Now showing items 21-23 of 23

  • Random Walks on Finite Fields and Heisenberg Groups 

    Zhu, Yi (East Carolina University, 2011)
    Let H be a finite group and [mu] a probability measure on H. This data determines an invariant random walk on H beginning from the identity element. The probability distribution for the state of the random walk after n ...
  • ESTIMATION OF THE PROBABILITY A BROWNIAN BRIDGE CROSSES A CONCAVE BOUNDARY 

    Yang, Fan (East Carolina University, 2010)
    This thesis studies a new method to estimate the probability that a Brownian bridge crosses a concave boundary. We show that a Brownian bridge crosses a concave boundary if and only if its least concave majorant crosses ...
  • A PRIMER FOR THE FOUNDATIONS OF ALGEBRAIC GEOMETRY 

    Hampton, Earl F. (East Carolina University, 2010)
    The purpose of this thesis is to define the basic objects of study in algebraic geometry, namely, schemes and quasicoherent sheaves over schemes. We start by discussing algebraic sets as common zeros of polynomials and ...