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Estimation and Analysis of Atmospheric Vortices
(2013)
ESTIMATION AND ANALYSIS OF ATMOSPHERIC VORTICES
Geodesic fibrations of elliptic 3-manifolds
(2013)
The well-known Hopf fibration of S3 is interesting in part because its fibers are geodesics, or great circles, of S3. However, this is not the only great circle fibration of S3. In 1983, Herman Gluck and Frank Warner ...
Stability of Solitary Waves for Some Schrodinger-KdV Systems
(2013)
This dissertation addresses existence and stability results for a two-parameter family of solitary-wave solutions to systems in which an equation of nonlinear Schrodinger type is coupled to an equation of Korteweg-de Vries ...
NORMAL TORI IN #_n(S2xS1) AND THE DEHN TWIST AUTOMORPHISMS OF THE FREE GROUP
(2013)
The 3-dimensional space which renders a Out(F_n) action is M = #_n(S2x S1). The relation between M and Out(F_n) is that the latter is isomorphic to the mapping class group of M up to rotations about 2-spheres in M.
NORMAL TORI IN #_n(S2xS1) AND THE DEHN TWIST AUTOMORPHISMS OF THE FREE GROUP
(2013)
The 3-dimensional space which renders a Out(F_n) action is M = #_n(S2x S1). The relation between M and Out(F_n) is that the latter is isomorphic to the mapping class group of M up to rotations about 2-spheres in M.
Specral Theory of Canonical Systems
(2013)
The main purpose of this dissertation is to give an alternate proof of de Branges' theorem on canonical systems and to prove Remling's theorem on canonical systems.
Stability of Solitary Waves for Some Schrodinger-KdV Systems
(2013)
This dissertation addresses existence and stability results for a two-parameter family of solitary-wave solutions to systems in which an equation of nonlinear Schrodinger type is coupled to an equation of Korteweg-de Vries ...
Intersection Numbers in a Hyperbolic Surface
(2013)
For a compact surface $S$ with constant negative curvature $-\kappa$ (for some $\kappa>0$) and genus $\mathfrak g\geq2$, we show that the tails of the distribution of $i(\alpha,\beta)/l(\alpha)l(\beta)$ (where $i(\alpha,\beta)$ ...