Verfügbarkeit: Statistical physics for cosmic structures

Statistical physics for cosmic structures:

Gespeichert in:

Bibliographische Detailangaben
Format:	Buch
Sprache:	German
Veröffentlicht:	Berlin Springer 2005
Schlagworte:	Cosmologia Cosmologie - Méthodes statistiques Mecânica estatística Physique statistique Cosmology > Statistical methods Statistical physics Statistische Physik Kosmologie
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XIII, 424 S. Ill., graph. Darst.
ISBN:	3540407456

Internformat

MARC


LEADER	00000nam a2200000 c 4500
001	BV019715853
003	DE-604
005	20050510
007	t
008	050301s2005 gw ad\|\| \|\|\|\| 00\|\|\| ger d
016	7		\|a 96867027X \|2 DE-101
020			\|a 3540407456 \|c Gb. \|9 3-540-40745-6
035			\|a (OCoLC)57170791
035			\|a (DE-599)BVBBV019715853
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a ger
044			\|a gw \|c DE
049			\|a DE-91G \|a DE-20
050		0	\|a QC174.84
082	0		\|a 523.1/072 \|2 22
084			\|a US 2000 \|0 (DE-625)146681: \|2 rvk
084			\|a PHY 980f \|2 stub
084			\|a PHY 064f \|2 stub
084			\|a 520 \|2 sdnb
245	1	0	\|a Statistical physics for cosmic structures \|c A. Gabrielli ...
264		1	\|a Berlin \|b Springer \|c 2005
300			\|a XIII, 424 S. \|b Ill., graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
650		7	\|a Cosmologia \|2 larpcal
650		4	\|a Cosmologie - Méthodes statistiques
650		7	\|a Mecânica estatística \|2 larpcal
650		4	\|a Physique statistique
650		4	\|a Cosmology \|x Statistical methods
650		4	\|a Statistical physics
650	0	7	\|a Statistische Physik \|0 (DE-588)4057000-9 \|2 gnd \|9 rswk-swf
650	0	7	\|a Kosmologie \|0 (DE-588)4114294-9 \|2 gnd \|9 rswk-swf
689	0	0	\|a Kosmologie \|0 (DE-588)4114294-9 \|D s
689	0	1	\|a Statistische Physik \|0 (DE-588)4057000-9 \|D s
689	0		\|5 DE-604
700	1		\|a Gabrielli, Andrea \|e Sonstige \|4 oth
856	4	2	\|m SWB Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013043113&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-013043113

