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Lie symmetry analysis and exact solutions for a variable coefficient Gardner equation arising in arterial mechanics
Lie symmetry analysis arterial mechanics coefficient Gardner equation
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2010/4/2
In this paper, a variable-coefficient Gardner equation is considered. By using the classical symmetry analysis method symmetries for this equation are obtained. Then, the generalized Jacobi elliptic f...
Risk assessment for uncertain cash flows: Model ambiguity, discounting ambiguity, and the role of bubbles
uncertain cash flows Model ambiguity discounting ambiguity
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2010/4/27
We study the risk assessment of uncertain cash flows in terms of dynamic convex risk measures for processes as introduced in Cheridito, Delbaen, and Kupper (2006). These risk measures take into accoun...
Some Proofs on Statistical Magnitudes for Continuous Phenomena
Statistical Magnitudes Continuous Phenomena
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2010/4/2
In this work, the proofs concerning the continuity of the disequilibrium, Shannon information and statistical complexity in the space of distributions are presented. Also, some results on the existenc...
Connecting period-doubling cascades to chaos
chaotic behavior period-doubling cascades
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2010/4/2
The appearance of infinitely-many period-doubling cascades is one of the most prominent features observed in the study of maps depending on a parameter. They are associated with chaotic behavior, sinc...
On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial data
zero-dispersion limit initial data Benjamin-Ono Cauchy
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2010/4/2
We study the Cauchy initial-value problem for the Benjamin-Ono equation in the zero-disperion limit, and we establish the existence of this limit in a certain weak sense by developing an appropriate a...
Free Lunch
Free Lunch pillars financial markets
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2010/4/27
The concept of absence of opportunities for free lunches is one of the pillars in the economic theory of financial markets. This natural assumption has proved very fruitful and has lead to great mathe...
Arbitrage strategy
Arbitrage strategy financial agent zero initial investment
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2010/4/27
An arbitrage strategy allows a financial agent to make certain profit out of nothing, i.e., out of zero initial investment. This has to be disallowed on economic basis if the market is in equilibrium ...
Scale invariant properties of public debt growth
Scale invariant properties public debt growth
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2010/4/27
Public debt is one of the important economic variables that quantitatively describes a nation's economy. Because bankruptcy is a risk faced even by institutions as large as governments (e.g. Iceland),...
Stability and chaos in coupled two-dimensional maps on Gene Regulatory Network of bacterium E.Coli
two-dimensional maps complex networks bacterium E.Coli
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2010/4/2
The collective dynamics of coupled two-dimensional chaotic maps on complex networks is known to exhibit a rich variety of emergent properties which crucially depend on the underlying network topology....
Markets are efficient if and only if P = NP
weak-form efficient past prices P = NP
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2010/4/27
I prove that if markets are weak-form efficient, meaning current prices fully reflect all information available in past prices, then P = NP, meaning every computational problem whose solution can be v...
What is Fair Pay for Executives? An Information Theoretic Analysis of Wage Distributions
income and wage distributions wealth distribution maximum entropy economic equilibrium information theory statistical mechanics CEO pay executive compensation fair pay justice income inequality econophysics
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2010/4/27
The high pay packages of U.S. CEOs have raised serious concerns about what would constitute a fair pay.
Reverse Engineering Financial Markets with Majority and Minority Games using Genetic Algorithms
agent-based models Genetic Algorithms
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2010/4/27
Using virtual stock markets with artificial interacting software investors, aka agent-based models (ABMs), we present a method to reverse engineer real-world financial time series. We model financial ...
Band-edge solitons, Nonlinear Schrodinger / Gross-Pitaevskii Equations and Effective Media
Band-edge solitons Nonlinear Schrodinger Gross-Pitaevskii Equations
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2010/4/2
We consider a class of nonlinear Schrodinger / Gross-Pitaevskii (NLS/GP) equations with periodic potentials, having an even symmetry. We construct "solitons", centered about any point of symmetry of t...
Supersymmetric Reciprocal Transformation
supersymmetric analog Kawamoto equation reciprocal transformation
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2010/4/2
The supersymmetric analog of the reciprocal transformation is introduced. This is used to establish a transformation between one of the supersymmetric Harry Dym equations and supersymmetric modified K...
Integrable Euler top and nonholonomic Chaplygin ball
Integrable Euler top nonholonomic Chaplygin ball
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2010/4/2
We discuss the Poisson structures, Lax matrices, $r$-matrices, bi-hamiltonian structures, the variables of separation and other attributes of the modern theory of dynamical systems in application to t...