Publications
Presentations
Teaching
Schedule
About me
How to reach me
Vitae
About those birds
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<<closeBlog>> [>img[me4.png]] I am a Full Professor at the [[Department of Mathematics|http://www.icmc.usp.br/~sma/]], [[ICMC-USP|http://www.icmc.usp.br/]], at the USP campus at [[São Carlos|http://maps.google.com/maps?f=q&source=s_q&hl=en&geocode=&q=sao+carlos&sll=-22.428801,-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.
[[Publications]] [[Presentations]] [[Teaching]] [[About me]] [[How to reach me]] [[Schedule]] [[Vitae]]
<<closeBlog>> E-mail: smania[img[ee|dd.gif]] icmc.usp.br Office at ~ICMC-USP: 3-232. Youtube channel: [[smaniamat| http://www.youtube.com/user/smaniamat]] (com vídeos sobre a matéria de algumas disciplinas oferecidas) Address: Daniel Smania [[Departamento de Matemática|http://www.icmc.usp.br/~sma/]] [[Instituto de Ciências Matemáticas e de Computação|http://www.icmc.usp.br/]] [[USP|http://www.usp.br]] Campus de São Carlos Avenida Trabalhador São-carlense, 400 CEP: 13566-590 [[São Carlos|http://maps.google.com/maps?q=google+maps+sao+carlos&ie=UTF8&hq=&hnear=S%C3%A3o+Carlos+-+S%C3%A3o+Paulo,+Brazil&ll=-22.024546,-47.8125&spn=57.262216,80.507812&t=h&z=4]] SP Brazil Phones: Office: (55) (16) 3373-6633 Fax: (55) (16) 3373-9650
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[[Publications]] [[Presentations]] [[Teaching]] [[Schedule]] [[About me]] [[How to reach me]] [[Vitae]] [[About those birds]]
<meta name="description" content="Daniel Smania is a mathematician working at ICMC-USP, Sao Carlos, Brazil. His main area of interest is dynamical systems. This is his webpage. ">
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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).|http://dx.doi.org/10.1017/S0143385711000976]]
@@color(gray):Aug 11th 2011, 10:26.@@ ''Renormalization for piecewise smooth homeomorphisms on the circle.'' [[PDF|http://arxiv.org/pdf/1108.1968]][<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|http://xxx.lanl.gov/pdf/1201.1401]][<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|http://www.cimat.mx/~gonzalo/]], [[Artur O. Lopes|http://mat.ufrgs.br/~alopes/]] 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|http://arxiv.org/pdf/1003.5592]] with [[Viviane Baladi|http://www.dma.ens.fr/~baladi/]] (CNRS, ENS). Preprint. 2010.
@@color(gray):Mar 2nd 2011, 18:36.@@ A nova página da disciplina [[Cálculo I|http://www.icmc.usp.br/~smania/sma301/index.html]] 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|https://arxiv.org/abs/1903.06941]] was accepted by [[The Jounal of Geometric Analysis|https://link.springer.com/journal/12220]]
@@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|https://youtu.be/aOz_nwSHKi0]] [[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|https://arxiv.org/abs/1903.06943]] and also [[Preprint ArXiv:1903.06976|https://arxiv.org/abs/1903.06976]] [[The Journal of Geometric Analysis 31, 2481–2524 (2021) |https://doi.org/10.1007/s12220-020-00361-x]] [[Preprint ArXiv:1903.06937|https://arxiv.org/abs/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|http://scgp.stonybrook.edu/video_portal/video.php?id=4694]] (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|https://arxiv.org/abs/2104.04806]] and [[ArXiv:2104.04820|https://arxiv.org/abs/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. [[Slides|edai-2016-09.pdf]] This is on some results from Amanda de Lima Ph. D Thesis published in [[Stochastic and Dynamics 19, No. 01 (2019) |https://doi.org/10.1142/S0219493719500023]] and [[Journal of the Institute of Mathematics of Jussieu 17 (2018) , pp. 673-733|http://dx.doi.org/10.1017/S1474748016000177 ]]. ''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)|https://www.youtube.com/watch?v=A54cyw52IF8&t=1418s]] [[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|https://annals.math.princeton.edu/2020/191-1/p01]] and [[Ergodic Theory and Dynamical Systems Journal 39 (2019) pp. 1361-1400 | https://doi.org/10.1017/etds.2017.65]]. ''Renormalization for piecewise smooth homeomorphism of the circle'' International Conference on Dynamical Systems, Buzios, Brazil. February 2010. [[Slides|buzios-2010-02.pdf]] 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 |http://dx.doi.org/10.1016/j.aim.2013.09.017]] and [[ Annales de l'Institut Henri Poincare (C) Non Linear Analysis Volume 30, Issue 3, May–June 2013, 441–462 | http://www.sciencedirect.com/science/article/pii/S0294144912000868]]. ''Linear response for generic smooth unimodal maps'' Low Dimensional Dynamics ~IMPAN-Warsaw. November-2010. [[Slides|banach-center-2010-11-15-22-55.pdf]] This is mainly on the work with Viviane Baladi published in [[ Annales scientifiques de l'ENS 45, fascicule 6 (2012), 861-926| https://smf.emath.fr/node/44289]].