Datensatz im Suchindex

_version_	1804133172056686592
adam_text	CONTENTS 1 INTRODUCTION .............................................. 1 1.1 MOTIVATIONS AND PURPOSE OF THE BOOK . . . . . . . . . . . . . . . . . . . . . 1 1.2 STRUCTURES IN STATISTICAL PHYSICS: A NEW PERSPECTIVE . . . . . . . . 2 1.3 STRUCTURES IN STATISTICAL PHYSICS: THE METHODS . . . . . . . . . . . . . 8 1.4 APPLICATIONS TO COSMOLOGY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.5 PERSPECTIVES FOR THE FUTURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 PART I STATISTICAL METHODS 2 UNIFORM AND CORRELATED MASS DENSITY FIELDS ............. 27 2.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.2 BASIC STATISTICAL PROPERTIES AND CONCEPTS . . . . . . . . . . . . . . . . . . 31 2.2.1 SPATIAL AVERAGES AND ERGODICITY . . . . . . . . . . . . . . . . . . . . 34 2.2.2 HOMOGENEITY AND HOMOGENEITY SCALE . . . . . . . . . . . . . . . 34 2.3 CORRELATION FUNCTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.3.1 CHARACTERISTIC FUNCTION AND CUMULANTS EXPANSION. . . . 36 2.3.2 CORRELATION LENGTH . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 2.3.3 OTHER PROPERTIES OF THE REDUCED TWO-POINT CORRELATION FUNCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 2.3.4 MASS VARIANCE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 2.4 POISSON POINT PROCESS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 2.5 STOCHASTIC POINT PROCESSES WITH SPATIAL CORRELATIONS . . . . . . . . 46 2.5.1 CONDITIONAL PROPERTIES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 2.5.2 INTEGRATED CONDITIONAL PROPERTIES . . . . . . . . . . . . . . . . . . 50 2.5.3 DETECTION OF THE HOMOGENEITY SCALE OF A DISCRETE SPP 50 2.6 NEAREST NEIGHBOR PROBABILITY DENSITY IN POINT PROCESSES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 2.6.1 POISSON CASE. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 2.6.2 PARTICLE DISTRIBUTIONS WITH SPATIAL CORRELATIONS . . . . . . 54 2.7 GAUSSIAN CONTINUOUS STOCHASTIC FIELDS . . . . . . . . . . . . . . . . . . . . 55 2.8 POWER-LAWS AND SELF-SIMILARITY . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 2.9 MASS FUNCTION AND PROBABILITY DISTRIBUTION. . . . . . . . . . . . . . . . 61 2.10 THE RANDOM WALK AND THE CENTRAL LIMIT THEOREM . . . . . . . . . 64 VIII CONTENTS 2.10.1 PROBABILITY DISTRIBUTION OF MASS FLUCTUATIONS IN LARGE VOLUMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 2.11 GAUSSIAN DISTRIBUTION AS THE MOST PROBABLE PROBABILITY DISTRIBUTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 2.12 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 3 THE POWER SPECTRUM AND THE CLASSIFICATION OF STATIONARY STOCHASTIC FIELDS ............................ 73 3.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 3.2 GENERAL PROPERTIES. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 3.2.1 MATHEMATICAL DEFINITIONS . . . . . . . . . . . . . . . . . . . . . . . . . . 73 3.2.2 LIMIT CONDITIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 3.3 THE POWER SPECTRUM FOR THE POISSON POINT PROCESS AND OTHER SPP . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 3.4 THE POWER SPECTRUM AND THE MASS VARIANCE: A COMPLETE CLASSIFICATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 3.4.1 THE COMPLETE CLASSIFICATION OF MASS FLUCTUATIONS VERSUS POWER SPECTRUM . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 3.5 SUPER-HOMOGENEOUS MASS DENSITY FIELDS . . . . . . . . . . . . . . . . . . 84 3.5.1 THE LATTICE PARTICLE DISTRIBUTION . . . . . . . . . . . . . . . . . . . 85 3.5.2 THE ONE COMPONENT PLASMA . . . . . . . . . . . . . . . . . . . . . . 88 3.6 FURTHER ANALYSIS OF GAUSSIAN FIELDS . . . . . . . . . . . . . . . . . . . . . . . 91 3.6.1 REAL SPACE COMPOSITION OF GAUSSIAN FIELDS, CORRELATION LENGTH AND SIZE OF STRUCTURES . . . . . . . . . . . 95 3.7 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 4 FRACTALS ................................................... 101 4.