This talks examines the effect of angular ordering on the small-x evolution of the unintegrated gluon distribution, and discusses the characteristic function for the CCFM equation, as well as some preliminary results on final-state properties.

We find a quartic example of a smooth embedded negatively curved surface in R homeomorphic to a doubly punctured torus. This constitutes an explicit solution to Hadamard’s problem on constructing complete surfaces with negative curvature and Euler characteristic in R. Further we show that our solution has the optimal degree of algebraic complexity via a topological classification for smooth cub...

We determine the complexity of the characteristic functions of a two-parameter family fA n g 1 n=1 of innnite sequences which are associated with the winning strategies for a family of 2-player games. A special case of the family has the form A n = bnnc for all n 2 Z + , where is a xed positive irrational number. The characteristic functions of such sequences have been shown to have complexity ...

In this paper, we prove a local limit theorem for the distribution of the number of triangles in the Erdos-Renyi random graph G(n, p), where p ∈ (0, 1) is a fixed constant. Our proof is based on bounding the characteristic function ψ(t) of the number of triangles, and uses several different conditioning arguments for handling different ranges of t.

In a fuzzy cooperative game the players may choose to partially participate in a coalition. A fuzzy coalition consists of a group of participating players along with their participation level. The characteristic function of a fuzzy game specifies the worth of each such coalition. This paper introduces well-known properties of classical cooperative games to the theory of fuzzy games, and studies...

We describe a unified approach to Herglotz, Bochner and BochnerMinlos theorems using a combination of Daniell integral and nonstandard analysis. The proofs suggest a natural extension of the last two theorems to the case when the characteristic function is not continuous. This extension is proven and is demonstrated to be the best one possible. The goal of this paper is to show how the classic ...

We compute (algebraically) the Euler characteristic of a complex of sheaves with constructible cohomology. A stratified Poincaré-Hopf formula is then a consequence of the smooth Poincaré-Hopf theorem and of additivity of the Euler-Poincaré characteristic with compact supports, once we have a suitable definition of index. AMS classification: 55N33 57R25

We show that a function F : F2m → C whose multiplicative Fourier coefficients are given by certain character sums, which we call Jacobi-like sums, is in fact the ±1-valued characteristic function of a difference set in F2m with Singer parameters. We show further that the difference sets arising from such functions are precisely the so-called DD difference sets constructed by the first author an...

The paper proposes a model for asset prices which is the exponential of a pure jump process with anN -state Markov switching compensator. This model extends that of Madan and Konikov. Such a process has a good chance of capturing all empirical stylized features of stock price dynamics. A closed form representation of its characteristic function is given. Option pricing is formulated in Fourier ...