Physical Sciences and Mathematics Commons^™

Hořava Gravity: Symmetries And Generalized Particle Dynamics, Dario Capasso

Dissertations, Theses, and Capstone Projects

In the search for a theory of Quantum Gravity a new proposal was recently made by P. Hořava. The main feature of this new proposed theory is that it is power-counting renormalizable by construction, and could prove to be truly renormalizable, although more work is needed in this direction.

The renormalizability of the theory is a central issue. Indeed, General Relativity does not have this property, implying that to construct its quantum version we need to “complete” the theory in the UV. Hořava suggested a possible way to provide a UV completion of GR by giving up full spacetime reparametrization …

Phosphorus Transport In The Bronx River: Qualitative And Quantitative Analysis, Jingyu Wang

Dissertations, Theses, and Capstone Projects

Phosphorus (P) is the primary limiting nutrient for algal growth in freshwater systems. Excessive P from external inputs and release from sediments could accelerate primary productivity leading to eutrophication in the water column, and consequently degrading water quality. The objectives of this study were to predict P bioavailability and estimate spatial and temporal variations in P transport in the Bronx River, New York, USA. The Bronx River originates from the Westchester Davis Brook and Kensico Dam, flowing south through Westchester County (WC) and Bronx to the estuary area where it joins the East River. The total length is about 20 …

Holomorphic Motions And Extremal Annuli, Zhe Wang

Dissertations, Theses, and Capstone Projects

Holomorphic motions, soon after they were introduced, became an important subject in complex analysis. It is now an important tool in the study of complex dynamical systems and in the study of Teichmuller theory. This thesis serves on two purposes: an expository of the past developments and a discovery of new theories.

First, I give an expository account of Slodkowski's theorem based on the proof given by Chirka. Then I present a result about infinitesimal holomorphic motions. I prove the |ε log ε| modulus of continuity for any infinitesimal holomorphic motion. This proof is a very well application of Schwarz's …