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Smale's Fundamental Theorem of Algebra reconsidered
Smale's Fundamental Theorem Algebra reconsidered Numerical Analysis Algebraic Geometry
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2012/4/17
In his 1981 Fundamental Theorem of Algebra paper Steve Smale initiated the complexity theory of finding a solution of polynomial equations of one complex variable by a variant of Newton's method. In t...
The Fundamental Theorem of Asset Pricing, the Hedging Problem and Maximal Claims in Financial Markets with Short Sales Prohibitions
The Fundamental Theorem Asset Pricing Hedging Problem
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2011/1/4
This paper consists of two parts. In the first part, by building on the work of Jouini and Kallal in [26], Sch\"urger in [37], Frittelli in [15], Pham and Touzi in [34] and Napp in [33], we prove the ...
The Fundamental Theorem of Asset Pricing, the Hedging Problem and Maximal Claims in Financial Markets with Short Sales Prohibitions
Fundamental Theorem of Asset Pricing Hedging Problem Maximal claims Supermartingale
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2011/3/2
This paper consists of two parts. In the first part, by building on the work of Jouini
and Kallal in [26], Sch¨urger in [37], Frittelli in [15], Pham and Touzi in [34] and Napp in [33], we prove the ...
Finitely additive probabilities and the Fundamental Theorem of Asset Pricing
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2010/11/3
This work aims at a deeper understanding of the mathematical implications of the economically-sound condition of absence of arbitrages of the first kind in a financial market. In the
spirit of the Fu...