<<closeBlog>> ! 2020- 31. ''Besov-ish spaces though atomic decomposition.'' [[ Analysis & PDE Vol. 15 (2022), No. 1, 123-174.| https://doi.org/10.2140/apde.2022.15.123]] [img[new06p.gif]] [[Preprint at ArXv|https://arxiv.org/abs/1903.06937]] 30. ''Complex a priori bounds for multicritical circle maps with bounded type rotation number.'' with Gabriela Estevez and [[Michael Yampolsky|http://www.math.toronto.edu/yampol/]]. [[Bulletin of the Brazilian Mathematical Society (online first)|https://doi.org/10.1007/s00574-022-00295-8]]. [img[new06p.gif]] [[Preprint at ArXiv|https://arxiv.org/abs/2005.02377]] 29. ''Birkhoff sums as distributions II: Applications to deformations of dynamical systems.'' [img[new06p.gif]] with [[Clodoaldo Grotta-Ragazzo|https://orcid.org/0000-0002-4277-4173]]. [[Preprint at ArXiv|https://arxiv.org/abs/2104.04820]] 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|http://scgp.stonybrook.edu/video_portal/video.php?id=4694]] is available (beware there are a few typos in the slides) . The (corrected) slides are [[here|infinitesimal-2021-03-12.pdf]]. [[Presentation at IMPA (November-2022)(slides)|https://sites.icmc.usp.br/smania/impa-2022-11/#0]] [[Presentation at IMPA (November-2022)(PDF)|https://sites.icmc.usp.br/smania/impa-2022-11.pdf]] 28. ''Birkhoff sums as distributions I: Regularity.'' [img[new06p.gif]] with [[Clodoaldo Grotta-Ragazzo|https://orcid.org/0000-0002-4277-4173]]. [[Preprint at ArXiv|https://arxiv.org/abs/2104.04806]] 27. ''Fractional susceptibility functions for the quadratic family: ~Misiurewicz-Thurston parameters.'' with [[Viviane Baladi|http://baladi.perso.math.cnrs.fr]]. [[Communications in Mathematical Physics (2021)-Online First |https://doi.org/10.1007/s00220-021-04015-z]]. [img[new06p.gif]] [[Preprint at ArXiv|https://arxiv.org/abs/2008.01654]] 26. ''Transfer operators, atomic decomposition and the Bestiary.'' [[Preprint at ArXiv|https://arxiv.org/abs/1903.06976]] 25. ''Transfer operators and atomic decomposition.'' with [[Alexander Arbieto|http://www.im.ufrj.br/~arbieto/]]. [[Preprint at ArXiv|https://arxiv.org/abs/1903.06943]] On July 2020 I gave a presentation on this work in the webinar Resistencia Dinamica. A [[video|https://www.youtube.com/watch?v=oMUr2juIAY0&feature=youtu.be]] 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) |https://doi.org/10.1007/s12220-020-00361-x]]. [[Preprint at ArXiv|https://arxiv.org/abs/1903.06941]] 23. ''Solenoidal attractors with bounded combinatorics are shy.'' [[Annals of Mathematics 191, Issue 1, (2020) 1-79|https://annals.math.princeton.edu/2020/191-1/p01]] [[Preprint at ArXiv|http://arxiv.org/abs/1603.06300]]. ! 2017-2019 22. ''Shy shadows of infinite-dimensional partially hyperbolic invariant sets.'' [[Ergodic Theory and Dynamical Systems Journal 39 (2019) pp. 1361-1400 | https://doi.org/10.1017/etds.2017.65]]. [[Preprint at ArXiv|http://arxiv.org/abs/1508.07388]]. 21. ''Central limit theorem for generalized Weierstrass functions.'' with Amanda de Lima. [[Stochastic and Dynamics 19, No. 01 (2019) |https://doi.org/10.1142/S0219493719500023]] [[Preprint at ArXiv|http://arxiv.org/abs/1508.02033]]. 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|http://dx.doi.org/10.1017/S1474748016000177 ]] [[Preprint at ArXiv|http://arxiv.org/abs/1503.01423]]. 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 |http://dx.doi.org/10.1007/s10884-016-9539-1]] [[Preprint at ArXiv|http://arxiv.org/abs/1501.05692]]. 