31,754 research outputs found
Self-intersection local time: Critical exponent, large deviations, and laws of the iterated logarithm
If \beta_t is renormalized self-intersection local time for planar Brownian
motion, we characterize when Ee^{\gamma\beta_1} is finite or infinite in terms
of the best constant of a Gagliardo-Nirenberg inequality. We prove large
deviation estimates for \beta_1 and -\beta_1. We establish lim sup and lim inf
laws of the iterated logarithm for \beta_t as t\to\infty.Comment: Published at http://dx.doi.org/10.1214/009117904000000504 in the
Annals of Probability (http://www.imstat.org/aop/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Approximation formulas for the constant <i>e</i> and an improvement to a Carleman-type inequality
Firm Value, Cross-Listing Premium and the Sarbanes-Oxley Act
This paper presents empirical evidence on the effects of the Sarbanes-Oxley Act of 2002 on the value of firms and on the cross-listing choice of firms destined to three major markets in North America, Asia and Europe. We use dynamic panel data methods and treatment effects methods to find that Sarbanes-Oxley has had a negative impact on the value of firms worldwide. However, the effect of Sox on the cross-listing decision is positive in the US destination and negative in the Germany destination; and the Hong Kong destination seems to attract cross-listing of firms with lower valuations relative to the US and Germany destination. In terms of the cross-listing decision, the evidence is in favor of crowding in the market where the accounting standards are better, lending support to the signaling and bonding hypotheses of cross-listing choice.Cross-listing, Sarbanes-Oxley, dynamic panel data, treatment effects.
Inequalities and asymptotic expansions related to the volume of the unit ball in R<sup>n</sup>
Let Ωn=Ïn/2/Î(n2+1)(nâN)Ωn=Ïn/2/Î(n2+1)(nâN) denote the volume of the unit ball in RnRn. In this paper, we present asymptotic expansions and inequalities related to ΩnΩn and the quantities:Ωnâ1Ωn,ΩnΩnâ1+Ωn+1andΩ1/nnΩ1/(n+1)n+1
On the asymptotics of products related to generalizations of the Wilf and Mortini problems
In this paper, we present the connection between generalized Wilfâsand Mortiniâs problems. We also consider the connection betweenanother infinite product formula and limit relation with severalparameters
Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function
In this paper, we present some completely monotonic functions and asymptotic expansions related to the gamma function. Based on the obtained expansions, we provide new bounds for Î(x + 1)/Î(x + 1/2) and Î(x + 1/2)
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