Search
Skip to Search Results 6Frei, Christoph (Mathematical and Statistical Sciences)
 6Han, Bin (Mathematical and Statistical Sciences)
 6Kong, Linglong (Mathematical and Statistical Sciences)
 6Lewis, Mark (Mathematical and Statistical Sciences)
 6Mizera, Ivan (Mathematical and Statistical Sciences)
 5Hillen, Thomas (Mathematical and Statistical Sciences)

Representability of Algebraic CHOW Groups of Complex Projective Complete Intersections and Applications to Motives
DownloadSpring 2011
In 1990 James D. Lewis made a conjecture on the representability of algebraic Chow groups of projective algebraic manifolds. We prove that his conjecture holds for smooth complex complete intersections satisfying a numerical condition and consider some applications to motives.

Fall 2013
This thesis deals with the problem proposed by Ye and Zhou (2007): Is a Qoptimal minimax design still symmetric if the requirement of $\int_\chi xm(x)dx = 0$ is removed? We have shown that for the simple linear regression, considering only the variance, a Qoptimal minimax design is necessarily...

Spring 2020
Invasive species and infectious diseases cause significant ecological and economic harm all over the world. Therefore, substantial effort is made across the globe to prevent the spread and decrease the impact of biological invasions and epidemicsby implementing early detection and rapid response...

Fall 2016
The thesis consists of two closely related parts: (i) Cesaro summability of the spherical hharmonic expansions on the unit sphere, and (ii) BochnerRiesz summability of the inverse Dunkl transforms on ddimensional real space, both being studied with respect to the weight that is invariant under...

Spring 2012
The topic of the thesis is an overview of some sequential and changepoint detection methods with applications to clinical trials. Performing sequential monitoring is important for ethical, economical and other reasons. It is important to terminate a study as soon as possible when potentially...

Fall 2020
The main goal of this work is the development of allspeed numerical methods for the compressible NavierStokes equations, i.e. methods that remain efficient in incompressible, weakly compressible, and compressible regimes. To achieve this goal we propose algorithms based on the direction...

Outer Products and Stochastic Approximation Algorithms in a Heavytailed and Longrange Dependent Setting
DownloadFall 2015
Classical timeseries theories are mainly concerned with the statistical analysis of lighttailed and shortrange dependent stationary linear processes. Applications in network theory and financial mathematics lead us to consider time series models with heavy tails and long memory. Heavytailed...

Relationships between network connectivity and global dynamics of complex dynamical systems
DownloadSpring 2016
The global dynamics of complex systems is investigated in this thesis, using the framework of coupled dynamical systems. For a coupled dynamical system on an interaction network, we show the impact of the connectivity of the interaction network on its dynamical behavior. We lay particular...