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 4.2 THE METRIC DIMENSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 4.3 CONDITIONAL DENSITY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 4.3.1 CONDITIONAL DENSITY AND SMOOTH RADIAL PARTICLE DISTRIBUTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 4.3.2 STATISTICALLY HOMOGENEOUS AND ISOTROPIC DISTRIBUTION OF RADIAL DENSITY PROFILES . . . . . . . . . . . . . . . . . . . . . . . . . 113 4.3.3 NEAREST NEIGHBOR PROBABILITY DENSITY FOR RADIAL AND FRACTAL POINT-PARTICLE DISTRIBUTIONS . . . . . . . . . . . . . 113 4.4 THE TWO-POINT CONDITIONAL DENSITY . . . . . . . . . . . . . . . . . . . . . . 116 4.5 THE CONDITIONAL VARIANCE IN SPHERES . . . . . . . . . . . . . . . . . . . . . . 118 4.6 CORRECTIONS TO SCALING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 4.6.1 CORRECTION TO SCALING: DETERMINISTIC FRACTALS . . . . . . . . . 120 4.6.2 CORRECTION TO SCALING: RANDOM FRACTALS . . . . . . . . . . . . . 124 4.7 FRACTAL WITH A CROSSOVER TO HOMOGENEITY . . . . . . . . . . . . . . . . . . 127 4.8 CORRELATION, FRACTALS AND CLUSTERING . . . . . . . . . . . . . . . . . . . . . . 127 4.9 PROBABILITY DISTRIBUTION OF MASS FLUCTUATIONS IN A FRACTAL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 CONTENTS IX 4.10 INTERSECTION OF FRACTALS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132 4.11 MORPHOLOGY AND VOIDS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 4.12 ANGULAR AND ORTHOGONAL PROJECTION OF FRACTAL SETS . . . . . . . . . 134 4.12.1 ON THE UNIFORMITY OF THE ANGULAR PROJECTION . . . . . . . . 137 4.13 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 5 MULTIFRACTALS AND MASS DISTRIBUTIONS ..................... 143 5.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 5.2 BASIC DEFINITIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144 5.3 DETERMINISTIC MULTIFRACTALS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145 5.4 THE MULTIFRACTAL SPECTRUM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 5.5 RANDOM MULTIFRACTALS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 5.6 SELF-SIMILARITY OF FLUCTUATIONS AND MULTIFRACTALITY IN TEMPORAL MULTIPLICATIVE PROCESSES . . . . . . . . . . . . . . . . . . . . . . 154 5.7 SPATIAL CORRELATION IN MULTIFRACTALS . . . . . . . . . . . . . . . . . . . . . . . 158 5.8 MULTIFRACTALS AND MASS DISTRIBUTIONS . . . . . . . . . . . . . . . . . . . . 159 5.9 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 PART II APPLICATIONS TO COSMOLOGY 6 FLUCTUATIONS IN STANDARD COSMOLOGICAL MODELS: A REAL SPACE VIEW ....................................... 167 6.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167 6.2 BASIC PROPERTIES OF COSMOLOGICAL DENSITY FIELDS . . . . . . . . . . . . 167 6.3 THE COSMOLOGICAL ORIGIN OF THE HZ SPECTRUM . . . . . . . . . . . . . 171 6.4 THE REAL SPACE CORRELATION FUNCTION OF CDM/HDM MODELS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 6.5 P (0) = 0 AND CONSTRAINTS IN A FINITE SAMPLE . . . . . . . . . . . . . . . 177 6.6 CMBR ANISOTROPIES IN DIRECT SPACE . . . . . . . . . . . . . . . . . . . . . . 179 6.6.1 CMBR ANISOTROPIES AND THE MATTER POWER SPECTRUM . 180 6.6.2 THE ORIGIN OF OSCILLATIONS IN THE POWER SPECTRUM . . . . 183 6.6.3 A SIMPLE EXAMPLE OF K -OSCILLATIONS . . . . . . . . . . . . . . . . . 184 6.6.4 OSCILLATIONS IN THE CDM PS . . . . . . . . . . . . . . . . . . . . . . . 185 6.6.5 OSCILLATIONS IN THE CMBR ANISOTROPIES . . . . . . . . . . . . . . 187 6.7 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189 7 DISCRETE REPRESENTATION OF FLUCTUATIONS IN COSMOLOGICAL MODELS ................................... 193 7.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193 7.2 DISCRETE VERSUS CONTINUOUS DENSITY FIELDS . . . . . . . . . . . . . . . . . 194 7.3 SUPER-HOMOGENEOUS SYSTEMS IN STATISTICAL PHYSICS . . . . . . . . . . 196 7.4 HZ AS EQUILIBRIUM OF A MODIFIED OCP . . . . . . . . . . . . . . . . . . . . 197 7.5 A FIRST APPROXIMATION TO THE EFFECT OF DISPLACEMENT FIELDS . . 199 7.6 DISPLACEMENT FIELDS: FORMULATION OF THE PROBLEM . . . . . . . . . . 