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Uniform bounds for the complementary incomplete gamma function, Preprint at http://locutus.cs.dal.ca:8088/archive/00000335
"... Abstract. We prove upper and lower bounds for the complementary incomplete gamma function Γ(a, z) with complex parameters a and z. Our bounds are refined within the circular hyperboloid of one sheet {(a, z) : z > ca − 1} with a real and z complex. Our results show that within the hyperboloid, ..."
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Abstract. We prove upper and lower bounds for the complementary incomplete gamma function Γ(a, z) with complex parameters a and z. Our bounds are refined within the circular hyperboloid of one sheet {(a, z) : z > ca − 1} with a real and z complex. Our results show that within the hyperboloid, Γ(a, z)  is of order z  a−1 e − Re(z) , and extends an upper estimate of Natalini and Palumbo to complex values of z.
PassThrough and Demand Forms ∗
, 2012
"... Under imperfect competition the curvature of demand is central to the rate of cost passthrough and thus to incidence and other questions of economic interest. We show that standard functional forms for demand severely and often unrealistically restrict the behavior of passthrough rates. We propose ..."
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Under imperfect competition the curvature of demand is central to the rate of cost passthrough and thus to incidence and other questions of economic interest. We show that standard functional forms for demand severely and often unrealistically restrict the behavior of passthrough rates. We propose an Adjustable passthrough (Apt) class of demand functions that avoids these restrictions while yielding closedform solutions to standard models. To illustrate the utility of this generalized demand form we show how to embed it in monopolistic competition. This allows us to apply it to canonical international trade models with heterogeneous firms and provide a natural case in which standard results on the competitive effects of international trade reverse. Incidence (viz. the division between consumers and firms of gains from trade and losses from taxation of that trade) plays a central role in much economic analysis. As we show in Weyl and Fabinger (2012), it is pivotal in, among other things, the behavior of supply chains, the design of optimal procurement mechanisms and the optimal taxation of international commerce. While under perfect competition the passthrough rate is entirely determined by
The International Journal on Advances in Networks and Services is published by IARIA. ISSN: 19422644
"... Responsibility for the contents rests upon the authors and not upon IARIA, nor on IARIA volunteers, staff, or contractors. IARIA is the owner of the publication and of editorial aspects. IARIA reserves the right to update the content for quality improvements. Abstracting is permitted with credit to ..."
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Responsibility for the contents rests upon the authors and not upon IARIA, nor on IARIA volunteers, staff, or contractors. IARIA is the owner of the publication and of editorial aspects. IARIA reserves the right to update the content for quality improvements. Abstracting is permitted with credit to the source. Libraries are permitted to photocopy or print, providing the reference is mentioned and that the resulting material is made available at no cost. Reference should mention: International Journal on Advances in Networks and Services, issn 19422644 vol. 5, no. 1 & 2, year 2012,
Performance and Design Guidelines for PPETP, a PeertoPeer Overlay Multicast Protocol for Multimedia Streaming
"... Abstract—One major issue in multimedia streaming over the Internet is the large bandwidth that is required to serve good quality content to a large audience. In this paper we describe PPETP, a peertopeer protocol for efficient multimedia streaming to large user communities. The performance of the ..."
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Abstract—One major issue in multimedia streaming over the Internet is the large bandwidth that is required to serve good quality content to a large audience. In this paper we describe PPETP, a peertopeer protocol for efficient multimedia streaming to large user communities. The performance of the protocol (such as the robustness of the protocol with respect to packet losses and churn) are quantitatively analyzed and guidelines for designing peertopeer streaming systems based on the described protocol are given. KeywordsData transmission; multimedia streaming; overlay multicast; peertopeer network; push networks I.
Standard Security Does Imply Security Against Selective Opening for Markov Distributions
"... About three decades ago it was realized that implementing private channels between parties which can be adaptively corrupted requires an encryption scheme that is secure against selective opening attacks. Whether standard (INDCPA) security implies security against selective opening attacks has been ..."
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About three decades ago it was realized that implementing private channels between parties which can be adaptively corrupted requires an encryption scheme that is secure against selective opening attacks. Whether standard (INDCPA) security implies security against selective opening attacks has been a major open question since. The only known reduction from selective opening to INDCPA security loses an exponential factor. A polynomial reduction is only known for the very special case where the distribution considered in the selective opening security experiment is a product distribution, i.e., the messages are sampled independently from each other. In this paper we give a reduction whose loss is quantified via the dependence graph (where message dependencies correspond to edges) of the underlying message distribution. In particular, for some concrete distributions including Markov distributions, our reduction is polynomial.
STATISTICAL PROPERTIES OF DIRECT PRODUCT SYSTEMS
"... ABSTRACT. We investigate the statistical properties of product dynamical systems. We show that the rate of decay of correlations for a direct product system is the slowest rate of decay of correlations of the individual components. We show that if the components admit a certain geometrical struct ..."
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ABSTRACT. We investigate the statistical properties of product dynamical systems. We show that the rate of decay of correlations for a direct product system is the slowest rate of decay of correlations of the individual components. We show that if the components admit a certain geometrical structure then such a structure can also be constructed for the product, from which several statistical properties can be deduced. We apply our techniques to the direct product of Lorenzlike maps, multimodal maps, piecewise C2 interval maps with critical points and singularities, Hénon maps and other systems. 1.