Andr&eacute;s Sambarino.<br>
Charg&eacute; de Recherche.<br>
HDR 2019.<br>

<br>

  <img src="hoja.jpg" width="282" border="0" alt="">  <img src="bib.jpg" width="282" border="0" alt="">  <img src="IMG_0642.jpg" width="281" border="0" alt="">
  
<br>
mail: andres.sambarino@protonmail.com<br>

<a href="http://coloquiooleis.wordpress.com/">Coloquio Oleis</a><br>

<a href="https://sites.google.com/view/symmetricspaces2023"> School on locally symmetric spaces</a> at Montevideo / Feb. 28 - March 10 (2023).<br>

<h3>Preprints</h3>

<ul><a href="MaxEntropy.pdf">(pdf)</a> Lipschitz limit sets revisited: Hilbert entropy and non-differentiability, with <a href="https://www.mathi.uni-heidelberg.de/~pozzetti/">Beatrice Pozzetti</a>, 2022.</ul>

<ul><a href="ergo.pdf">(pdf)</a> A report on an ergodic dichotomy. 2022. <a href="https://arxiv.org/abs/2202.02213">(Arxiv)</a></ul>

<ul><a href="positive.pdf">(pdf)</a> Infinitesimal Zariski closures of positive representations. 2020. <a href="https://arxiv.org/abs/2012.10276">(Arxiv)</a></ul>





<h3>Accepted for publication</h3>



<ul><a href="Jacobian.pdf">(pdf)</a> Anosov representations with Lipschitz limit set, 
	with <a href="https://www.mathi.uni-heidelberg.de/~pozzetti/">Beatrice Pozzetti</a> and <a href="https://www.mathi.uni-heidelberg.de/~wienhard/">Anna Wienhard</a>. 2019. To appear in <i>Geom. &amp; Top.</i> <a href="https://arxiv.org/abs/1910.06627">(Arxiv)</a></ul>



<h3>Publications</h3>


<ul><a href="AppendixArxiv.pdf">(pdf)</a> Hessian of Hausdorff dimension on purely imaginary directions, with <a href="https://sites.google.com/bc.edu/martin-bridgeman/">Martin Bridgeman</a>, <a href="https://www.mathi.uni-heidelberg.de/~pozzetti/">Beatrice Pozzetti</a> and <a href="https://www.mathi.uni-heidelberg.de/~wienhard/">Anna Wienhard</a>. <br><a href="https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/blms.12612" style="text-decoration:none"> <i>Bull. London Math. Soc.</i> 54, issue 3 (2022), pp. 1027-1050. <a href="http://arxiv.org/abs/2010.16308">(Arxiv)</a> </ul>



<ul><a href="root.pdf">(pdf)</a> Conformality for a robust class of non-conformal attractors, 
	with <a href="https://www.mathi.uni-heidelberg.de/~pozzetti/">Beatrice Pozzetti</a> and <a href="https://www.mathi.uni-heidelberg.de/~wienhard/">Anna Wienhard</a>.<br> <a href="https://doi.org/10.1515/crelle-2020-0029" style="text-decoration:none"> <i>J. Reine Angew. Math.</i> 2021, issue 774 (2021), pp. 1-51.
</ul> 


<ul><a href="AnosovDomination.pdf">(pdf)</a> Anosov representations and dominated splittings, 
	with <a href="http://www.mat.uc.cl/~jairo.bochi/">Jairo Bochi</a> and <a href="http://www.cmat.edu.uy/~rpotrie/index.html">Rafael Potrie</a>.<br> <a href="https://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=21&iss=11&rank=2" style="text-decoration:none"> <i>Jour. Europ. Math. Soc.</i> 21, issue 11 (2019), pp. 3343-3414.
</ul> 



<ul><a href="SimpleRootFlows.pdf">(pdf)</a> Simple root flows for Hitchin representations, 
	with <a href="https://sites.google.com/bc.edu/martin-bridgeman/">Martin Bridgeman</a>, <a href="http://www.math.lsa.umich.edu/~canary/">Dick Canary</a> and <a href="https://math.unice.fr/~labourie/">Fran&ccedil;ois Labourie</a>. <br><a href="https://link.springer.com/article/10.1007/s10711-017-0305-2" style="text-decoration:none"><i>Geom. Dedic.</i> 192 (2018) pp. 57-86.<i> William Goldman's 60th birthday special edition.</i></a></ul>






