A starting condition approach to parameter distortion in generalized renormalization

We control parameter distortion in the generalized renormalization procedure provided a certain set of starting conditions is satisfied. This allows us to prove that for aC∞ — open set of unimodal families, almost all parameters inside an interval present either stochastic dynamics or a renormalizat...

Full description

Saved in:
Bibliographic Details
Published in:Qualitative theory of dynamical systems 2001, Vol.2 (2), p.221-288
Main Author: Colli, Eduardo
Format: Article
Language:English
Subjects:
Distortion
Parameters
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites cdi_FETCH-LOGICAL-c133t-a37181bfe00ef296a91402c79b22c66b7ef4bdbd24e7c7632c108eb88c8e849d3
container_end_page 288
container_issue 2
container_start_page 221
container_title Qualitative theory of dynamical systems
container_volume 2
creator Colli, Eduardo
description We control parameter distortion in the generalized renormalization procedure provided a certain set of starting conditions is satisfied. This allows us to prove that for aC∞ — open set of unimodal families, almost all parameters inside an interval present either stochastic dynamics or a renormalization (in the classical sense). Moreover, easy consequences are that renormalization happens densely on this interval and stochastic behaviour with positive measure. A wide range use of this approach would rely mostly on proving that the starting conditions are satisfied for general families.
doi_str_mv 10.1007/BF02969343
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2787248628</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2787248628</sourcerecordid><originalsourceid>FETCH-LOGICAL-c133t-a37181bfe00ef296a91402c79b22c66b7ef4bdbd24e7c7632c108eb88c8e849d3</originalsourceid><addsrcrecordid>eNpFkE9LAzEQxYMoWKsXP0HAm7Caf5tkj7XYKhS81POSzc7WlG6yJulBP727VvA0M8yP9x4PoVtKHigh6vFpRVglKy74GZpRKVnBy4qdj3upyqIUklyiq5T2hEimOJuh7QKnbGJ2fodt8K3LLnhshiEGYz9wDngw0fSQIeLWpRziL-A83oGHaA7uG1ocwYfYT4eZ3tfoojOHBDd_c47eV8_b5UuxeVu_LhebwlLOc2G4opo2HRAC3RjbVFQQZlXVMGalbBR0ommblglQVknOLCUaGq2tBi2qls_R3Ul3TPt5hJTrfThGP1rWTGnFhJZMj9T9ibIxpBShq4foehO_akrqqbX6vzX-A2dJYA0</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2787248628</pqid></control><display><type>article</type><title>A starting condition approach to parameter distortion in generalized renormalization</title><source>Springer Nature</source><creator>Colli, Eduardo</creator><creatorcontrib>Colli, Eduardo</creatorcontrib><description>We control parameter distortion in the generalized renormalization procedure provided a certain set of starting conditions is satisfied. This allows us to prove that for aC∞ — open set of unimodal families, almost all parameters inside an interval present either stochastic dynamics or a renormalization (in the classical sense). Moreover, easy consequences are that renormalization happens densely on this interval and stochastic behaviour with positive measure. A wide range use of this approach would rely mostly on proving that the starting conditions are satisfied for general families.</description><identifier>ISSN: 1575-5460</identifier><identifier>EISSN: 1662-3592</identifier><identifier>DOI: 10.1007/BF02969343</identifier><language>eng</language><publisher>Heidelberg: Springer Nature B.V</publisher><subject>Distortion ; Parameters</subject><ispartof>Qualitative theory of dynamical systems, 2001, Vol.2 (2), p.221-288</ispartof><rights>Birkhäuser-Verlag 2001.