200 X CONTENTS 7.7 EFFECTS OF DISPLACEMENTS ON ONE AND TWO-POINT PROPERTIES OF THE PARTICLE DISTRIBUTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203 7.7.1 UNCORRELATED DISPLACEMENTS . . . . . . . . . . . . . . . . . . . . . . . 206 7.7.2 ASYMPTOTIC BEHAVIOR OF P ( K ) FOR SMALL K . . . . . . . . . . . . 208 7.7.3 THE SHUFFLED LATTICE WITH UNCORRELATED DISPLACEMENTS 209 7.8 CORRELATED DISPLACEMENTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212 7.8.1 CORRELATED GAUSSIAN DISPLACEMENT FIELD . . . . . . . . . . . . . 214 7.9 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217 8 GALAXY SURVEYS: AN INTRODUCTION TO THEIR ANALYSIS ....... 219 8.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219 8.2 BASIC ASSUMPTIONS AND DEFINITIONS . . . . . . . . . . . . . . . . . . . . . . . 220 8.3 GALAXY CATALOGS AND REDSHIFT . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 8.4 VOLUME LIMITED SAMPLES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 224 8.5 THE DISCOVERY OF LARGE SCALE STRUCTURE IN GALAXY CATALOGS . . 227 8.6 STANDARD CHARACTERIZATION OF GALAXY CORRELATIONS AND THE ASSUMPTION OF HOMOGENEITY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228 8.7 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233 9 CHARACTERIZING THE OBSERVED DISTRIBUTION OF VISIBLE MATTER I: THE CONDITIONAL AVERAGE DENSITY IN GALAXY CATALOGS ....................................... 235 9.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235 9.2 THE CONDITIONAL AVERAGE DENSITY IN FINITE SAMPLES . . . . . . . . . 236 9.3 SAMPLE SIZE SMALLER THAN THE HOMOGENEITY SCALE . . . . . . . . . . . 240 9.3.1 THE REDUCED CORRELATION FUNCTION FOR A PARTICLE DISTRIBUTION WITH FRACTAL BEHAVIOR IN THE SAMPLE . . . . . 240 9.4 SAMPLE SIZE GREATER THAN THE HOMOGENEITY SCALE . . . . . . . . . . 242 9.4.1 CRITICAL CASE. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243 9.4.2 SUBSTANTIALLY POISSON CASE . . . . . . . . . . . . . . . . . . . . . . . . 244 9.4.3 SUPER-HOMOGENEOUS CASE . . . . . . . . . . . . . . . . . . . . . . . . . 245 9.4.4 SOME REMARKS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245 9.5 ESTIMATING THE AVERAGE CONDITIONAL DENSITY IN A FINITE SAMPLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246 9.5.1 ESTIMATORS OF THE AVERAGE CONDITIONAL DENSITY . . . . . . . 247 9.5.2 EFFECTIVE DEPTH OF SAMPLES . . . . . . . . . . . . . . . . . . . . . . . . 250 9.6 THE AVERAGE CONDITIONAL DENSITY (FS) IN REAL GALAXY CATALOGS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 250 9.6.1 NORMALIZATION OF THE AVERAGE CONDITIONAL IN DIFFERENT VL SAMPLES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 257 9.6.2 ESTIMATION OF THE CONDITIONAL AVERAGE LUMINOSITY DENSITY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259 9.6.3 MEASURING THE AVERAGE MASS DENSITY * FROM REDSHIFT SURVEYS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 260 9.7 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263 CONTENTS XI 10 CHARACTERIZING THE OBSERVED DISTRIBUTION OF VISIBLE MATTER II: NUMBER COUNTS AND THEIR FLUCTUATIONS ....... 265 10.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265 10.2 NUMBER COUNTS IN REAL SPACE. . . . . . . . . . . . . . . . . . . . . . . . . . . . 266 10.3 NUMBER COUNTS AS A FUNCTION OF APPARENT MAGNITUDE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268 10.3.1 POISSON DISTRIBUTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268 10.3.2 SIMPLE FRACTAL DISTRIBUTION . . . . . . . . . . . . . . . . . . . . . . . . 271 10.3.3 EFFECT OF LONG-RANGED CORRELATIONS IN HOMOGENEOUS DISTRIBUTIONS . . . . . . . . . . . . . . . . . . . . . 273 10.4 NORMALIZATION OF THE MAGNITUDE COUNTS TO REAL SPACE PROPERTIES IN EUCLIDEAN SPACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . 276 10.4.1 AVERAGE DISTANCE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 276 10.4.2 NORMALIZATION OF DISTANCE TO MAGNITUDE COUNTS . . . . . . 277 10.5 GALAXY COUNTS IN REAL CATALOGS . . . . . . . . . . . . . . . . . . . . . . . . . . 