Background: #fff
Foreground: #000
PrimaryPale: #8cf
PrimaryLight: #18f
PrimaryMid: #04b
PrimaryDark: #014
SecondaryPale: #ffc
SecondaryLight: #fe8
SecondaryMid: #db4
SecondaryDark: #841
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #f88
<div class='toolbar' macro='toolbar [[ToolbarCommands::EditToolbar]]'></div>
<div class='title' macro='view title'></div>
<div class='editor' macro='edit title'></div>
<div macro='annotations'></div>
<div class='editor' macro='edit text'></div>
<div class='editor' macro='edit tags'></div><div class='editorFooter'><span macro='message views.editor.tagPrompt'></span><span macro='tagChooser excludeLists'></span></div>
To get started with this blank [[TiddlyWiki]], you'll need to modify the following tiddlers:
* [[SiteTitle]] & [[SiteSubtitle]]: The title and subtitle of the site, as shown above (after saving, they will also appear in the browser title bar)
* [[MainMenu]]: The menu (usually on the left)
* [[DefaultTiddlers]]: Contains the names of the tiddlers that you want to appear when the TiddlyWiki is opened
You'll also need to enter your username for signing your edits: <<option txtUserName>>
<link rel='alternate' type='application/rss+xml' title='RSS' href='index.xml' />
These [[InterfaceOptions]] for customising [[TiddlyWiki]] are saved in your browser

Your username for signing your edits. Write it as a [[WikiWord]] (eg [[JoeBloggs]])

<<option txtUserName>>
<<option chkSaveBackups>> [[SaveBackups]]
<<option chkAutoSave>> [[AutoSave]]
<<option chkRegExpSearch>> [[RegExpSearch]]
<<option chkCaseSensitiveSearch>> [[CaseSensitiveSearch]]
<<option chkAnimate>> [[EnableAnimations]]

Also see [[AdvancedOptions]]
<div class='header' role='banner' macro='gradient vert [[ColorPalette::PrimaryLight]] [[ColorPalette::PrimaryMid]]'>
<div class='headerShadow'>
<span class='siteTitle' refresh='content' tiddler='SiteTitle'></span>&nbsp;
<span class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>
<div class='headerForeground'>
<span class='siteTitle' refresh='content' tiddler='SiteTitle'></span>&nbsp;
<span class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>
<div id='mainMenu' role='navigation' refresh='content' tiddler='MainMenu'></div>
<div id='sidebar'>
<div id='sidebarOptions' role='navigation' refresh='content' tiddler='SideBarOptions'></div>
<div id='sidebarTabs' role='complementary' refresh='content' force='true' tiddler='SideBarTabs'></div>
<div id='displayArea' role='main'>
<div id='messageArea' class='messageArea'></div>
<div id='tiddlerDisplay'></div>
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.wizard .changedBoth {background:#ff8080;}
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.tagging, .tagged {border:1px solid [[ColorPalette::TertiaryPale]]; background-color:[[ColorPalette::TertiaryPale]];}
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.viewer pre {border:1px solid [[ColorPalette::SecondaryLight]]; background:[[ColorPalette::SecondaryPale]];}
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.highlight, .marked {background:[[ColorPalette::SecondaryLight]];}

.editor input {border:1px solid [[ColorPalette::PrimaryMid]];}
.editor textarea {border:1px solid [[ColorPalette::PrimaryMid]]; width:100%;}
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.readOnly {background:[[ColorPalette::TertiaryPale]];}

#backstageArea {background:[[ColorPalette::Foreground]]; color:[[ColorPalette::TertiaryMid]];}
#backstageArea a {background:[[ColorPalette::Foreground]]; color:[[ColorPalette::Background]]; border:none;}
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#backstageCloak {background:[[ColorPalette::Foreground]]; opacity:0.6; filter:alpha(opacity=60);}
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ol ol ol ol ol ol ol {list-style-type:decimal;}

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.outdent {margin-left:3em; text-indent:-3em;}
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/* the 'a' is required for IE, otherwise it renders the whole tiddler in bold */
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#splashScreen {display:none;}

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.footer li {display:inline;}

.annotation {padding:0.5em; margin:0.5em;}

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.viewer {line-height:1.4em; padding-top:0.5em;}
.viewer .button {margin:0 0.25em; padding:0 0.25em;}
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.viewer ul, .viewer ol {margin-left:0.5em; padding-left:1.5em;}

