Best Simultaneously Diophantine Approximations. I. Growth Rates of Best Approximation Denominators

1982 ◽  
Vol 272 (2) ◽  
pp. 545 ◽  
Author(s):  
J. C. Lagarias
Keyword(s):  
Growth Rates ◽  
Best Approximation ◽  
Diophantine Approximations

scholarly journals Best Diophantine approximations to a set of linear forms

1983 ◽  
Vol 34 (1) ◽  
pp. 114-122 ◽  
Author(s):  
J. C. Lagarias
Keyword(s):  
Diophantine Approximation ◽  
Linear Form ◽  
Best Approximation ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Linear Forms ◽  
Simultaneous Diophantine Approximation ◽  
Diophantine Approximations ◽  
Necessary And Sufficient ◽  
Infinite Set

AbstractWe define the notion of a best Diophantine approximation vector to a set of linear forms. This generalizes definitions of a best approximation vector to a single linear form and of a best simultaneous Diophantine approximation vector. We derive necessary and sufficient conditions for the existence of an infinite set of best Diophantine approximation vectors. Finally, we prove that such approximation vectors are spaced far apart in an appropriate sense.

Reduced growth rates of hair in mice following radiation

1966 ◽  
Vol 94 (4) ◽  
pp. 491-498 ◽  
Author(s):  
F. D. Malkinson
Keyword(s):  
Growth Rates

Institutional Theory of Endless Redistribution

2005 ◽  
pp. 4-18 ◽  
Author(s):  
K. Sonin
Keyword(s):  
Property Rights ◽  
Institutional Theory ◽  
Growth Rates ◽  
Rent Seeking ◽  
Economic Institutions ◽  
Wide Spread ◽  
Grass Roots ◽  
Protection Systems ◽  
Private Protection ◽  
The Rich

In unequal societies, the rich may benefit from shaping economic institutions in their favor. This paper analyzes the dynamics of institutional subversion by focusing on public protection of property rights. If this institution functions imperfectly, agents have incentives to invest in private protection of property rights. The ability to maintain private protection systems makes the rich natural opponents of public protection of property rights and precludes grass-roots demand to drive the development of the market-friendly institution. The economy becomes stuck in a bad equilibrium with low growth rates, high inequality of income, and wide-spread rent-seeking. The Russian oligarchs of the 1990s, who controlled large stakes of newly privatized property, provide motivation for this paper.

Waiting for a New Model of Growth: Russia’s Social and Economic Development in 2013

2014 ◽  
pp. 4-32 ◽  
Author(s):  
V. Mau
Keyword(s):  
Economic Policy ◽  
Economic Development ◽  
Economic Performance ◽  
Growth Rates ◽  
Global Crisis ◽  
New Model ◽  
Social And Economic Development ◽  
Economic Risks

The paper deals with Russian social and economic development in 2013 and prospects for the next year or two. The author discusses the logic and trends of the global crisis started in 2008. This is the basis for further analysis of current Russian economic performance with special emphasis on the problem of growth rates deceleration. Special attention is paid to economic risks and priorities of economic policy.

Impacts of Paris Agreement on Russian economy

2018 ◽  
pp. 76-94 ◽  
Author(s):  
I. A. Makarov ◽  
C. Henry ◽  
V. P. Sergey
Keyword(s):  
Climate Change ◽  
Economic Policy ◽  
Growth Rates ◽  
Paris Agreement ◽  
Gdp Growth ◽  
Russian Economy ◽  
Climate Policies

The paper applies multiregional CGE Economic Policy Projection and Analysis (EPPA) model to analyze major risks the Paris Agreement on climate change adopted in 2015 brings to Russia. The authors come to the conclusion that if parties of the Agreement meet their targets that were set for 2030 it may lead to the decrease of average annual GDP growth rates by 0.2-0.3 p. p. Stricter climate policies beyond this year would bring GDP growth rates reduction in2035-2050 by additional 0.5 p. p. If Russia doesn’t ratify Paris Agreement, these losses may increase. In order to mitigate these risks, diversification of Russian economy is required.

The Reproduction Vector of the Russian Economy: 1999-2007

2008 ◽  
pp. 94-109 ◽  
Author(s):  
D. Sorokin
Keyword(s):  
Economic Policy ◽  
Human Capital ◽  
Growth Rates ◽  
Developed Countries ◽  
Gdp Per Capita ◽  
Real Sector ◽  
Russian Economy ◽  
Per Capita ◽  
The Developed Countries

The problem of the Russian economy’s growth rates is considered in the article in the context of Russia’s backwardness regarding GDP per capita in comparison with the developed countries. The author stresses the urgency of modernization of the real sector of the economy and the recovery of the country’s human capital. For reaching these goals short- or mid-term programs are not sufficient. Economic policy needs a long-term (15-20 years) strategy, otherwise Russia will be condemned to economic inertia and multiplying structural disproportions.

A view at the Russian economic transformation

2018 ◽  
pp. 142-158 ◽  
Author(s):  
E. F. Baranov ◽  
V. A. Bessonov
Keyword(s):  
Market Economy ◽  
Growth Rates ◽  
Transition Process ◽  
Well Being ◽  
Economic Transformation ◽  
High Rate ◽  
Russian Economy ◽  
Stage Of Development ◽  
Qualitative Level ◽  
Rate Of Recovery

The transition of the Russian economy from plan to market is considered at a qualitative level. The analysis of economic dynamics in the transformation paradigm is conducted. The main stages of the transition process are discussed. Bonuses and costs due to the transition to market economy are considered. The reasons for the outstripping growth of well-being as compared to the growth of output are discussed. The signs of exhaustion of the potential of factors ensuring an abnormally high rate of recovery and accompanying welfare growth are discussed. The conclusion is made that the transformational recovery has been completed. The Russian economy has moved to the stage of development with relatively low growth rates of output and welfare, typical for stable (nontransition) economies.

Economic Growth and Macro Variables in India: An Empirical Study

2015 ◽  
pp. 42-59
Author(s):  
Saba Ismail ◽  
Shahid Ahmed
Keyword(s):  
Economic Growth ◽  
Growth Rates ◽  
Trade Openness ◽  
Capital Formation ◽  
Gdp Growth ◽  
Fdi Inflows ◽  
Domestic Capital ◽  
The Government ◽  
Macro Variables ◽  
Determinants Of Economic Growth

The research objective of this paper is to explore the empirical linkages between economic growth and foreign direct investment (FDI), gross fixed capital formation (GFCF) and trade openness in India (TOP) over the period 1980 to 2013. The study reveals a positive relationship between economic growth and FDI, GFCF and TOP. This study establishes a strong unidirectional causal flow from changes in FDI, trade openness and capital formation to the economic growth rates of India. The impulse response function traces the positive influence of these macro variables on the GDP growth rates of India. The study also reveals that the volatility of GDP growth rates in India is mainly attributed to the variation in the level of GFCF and FDI. The study concludes that the FDI inflows and the size of capital formation are the main determinants of economic growth. In view of this, it is expected that the government of India should provide more policy focus on promoting FDI inflows and domestic capital formations to increase its economic growth in the long-term.

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