<html>
<TITLE> Papers of Hiroki TAKAHASI </TITLE>

<center>
<h1><b> List of Papers (Hiroki TAKAHASI) </b></h1>
</center>

<UL>

<!--<P>


<LI> Hiroki TAKAHASI, Zero-temperature limits for summable functions on countable Markov shifts,<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; preprint </a> 

		
<LI> Hiroki TAKAHASI, Ergodic optimization for summable functions on countable subshifts,<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; preprint</a> 


<LI> Hiroki TAKAHASI, Distribution of cycles in i.i.d. random perturbations of expanding maps of the circle, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 		
	
<LI> Yoshitaka SAIKI, Hiroki TAKAHASI and James A. YORKE, The twisted baker map, <br>
	&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
		
	<LI> Hiroki TAKAHASI, Ergodic optimization for summable functions on countable subshifts,<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
		
		<LI> Hiroki TAKAHASI, Distribution of cycles in i.i.d. random perturbations of expanding maps of the circle, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
		<LI> Hiroki TAKAHASI, Representation of the Liouville measure
		on the unit tangent bundle of the modular surface in terms of closed orbits, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 

	
		<LI> Hiroki TAKAHASI, Large deviation principles for countable Markov shifts with weak Gibbs states, preprint  </a> 
<LI> Hiroki TAKAHASI, Distribution of the largest digits in the backward continued fraction expansion, preprint  </a> 


 <LI> Shintaro SUZUKI and Hiroki TAKAHASI, Almost-sure weighted equidistributions of cycles for the random Gauss map,  preprint </a> 
		
		<LI> Johannes JAERISCH and Hiroki TAKAHASI, Multifractal analysis of homological growth rates
	for hyperbolic surfaces, preprint </a> 


		<LI> Hiroki TAKAHASI, Level-2 conditional weighted equidistribution toward acip for Collet-Eckmann unimodal maps,  preprint </a> 

-->		
		
<LI> Yoshitaka SAIKI, Hiroki TAKAHASI and James A. YORKE, The twisted baker map, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; preprint, submitted </a>
		
		
		<LI> Shintaro SUZUKI and Hiroki TAKAHASI, Distribution of cycles for one-dimensional random dynamical systems,  
<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; preprint, submitted </a> 

	
<LI> Hiroki TAKAHASI and Masato TSUJII, Existence of large deviations rate function
		for any S-unimodal map, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  preprint, submitted </a> 


<LI>  Hiroki TAKAHASI, Prevalence of non-uniform hyperbolicity at the first bifurcation of H&eacutenon-like families, 
<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
preprint <a href="http://arxiv.org/abs/1308.4199">arXiv:1308.4199 </a> 

<LI> Hiroki TAKAHASI, Statistical properties of periodic points for infinitely renormalizable unimodal maps, 
<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
preprint, submitted </a> 

<LI> Yoshitaka SAIKI, Hiroki TAKAHASI and James A. YORKE, Hausdorff dimension of Cantor intersections
		for coupled horseshoe maps, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; preprint, submitted	</a> 

			
<LI> Hiroki TAKAHASI, Large deviation principle for the
	backward continued fraction expansion, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Stochastic Processes and Their Applications, 144 (2022) 153--172 </a> 

<LI> Yong Moo CHUNG and Hiroki TAKAHASI, Large deviation principle for S-unimodal maps
with flat critical points, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
Journal of the Mathematical Society of Japan, 74 (2022) 129--150 </a> 


<LI> Lulu FANG, Hiroki TAKAHASI and Yiwei ZHANG, Precise asymptotics on the Birkhoff sums for dynamical systems, 
<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
Nonlinearity, 34 (2021) 7095--7108 </a>


<LI> Yoshitaka SAIKI, Hiroki TAKAHASI and James A. YORKE, Piecewise linear maps with heterogeneous chaos, 
<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  Nonlinearity, 34 (2021) 5744--5761  </a> 

<LI> Johannes JAERISCH and Hiroki TAKAHASI, Mixed multifractal spectra of Birkhoff averages for
non-uniformly expanding one-dimensional
Markov maps with countably many branches, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Advances in Mathematics, 385 (2021) 107778</a> 
		
<LI> Hiroki TAKAHASI, Hausdorff dimension of sets with restricted, slowly growing partial quotients, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Proceedings of the American Mathematical Society, to appear </a> 
	
	
<LI> Hiroki TAKAHASI, Uniqueness of minimizer for countable Markov shifts and equidistribution of periodic points, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
Journal of Statistical Physics, 181 (2020) 2415--2431  </a> 

<LI> Hiroki TAKAHASI, Large deviations for denominators of continued fractions, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  Nonlinearity, 33 (2020) 5861--5874
 </a> 


<LI> Mao SHINODA and Hiroki TAKAHASI, Lyapunov optimization for non-generic one-dimensional expanding
Markov maps, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  <a href="http://dx.doi.org/10.1017/etds.2019.6"> 
Ergodic Theory
and Dynamical Systems </a>, 40 (2020) 2571--2592.

<LI> Hiroki TAKAHASI, Dynamics of the H&eacutenon maps (Japanese), <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <a href="https://www.mathsoc.jp/publication/sugaku/">S&#363gaku</a>,
72 (2020) 250---263.
	
	
<LI> Hiroki TAKAHASI, Entropy-approachability for transitive Markov shifts over infinite alphabet, 
<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 <a href="https://www.ams.org/publications/journals/journalsframework/proc">Proceedings of the American Mathematical Society </a>, 148 (2020) 3847--3857.