.viewer table, table.twtable {border-collapse:collapse; margin:0.8em 1.0em;}
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.zoomer div {padding:1em;}

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#backstageCloak {display:none; z-index:20; position:absolute; width:100%; height:100px;}

.whenBackstage {display:none;}
.backstageVisible .whenBackstage {display:block;}
StyleSheet for use when a translation requires any css style changes.
This StyleSheet can be used directly by languages such as Chinese, Japanese and Korean which need larger font sizes.
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#sidebarOptions {font-size:1.05em;}
#sidebarOptions a {font-style:normal;}
#sidebarOptions .sliderPanel {font-size:0.95em;}
.subtitle {font-size:0.8em;}
.viewer table.listView {font-size:0.95em;}
@media print {
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#displayArea {margin: 1em 1em 0em;}
noscript {display:none;} /* Fixes a feature in Firefox where print preview displays the noscript content */
<div class='toolbar' role='navigation' macro='toolbar [[ToolbarCommands::ViewToolbar]]'></div>
<div class='title' macro='view title'></div>
<div class='subtitle'><span macro='view modifier link'></span>, <span macro='view modified date'></span> (<span macro='message views.wikified.createdPrompt'></span> <span macro='view created date'></span>)</div>
<div class='tagging' macro='tagging'></div>
<div class='tagged' macro='tags'></div>
<div class='viewer' macro='view text wikified'></div>
<div class='tagClear'></div>
I am a Full  Professor at the [[Department of Mathematics|]], [[ICMC-USP|]], at the USP campus at [[São Carlos|,-47.683411&sspn=1.716186,2.436218&ie=UTF8&hq=&hnear=S%C3%A3o+Carlos+-+S%C3%A3o+Paulo,+Brazil&ll=-21.207459,-46.318359&spn=53.616966,77.958984&t=h&z=4]]. My main interest on research is the study dynamical systems, and in particular one-dimensional dynamical systems, renormalization  and ergodic theory. 

@@color(gray):November 3th  2021,  19:01.@@

Those  birds are from two of the wonderful plates in "Birds from Brazil and Mexico", by  William Swainson (1789-1855). This amazing work is now public domain.
[[About me]]
[[How to reach me]]
E-mail: smania[img[ee|dd.gif]]
Office at ~ICMC-USP: 3-232. 

Youtube channel:

 [[smaniamat|]]  (com vídeos  sobre a matéria de  algumas disciplinas oferecidas)


Daniel Smania
[[Departamento de Matemática|]]
[[Instituto de Ciências Matemáticas e de Computação|]]
[[USP|]] Campus de São Carlos
Avenida Trabalhador São-carlense, 400 
CEP: 13566-590 
[[São Carlos|,+Brazil&ll=-22.024546,-47.8125&spn=57.262216,80.507812&t=h&z=4]]  SP

Office: (55) (16) 3373-6633
Fax: (55) (16) 3373-9650 

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[[About me]]
[[How to reach me]]
[[About those birds]]

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@@color(gray):Feb 13th  2012,  14:54.@@

''On  infinitely cohomologous to zero observables.'' [[PDF|inf_co.pdf]][<img[New.gif]]
with Amanda de Lima.   
[[Ergodic Theory and Dynamical Systems (First published online 2012).|]]
@@color(gray):Aug 11th  2011,  10:26.@@

''Renormalization for piecewise smooth homeomorphisms on the circle.'' [[PDF|]][<img[New.gif]]
with Kleyber Cunha (UFBA).   Preprint. 2011.
@@color(gray):Jan 9th  2012,  10:50.@@

''Rigidity for piecewise smooth homeomorphisms on the circle.'' [[PDF|]][<img[New.gif]]
with Kleyber Cunha (UFBA).   Preprint. 2012.
@@color(gray):Apr 22nd  2009,  19:35.@@

We have a new preprint 

''Piecewise analytic subactions for analytic dynamics.'' [[PDF|subactions.pdf]]
with [[Gonzalo Contreras|]], [[Artur O. Lopes|]] and Elismar R. Oliveira.   Preprint. 2009.