278 10.5.1 REAL SPACE COUNTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 279 10.5.2 MAGNITUDE SPACE COUNTS . . . . . . . . . . . . . . . . . . . . . . . . . . 283 10.6 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 288 11 LUMINOSITY IN GALAXY CORRELATIONS ........................ 291 11.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291 11.2 STANDARD METHODS FOR THE ESTIMATION OF THE LUMINOSITY FUNCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 292 11.3 MULTIFRACTALITY, LUMINOSITY AND SPACE DISTRIBUTIONS . . . . . . . . . 293 11.4 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 297 12 THE DISTRIBUTION OF GALAXY CLUSTERS ...................... 299 12.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 299 12.2 CLUSTER CORRELATIONS AND MULTIFRACTALITY . . . . . . . . . . . . . . . . . . . 300 12.3 GALAXY CLUSTER CORRELATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 303 12.3.1 THE AVERAGE CONDITIONAL DENSITY FOR GALAXY CLUSTERS . 306 12.3.2 GALAXY-CLUSTER MISMATCH . . . . . . . . . . . . . . . . . . . . . . . . . 306 12.4 LUMINOSITY BIAS AND THE RICHNESS-CLUSTERING RELATION . . . . . . 308 12.5 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311 13 BIASING A GAUSSIAN RANDOM FIELD AND THE PROBLEM OF GALAXY CORRELATIONS .................................... 313 13.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313 13.2 BIASING OF GAUSSIAN RANDOM FIELDS . . . . . . . . . . . . . . . . . . . . . . . 314 13.3 BIASING AND REAL SPACE CORRELATION PROPERTIES . . . . . . . . . . . . . 318 13.4 BIASING AND THE POWER SPECTRUM . . . . . . . . . . . . . . . . . . . . . . . . . 325 13.5 SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 330 XII CONTENTS 14 THE GRAVITATIONAL FIELD IN STOCHASTIC PARTICLE DISTRIBUTIONS ............................................. 335 14.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335 14.2 NEAREST NEIGHBOR FORCE DISTRIBUTION . . . . . . . . . . . . . . . . . . . . . . 336 14.3 GRAVITATIONAL FORCE PDF IN A POISSON PARTICLE DISTRIBUTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 338 14.4 GRAVITATIONAL FORCE IN WEAKLY CORRELATED PARTICLE DISTRIBUTIONS: THE GAUSS-POISSON CASE . . . . . . . . . . . . . . . . . . . . . 342 14.5 GENERALIZATION OF THE HOLTZMARK DISTRIBUTION TO THE GAUSS-POISSON CASE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343 14.5.1 LARGE F EXPANSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344 14.5.2 SMALL F EXPANSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 347 14.5.3 COMPARISON WITH SIMULATIONS . . . . . . . . . . . . . . . . . . . . . . 347 14.5.4 NEAREST-NEIGHBOR APPROXIMATION FOR THE GAUSS-POISSON CASE . . . . . . . . . . . . . . . . . . . . . . . . 348 14.6 GRAVITATIONAL FORCE IN FRACTAL POINT DISTRIBUTIONS . . . . . . . . . . 350 14.7 AN UPPER LIMIT IN THE FRACTAL CASE . . . . . . . . . . . . . . . . . . . . . . 351 14.8 AVERAGE QUADRATIC FORCE IN A FRACTAL . . . . . . . . . . . . . . . . . . . . . 354 14.9 THE GENERAL IMPORTANCE OF THE FORCE-FORCE CORRELATION . . . . . 358 14.10SUMMARY AND DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 360 PART III APPENDIXES A SCALING BEHAVIOR OF THE CHARACTERISTIC FUNCTION FOR ASYMPTOTICALLY SMALL VALUES OF K ..................... 365 B FRACTAL ALGORITHMS ....................................... 369 B.1 CANTOR SET AND RANDOM CANTOR SET . . . . . . . . . . . . . . . . . . . . . . 369 B.2 LEVY FLIGHT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372 B.3 RANDOM TREMA DUST . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372 C COSMOLOGICAL MODELS: BASIC RELATIONS .................... 375 C.1 COSMOLOGICAL PARAMETERS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376 C.1.1 COMOVING (RADIAL) DISTANCE . . . . . . . . . . . . . . . . . . . . . . . 376 C.1.2 COMOVING (TRANSVERSE) DISTANCE . . . . . . . . . . . . . . . . . . . 377 C.1.3 LUMINOSITY DISTANCE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 377 C.1.4 MAGNITUDE. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 377 C.2 COSMOLOGICAL CORRECTIONS IN THE ANALYSIS OF REDSHIFT SURVEYS 378 C.2.1 FLAT COSMOLOGIES: FMD AND FLD . . . . . . . . . . . . . . . . . . 