<p>Amazonia contains the largest remaining tracts of undisturbed tropical forest on earth, and is thus critical to international nature conservation and carbon sequestration efforts. Amazonian forests are notoriously ...
A number of important theorems have been developed regarding the qualitative properties that input-output and related economic models must possess in order to be viable. That a number of apparently different notions of ...
We study the geometrical frustration scenario of glass formation for simple hard-sphere models. We find that the dual picture in terms of defects brings little insight and no theoretical simplification for the understanding ...
We analytically and numerically characterize the structure of hard-sphere fluids in order to review various geometrical frustration scenarios of the glass transition. We find generalized polytetrahedral order to be correlated ...
The smallest maximum-kissing-number Voronoi polyhedron of three-dimensional (3D) Euclidean spheres is the icosahedron, and the tetrahedron is the smallest volume that can show up in Delaunay tessellation. No periodic lattice ...
<p>In an environment such as a cell, the three-dimensional structure of a protein entirely determines its function. Hence, to understand the mechanics of biochemical processes necessary to sustain life, it is crucial to ...
We formulate a novel approach to infer conditional independence models or Markov structure of a multivariate distribution. Specifically, our objective is to place informative prior distributions over graphs (decomposable ...
<p>Large scale geometric data is ubiquitous. In this dissertation, we design algorithms and data structures to process large scale geometric data efficiently. We design algorithms for some fundamental geometric optimization ...
<p>Entering the era of big data, human beings are faced with an unprecedented amount of geometric data today. Many computational challenges arise in processing the new deluge of geometric data. A critical one is data ...
We consider a simple model for the fluctuating hydrodynamics of a flexible polymer in a dilute solution, demonstrating geometric ergodicity for a pair of particles that interact with each other through a nonlinear spring ...
<p>This thesis explores a few geometric optimization problems that arise</p><p>in robotics and sensor networks. In particular we present efficient</p><p>algorithms for the hitting-set problem and the budgeted hitting-set ...
<p>Cancer is a complex, multifaceted disease that operates through dynamic changes in the genome. Cancer is best understood through the process that generates it -- random mutations operated on by natural selection -- and ...
<p>Gravitational lensing is the study of the bending of light by gravity. In such a scenario, light rays from a background star are deflected as they pass by a foreground galaxy (the lens). If the lens is massive enough, ...
My project, using both geometrical and statistical methods, nds an appropriate way of determining distances between scales, calculated using appropriate metrics, in the context of impressionist music.
<p>I study differential geometry of 6-manifolds endowed with various $SU(3)$ structures from three perspectives. The first is special Lagrangian geometry; The second is pseudo-Hermitian-Yang-Mills connections or more ...
<p>How did Georges Sorel's philosophy of violence emerge from the moderate, reformist, and liberal philosophy of the French Third Republic? This dissertation answers the question through a contextual intellectual history ...