scholarly journals Equilibrium states of almost Anosov diffeomorphisms

2020 ◽  
Vol 40 (2) ◽  
pp. 767-780
Author(s):  
Dominic Veconi ◽  
2018 ◽  
Vol 40 (3) ◽  
pp. 663-698 ◽  
Author(s):  
HENK BRUIN ◽  
DALIA TERHESIU

The purpose of this paper is to establish mixing rates for infinite measure preserving almost Anosov diffeomorphisms on the two-dimensional torus. The main task is to establish regular variation of the tails of the first return time to the complement of a neighbourhood of the neutral fixed point.


2017 ◽  
Vol 39 (3) ◽  
pp. 832-864
Author(s):  
XU ZHANG ◽  
HUYI HU

We investigate the polynomial lower and upper bounds for decay of correlations of a class of two-dimensional almost Anosov diffeomorphisms with respect to their Sinai–Ruelle–Bowen (SRB) measures. The degrees of the bounds are determined by the expansion and contraction rates as the orbits approach the indifferent fixed point, and are expressed by using coefficients of the third-order terms in the Taylor expansions of the diffeomorphisms at the indifferent fixed point.


2008 ◽  
pp. 77-88
Author(s):  
M. Likhachev

The article is devoted to the analysis of methodological problems in using the conception of macroeconomic equilibrium in contemporary economics. The author considers theoretical status and relevance of equilibrium conception and discusses different areas and limits of applicability of the equilibrium theory. Special attention is paid to different epistemological criteria for this theory taking into account both empirical analysis of the real stability of economic systems and the problem of unobservability of equilibrium states.


2011 ◽  
Vol 36 (12) ◽  
pp. 1720-1731 ◽  
Author(s):  
Zu-Shu LI ◽  
Yuan-Hong DAN ◽  
Xiao-Chuan ZHANG ◽  
Lin XIAO ◽  
Zhi TAN

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