 |D s |
| 689 | 0 | 2 | |a Dichteverteilung |0 (DE-588)4489181-7 |D s |
| 689 | 0 | 3 | |a Integralgeometrie |0 (DE-588)4161911-0 |D s |
| 689 | 0 | 4 | |a Minkowski-Quermaßintegral |0 (DE-588)4293938-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009346989&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009346989 | |
Datensatz im Suchindex
| _version_ | 1812460846611169280 |
|---|---|
| adam_text |
CONTENTS
I THE HIERARCHY OF MINKOWSKI VALUATIONS AND THE MOR
PHOLOGY OF COSMIC STRUCTURE 3
1 THE HIERARCHY OF MINKOWSKI VALUATIONS. 5
1.1 BASIC ELEMENTS OF A COVARIANT INTEGRAL GEOMETRY. 6
1.2 MIXED MEASURES AND THE FORMULA OF STEINER. 9
1.3 LOCAL MEASURES. 11
1.4 THE CHARACTERIZATION THEOREM. 13
1.5 SECOND-RANK MINKOWSKI VALUATIONS. 15
1.6 INTEGRAL GEOMETRIC RESULTS. 18
1.7 THE MINKOWSKI VALUATIONS OF SIMPLE PATTERNS. 19
2 DEALING WITH DATA - A STEP TOWARDS PHYSICAL MODELS. 23
2.1 THE STRUCTURE OF COSMOLOGICAL DATA SETS . 23
2.1.1 FIELDS. 23
2.1.2 POINT SETS. 25
2.2 STRUCTURE FUNCTIONS . 26
2.3 TESTS. 31
2.3.1 STATISTICAL ROBUSTNESS. 31
2.3.2 MODEL CLUSTERS . 35
2.4 SUMMARY: A SET OF ROBUST STRUCTURE FUNCTIONS. 37
3 APPLICATIONS: GALAXY CLUSTERS. 41
3.1 CLUSTERS OF GALAXIES AND THEIR COSMOLOGICAL IMPORTANCE. 41
3.2 CLUSTER SIMULATIONS AND CLUSTER IMAGES. 44
3.3 THE GIF CLUSTERS: THE MORPHOLOGY-COSMOLOGY CONNECTION . 46
3.4 THE MORPHOLOGY OF X-RAY CLUSTERS AND FUNDAMENTAL PLANE RELATIONS 55
3.4.1 THE X-RAY SUBSTRUCTURE OF GALAXY CLUSTERS. 56
3.4.2 RELATIONSHIPS AMONG THE SUBSTRUCTURE FUNCTIONS. 64
3.4.3 PROJECTION EFFECTS. 66
3.4.4 FUNDAMENTAL PLANE RELATIONS AND THE SUBSTRUCTURE OF GALAXY CLUS
TERS . 68
3.4.5 GAS AND DARK MATTER DISTRIBUTION. 93
3.5 A MORPHOLOGY-COSMOLOGY CONNECTION FOR OPTICAL GALAXY CLUSTERS? . 95
3.6 SUMMARY AND OUTLOOK.102
9
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/961273429
2
II MARK CORRELATIONS AND THE BIAS PROBLEM 105
4 MARKED POINT PROCESSES AND THEIR DESCRIPTION.
ILL
4.1 BASIC THEORY OF MARKED POINT PROCESSES .ILL
4.2 MARK SEGREGATION.115
5 STATISTICAL TEST QUANTITIES .117
5.1 TWO-POINT QUANTITIES.117
5.2 HIGHER-ORDER QUANTITIES.120
5.3 MARK-WEIGHTED CORRELATIONS FOR
GEOMETRICAL MARKS.121
6 LUMINOSITY AND MORPHOLOGY SEGREGATION IN THE SSRS 2 GALAXY CATALOGUE
125
6.1 LUMINOSITY SEGREGATION.125
6.2 MORPHOLOGY SEGREGATION.129
6.3 UNDERSTANDING MARK SEGREGATION.129
6.3.1 THE RANDOM FIELD MODEL.129
6.3.2 THE TWO-SPECIES MODEL. 132
7 A FRAMEWORK FOR THE BIAS DESCRIPTION.137
7.1 VOLUME- AND FLUX-LIMITED SAMPLES.137
7.2 SUMMARY AND OUTLOOK.139
APPENDIX 143
A SOME MORE WORDS ON MINKOWSKI VALUATIONS .143
A.L THE CROFTON FORMULAE AND THE COMPUTATION ON A GRID.143
A. 1.1 THE CROFTON FORMULAE .143
A. 1.2 A GRID FORMALISM.144
A.2 COMPUTATIONAL DETAILS FOR THE MINKOWSKI FUNCTIONALS.146
REFERENCES
151 |
| any_adam_object | 1 |
| author | Beisbart, Claus |
| author_facet | Beisbart, Claus |
| author_role | aut |
| author_sort | Beisbart, Claus |
| author_variant | c b cb |
| building | Verbundindex |
| bvnumber | BV013679959 |
| ctrlnum | (OCoLC)48728959 (DE-599)BVBBV013679959 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV013679959</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20011012</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">010410s2000 ad|| m||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">961273429</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)48728959</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013679959</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-19</subfield><subfield code="a">DE-12</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Beisbart, Claus</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Measuring cosmic structure</subfield><subfield code="b">Minkowski valuations and mark correlations for cosmological morphometry</subfield><subfield code="c">von Claus Beisbart</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">156 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">München, Univ., Fak. für Physik, Diss., 2001</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Hochschulschrift</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Weltall</subfield><subfield code="0">(DE-588)4079154-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Minkowski-Quermaßintegral</subfield><subfield code="0">(DE-588)4293938-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Integralgeometrie</subfield><subfield