@@color(gray):Mar 30th  2010,  14:01.@@

''Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps.'' [[PDF|]]
with  [[Viviane Baladi|]] (CNRS, ENS).   Preprint. 2010.
@@color(gray):Mar 2nd  2011,  18:36.@@

A nova página da disciplina  [[Cálculo I|]] está disponível
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@@color(gray):Jan 20th  2020,  13:25.@@

The paper 

''Classic and exotic Besov spaces induced by good grids.''
[[Preprint at ArXiv|]]

was accepted by [[The Jounal of Geometric Analysis|]]
@@color(gray):Jul 28th  2009,  19:38.@@

We have a new preprint 

''On  infinitely cohomologous to zero observables.'' [[PDF|infcoho.pdf]]
with Amanda de Lima.   Preprint. 2009.
Below we list a few selected presentations

''Transfer operators and atomic decomposition'' 
VI Congreso Latinoamericano de Matemáticos (CLAM)-Virtual. September 2021. 
[[Video|]] [[Slides|clam-2021-09-15.pdf]] [[Presentation (html) with animations|clam-2021-09-15/index.html]]

Mainly on the  work with Alexander Arbieto in [[Preprint at ArXiv:1903.06943|]] and also
[[Preprint ArXiv:1903.06976|]] 
 [[The Journal of Geometric Analysis 31, 2481–2524 (2021) |]]
[[Preprint ArXiv:1903.06937|]]  (to appear in APDE)

''Infinitesimal Deformations of one-dimensional maps'' 
Virtual Workshop Many faces of renormalization (Simons Center for Geometry and Physics).  March 2021.
[[Video|]] (beware there are a few typos in  the slides)  [[(Corrected) Slides|infinitesimal-2021-03-12.pdf]].

Mostly on the work with Clodoaldo Ragazzo in [[Preprint ArXiv:2104.04806|]]   and [[ArXiv:2104.04820|]], but there is also reference for earlier work with Viviane Baladi and Amanda de Lima.

''Generalized Weierstrass functions, linear response problem and Central Limit Theorem'' 
Seminário EDAÍ.September 2016. 

This is on some results from Amanda de Lima Ph. D Thesis published in [[Stochastic and Dynamics  19, No. 01 (2019) |]] and [[Journal of the Institute of Mathematics of Jussieu  17 (2018) , pp. 673-733| ]].

''Solenoidal Attractors with bounded combinatorics are shy '' 
Taking the Measure of ~One-Dimensional Dynamics (Lorentz Center, Leiden). April 2016. 
New Trends in One dimensional Dynamics. Celebrating the 70th birthday of Welington de Melo (IMPA, Rio de Janeiro, November 2016.
[[Video (Rio)|]] [[Slides|leiden-2016.pdf]] [[Presentation with animations(html)|leiden-2016s/index.html]].

This is on the results in [[Annals of Mathematics 191,  Issue 1,  (2020) 1-79|]] and [[Ergodic Theory and Dynamical Systems Journal 39 (2019) pp. 1361-1400 |]].

''Renormalization for piecewise smooth homeomorphism of the circle'' 
 International Conference on Dynamical Systems, Buzios, Brazil. February 2010.

This is on the results of Kleyber Mota da Cunha Ph. D. Thesis published in [[ Advances in Mathematics Volume 250, 15 January 2014, Pages 193–226    |]] and [[ Annales de l'Institut Henri Poincare (C) Non Linear Analysis  Volume 30, Issue 3, May–June 2013,  441–462 |]]. 

''Linear response for generic smooth unimodal maps'' 
Low Dimensional Dynamics ~IMPAN-Warsaw. November-2010.

This is mainly on the work with Viviane Baladi published in [[ Annales scientifiques de l'ENS 45, fascicule 6 (2012), 861-926|]].

!  2020-

31. ''Besov-ish spaces though  atomic decomposition.''
[[ Analysis & PDE Vol. 15 (2022), No. 1, 123-174.|]]  [img[new06p.gif]]
[[Preprint at ArXv|]] 

30.  ''Complex a priori bounds for multicritical circle maps with bounded type rotation number.'' 
with Gabriela Estevez and [[Michael Yampolsky|]].
[[Bulletin of the Brazilian Mathematical Society (online first)|]]. [img[new06p.gif]]
[[Preprint at ArXiv|]] 

29.  ''Birkhoff sums as distributions II:  Applications to deformations of dynamical systems.'' [img[new06p.gif]]
with [[Clodoaldo Grotta-Ragazzo|]].
[[Preprint at ArXiv|]] 

On  March 2021 I gave a presentation on this work (and related previous works with Baladi and de Lima)  in the Virtual Workshop Many faces of renormalization (Simons Center for Geometry and Physics). A [[video|]] is available (beware there are a few typos in  the slides) . The (corrected) slides are [[here|infinitesimal-2021-03-12.pdf]].