<LI> Hiroki TAKAHASI, Large Deviation Principle for arithmetic functions in continued fraction expansion, 
<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
<a href="https://link.springer.com/journal/605">Monatshefte f&#252r Mathematik </a>, 190 (2019) 137--152. 

<LI> Yong Moo CHUNG, Juan RIVERA-LETELIER and Hiroki TAKAHASI, Large deviation principle in one-dimensional dynamics, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
Inventiones mathematicae </a>, 218 (2019) 853--888.


<LI> Hiroki TAKAHASI, Large Deviation Principles for countable Markov shifts,  <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <a href="https://www.ams.org/publications/journals/journalsframework/tran">Transactions of the American Mathematical Society </a>, 372 (2019), 7831--7855.


<LI> Zin ARAI, Yutaka ISHII and Hiroki TAKAHASI, Boundary of the horseshoe locus for the H&eacutenon family, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
<a href="https://www.siam.org/journals/siads.php">
SIAM Journal on Applied Dynamical Systems
</a>, 17 (2018) 2234--2248.


<LI> Hiroki TAKAHASI, Lyapunov spectrum for H&eacutenon-like maps at the first bifurcation, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
<a href="https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/lyapunov-spectrum-for-henonlike-maps-at-the-first-bifurcation/0FB65C13CDDDBEE3ECEA78AEDDEDBA5F"> 
Ergodic Theory and Dynamical Systems, </a>
38 (2018), 1168--1200.


<LI> Hiroki TAKAHASI, Removal of phase transition in the Chebyshev quadratic
and thermodynamics for H&eacutenon-like maps near the first bifurcation, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
<a href="http://link.springer.com/article/10.1007/s10955-016-1584-y?view=classic">
Journal of Statistical Physics </a>, 164 (2016), 1354--1378.


<LI> Hiroki TAKAHASI, 
Equilibrium measures at temperature zero for H&eacutenon-like maps 
at the first bifurcation, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 <a href="https://www.siam.org/journals/siads.php">SIAM Journal on Applied Dynamical Systems </a>, 
 15 (2016), 106--124.


<LI> Hiroki TAKAHASI, Birkhoff spectrum for  H&eacutenon-like maps 
at the first bifurcation, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
<a href="http://www.tandfonline.com/doi/full/10.1080/14689367.2015.1102201">Dynamical Systems: An International Journal </a>, 
 31 (2016), 41--59. 


<LI>  Samuel SENTI and Hiroki TAKAHASI, Equilibrium measures for the H&eacutenon map at the first bifurcation:
  uniqueness and geometric/statistical properties, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 <a href="http://journals.cambridge.org/repo_A93W7ge8">
Ergodic Theory and Dynamical Systems </a>, 36 (2016), 215--255.
 

<LI>  Yong Moo CHUNG and Hiroki TAKAHASI, Multifractal formalism for Benedicks-Carleson quadratic maps, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
<a href="http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8859240&fulltextType=RA&fileId=S0143385712001885">Ergodic Theory and Dynamical Systems </a>, 
34 (2014), 1116--1141.

<LI>  Samuel SENTI and Hiroki TAKAHASI, Equilibrium measures for the H&eacutenon map at the first bifurcation, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <a href="http://iopscience.iop.org/0951-7715/26/6/1719/">Nonlinearity </a>, 
26 (2013), 1719--1741

<LI>  Yong Moo CHUNG and Hiroki TAKAHASI, Large deviation principle for Benedicks-Carleson quadratic maps, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  <a href="http://link.springer.com/article/10.1007%2Fs00220-012-1540-x">
 Communications in Mathematical Physics</a>, 315 (2012), 803--826. 

<LI> Hiroki TAKAHASI, Statistical properties of non-uniformly expanding 1d maps with logarithmic singularities, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  <a href="http://iopscience.iop.org/0951-7715/25/2/551">Nonlinearity </a>, 25 (2012), 551--567.
 
<LI> Hiroki TAKAHASI and Qiudong WANG, Non-uniformly expanding 1d maps with logarithmic singularities, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
<a href="http://iopscience.iop.org/0951-7715/25/2/533">Nonlinearity</a>, 25
     (2012), 533--550. 
	 
<LI> Hiroki TAKAHASI, Prevalent dynamics at the first bifurcation of H&eacutenon-like families, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  <a href="http://link.springer.com/article/10.1007%2Fs00220-012-1442-y">
Communications in Mathematical Physics</a>, 312 (2012), 37--85</a>.
 
<LI> Hiroki TAKAHASI, Abundance of non-uniform hyperbolicity in bifurcations of surface endomorphisms, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
<a href="http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.tjm/1313074445">
Tokyo Journal of Mathematics</a>, 34 (2011), 53--113.


<LI> Stefano LUZZATTO and Hiroki TAKAHASI, Computable conditions for the occurrence of non-uniform hyperbolicity
in families of one-dimensional maps,  <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
<a href="http://iopscience.iop.org/0951-7715/19/7/013">Nonlinearity</a>, 
19 (2006), 1657--1695.

<LI> Hiroki TAKAHASI, On the basin problem for H&eacutenon-like attractors, <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
<a href="http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.kjm/1250281779">
Journal of Mathematics of Kyoto University</a>, 46 (2006), 303--348.

</UL>

<hr>

Back to <a href="index.html"> the English Home Page</a>, 
<a href="index-j.html">the Japanese Home Page</a> <br> <br>

last modified : August 23, 2019 <br>

</html>