J. Jimenez

  1. Estimating financial risk using piecewise Gaussian processes.

    Authors: J. Jimenez, I. Garcia
    Subjects: Risk Management
    Abstract

    We present a computational method for measuring financial risk by estimating
    the Value at Risk and Expected Shortfall from financial series. We have made
    two assumptions: First, that the predictive distributions of the values of an
    asset are conditioned by information on the way in which the variable evolves
    from similar conditions, and secondly, that the underlying random processes can
    be described using piecewise Gaussian processes.

  2. Cropping Euler factors of modular L-functions.

    Authors: J. Gonzalez, J. Jimenez, J.-C. Lario
    Subjects: Number Theory
    Abstract

    According to the Birch and Swinnerton-Dyer conjectures, if A/Q is an abelian
    variety then its L-function must capture substantial part of the arithmetic
    properties of A. The smallest number field L where A has all its endomorphisms
    defined must also have a role. This article deals with the relationship between
    these two objects in the specific case of modular abelian varieties A_f/Q
    associated to weight 2 newforms for the modular group Gamma_1(N).

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