28.   ''Birkhoff sums as distributions I: Regularity.''   [img[new06p.gif]]
with  [[Clodoaldo Grotta-Ragazzo|]].
[[Preprint at ArXiv|]] 

27. ''Fractional susceptibility functions for the quadratic family: ~Misiurewicz-Thurston parameters.''
with [[Viviane Baladi|]].
[[Communications in Mathematical Physics (2021)-Online First |]].  [img[new06p.gif]]
[[Preprint at ArXiv|]] 

26.  ''Transfer operators,   atomic decomposition and the Bestiary.''
[[Preprint at ArXiv|]] 

25.  ''Transfer operators and  atomic decomposition.''
with [[Alexander Arbieto|]].
[[Preprint at ArXiv|]] 

On July 2020 I gave a presentation on this work in the webinar Resistencia Dinamica. A [[video|]] is available (beware there are a few typos in  the slides) . The (corrected) slides are [[here|resistencia-dinamica-2020-07-03.pdf]].

24.  ''Classic and exotic Besov spaces induced by good grids.''
 [[The Journal of Geometric Analysis 31, 2481–2524 (2021) |]].
[[Preprint at ArXiv|]]

23. ''Solenoidal attractors with bounded combinatorics are shy.'' 
[[Annals of Mathematics 191,  Issue 1,  (2020) 1-79|]] 
[[Preprint at ArXiv|]].

! 2017-2019

22. ''Shy shadows of infinite-dimensional partially hyperbolic invariant sets.'' 
[[Ergodic Theory and Dynamical Systems Journal 39 (2019) pp. 1361-1400 |]].
[[Preprint at ArXiv|]].

21. ''Central limit theorem for generalized Weierstrass functions.''
with Amanda de Lima.  
[[Stochastic and Dynamics  19, No. 01 (2019) |]]
[[Preprint at ArXiv|]].

20. ''Central limit theorem for the modulus of continuity of averages of observables on transversal families of piecewise expanding unimodal maps.'' 
with Amanda de Lima. 
[[Journal of the Institute of Mathematics of Jussieu  17 (2018) , pp. 673-733| ]]
[[Preprint at ArXiv|]].

19. ''Existence of C^k-invariant foliations for Lorenz type maps.'' 
with José Vidarte. 
[[Journal of Dynamics and Differential Equations 30 (2018) pp. 227–255 |]]
[[Preprint at ArXiv|]].

18. ''Holomorphic motions for unicritical correspondences.''
with Carlos Siqueira. 
[[Nonlinearity 30 (2017) 3104–3125.|]]. 
[[Preprint at ArXiv|]]

! 2014-2016

17. ''A class of cubic Rauzy fractals.''
with Bastos, J., Messaoudi, A. and Rodrigues, T..
[[Theoret. Comput. Sci. 588 (2015), 114–130.| ]]
[[Preprint at ArXiv|]].  

16. ''Metric stability for random walks (with applications in renormalization theory).''  
 with [[C. G. Moreira|]] (IMPA). 
In  [[Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday. |]] Edited by Araceli Bonifant, Misha Lyubich, & Scott Sutherland, Princeton University Press, January 2014. 

15. ''Rigidity for piecewise smooth homeomorphisms on the circle.'' 
with [[Kleyber Cunha (UFBA)|]].   
[[ Advances in Mathematics Volume 250, 15 January 2014, Pages 193–226    |]]
[[Preprint at ArXiv|]] 

! 2011-2013

14. ''Ergodic transport theory and piecewise analytic subactions for analytic dynamics'' 
with [[A. O. Lopes|  ]] and  E. R. Oliveira. [[PDF |]]
[[ Bull. of the Braz. Math. Soc. New Series 2012,  43, pp 467-512 |]]

13. ''On  infinitely cohomologous to zero observables.'' [[PDF|inf_co.pdf]]
with Amanda de Lima.  
[[Ergodic Theory and Dynamical Systems,  Volume 33, Issue 02, April 2013, pp 375-399.|]].

12. ''Renormalization for piecewise smooth homeomorphisms on the circle.'' [[PDF|]]
with [[Kleyber Cunha (UFBA)|]].   
[[ Annales de l'Institut Henri Poincare (C) Non Linear Analysis  Volume 30, Issue 3, May–June 2013,  441–462 |]]. 