<ul><a href="Survey.pdf">(pdf)</a> Introduction to pressure metrics on higher Teichmuller spaces, with <a href="https://sites.google.com/bc.edu/martin-bridgeman/">Martin Bridgeman</a> and <a href="http://www.math.lsa.umich.edu/~canary/">Dick Canary</a>. <br><a href="https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/an-introduction-to-pressure-metrics-for-higher-teichmuller-spaces/A2D36D105F876B7DEFACA2F7B2B8B1E4" style="text-decoration:none"><i>Ergod. Th. &amp Dynam. Sys.</i> 28 issue 6 (2018), pp. 2001-2035. </a> </ul>




<ul><a href="entropiaHitchin.pdf">(pdf)</a> Eigenvalues and entropy of a Hitchin representation, with <a href="http://www.cmat.edu.uy/~rpotrie/index.html">Rafael Potrie</a>.
	 <br><a href="https://link.springer.com/article/10.1007/s00222-017-0721-9" style="text-decoration:none">
	 	<i>Invent. Math.</i> 209, issue 3 (2017), pp. 885-925. </a></ul>


<ul>Appendix of: <a href="http://xxx.tau.ac.il/abs/1411.2288">(Arxiv)</a> Amalgam Anosov representations, by <a href="http://www.math.lsa.umich.edu/~canary/">Dick Canary</a>, Michelle Lee and <a href="https://math.temple.edu/~tuf27009/pubs.html">Matthew Stover</a>.
	 <br><a href="https://msp.org/gt/2017/21-1/p05.xhtml" style="text-decoration:none">
	 	<i>Geom. &amp Top.</i> 21, issue 1 (2017), pp. 215-251, </a> joint with the authors.</ul>


<ul><a href="regularityandrigidity.pdf">(pdf)</a> On entropy, regularity and rigidity for convex
representations of hyperbolic manifolds.<br> <a href="http://link.springer.com/article/10.1007%2Fs00208-015-1215-y"
  style="text-decoration:none">
	<i>Math. Annalen.</i> 364, issue 1 (2016), pp.453-483. </a></ul>

<ul><a href="Pressure.pdf">(pdf)</a> The Pressure metric for Anosov representations, with 
<a href="https://sites.google.com/bc.edu/martin-bridgeman/">Martin Bridgeman</a>, <a href="http://www.math.lsa.umich.edu/~canary/">Dick Canary</a> and <a href="https://math.unice.fr/~labourie/">Fran&ccedil;ois Labourie</a>.<br> 
<a href="http://link.springer.com/article/10.1007/s00039-015-0333-8" style="text-decoration:none">
	<i>Geom. Funct. Anal.</i> 25, issue 4 (2015), pp.1089-1179.</a> </ul>

<ul><a href="Weylflow.pdf">(pdf)</a> The orbital counting problem for hyperconvex
representations.<br> <a href="http://aif.cedram.org/aif-bin/fitem?id=AIF_2015__65_4_1755_0" 
style="text-decoration:none"><i>Ann. Inst. Fourier.</i> 65, issue 4 (2015), pp. 1755-1797.</a></ul>


<ul><a href="growthindicator.pdf" >(pdf)</a> Hyperconvex representations and exponential
growth.<br>
<a href="http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9250557&fileId=S0143385712001708" style="text-decoration:none" >
	
<i>Ergod. Th. &amp Dynam. Sys.</i> 34, issue 3 (2014), pp.986-1010.</a></ul>

<ul><a href="counting.pdf">(pdf)</a> Quantitative properties of convex representations.<br>
<a href="http://www.ems-ph.org/journals/show_abstract.php?issn=0010-2571&vol=89&iss=2&rank=6" style="text-decoration:none">
	
<i>Comment. Math. Helv.</i> 89, issue 2 (2014), pp. 443-488.
</a></ul>