Huyi Hu's Home Page
Some Papers and Preprints

Polynomial decay of correlations for almost Anosov diffeomorphisms,
submitted,
(with Xu Zhang).
[ pdf ]

Exponential mixing of torus extensions over expanding maps,
submitted,
(with Jianyu Chen).
[ pdf ]

Some ergodic and rigidity properties of discrete Heisenberg group actions,
submitted,
(with Enhui Shi and Zhenqi Wang).
[ pdf ]

Polynomial decay for nonuniformly expanding maps,
submitted,
(with Sandro Vaienti).
[ pdf ]

Quasishadowing for partially hyperbolic diffeomorphisms,
Ergodic Theory & Dynamical Systems,
35 (2015), 412430, (with Yunhua Zhou and Yujun Zhu).
[ pdf
 dvi
 ps ]

Polynomial loss of memory for maps of the interval with a neutral
fixed point,
Discrete and Continuous Dynamical Systems,
35 (2015), 793806, (Romain Aimino, Matt Nicol, Andrew Torok and Sandro Vaienti).
[ pdf ]

Pseudoorbits, stationary measures and metastability,
Dynamical Systems: An International Journal,
29 (2014), 322336, (with Wael Bahsoun and Sandro Vaienti).
[ pdf ]

Quasistability of partially hyperbolic diffeomorphisms,
Transactions of the American Mathematical Society,
366 (2014), 37873804, (with Yujun Zhu).
[ pdf
 dvi
 ps ]

A volume preserving flow with essential coexistence
of zero and nonzero Lyapunov exponents,
Ergodic Theory & Dynamical Systems,
33 (2013), 17481785, (with Jianyu Chen and Yakov Pesin).
[ pdf
 dvi
 ps ]

The essential coexistence phenomenon in dynamics,
Dynamical Systems: An International Journal,
28 (2013), 453472 (with Jianyu Chen and Yakov Pesin).
[ pdf ]

A volume preserving diffeomorphism with essential coexistence
of zero and nonzero Lyapunov exponents,
Communications in Mathematical Physics, 319 (2013), 331378
(with Yakov Pesin and Anna Talitskaya).
[ pdf
 dvi
 ps ]

Nonadditive measuretheoretic pressure and applications to dimensions
of an ergodic measure,
Ergodic Theory & Dynamical Systems, 33 (2013), 831850
(with Yongluo Cao and Yun Zhao).
[ pdf  dvi
 ps ]

Quasisymmetric property for conjugacies between
Anosov diffeomorphisms of the twotorus,
Science China Mathematics , 53 (2010), 663670,
(with Yunping Jiang).
[ pdf
 dvi
 ps]

The dimensions of nonconformal repeller and average,
Transactions of the American Mathematical Society,
362 (2010), 727751,
(with Jungchao Ban and Yongluo Cao).
[ pdf dvi
 ps]

Dimension theory of iterated function systems,
Communications on Pure and Applied Mathematics,
62 (2009), 14351500,
(with DeJun Feng).
[ pdf  dvi
 ps ]

Absolutely continuous invariant measures for
some nonuniformly expanding maps,
Ergodic Theory & Dynamical Systems, 29 (2009), 11851215,
(with Sandro Vaienti).
[ pdf  dvi
 ps ]

Infimum of the metric entropy of hyperbolic attractors with respect
to the SRB measure,
Discrete and Continuous Dynamical Systems, 22 (2008), 215234,
(with Miaohua Jiang and Yunping Jiang).
[ pdf
 dvi
 ps ]

Equilibriums of some nonHolder potentials,
Transactions of the American Mathematical Society,
360 (2008), 21532190.
[ pdf  dvi
 ps ]

Every compact manifold carries a hyperbolic Bernoulli flow,
in Modern dynamical systems and applications, 347358,
Cambridge Univ. Press, Cambridge, 2004,
(with Yakov Pesin and Anna Talitskaya).
[ pdf 
dvi
 ps ]

Decay of correlations for piecewise smooth maps
with indifferent fixed points, Ergodic Theory & Dynamical Systems,
24(2004), 495524.
[ pdf  dvi
 ps ]

Ergodic components of volume preserving hyperbolic diffeomorphisms,
in Complex Dynamics and Related Topics, 170198,
New Studies in Advanced Mathematics, Vol. 5, International Press, 2004.
[ pdf  dvi
 ps ]

Statistics of Poincare recurrences for area
preserving maps with integrable and ergodic components,
Chaos 14, 160 (2004), 160171,
(with A. Rampioni, L. Rossi, G. Turchetti, S. Vaienti).

An example of a smooth hyperbolic measure with countably
many ergodic components, in Smooth Ergodic Theory and
Its Applications (Seattle, 1999), 95108,
Proc. Sympos. Pure Math., 69, Amer. Math. Soc., Providence, RI,
2001, (with Dmitry Dolgopyat and Yakov Pesin).
[ pdf  dvi
 ps ]

Statistical properties of almost hyperbolic systems,
in Smooth Ergodic Theory and
Its Applications (Seattle, 1999), 367384,
Proc. Sympos. Pure Math., 69, Amer. Math. Soc., Providence, RI,
2001.
[ pdf  dvi
 ps ]

Conditions for the existence of SBR measures
of ``almost Anosov'' diffeomorphisms,
Transactions of the American Mathematical Society,
352(2000), 23312367.
[ pdf  dvi
 ps ]

Ergodic theory of almost hyperbolic systems, in
Proceedings of the International Conference in
Dynamical Systems in Honor of Professor Liao Shantao, 8498,
World Scientific, 1999.
[ pdf  dvi
 ps ]

Box dimension and topological pressure for some expanding maps,
Communications in Mathematical Physics, 191(1998), 397407.
[ pdf  dvi
 ps ]

Dimensions of invariant sets of expanding maps,
Communications in Mathematical Physics, 176(1996), 307320.
[ pdf  dvi
 ps ]

Nonexistence of SBR measures for some diffeomorphisms
that are ``almost Anosov'',
Ergodic Theory & Dynamical Systems, 15(1995), 6776,
(with L.S. Young).
[ pdf  dvi
 ps ]

Some ergodic properties of commuting diffeomorphisms
Ergodic Theory & Dynamical Systems, 13(1993), 73100.
[ pdf 
dvi 
ps ]
 Locally maximal invariant sets of expanding maps,
Acta Mathematica Sinica , 35(1992), 788802.
 Pesin's entropy formula for expanding maps,
Advances in Math. (China), 19(1990), 338349.