18. ''Holomorphic motions for unicritical correspondences.'' with Carlos Siqueira. [[Nonlinearity 30 (2017) 3104–3125.|https://doi.org/10.1088/1361-6544/aa7736]]. [[Preprint at ArXiv|http://arxiv.org/abs/1608.04333]] ! 2014-2016 17. ''A class of cubic Rauzy fractals.'' with Bastos, J., Messaoudi, A. and Rodrigues, T.. [[Theoret. Comput. Sci. 588 (2015), 114–130.| http://www.sciencedirect.com/science/article/pii/S030439751500314X ]] [[Preprint at ArXiv|http://arxiv.org/abs/1408.1673]]. 16. ''Metric stability for random walks (with applications in renormalization theory).'' [[PDF|http://arxiv.org/pdf/math/0503736]] with [[C. G. Moreira|http://w3.impa.br/~gugu/]] (IMPA). In [[Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday. | http://press.princeton.edu/titles/10167.html]] 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)| http://www.sd.mat.ufba.br/~kleyber/]]. [[ Advances in Mathematics Volume 250, 15 January 2014, Pages 193–226 |http://dx.doi.org/10.1016/j.aim.2013.09.017]] [[Preprint at ArXiv|http://xxx.lanl.gov/pdf/1201.1401]] ! 2011-2013 14. ''Ergodic transport theory and piecewise analytic subactions for analytic dynamics'' with [[A. O. Lopes| http://www.mat.ufrgs.br/~alopes/ ]] and E. R. Oliveira. [[PDF | http://arxiv.org/abs/1205.5758]] [[ Bull. of the Braz. Math. Soc. New Series 2012, 43, pp 467-512 | http://link.springer.com/article/10.1007/s00574-012-0023-1]] 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.|http://dx.doi.org/10.1017/S0143385711000976]]. 12. ''Renormalization for piecewise smooth homeomorphisms on the circle.'' [[PDF|http://arxiv.org/pdf/1108.1968]] with [[Kleyber Cunha (UFBA)| http://www.sd.mat.ufba.br/~kleyber/]]. [[ Annales de l'Institut Henri Poincare (C) Non Linear Analysis Volume 30, Issue 3, May–June 2013, 441–462 | http://www.sciencedirect.com/science/article/pii/S0294144912000868]]. 11. ''Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps.'' [[PDF|http://arxiv.org/pdf/1003.5592]] with [[Viviane Baladi|http://www.dma.ens.fr/~baladi/]] (CNRS, ENS). [[ Annales scientifiques de l'ENS 45, fascicule 6 (2012), 861-926|https://smf.emath.fr/node/44289]]. ! 2008-2010 10. ''Renormalization for critical orders close to 2N.'' [[PDF|http://arxiv.org/pdf/1001.1271]] with Judith Cruz. Preprint. 2010. 9. ''Eigenvalues of Fibonacci stochastic adding machine.'' [[PDF|fib.pdf]] with [[Ali Messaoudi|http://www.mat.ibilce.unesp.br/personal/ali.html]]. Preprint. 2008. [[Stochastics and Dynamics, 10 (2010), 291-313. |http://dx.doi.org/10.1142/S0219493710002966]] 8. ''Alternative proofs of linear response for piecewise expanding unimodal maps.'' [[PDF|spectral.pdf]] with [[Viviane Baladi|http://www.dma.ens.fr/~baladi/]] (CNRS, ENS). Preprint, 2008. [[Ergodic Theory and Dynamical Systems, 30 (2010), 1-20.|http://dx.doi.org/10.1017/S0143385708001077]] 7. ''Analyticity of the SRB measure for holomorphic families of quadratic-like Collet - Eckmann maps.'' [[PDF|CE-hol.pdf]] with [[Viviane Baladi|http://www.dma.ens.fr/~baladi/]] (CNRS, ENS). [[Proc. Amer. Math. Soc. 137 (2009), 1431-1437.|http://www.ams.org/proc/2009-137-04/S0002-9939-08-09651-2/home.html]] 6. ''Smooth deformations of piecewise expanding unimodal maps.'' [[PDF|smooth.pdf]] with [[Viviane Baladi|http://www.dma.ens.fr/~baladi/]] (CNRS, ENS). 