12,520 research outputs found
China’s Local Government Debt and Economic Growth
This paper explores the impact of China’s local government debt on economic growth. This analysis, based on a panel of 31 provinces over 14 years, takes into account a broad range of economic growth determinants as well as various estimation issues including heteroskedascity and omitted variable. The empirical results suggest an inverse relationship between China’s local government debt and economic growth, controlling for other determinants of growth: on average, a 10 percentage point increase in the debt-to-GDP ratio is associated with a slowdown in annual real per capita GDP growth of around 0.27 percentage points per year
Surjective endomorphisms of projective surfaces -- the existence of infinitely many dense orbits
Let be a surjective endomorphism of a normal projective
surface. When , applying an (iteration of)
-equivariant minimal model program (EMMP), we determine the geometric
structure of . Using this, we extend the second author's result to singular
surfaces to the extent that either has an -invariant non-constant
rational function, or has infinitely many Zariski-dense forward orbits;
this result is also extended to Adelic topology (which is finer than Zariski
topology)
Dynamics of generalized tachyon field
We investigate the dynamics of generalized tachyon field in FRW spacetime. We
obtain the autonomous dynamical system for the general case. Because the
general autonomous dynamical system cannot be solved analytically, we discuss
two cases in detail: and . We find the critical points and
study their stability. At these critical points, we also consider the stability
of the generalized tachyon field, which is as important as the stability of
critical points. The possible final states of the universe are discussed.Comment: 9 pages, 5 figures, published versio
Apparent horizon and gravitational thermodynamics of Universe in the Eddington-Born-Infeld theory
The thermodynamics of Universe in the Eddington-Born-Infeld (EBI) theory was
restudied by utilizing the holographic-style gravitational equations that
dominate the dynamics of the cosmical apparent horizon and the
evolution of Universe. We started in rewriting the EBI action of the Palatini
approach into the Bigravity-type action with an extra metric . With
the help of the holographic-style dynamical equations, we discussed the
property of the cosmical apparent horizon including timelike,
spacelike and null characters, which depends on the value of the parameter of
state in EBI Universe. The unified first law for the gravitational
thermodynamics and the total energy differential for the open system enveloped
by in EBI Universe were obtained. Finally, applying the
positive-heat-out sign convention, we derived the generalized second law of
gravitational thermodynamics in EBI universe.Comment: 23 pages, 0 figure
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