There are many combinatorial structures which can be regarded as complexes of certain basic
blocks. Familiar examples are involutions, finite graphs, and Stirling numbers of the first and
second kind. Generating functi ...
This thesis contains three manuscripts addressing the application of stochastic processes to the analysis and solution of partial differential equations (PDEs) in mathematical physics.
In the first manuscript, one dim ...
This thesis consists of three subsequent parts addressing the applications of stochastic
processes to the analysis and solutions of parabolic equations with discontinuous coefficients
that are of mathematical interest. ...
We consider some mathematical problems involving the asymptotic analysis
of rooted tree structures. River channel networks, patterns of electric discharge,
eletrochemical deposition and botanical trees themselves are e ...
Empirical observations have established connections between river network geometry
and various hydrophysical quantities of interest. Since rivers can be decomposed into
basic components known as links, one would like t ...
An analytical model is developed to address the question of how different disturbance
regimes affect the mean and variance of landscape carbon storage in forest ecosystems. Total landscape carbon is divided into five po ...
X-ray computed tomography is a noninvasive imaging modality capable of reconstructing exact density values of 3D objects. Computed tomography machines are deployed across the world to provide doctors with an image that ...