2007. [[Discrete and Continuous Dynamical Systems (DCDS-A), 23 (2009), 685 - 703. |http://dx.doi.org/10.3934/dcds.2009.23.685]] 5. ''Linear response formula for piecewise expanding unimodal map.'' [[PDF|conja.pdf]] with [[Viviane Baladi|http://www.dma.ens.fr/~baladi/]] (CNRS). [[Nonlinearity 21 (2008) 677-711.|http://dx.doi.org/10.1088/0951-7715/21/4/003]] ! 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.|http://www.ams.org/jams/2007-20-03/S0894-0347-07-00550-4/home.html]] 3. ''On the hyperbolicity of the period doubling fixed point.'' [[PDF|hyper.pdf]] [[Trans. Amer. Math. Soc. 358 (2006), no. 4, 1827-1846.|http://www.ams.org/tran/2006-358-04/S0002-9947-05-03803-1/home.html]] 2. ''Phase space universality for multimodal maps. '' [[PDF|multi.pdf]] [[Bull. Braz. Math. Soc, New Series 36 (2005), no. 2, 225-274.|https://doi.org/10.1007/s00574-005-0038-y]] 1. ''Complex bounds for multimodal maps: bounded combinatorics.'' [[Nonlinearity 14 (2001), no 5, 1311-1330.|http://dx.doi.org/10.1088/0951-7715/14/5/320]]
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ICMC
{{left{[img[birdy-brazil-mexico-fundo-def.png]]}}} {{right{[img[birdy-brazil-mexico-def.png]]}}} Daniel Smania
https://sites.icmc.usp.br/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|http://www.math.sunysb.edu/dennisfest/]] 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|http://www.math.sunysb.edu/Videos/dfest/video.php?f=44-Smania-vb]] and [[slides|http://www.math.sunysb.edu/Videos/dfest/video.php?f=44-Smania-vb]] are available in the website of the conference. All the talks were recorded and you can see them [[here|http://www.math.sunysb.edu/Videos/dfest]].
<<closeBlog>> As páginas das disciplinas que estou oferecendo neste semestre: [[Cálculo II|http://www.icmc.usp.br/~smania/sma332/index.html]] 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 [[http://www.youtube.com/user/smaniamat| http://www.youtube.com/user/smaniamat]] Abaixo estão disponíveis links para cursos que ofereci no passado, com listas de exercícios, questões de provas, etc: [[Cálculo I|http://www.icmc.usp.br/~smania/sma301/index.html]] [[Geometria analítica| http://www.icmc.usp.br/~smania/sma300/index.html ]] [[Sistemas Dinâmicos (pós-graduação)|http://www.icmc.usp.br/~smania/sma5761/index.html]] [[Cálculo III|http://www.icmc.usp.br/~smania/sma333/index.html]] [[Análise I|http://www.icmc.usp.br/~smania/sma307/index.html]] [[Cálculo I|http://www.icmc.usp.br/~smania/sma301/index.html]] [[Equações Diferenciais Ordinárias|http://www.icmc.usp.br/~smania/sma127/index.html]] [[Topologia (pós-graduação)|http://www.icmc.usp.br/~smania/sma5706/index.html]] [[Matemática Discreta II|http://www.icmc.usp.br/~smania/sma181/index.html]] [[Matemática Do Ensino Médio II|http://www.icmc.usp.br/~smania/slc591/index.html]] [[Sistemas Dinâmicos (pós-graduação)|http://www.icmc.usp.br/~smania/sma5761/index.html]] [[Análise II|http://www.icmc.usp.br/~smania/sma308/index.html]] [[Estruturas algébricas|http://www.icmc.usp.br/~smania/slc532/index.html]] [[Álgebra Linear e Equações Diferenciais Ordinárias| http://www.icmc.usp.br/~smania/sma182/index.html]]
In portuguese ([[Lattes|http://lattes.cnpq.br/5416521015640279]]) or in english ( [[ PDF|http://www.icmc.usp.br/~smania/vitae.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: [[smaniamat| http://www.youtube.com/user/smaniamat]]
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