378 C.2.2 OPEN MODEL: OBD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 380 CONTENTS XIII D COSMOLOGICAL AND K-CORRECTIONS TO NUMBER COUNTS ....... 381 D.1 K-CORRECTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 381 D.2 K-CORRECTIONS AND THE RADIAL NUMBER COUNTS . . . . . . . . . . . . . . 382 D.3 DEPENDENCE ON THE COSMOLOGICAL MODEL . . . . . . . . . . . . . . . . . . . 383 E FRACTAL MATTER IN AN OPEN FRW UNIVERSE ................ 385 E.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 385 E.2 FRIEDMANN SOLUTION IN AN EMPTY UNIVERSE . . . . . . . . . . . . . . . . . 386 E.3 CURVATURE DOMINATED PHASE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 387 E.4 RADIATION DOMINATED ERA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 390 E.5 FLUCTUATIONS IN THE CMBR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 391 E.6 OTHER REMARKS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 392 F ERRORS IN FULL SHELL ESTIMATORS ............................ 395 F.1 BIAS AND VARIANCE OF ESTIMATORS . . . . . . . . . . . . . . . . . . . . . . . . . . 395 F.2 UNCONDITIONAL AVERAGE DENSITY . . . . . . . . . . . . . . . . . . . . . . . . . . . 396 F.3 CONDITIONAL NUMBER OF POINTS IN A SPHERE . . . . . . . . . . . . . . . . . 397 F.4 INTEGRATED CONDITIONAL DENSITY . . . . . . . . . . . . . . . . . . . . . . . . . . . 398 F.5 CONDITIONAL AVERAGE DENSITY IN SHELLS . . . . . . . . . . . . . . . . . . . . . 399 F.6 REDUCED TWO-POINT CORRELATION FUNCTION . . . . . . . . . . . . . . . . . . 402 G NON FULL-SHELL ESTIMATION OF TWO POINT CORRELATION PROPERTIES .................................... 405 G.1 ESTIMATORS WITH SIMPLE WEIGHTINGS . . . . . . . . . . . . . . . . . . . . . . . 406 G.2 OTHER PAIR COUNTING ESTIMATORS . . . . . . . . . . . . . . . . . . . . . . . . . 407 G.3 ESTIMATION OF THE CONDITIONAL DENSITY BEYOND R S . . . . . . . . . . 409 H ESTIMATION OF THE POWER SPECTRUM ....................... 411 REFERENCES .................................................... 413 INDEX ......................................................... 421
any_adam_object	1
building	Verbundindex
bvnumber	BV019715853
callnumber-first	Q - Science
callnumber-label	QC174
callnumber-raw	QC174.84
callnumber-search	QC174.84
callnumber-sort	QC 3174.84
callnumber-subject	QC - Physics
classification_rvk	US 2000
classification_tum	PHY 980f PHY 064f
ctrlnum	(OCoLC)57170791 (DE-599)BVBBV019715853
dewey-full	523.1/072
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	523 - Specific celestial bodies and phenomena
dewey-raw	523.1/072
dewey-search	523.1/072
dewey-sort	3523.1 272
dewey-tens	520 - Astronomy and allied sciences
discipline	Physik Geographie
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01735nam a2200493 c 4500</leader><controlfield tag="001">BV019715853</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20050510 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">050301s2005 gw ad\|\| \|\|\|\| 00\|\|\| ger d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">96867027X</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540407456</subfield><subfield code="c">Gb.</subfield><subfield code="9">3-540-40745-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)57170791</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019715853</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-20</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC174.84</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">523.1/072</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">US 2000</subfield><subfield code="0">(DE-625)146681:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 980f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 064f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">520</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Statistical physics for cosmic structures</subfield><subfield code="c">A. Gabrielli ...