• Bounds on the tail probability of u-statistics and quadratic forms 

    De la Peña, Víctor; Montgomery-Smith, Stephen, 1963- (2011-01)
    The authors announce a general tail estimate, called a decoupling inequality, for a symmetrized sum of non-linear k-correlations of n > k independent random variables.
  • Comparison of Orlicz-Lorentz spaces 

    Montgomery-Smith, Stephen, 1963- (2011-01)
    Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Mastylo, Maligranda, and Kaminska. In this paper, we consider the problem of ...
  • Contraction and decoupling inequalities for multilinear forms and u-statistics 

    De la Peña, Víctor; Montgomery-Smith, Stephen, 1963-; Szulga, Jerzy (2011-01)
    We prove decoupling inequalities for random polynomials in independent random variables with coefficients in vector space. We use various means of comparison, including rearrangement invariant norms (e.g., Orlicz and Lorentz ...
  • Decoupling inequalities for the tail probabilities of multivariate u-statistics 

    De la Peña, Víctor; Montgomery-Smith, Stephen, 1963- (2011-01)
    In this paper we present a decoupling inequality that shows that multivariate U-statistics can be studied as sums of (conditionally) independent random variables. This result has important implications in several areas of ...
  • The Distribution of Non-Commutative Rademacher Series 

    Montgomery-Smith, Stephen, 1963- (2011-02)
    We give a formula for the tail of the distribution of the non-commutative Rademacher series, which generalizes the result that is already available in the commutative case. As a result, we are able to calculate the norm ...
  • Evolutionary semigroups and Lyapunov theorems in Banach spaces 

    Latushkin, Yuri, 1956-; Montgomery-Smith, Stephen, 1963- (2011-01)
    We study evolutionary semigroups generated by a strongly continuous semi-cocycle over a locally compact metric space acting on Banach fibers. This setting simultaneously covers evolutionary semigroups arising from ...
  • The Gaussian cotype of operators from C(K) 

    Montgomery-Smith, Stephen, 1963- (2011-01)
    We show that the canonical embedding C(K) to LΦ(μ) has Gaussian cotype p, where μ is a Radon probability measure on K, and Φ is an Orlicz function equivalent to tp(log t)p/2 for large t.
  • Orlicz-Lorentz Spaces 

    Montgomery-Smith, Stephen, 1963- (2011-02)
    The purpose of this article is to summerize some recent results of the author about Orlicz-Lorentz spaces - function spaces that provide a common generalization of Orlicz spaces and Lorentz spaces.
  • The spectrum of the kinematic dynamo operator for an ideally conducting fluid 

    Montgomery-Smith, Stephen, 1963-; Chicone, Carmen Charles; Latushkin, Yuri, 1956- (2011-01)
    The spectrum of the kinematic dynamo operator for an ideally conducting fluid and the spectrum of the corresponding group acting in the space of continuous divergence free vector fields on a compact Riemannian manifold ...