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950,598
Symmetry and Related Properties via the Maximum Principle
, 1979
"... We prove symmetry, and some related properties, of positive solutions of second order elliptic equations. Our methods employ various forms of the maximum principle, and a device of moving parallel planes to a critical position, and then showing that the solution is symmetric about the limiting plan ..."
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Cited by 536 (4 self)
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We prove symmetry, and some related properties, of positive solutions of second order elliptic equations. Our methods employ various forms of the maximum principle, and a device of moving parallel planes to a critical position, and then showing that the solution is symmetric about the limiting
KodairaSpencer theory of gravity and exact results for quantum string amplitudes
 Commun. Math. Phys
, 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
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Cited by 540 (59 self)
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We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a
Convex Analysis
, 1970
"... In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a lo ..."
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Cited by 5396 (68 self)
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progressed also to the study of socalled stationary points, critical points, and other indications of singularity that a point might have relative to its neighbors, especially in association with existence theorems for differential equations.
Analytic representation of critical equations of state
, 2014
"... Abstract. We propose a new form for equations of state (EOS) of thermodynamic systems in the Ising universality class. The new EOS guarantees the correct universality and scaling behavior close to critical points and is formulated in terms of the scaling fields only – unlike the traditional Schofiel ..."
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Abstract. We propose a new form for equations of state (EOS) of thermodynamic systems in the Ising universality class. The new EOS guarantees the correct universality and scaling behavior close to critical points and is formulated in terms of the scaling fields only – unlike the traditional
A Fluidbased Analysis of a Network of AQM Routers Supporting TCP Flows with an Application to RED
 Proc. SIGCOMM 2000
, 2000
"... In this paper we use jump process driven Stochastic Differential Equations to model the interactions of a set of TCP flows and Active Queue Management routers in a network setting. We show how the SDEs can be transformed into a set of Ordinary Differential Equations which can be easily solved numeri ..."
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Cited by 416 (21 self)
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In this paper we use jump process driven Stochastic Differential Equations to model the interactions of a set of TCP flows and Active Queue Management routers in a network setting. We show how the SDEs can be transformed into a set of Ordinary Differential Equations which can be easily solved
Critical equation of state from the average action
, 1995
"... The scaling form of the critical equation of state is computed for O(N)symmetric models. We employ a method based on an exact flow equation for a coarse grained free energy. A suitable truncation is solved numerically. 1 A precise computation of the critical equation of state near a second order ph ..."
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The scaling form of the critical equation of state is computed for O(N)symmetric models. We employ a method based on an exact flow equation for a coarse grained free energy. A suitable truncation is solved numerically. 1 A precise computation of the critical equation of state near a second order
Existence of solution to a critical equation with variable exponent
"...
In this paper we study the existence problem for the p(x)−Laplacian operator with a nonlinear critical source. We find a local condition on the exponents ensuring the existence of a nontrivial solution that shows that the Pohozaev obstruction does not holds in general in the variable exponent sett ..."
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Cited by 6 (4 self)
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In this paper we study the existence problem for the p(x)−Laplacian operator with a nonlinear critical source. We find a local condition on the exponents ensuring the existence of a nontrivial solution that shows that the Pohozaev obstruction does not holds in general in the variable exponent
The log of Gravity
 THE REVIEW OF ECONOMICS AND STATISTICS
, 2005
"... Although economists have long been aware of Jensen's inequality, many econometric applications have neglected an important implication of it: the standard practice of interpreting the parameters of loglinearized models estimated by ordinary least squares as elasticities can be highly misleadin ..."
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Cited by 333 (6 self)
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misleading in the presence of heteroskedasticity. This paper explains why this problem arises and proposes an appropriate estimator. Our criticism to conventional practices and the solution we propose extends to a broad range of economic applications where the equation under study is loglinearized. We
Universal Critical Equation of State and the Chiral Phase Transition in QCD
, 1997
"... We employ non–perturbative flow equations to compute the equation of state for two flavor QCD within an effective quark meson model. This yields the temperature and quark mass dependence of quantities like the chiral condensate or the pion mass. Our treatment covers both the chiral perturbation theo ..."
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correlation length near Tc turns out to be smaller than its zero temperature value. In the vicinity of Tc and zero quark mass we obtain a precision estimate of the universal critical equation of state. It belongs to the universality class of the three dimensional O(4) symmetric Heisenberg model. We also
Results 1  10
of
950,598