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Asymptotic Hodge theory and quantum products
Convergence properties the dollar polarization hodge structure quantum potential
2014/12/29
Assuming suitable convergence properties for the Gromov-Witten potential of a Calabi-Yau manifold $X$ one may construct a polarized variation of Hodge structure over the complexified K\"ahler cone of ...
Nonclassical stochastic flows and continuous products
stochastic flows continuous products noise stability sensitivity
2009/5/18
Contrary to the classical wisdom, processes with independent values (defined properly) are much more diverse than white noises combined with Poisson point processes, and product systems are much more ...
Asymptotics for Products of Sums and U-statistics
central limit theorem lognormal distribution products of sums records U-statistics
2009/4/29
The product of subsequent partial sums of independent, identically distributed, square integrable, positive random variables is asymptotically lognormal. The result extends in a rather routine way to ...
Euler's formulae for ζ（2n） and products of Cauchy variables
Euler's formula Cauchy variables
2009/3/23
We show how to recover Euler's formula for ζ(2n), as well as Lχ4(2n+1), for any integer n, from the knowledge of the density of the product of independent standard Cauchy variables.
Perfect sampling from the limit of deterministic products of stochastic matrices
sampling limit product
2009/3/20
We illustrate how a technique from the theory of random iterations of functions can be used within the theory of products of matrices. Using this technique we give a simple proof of a basic theorem ab...
Hitting Streaks Don't Obey Your Rules：Evidence That Hitting Streaks Aren't Just By-Products of Random Variations
Hitting Streaks By-Products Random Variations
2010/3/17
Professional athletes naturally experience hot and cold streaks. However, there’s been a debate going on for some time now as to whether professional athletes experience streaks more frequently than w...