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c133t-a37181bfe00ef296a91402c79b22c66b7ef4bdbd24e7c7632c108eb88c8e849d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,4009,27902,27903,27904</link.rule.ids></links><search><creatorcontrib>Colli, Eduardo</creatorcontrib><title>A starting condition approach to parameter distortion in generalized renormalization</title><title>Qualitative theory of dynamical systems</title><description>We control parameter distortion in the generalized renormalization procedure provided a certain set of starting conditions is satisfied. This allows us to prove that for aC∞ — open set of unimodal families, almost all parameters inside an interval present either stochastic dynamics or a renormalization (in the classical sense). Moreover, easy consequences are that renormalization happens densely on this interval and stochastic behaviour with positive measure. A wide range use of this approach would rely mostly on proving that the starting conditions are satisfied for general families.</description><subject>Distortion</subject><subject>Parameters</subject><issn>1575-5460</issn><issn>1662-3592</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNpFkE9LAzEQxYMoWKsXP0HAm7Caf5tkj7XYKhS81POSzc7WlG6yJulBP727VvA0M8yP9x4PoVtKHigh6vFpRVglKy74GZpRKVnBy4qdj3upyqIUklyiq5T2hEimOJuh7QKnbGJ2fodt8K3LLnhshiEGYz9wDngw0fSQIeLWpRziL-A83oGHaA7uG1ocwYfYT4eZ3tfoojOHBDd_c47eV8_b5UuxeVu_LhebwlLOc2G4opo2HRAC3RjbVFQQZlXVMGalbBR0ommblglQVknOLCUaGq2tBi2qls_R3Ul3TPt5hJTrfThGP1rWTGnFhJZMj9T9ibIxpBShq4foehO_akrqqbX6vzX-A2dJYA0</recordid><startdate>2001</startdate><enddate>2001</enddate><creator>Colli, Eduardo</creator><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2001</creationdate><title>A starting condition approach to parameter distortion in generalized renormalization</title><author>Colli, Eduardo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c133t-a37181bfe00ef296a91402c79b22c66b7ef4bdbd24e7c7632c108eb88c8e849d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>Distortion</topic><topic>Parameters</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Colli, Eduardo</creatorcontrib><collection>CrossRef</collection><jtitle>Qualitative theory of dynamical systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Colli, Eduardo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A starting condition approach to parameter distortion in generalized renormalization</atitle><jtitle>Qualitative theory of dynamical systems</jtitle><date>2001</date><risdate>2001</risdate><volume>2</volume><issue>2</issue><spage>221</spage><epage>288</epage><pages>221-288</pages><issn>1575-5460</issn><eissn>1662-3592</eissn><abstract>We control parameter distortion in the generalized renormalization procedure provided a certain set of starting conditions is satisfied. This allows us to prove that for aC∞ — open set of unimodal families, almost all parameters inside an interval present either stochastic dynamics or a renormalization (in the classical sense). Moreover, easy consequences are that renormalization happens densely on this interval and stochastic behaviour with positive measure. A wide range use of this approach would rely mostly on proving that the starting conditions are satisfied for general families.</abstract><cop>Heidelberg</cop><pub>Springer Nature B.V</pub><doi>10.1007/BF02969343</doi><tpages>68</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1575-5460
ispartof Qualitative theory of dynamical systems, 2001, Vol.2 (2), p.221-288
issn 1575-5460
1662-3592
language eng
recordid cdi_proquest_journals_2787248628
source Springer Nature
subjects Distortion
Parameters
title A starting condition approach to parameter distortion in generalized renormalization
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-22T22%3A22%3A17IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20starting%20condition%20approach%20to%20parameter%20distortion%20in%20generalized%20renormalization&rft.jtitle=Qualitative%20theory%20of%20dynamical%20systems&rft.au=Colli,%20Eduardo&rft.date=2001&rft.volume=2&rft.issue=2&rft.spage=221&rft.epage=288&rft.pages=221-288&rft.issn=1575-5460&rft.eissn=1662-3592&rft_id=info:doi/10.1007/BF02969343&rft_dat=%3Cproquest_cross%3E2787248628%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c133t-a37181bfe00ef296a91402c79b22c66b7ef4bdbd24e7c7632c108eb88c8e849d3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2787248628&rft_id=info:pmid/&rfr_iscdi=true