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Literature & links
#1
I propose to collect our unsorted references and links to online sources in a single thread. Best would be, that references could be abstracted/commented.
I just begin with one current finding...
Gottfried Helms, Kassel
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#2
http://arxiv.org/abs/0909.2424v2

Evolution profiles and functional equations
Authors: Thomas Curtright, Cosmas Zachos
(Submitted on 14 Sep 2009 (v1), last revised 26 Sep 2009 (this version, v2))

Abstract: Time evolution is formulated and discussed in the framework of
Schroeder's functional equation. The proposed method yields smooth, continuous
dynamics without the prior need for local propagation equations.
Gottfried Helms, Kassel
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#3
Schröder, Ernst; "Über iterirte Funktionen" ("about iterated functions")
http://gdz.sub.uni-goettingen.de/dms/loa...DDOC=26000
This is a digitized version of the original article in
Mathematische Annalen, Band 3, 1871, lang:german


He describes his method for interpolation of functional iteration first time, introducing the concept of an auxiliary invertible function, which is specific for the function to be iterated. That auxiliary function maps the parameter x such that iteration of the original function is replaced by
x1 = map(x), x2 = x1* coefficient^<iteration-height>, y=inverse map(x2)

A couple of example-functions are provided.
Gottfried Helms, Kassel
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#4
I dont know whether a thread is a good container for a literature list.
I started an online literature database a while ago.
Though originally only for my own purpose.

http://eretrandre.org/rb/

There you can search for articles and output the results as bibtex or other formats.
Though only as registered user you can add new articles.
Not sure how to handle this in the future.
Currently it contains 190 articles (though also from other fields).
I am willing to maintain the DB and add all articles that will be mentioned on the forum.
For lots of articles also the paper as pdf is added (though not publically accessible, but available for private transfer.)

The page is based on the software refbase, which needed though several manual adaptions to be tailored to the use of (la)tex.
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#5
(10/09/2009, 11:13 AM)bo198214 Wrote: ...
http://eretrandre.org/rb/

There you can search for articles and output the results as bibtex or other formats.
Though only as registered user you can add new articles.
Not sure how to handle this in the future.
...
The page is based on the software refbase, which needed though several manual adaptions to be tailored to the use of (la)tex.

Yes , such database would be a better solution. We needed then a prominent hint in our forum (and could delete this current thread).
How could I add references? Is there an option to add notes/abstracts/tags in refbase?
Gottfried Helms, Kassel
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#6
(10/09/2009, 12:41 PM)Gottfried Wrote: Yes , such database would be a better solution. We needed then a prominent hint in our forum (and could delete this current thread).
Yes, I can do that. Either a sticky topic in "General Discussion and Questions" or some additional link beside "About, Search, Memberlist ...".

Quote:How could I add references? Is there an option to add notes/abstracts/tags in refbase?

I can add you as a member.
Yes, "abstract" and "tags" are standard fields. You can import from bibtex and other formats. (I usually go to Zentralblatt or AMSReviews and use their bibtex entries to add it to refbase).

You can also add personal notes, and add personal copies of the article.
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#7
(01/01/2010, 12:44 PM)alton Wrote: Hello,
I red your comment.Well nice information sharing,i must say.I am really pleased to see such article sharing at the community.Many people are just start the activity as craze,but the information that you have shared is must known to them.Please try to share more articles like this one,that is really superb.Thank you for sharing such nice post..

This is a fake/an automate member
I googled for "Well nice information sharing,i must say"

Found several entries:

pseudo used :"parkerlindsey"
quoted by someone
see: http://forums.studentawards.com/yaf_post...-2010.aspx
forum:studentawards / ... / Nursing 2010
Quote:Posted: November 25, 2009 2:06:24 AM

parkerlindsey wrote:
Quote:Hello,
I red your comment.Well nice information sharing,i must say.I am really pleased to see such article sharing at the community.Many people are just start the activity as craze,but the information that you have shared is must known to them.Please try to share more articles like this one,that is really superb.Thank you for sharing such nice post..

I don't know how many english lesson's you've taken, but you're supposed to put a space after periods and commas.
Rotman Commerce
University of Toronto class of 2012
-Trinity College-



pseudo used "flamingworm"
quoted by someone
see: http://www.leetcoders.org/showthread.php...9#pid25329
forum: LEET CODERS / JAVA-Forum
Quote: 11-21-2009, 05:12 AM
member: flAmingw0rm [!! Banned !!]

Joined: Oct 2009
Code Points: 1293
Hardcore Gamer
RE: Java tutorial: Arrays
Quote:(11-19-2009 05:38 AM)Hello,
I red your comment.Well nice information sharing,i must say.I am really pleased to see such article sharing at the community.Many people are just start the activity as craze,but the information that you have shared is must known to them.Please try to share more articles like this one,that is really superb.Thank you for sharing such nice post..

Gottfried Helms, Kassel
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#8
Another excerpt from my search result:

Nursing 2010 - Health & Medical Sciences - Studentawards "Forum"
A bulletin board system written in ASP.NET...I red your comment.Well nice information sharing,i must say.I am really pleased...
forums.studentawards.com/yaf_postsm282601_Nursing-2010.aspx
Java tutorial: "Arrays"
Current time: 12-23-2009, 09:09 AM Hello There, Guest! ( Login — Register)...I red your comment.Well nice information sharing,i must say.I am really pleased...


... and so on. I uploaded a pdf with my duck&go-(google-like) search for the phrase "Well nice information sharing,i must say."


.pdf   forumspam.pdf (Size: 37.62 KB / Downloads: 3,912)
[update]: more links. This msg floated the forums already quite a time...

.pdf   Well nice information shar....pdf (Size: 743.41 KB / Downloads: 3,323)
It's really disgusting...
Gottfried
Gottfried Helms, Kassel
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#9
A most interesting treatize of iteration of polynomials.
I've just started reading, no results, but it promises much.

http://www.math.cornell.edu/~hubbard/Ite...ubics1.pdf
http://www.math.cornell.edu/~hubbard/Ite...ubics2.pdf


The iteration of cubic polynomial
by
BODIL BRANNER (The Technical University of Denmark and Cornell University, Ithaca, NY, U.S.A.) and
JOHN H. HUBBARD (Corner University, Ithaca, NY, U.S.A.)
( 1988 )

Part I: The global topology of parameter

Table of contents
Introduction ................................ 143
CHAPTER I. Univalent functions in complex analytic dynamics ...... 147
1. Attraction to infinity ....................... 147
2. Parametrizing the space of polynomials ............. 150
3. Compactness of the connectedness locus ............ 153
4. The mapping q~e is close to the identity ............. 156
5. The high level sets of H are spheres ............... 160
CHAPTER II. Wringing the complex structure ............... 165
6. Beltrami forms invariant under a polynomial .......... 166
7. Analytic dependence on parameters ............... 169
8. Stretching and wringing the complex structure ......... 171
9. Continuity on the structural stability set ............. 177
10. Continuity for cubic polynomials ................. 179
CHAPTER III. The global topology of parameter space .......... 183
11. Fibrations ............................. 184
12. The structure of the fiber, part 1 ................. 185
13. The structure of the fiber, part 2 ................. 193
14. The global topology of parameter space ............. 197
References ................................. 205


Also the webpage of John Hubbard has a lot of material whose titles (and cooperations) look promising...

Gottfried
Gottfried Helms, Kassel
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