Verfügbarkeit: Statistical properties of deterministic systems

Statistical properties of deterministic systems:

Gespeichert in:

Bibliographische Detailangaben
Beteiligte Personen:	Ding, Jiu (VerfasserIn), Zhou, Aihui (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin [u.a.] Springer [u.a.] 2009
Schriftenreihe:	Tsinghua University texts
Schlagwörter:	Dynamisches System Ergodentheorie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017630939&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. 221 - 227
Umfang:	VI, 236 S. graph. Darst.
ISBN:	9783540853664 9787302182962 9783540853671

Internformat

MARC


LEADER	00000nam a2200000 c 4500
001	BV035575435
003	DE-604
005	20090708
007	t\|
008	090622s2009 gw d\|\|\| \|\|\|\| 00\|\|\| eng d
015			\|a 08,N46,0592 \|2 dnb
015			\|a 09,A24,0641 \|2 dnb
016	7		\|a 991010787 \|2 DE-101
020			\|a 9783540853664 \|c (Springer) Pp. : EUR 106.95 (freier Pr.), sfr 164.50 (freier Pr.) \|9 978-3-540-85366-4
020			\|a 9787302182962 \|c (Tsinghua Univ. Press) Pp. : EUR 106.95 (freier Pr.), sfr 164.50 (freier Pr.) \|9 978-7-302-18296-2
020			\|a 9783540853671 \|9 978-3-540-85367-1
024	3		\|a 9783540853664
028	5	2	\|a 12204649
035			\|a (OCoLC)890612054
035			\|a (DE-599)DNB991010787
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c XA-DE-BE \|a cc \|c XB-CN \|a xxu \|c XD-US
049			\|a DE-824 \|a DE-703 \|a DE-29T \|a DE-11
082	0		\|a 515.48 \|2 22/ger
084			\|a SK 810 \|0 (DE-625)143257: \|2 rvk
084			\|a SK 830 \|0 (DE-625)143259: \|2 rvk
084			\|a 510 \|2 sdnb
100	1		\|a Ding, Jiu \|e Verfasser \|0 (DE-588)138216746 \|4 aut
245	1	0	\|a Statistical properties of deterministic systems \|c Jiu Ding ; Aihui Zhou
264		1	\|a Berlin [u.a.] \|b Springer [u.a.] \|c 2009
300			\|a VI, 236 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Tsinghua University texts
500			\|a Literaturverz. S. 221 - 227
650	0	7	\|a Dynamisches System \|0 (DE-588)4013396-5 \|2 gnd \|9 rswk-swf
650	0	7	\|a Ergodentheorie \|0 (DE-588)4015246-7 \|2 gnd \|9 rswk-swf
689	0	0	\|a Dynamisches System \|0 (DE-588)4013396-5 \|D s
689	0	1	\|a Ergodentheorie \|0 (DE-588)4015246-7 \|D s
689	0		\|5 DE-604
700	1		\|a Zhou, Aihui \|e Verfasser \|0 (DE-588)123378230 \|4 aut
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=017630939&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-017630939

