Publications
YourName, 30 November 2022 (created 2 January 2009)
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2020-


31. Besov-ish spaces though atomic decomposition.
Analysis & PDE Vol. 15 (2022), No. 1, 123-174.
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).
Preprint at ArXiv

29. Birkhoff sums as distributions II: Applications to deformations of dynamical systems.
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.

Presentation at IMPA (November-2022)(slides)
Presentation at IMPA (November-2022)(PDF)

28. Birkhoff sums as distributions I: Regularity.
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 .
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.

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).
PDF
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
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
with Ali Messaoudi. Preprint. 2008.
Stochastics and Dynamics, 10 (2010), 291-313.

8. Alternative proofs of linear response for piecewise expanding unimodal maps. 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
with Viviane Baladi (CNRS, ENS).
Proc. Amer. Math. Soc. 137 (2009), 1431-1437.

6. Smooth deformations of piecewise expanding unimodal maps. 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
with Viviane Baladi (CNRS).
Nonlinearity 21 (2008) 677-711.

2001-2007


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

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

2. Phase space universality for multimodal maps. 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.


Presentations
YourName, 25 October 2021 (created 25 October 2021)
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Below we list a few selected presentations

Transfer operators and atomic decomposition
VI Congreso Latinoamericano de Matemáticos (CLAM)-Virtual. September 2021.
Video Slides Presentation (html) with animations

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.

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.
Slides

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 Presentation with animations(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.
Slides

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.
Slides

This is mainly on the work with Viviane Baladi published in Annales scientifiques de l'ENS 45, fascicule 6 (2012), 861-926.
Teaching
YourName, 13 August 2013 (created 2 January 2009)
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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

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

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
About me
YourName, 11 April 2021 (created 10 January 2009)
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I am a Full Professor at the Department of Mathematics, ICMC-USP, at the USP campus at São Carlos. My main interest on research is the study dynamical systems, and in particular one-dimensional dynamical systems, renormalization and ergodic theory.




How to reach me
YourName, 11 April 2021 (created 2 January 2009)
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E-mail: smaniaee icmc.usp.br
Office at ICMC-USP: 3-232.


Youtube channel:

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


Address:

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 SP
Brazil

Phones:
Office: (55) (16) 3373-6633
Fax: (55) (16) 3373-9650
Schedule
YourName, 2 March 2011 (created 2 January 2009)
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Vitae
YourName, 19 August 2016 (created 3 January 2009)
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In portuguese (Lattes) or in english ( PDF ).