11. ''Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps.'' [[PDF|]]
with  [[Viviane Baladi|]] (CNRS, ENS).  
[[ Annales scientifiques de l'ENS 45, fascicule 6 (2012), 861-926|]]. 

! 2008-2010

10. ''Renormalization for critical orders close to 2N.'' [[PDF|]]
with Judith Cruz.   Preprint. 2010.

9. ''Eigenvalues of Fibonacci stochastic adding machine.''  [[PDF|fib.pdf]]
with [[Ali Messaoudi|]]. Preprint. 2008.
[[Stochastics and Dynamics, 10 (2010),  291-313. |]] 

8. ''Alternative proofs of linear response for piecewise expanding unimodal maps.'' [[PDF|spectral.pdf]]
with [[Viviane Baladi|]] (CNRS, ENS).  Preprint, 2008.
[[Ergodic Theory and Dynamical Systems,  30 (2010), 1-20.|]]

7. ''Analyticity of the SRB measure for holomorphic families of quadratic-like Collet - Eckmann maps.'' [[PDF|CE-hol.pdf]]
with [[Viviane Baladi|]]  (CNRS, ENS).  
[[Proc. Amer. Math. Soc.  137  (2009), 1431-1437.|]]

6. ''Smooth deformations of piecewise expanding unimodal maps.'' [[PDF|smooth.pdf]]
with [[Viviane Baladi|]]  (CNRS, ENS).  2007. 
[[Discrete and Continuous Dynamical Systems (DCDS-A), 23 (2009), 685 - 703. |]]

5. ''Linear response formula for piecewise expanding unimodal map.'' [[PDF|conja.pdf]]
with [[Viviane Baladi|]] (CNRS).  
[[Nonlinearity 21 (2008) 677-711.|]]

! 2001-2007

4. ''Puzzle geometry and rigidity: The Fibonacci cycle is hyperbolic.'' [[PDF|ren.pdf]]
[[J. Amer. Math. Soc. 20 (2007), no. 3, 629-673.|]]

3. ''On the hyperbolicity of the period doubling fixed point.'' [[PDF|hyper.pdf]]
[[Trans. Amer. Math. Soc. 358 (2006), no. 4, 1827-1846.|]]

2. ''Phase space universality for multimodal maps. '' [[PDF|multi.pdf]]
[[Bull. Braz. Math. Soc, New Series 36 (2005), no. 2,  225-274.|]]

1. ''Complex bounds for multimodal maps: bounded combinatorics.''
 [[Nonlinearity 14 (2001), no 5, 1311-1330.|]]

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  Daniel Smania
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@@color(gray):Jun 17th  2011,  10:03.@@

I gave a talk in  the conference  [[Geometric and Algebraic Structures in Mathematics|]]  at Stony Brook, May 25-June 4, 2011, a Conference to celebrate Dennis Sullivan’s 70th birthday.   The talk was about my current project on  renormalization for multimodal maps. The [[video|]] and  [[slides|]] are available in the website of the conference.  All the talks were recorded and you can see them [[here|]].

As páginas das disciplinas que estou oferecendo neste semestre:

[[Cálculo II|]]

eu estou criando uma biblioteca de vídeos sobre disciplinas de Matemática. Inicialmente estou realizando  vídeos da disciplina Cálculo I (Cálculo de uma variável real). Críticas e sugestões sobre os vídeos são bem vindas!! Os vídeos estão no canal do Youtube 


Abaixo estão disponíveis links para cursos que ofereci no passado, com listas de exercícios, questões de provas, etc:

[[Cálculo I|]]

[[Geometria analítica| ]]

[[Sistemas Dinâmicos (pós-graduação)|]]

[[Cálculo III|]]

[[Análise I|]]

[[Cálculo I|]]

[[Equações Diferenciais Ordinárias|]]

[[Topologia  (pós-graduação)|]]

[[Matemática Discreta II|]]

[[Matemática Do Ensino Médio II|]]

[[Sistemas Dinâmicos (pós-graduação)|]]

[[Análise II|]]

[[Estruturas algébricas|]]

[[Álgebra Linear e Equações Diferenciais Ordinárias|]]
 In portuguese ([[Lattes|]])  or  in  english ( [[ PDF|]] ).
@@color(gray):Jun 17th  2011,  09:27.@@

Estou criando uma biblioteca de vídeos sobre a disciplina Cálculo I. Eles podem ser encontrados aqui

Youtube channel:

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