349,946 research outputs found

    The symbolic consumption of cultural quarters

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    Properties of solutions of stochastic differential equations driven by the G-Brownian motion

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    In this paper, we study the differentiability of solutions of stochastic differential equations driven by the GG-Brownian motion with respect to the initial data and the parameter. In addition, the stability of solutions of stochastic differential equations driven by the GG-Brownian motion is obtained

    On Frankl and Furedi's conjecture for 3-uniform hypergraphs

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    The Lagrangian of a hypergraph has been a useful tool in hypergraph extremal problems. In most applications, we need an upper bound for the Lagrangian of a hypergraph. Frankl and Furedi in \cite{FF} conjectured that the rr-graph with mm edges formed by taking the first mm sets in the colex ordering of N(r){\mathbb N}^{(r)} has the largest Lagrangian of all rr-graphs with mm edges. In this paper, we give some partial results for this conjecture.Comment: 19 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1211.650

    Local time and Tanaka formula for G-Brownian Motion

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    In this paper, we study the notion of local time and Tanaka formula for the G-Brownian motion. Moreover, the joint continuity of the local time of the G-Brownian motion is obtained and its quadratic variation is proven. As an application, we generalize It^o's formula with respect to the G-Brownian motion to convex functions.Comment: 29 pages, "Finance and Insurance-Stochastic Analysis and Practical Methods", Jena, March 06,200
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