Equivalent Conditions of a Hilbert-Type Multiple Integral Inequality Holding
Let ∑i=1n1/pi=1pi>1, in this paper, by using the method of weight functions and technique of real analysis; it is proved that the equivalent parameter condition for the validity of multiple integral Hilbert-type inequality ∫R+nKx1,⋯,xn∏i=1nfixi dx1⋯dxn≤M∏
Jianquan Liao, Yong Hong, Bicheng Yang
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Optimal Control of Parabolic Hemivariational Inequalities
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Migórski, Stanisław, Ochal, Anna
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Endogenous Growth, the Distribution of Wealth, and Optimal Policy under Incomplete Markets and Idiosyncratic Risk [PDF]
Clemens C, Heinemann M. Endogenous Growth, the Distribution of Wealth, and Optimal Policy under Incomplete Markets and Idiosyncratic Risk. Working Papers in Economics and Management. Vol 01-2012.
Heinemann, Maik, Clemens, Christiane
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A general formulation of time-optimal quantum control and optimality of singular protocols
We present a general theoretical framework for finding the time-optimal unitary evolution of the quantum systems when the Hamiltonian is subject to arbitrary constraints. Quantum brachistochrone (QB) is such a framework based on the variational principle,
Hiroaki Wakamura, Tatsuhiko Koike
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Optimal Concentration Inequalities for Dynamical Systems [PDF]
For dynamical systems modeled by a Young tower with exponential tails, we prove an exponential concentration inequality for all separately Lipschitz observables of n variables. When tails are polynomial, we prove polynomial concentration inequalities. Those inequalities are optimal. We give some applications of such inequalities to specific systems and
Chazottes, Jean-René +1 more
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The uniqueness of the solution for the definite problem of a parabolic variational inequality
The uniqueness of the solution for the definite problem of a parabolic variational inequality is proved. The problem comes from the study of the optimal exercise strategies for the perpetual executive stock options with unrestricted exercise in financial
Liping Song, Wanghui Yu
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UNDERSTANDING THE EVOLUTION OF INEQUALITY DURING TRANSITION: THE OPTIMAL INCOME TAXATION [PDF]
What explains the spectacular increases in inequality of disposable income in transitional economies of Central and Eastern Europe? There are at least two possible explanations. First, the pre-tax distribution of income became more unequal because of the
Tuomala, Matti, Kanbur, Ravi
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The High Cost of Gender Inequality in Earnings
This first note in the series on the cost of gender inequality focuses on the losses in national wealth due to gender inequality in earnings. There is a substantial literature on the impact of gender inequality on
de la Brière, Bénédicte +1 more
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An optimal autoconvolution inequality
AbstractLet $\mathcal {F}$ denote the set of functions $f \colon [-1/2,1/2] \to \mathbb {R}_{\geq 0}$ such that $\int f = 1$ . We determine the value of $\inf _{f \in \mathcal {F}} \| f \ast f \|_2^2$ up to a $4 \cdot 10^{-6}$ error, thereby making progress on a problem asked by Ben Green.
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Does Growing Inequality Reduce Tax Progressivity? Should It? [PDF]
This paper explores the links between two phenomena of the past two decades: striking increase in the inequality of pre-tax incomes, and the failure of tax-and-transfer progressivity to increase.
Jon Bakija, Joel Slemrod
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