Système de processus auto-stabilisants:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2003
|
| Series: | Dissertationes mathematicae
414 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 49, III S. |
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Record in the Search Index
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| adam_text |
POLSKA AKADEMIA NAUK, INSTYTUT MATEMATYCZNY D I S S E R T A T I O N E S
M A T H E M A T I C A E (ROZPRAWY MATEMATYCZNE) KOMITET REDAKCYJNY
ANDRZEJ BIALYNICKI-BIRULA, BOGDAN BOJARSKI, ZBIGNIEW CIESIELSKI, LUDOMIR
NEWELSKI, ZBIGNIEW SEMADENI, JERZY ZABCZYK REDAKTOR, WIESLAW ZELAZKO
ZASTCPCA REDAKTORA 414 SAMUEL HERRMANN SYSTEME DE PROCESSUS
AUTO-STABILISANTS SUB GOTTINGEN 7 210 439 866 WARSZAWA 2003 TABLE DES
MATIERES INTRODUCTION 5 1. ETUDE DU SYSTEME (E) 7 1.1. PRELIMINAIRES 7
1.2. EXISTENCE ET UNICITE DES SOLUTIONS DU SYSTEME (E) 8 1.3. EXISTENCE
D'UNE DISTRIBUTION STATIONNAIRE 17 1.4. CONVERGENCE VERS LA DISTRIBUTION
STATIONNAIRE 27 1.4.1. RESULTATS PRELIMINAIRES 27 1.4.2. CONVERGENCE
VERS LA DISTRIBUTION STATIONNAIRE 29 1.5. DIFFERENCE ENTRE LES LOIS
UT(X) DX ET VT(X) DX 33 2. ETUDE DU SYSTEME (F) ET PROPAGATION DU CHAOS
36 2.1. EXISTENCE ET UNICITE DES SOLUTIONS POUR (F) '. 37 2.2.
PROPAGATION DU CHAOS POUR UN SYSTEME INFINI DE PARTICULES 38 2.2.1.
CONVERGENCE EN LOI 38 2.2.2. INEGALITE DE CONCENTRATION 46 REFERENCES 48
ABSTRACT TAKING AN ODD INCREASING LIPSCHITZ-CONTINUOUS FUNCTION WITH
POLYNOMIAL GROWTH 0, AN ODD LIPSCHITZ-CONTINUOUS AND BOUNDED FUNCTION
SATISFYING SGN{X)4 (X) 0 AND A PARAMETER A G [1/2,1], WE CONSIDER THE
(NONLINEAR) STOCHASTIC DIFFERENTIAL SYSTEM T T I\ 4 * V S {X S )DS * (1
* A) \0 * U S (X S )DS, (E) Y T = YQ + B T + (1 - A)^ * U S (Y S ) DS -
A^P * V S (Y S ) DS, O O (X T G DX) = U T {DX) AND V(Y T G DX) = V T
(DX), WHERE F3*UT(X) = J R 0{X*Y) UT(DY), (BT)T O AN D (BT)T O ARE
INDEPENDENT BROWNIAN MOTIONS. WE SHOW THAT (E) ADMITS A STATIONARY
PROBABILITY MEASURE, AND, UNDER SOME ADDITIONAL CONDITIONS, THAT (XT,YT)
CONVERGES IN DISTRIBUTION TO THIS INVARIANT MEASURE. MOREOVER WE
INVESTIGATE THE LINK BETWEEN (E) AND THE ASSOCIATED SYSTEM OF PARTICLES.
2000 MATHEMATICS SUBJECT CLASSIFICATION: 60G10, 60G17, 60H10, 60H30,
60J60, 60K35, 35K55. THIS PAPER WAS ORIGINALLY RECEIVED BY STUDIA
MATHEMATICA ON JUNE 7, 2001. THE PRESENT REVISED VERSION WAS RECEIVED BY
DISSERTATIONES MATHEMATICAE ON MAY 25, 2002. |
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| indexdate | 2025-03-31T20:04:09Z |
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| language | English |
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| physical | 49, III S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Herrmann, Samuel 1934-2021 Verfasser (DE-588)131441221 aut Système de processus auto-stabilisants Samuel Herrmann Warszawa Polska Akad. Nauk, Inst. Matematyczny 2003 49, III S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 414 Mathematisches Modell Chaotic behavior in systems Mathematical models Functions, Continuous Probability measures Stationary processes Stochastic differential equations Stationärer Prozess (DE-588)4056989-5 gnd rswk-swf Stochastische Differentialgleichung (DE-588)4057621-8 gnd rswk-swf Stationärer Prozess (DE-588)4056989-5 s Stochastische Differentialgleichung (DE-588)4057621-8 s DE-604 Dissertationes mathematicae 414 (DE-604)BV000003039 414 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010453902&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Herrmann, Samuel 1934-2021 Système de processus auto-stabilisants Dissertationes mathematicae Mathematisches Modell Chaotic behavior in systems Mathematical models Functions, Continuous Probability measures Stationary processes Stochastic differential equations Stationärer Prozess (DE-588)4056989-5 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd |
| subject_GND | (DE-588)4056989-5 (DE-588)4057621-8 |
| title | Système de processus auto-stabilisants |
| title_auth | Système de processus auto-stabilisants |
| title_exact_search | Système de processus auto-stabilisants |
| title_full | Système de processus auto-stabilisants Samuel Herrmann |
| title_fullStr | Système de processus auto-stabilisants Samuel Herrmann |
| title_full_unstemmed | Système de processus auto-stabilisants Samuel Herrmann |
| title_short | Système de processus auto-stabilisants |
| title_sort | systeme de processus auto stabilisants |
| topic | Mathematisches Modell Chaotic behavior in systems Mathematical models Functions, Continuous Probability measures Stationary processes Stochastic differential equations Stationärer Prozess (DE-588)4056989-5 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd |
| topic_facet | Mathematisches Modell Chaotic behavior in systems Mathematical models Functions, Continuous Probability measures Stationary processes Stochastic differential equations Stationärer Prozess Stochastische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010453902&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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