Datensatz im Suchindex

_version_	1819305500746973184
adam_text	5.3 PIECEWISE CONVEX MAPPINGS 103 CONTENTS CHAPTER 1 INTRODUCTION 1 1.1 DISCRETE DETERMINISTIC SYSTEMSFROM ORDER TO CHAOS 2 1.2 STATISTICAL STUDY OF CHAOS 8 EXERCISES 14 CHAPTER 2 FOUNDATIONS OF MEASURE THEORY 15 2.1 MEASURES AND INTEGRATION 15 2.2 BASIC INTEGRATION THEORY 21 2.3 FUNCTIONS OF BOUNDED VARIATION IN ONE VARIABLE 24 2.4 FUNCTIONS OF BOUNDED VARIATION IN SEVERAL VARIABLES 27 2.5 COMPACTNESS AND QUASI-COMPACTNESS 31 2.5.1 STRONG AND WEAK COMPACTNESS 32 2.5.2 QUASI-COMPACTNESS 33 EXERCISES 35 CHAPTER 3 RUDIMENTS OF ERGODIC THEORY 36 3.1 MEASURE PRESERVING TRANSFORMATIONS 36 3.2 ERGODICITY, MIXING AND EXACTNESS 39 3.2.1 ERGODICITY 39 3.2.2 MIXING AND EXACTNESS 41 3.3 ERGODIC THEOREMS 43 3.4 TOPOLOGICAL DYNAMICAL SYSTEMS 47 EXERCISES 59 CHAPTER 4 FROBENIUS-PERRON OPERATORS 62 4.1 MARKOV OPERATORS 63 4.2 FROBENIUS-PERRON OPERATORS 68 4.3 KOOPMAN OPERATORS 77 4.4 ERGODICITY AND FROBENIUS-PERRON OPERATORS 79 4.5 DECOMPOSITION THEOREM AND SPECTRAL ANALYSIS 84 EXERCISES 88 CHAPTER 5 INVARIANT MEASURESEXISTENCE 92 5.1 GENERAL EXISTENCE RESULTS 92 5.2 PIECEWISE STRETCHING MAPPINGS 99 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/991010787 DIGITALISIERT DURCH VI CONTENTS 5.4 PIECEWISE EXPANDING TRANSFORMATIONS 106 EXERCISES 113 CHAPTER 6 INVARIANT MEASURESCOMPUTATION 115 6.1 ULAM S METHOD FOR ONE-DIMENSIONA! MAPPINGS 116 6.2 ULAM S METHOD FOR JV-DIMENSIONAL TRANSFORMATIONS 123 6.3 THE MARKOV METHOD FOR ONE-DIMENSIONAL MAPPINGS 127 6.4 THE MARKOV METHOD FOR JV-DIMENSIONAL TRANSFORMATIONS 134 EXERCISES 141 CHAPTER 7 CONVERGENCE RATE ANALYSIS 144 7.1 ERROR ESTIMATES FOR ULAM S METHOD 144 7.2 MORE EXPLICIT ERROR ESTIMATES 152 7.3 ERROR ESTIMATES FOR THE MARKOV METHOD 161 EXERCISES 170 CHAPTER 8 ENTROPY 172 8.1 SHANNON ENTROPY 172 8.2 KOLMOGOROV ENTROPY * * 177 8.3 TOPOLOGICAL ENTROPY 183 8.4 BOLTZMANN ENTROPY 186 8.5 BOLTZMANN ENTROPY AND FROBENIUS-PERRON OPERATORS 189 EXERCISES 193 CHAPTER 9 APPLICATIONS OF INVARIANT MEASURES 196 9.1 DECAY OF CORRELATIONS 196 9.2 RANDOM NUMBER GENERATION 199 9.3 CONFORMATIONAL DYNAMICS OF BIO-MOLECULES 204 9.4 DS-CDMA IN WIRELESS COMMUNICATIONS 215 EXERCISES 219 BIBLIOGRAPHY 221 INDEX 228
any_adam_object	1
author	Ding, Jiu Zhou, Aihui
author_GND	(DE-588)138216746 (DE-588)123378230
author_facet	Ding, Jiu Zhou, Aihui
author_role	aut aut
author_sort	Ding, Jiu
author_variant	j d jd a z az
building	Verbundindex
bvnumber	BV035575435
classification_rvk	SK 810 SK 830
ctrlnum	(OCoLC)890612054 (DE-599)DNB991010787
dewey-full	515.48
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.48
dewey-search	515.48
dewey-sort	3515.48
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02033nam a2200505 c 4500</leader><controlfield tag="001">BV035575435</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20090708 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">090622s2009 gw d\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">08,N46,0592</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">09,A24,0641</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">991010787</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540853664</subfield><subfield code="c">(Springer) Pp. : EUR 106.95 (freier Pr.), sfr 164.50 (freier Pr.)</subfield><subfield code="9">978-3-540-85366-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9787302182962</subfield><subfield code="c">(Tsinghua Univ. Press) Pp. : EUR 106.95 (freier Pr.), sfr 164.50 (freier Pr.)</subfield><subfield code="9">978-7-302-18296-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540853671</subfield><subfield code="9">978-3-540-85367-1</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783540853664</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">12204649</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)890612054</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB991010787</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">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BE</subfield><subfield code="a">cc</subfield><subfield code="c">XB-CN</subfield><subfield code="a">xxu</subfield><subfield code="c">XD-US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.48</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 810</subfield><subfield code="0">(DE-625)143257:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 830</subfield><subfield code="0">(DE-625)143259:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ding, Jiu</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)138216746</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Statistical properties of deterministic systems</subfield><subfield code="c">Jiu Ding ; Aihui Zhou</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer [u.a.]</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 236 S.</subfield><subfield code="b">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="490" ind1="0" ind2=" "><subfield code="a">Tsinghua University texts</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 221 - 227</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ergodentheorie</subfield><subfield code="0">(DE-588)4015246-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Ergodentheorie</subfield><subfield code="0">(DE-588)4015246-7</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">Zhou, Aihui</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)123378230</subfield><subfield code="4">aut</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=017630939&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:BVB01-017630939</subfield></datafield></record></collection>
id	DE-604.BV035575435
illustrated	Illustrated
indexdate	2024-12-20T13:38:11Z
institution	BVB
isbn	9783540853664 9787302182962 9783540853671
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-017630939
oclc_num	890612054
open_access_boolean
owner	DE-824 DE-703 DE-29T DE-11
owner_facet	DE-824 DE-703 DE-29T DE-11
physical	VI, 236 S. graph. Darst.
publishDate	2009
publishDateSearch	2009
publishDateSort	2009
publisher	Springer [u.a.]
record_format	marc
series2	Tsinghua University texts
spellingShingle	Ding, Jiu Zhou, Aihui Statistical properties of deterministic systems Dynamisches System (DE-588)4013396-5 gnd Ergodentheorie (DE-588)4015246-7 gnd
subject_GND	(DE-588)4013396-5 (DE-588)4015246-7
title	Statistical properties of deterministic systems
title_auth	Statistical properties of deterministic systems
title_exact_search	Statistical properties of deterministic systems
title_full	Statistical properties of deterministic systems Jiu Ding ; Aihui Zhou
title_fullStr	Statistical properties of deterministic systems Jiu Ding ; Aihui Zhou
title_full_unstemmed	Statistical properties of deterministic systems Jiu Ding ; Aihui Zhou
title_short	Statistical properties of deterministic systems
title_sort	statistical properties of deterministic systems
topic	Dynamisches System (DE-588)4013396-5 gnd Ergodentheorie (DE-588)4015246-7 gnd
topic_facet	Dynamisches System Ergodentheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017630939&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT dingjiu statisticalpropertiesofdeterministicsystems AT zhouaihui statisticalpropertiesofdeterministicsystems

Verfügbarkeit

‌

Inhaltsverzeichnis