## Search

Now showing items 31-40 of 75

#### The Vietoris-Rips Complexes of Finite Subsets of an Ellipse of Small Eccentricity

(2017-05-03)

For X a metric space and r > 0 a scale parameter, the Vietoris–Rips complex VR<(X;
r) (resp. VR≤(X; r)) has X as its vertex set and has a finite σ ⊆ X as a simplex whenever
the diameter of σ is less than r (resp. at most ...

#### Complex-Balanced Steady States of Chemical Reaction Networks that Contain an Eulerian Cycle

(2012-04-25)

This work pertains to chemical reaction networks and their equilibria, called
steady-states. Our main result states that for a cyclic chemical reaction net-
work, there is a straightforward characterization for when a ...

#### Do Medical Malpractice Reforms Affect Health Care Costs and Outcomes?

(2009-04-15)

The impact of medical malpractice reforms on the cost and quality of health care is
of
great interest to policy makers. This study examines national data on malpractice
reforms
implemented and health care provided to Medicare ...

#### Complex Multiplication on Elliptic Curves

(2014-12-24)

We describe the theory of complex multiplication on elliptic curves as it pertains
to constructing abelian extensions of imaginary quadratic fields. We also briefly
explore how one may construct abelian extensions of real ...

#### Efficient Partition Function Estimation in Computational Protein Design: Probabalistic Guarantees and Characterization of a Novel Algorithm

(2015-05-07)

By computational protein design we mean the use of computer algorithms to design new
proteins or redesign existing ones. A significant challenge in this field involves
computing the partition function of the ensemble of ...

#### Multiscale Estimation of Intrinsic Dimensionality of Point Cloud Data and Multiscale Analysis of Dynamic Graphs

(2010-04-30)

In the first part of the thesis, we study the problem of estimating the intrinsic
dimension of point cloud data sampled from a noisy manifold. We show that a multiscale
algorithm succeeds with high probability.
The second ...

#### An Application of Abstract Algebra to the Neural Code for Sound Localization in the Barn Owl

(2016-04-25)

Patterns of neural firing can be viewed as a binary code with each neuron as a bit,
with neurons which actively fire in response to a stimulus associated to a 1 and those
which do not fire associated to a 0. In previous ...

#### Lattice point methods for combinatorial games

(Advances in Applied Mathematics, 2011-01-01)

We encode arbitrary finite impartial combinatorial games in terms of lattice points
in rational convex polyhedra. Encodings provided by these lattice games can be made
particularly efficient for octal games, which we generalize ...

#### Understanding Operator Reed-Muller Codes Through the Weyl Transform

(2018-04-25)

This paper expands the framework on the multidimensional generalizations of binary
Reed-Muller code, operator Reed-Muller codes, where the codewords are projection operators
through the Weyl Transform. The Weyl Transform ...

#### Rational Lifetime Investment Strategies: Gender Differences in the Allocation of Assets in Retirement Savings Plans

(2009)

Previous research has demonstrated that women have greater risk aversion than men.
Controlling for age, education, family size, income, self-reported financial risk
tolerance,
and occupation, this study examines the impact ...