code="0">(DE-588)4161911-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dichteverteilung</subfield><subfield code="0">(DE-588)4489181-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Galaxienhaufen</subfield><subfield code="0">(DE-588)4244847-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Galaxienhaufen</subfield><subfield code="0">(DE-588)4244847-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Weltall</subfield><subfield code="0">(DE-588)4079154-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Dichteverteilung</subfield><subfield code="0">(DE-588)4489181-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Integralgeometrie</subfield><subfield code="0">(DE-588)4161911-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="4"><subfield code="a">Minkowski-Quermaßintegral</subfield><subfield code="0">(DE-588)4293938-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009346989&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009346989</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV013679959 |
| illustrated | Illustrated |
| indexdate | 2024-10-09T18:09:18Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009346989 |
| oclc_num | 48728959 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-12 |
| owner_facet | DE-19 DE-BY-UBM DE-12 |
| physical | 156 S. Ill., graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| record_format | marc |
| spelling | Beisbart, Claus Verfasser aut Measuring cosmic structure Minkowski valuations and mark correlations for cosmological morphometry von Claus Beisbart 2000 156 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Univ., Fak. für Physik, Diss., 2001 Hochschulschrift gtt Weltall (DE-588)4079154-3 gnd rswk-swf Minkowski-Quermaßintegral (DE-588)4293938-0 gnd rswk-swf Integralgeometrie (DE-588)4161911-0 gnd rswk-swf Dichteverteilung (DE-588)4489181-7 gnd rswk-swf Galaxienhaufen (DE-588)4244847-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Galaxienhaufen (DE-588)4244847-5 s Weltall (DE-588)4079154-3 s Dichteverteilung (DE-588)4489181-7 s Integralgeometrie (DE-588)4161911-0 s Minkowski-Quermaßintegral (DE-588)4293938-0 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009346989&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Beisbart, Claus Measuring cosmic structure Minkowski valuations and mark correlations for cosmological morphometry Hochschulschrift gtt Weltall (DE-588)4079154-3 gnd Minkowski-Quermaßintegral (DE-588)4293938-0 gnd Integralgeometrie (DE-588)4161911-0 gnd Dichteverteilung (DE-588)4489181-7 gnd Galaxienhaufen (DE-588)4244847-5 gnd |
| subject_GND | (DE-588)4079154-3 (DE-588)4293938-0 (DE-588)4161911-0 (DE-588)4489181-7 (DE-588)4244847-5 (DE-588)4113937-9 |
| title | Measuring cosmic structure Minkowski valuations and mark correlations for cosmological morphometry |
| title_auth | Measuring cosmic structure Minkowski valuations and mark correlations for cosmological morphometry |
| title_exact_search | Measuring cosmic structure Minkowski valuations and mark correlations for cosmological morphometry |
| title_full | Measuring cosmic structure Minkowski valuations and mark correlations for cosmological morphometry von Claus Beisbart |
| title_fullStr | Measuring cosmic structure Minkowski valuations and mark correlations for cosmological morphometry von Claus Beisbart |
| title_full_unstemmed | Measuring cosmic structure Minkowski valuations and mark correlations for cosmological morphometry von Claus Beisbart |
| title_short | Measuring cosmic structure |
| title_sort | measuring cosmic structure minkowski valuations and mark correlations for cosmological morphometry |
| title_sub | Minkowski valuations and mark correlations for cosmological morphometry |
| topic | Hochschulschrift gtt Weltall (DE-588)4079154-3 gnd Minkowski-Quermaßintegral (DE-588)4293938-0 gnd Integralgeometrie (DE-588)4161911-0 gnd Dichteverteilung (DE-588)4489181-7 gnd Galaxienhaufen (DE-588)4244847-5 gnd |
| topic_facet | Hochschulschrift Weltall Minkowski-Quermaßintegral Integralgeometrie Dichteverteilung Galaxienhaufen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009346989&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT beisbartclaus measuringcosmicstructureminkowskivaluationsandmarkcorrelationsforcosmologicalmorphometry |