</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">Springer</subfield><subfield code="c">2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 424 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="650" ind1=" " ind2="7"><subfield code="a">Cosmologia</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Cosmologie - Méthodes statistiques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mecânica estatística</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Physique statistique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Cosmology</subfield><subfield code="x">Statistical methods</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistical physics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistische Physik</subfield><subfield code="0">(DE-588)4057000-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kosmologie</subfield><subfield code="0">(DE-588)4114294-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kosmologie</subfield><subfield code="0">(DE-588)4114294-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Statistische Physik</subfield><subfield code="0">(DE-588)4057000-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gabrielli, Andrea</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">SWB 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=013043113&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-013043113</subfield></datafield></record></collection>
id	DE-604.BV019715853
illustrated	Illustrated
indexdate	2024-07-09T20:04:29Z
institution	BVB
isbn	3540407456
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-013043113
oclc_num	57170791
open_access_boolean
owner	DE-91G DE-BY-TUM DE-20
owner_facet	DE-91G DE-BY-TUM DE-20
physical	XIII, 424 S. Ill., graph. Darst.
publishDate	2005
publishDateSearch	2005
publishDateSort	2005
publisher	Springer
record_format	marc
spelling	Statistical physics for cosmic structures A. Gabrielli ... Berlin Springer 2005 XIII, 424 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cosmologia larpcal Cosmologie - Méthodes statistiques Mecânica estatística larpcal Physique statistique Cosmology Statistical methods Statistical physics Statistische Physik (DE-588)4057000-9 gnd rswk-swf Kosmologie (DE-588)4114294-9 gnd rswk-swf Kosmologie (DE-588)4114294-9 s Statistische Physik (DE-588)4057000-9 s DE-604 Gabrielli, Andrea Sonstige oth SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013043113&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Statistical physics for cosmic structures Cosmologia larpcal Cosmologie - Méthodes statistiques Mecânica estatística larpcal Physique statistique Cosmology Statistical methods Statistical physics Statistische Physik (DE-588)4057000-9 gnd Kosmologie (DE-588)4114294-9 gnd
subject_GND	(DE-588)4057000-9 (DE-588)4114294-9
title	Statistical physics for cosmic structures
title_auth	Statistical physics for cosmic structures
title_exact_search	Statistical physics for cosmic structures
title_full	Statistical physics for cosmic structures A. Gabrielli ...
title_fullStr	Statistical physics for cosmic structures A. Gabrielli ...
title_full_unstemmed	Statistical physics for cosmic structures A. Gabrielli ...
title_short	Statistical physics for cosmic structures
title_sort	statistical physics for cosmic structures
topic	Cosmologia larpcal Cosmologie - Méthodes statistiques Mecânica estatística larpcal Physique statistique Cosmology Statistical methods Statistical physics Statistische Physik (DE-588)4057000-9 gnd Kosmologie (DE-588)4114294-9 gnd
topic_facet	Cosmologia Cosmologie - Méthodes statistiques Mecânica estatística Physique statistique Cosmology Statistical methods Statistical physics Statistische Physik Kosmologie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013043113&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT gabrielliandrea statisticalphysicsforcosmicstructures

Verfügbarkeit

Es ist kein Print-Exemplar vorhanden.

Fernleihe Bestellen Achtung: Nicht im THWS-Bestand! Inhaltsverzeichnis

MARC

Datensatz im Suchindex

Es ist kein Print-Exemplar vorhanden.

Ähnliche Einträge