Students
Project
Description
Karthik Ganesan
math models of road networks
Graphics and simulation data for the "binary hierarchy" model in
this paper
Bowen Huang
Simulations of a model for city growth
Graphics and simulation data for a short publication version of
this paper.
Jian Li
Dynamic random Gabriel networks
Computer simulations and graphics.
Morgan Thompson [graduate volunteer]
Data on dust-to-dust models
Producing data used in Chapter 11 of
Draft write-up of 13 lectures.
Xiaoyu (Lily) Wang
Design of simulation of efficient road networks
Continuing the theme of heuristic algorithms in this paper
to study models with junctions.
Students
Project
Description
Fayd Shelley (Summer 2006); Sunny Zhao (Fall 2008)
Coincidences in Wikipedia (RW)
Data appears in this
unfinished draft paper.
Dennis Moy (Fall 2006)
A regression model using common baseball statistics
to project offensive and defensive efficiency.
Undergraduate honors thesis.
Yanjiao Cheng, Jesse Friedman, Yu-Jay Huoh, Wayne Lee, Harrison Liu (Spring 2007)
Statistics of road networks
Data collection for Figure 1 of this paper.
URAP and VIGRE.
Tamar Lando (Spring 2008)
Efficient Networks and
Enumerations on Forests
Masters thesis. Part will appear as section xxx of xxx.
Julian Shun (Spring 2008)
Optimal spatial networks
Simulations, forming a substantial part of our joint paper.
Robert Huang (Spring 2008)
Exploratory data
analysis of amazon.com book review data.
VIGRE.
Eric Chao and Regina Wu (Spring 2009)
This and the next are continuations of the same project. URAP.
Timothy Wong (Spring 2009)
Exploratory Data Analysis of Amazon.com Book Reviews
Undergraduate honors thesis.
Amy Huang and Irvin Liu (Spring 2009)
References to chance in blogs (RW)
What type of things do "ordinary people" attribute to chance?
One way to study this is to search through blogs. URAP.
Amy Huang and Irvin Liu (Spring 2009)
The 1.4 trillion dollar project (RW).
A Google search on "1.4 trillion dollars" gets a surprisingly large number of hits,
which can be traced back to some smaller number of different appearances of
"1.4 trillion dollars" in some authoritative data. The project was to count this
"number of different appearances" for a variety of dollar amounts (2.8 trillion; 1.8 billion, etc) to see
whether they follow a particular "informationless" distribution. URAP.
Tung Phan (Spring 2009)
Benford's law. (RW)
Data collection, forming a substantial part of our short joint paper When Can One Test an Explanation?
Compare and Contrast Benford's Law and the Fuzzy CLT exhibiting a typical undergrad project.
Priscilla Ku and Janet Larwood (Spring 2009)
40,000 coin tosses yield ambiguous evidence for dynamical bias (RW)
Testing a prediction of Persi Diaconis et al that in coin-tossing there is a small bias -- maybe 1/100 - towards
the coin landing the same way as it started. URAP.
Alan Choi (Spring 2009)
Statistics of road networks
Data collection, forming a substantial part of our short joint paper
A Route-Length Efficiency Statistic for Road
Networks
.
Wei Zhou and Jonathan Ong (Spring 2009)
Empires and percolation .
Simulations and pictures, used to complement theory in
our joint paper
Empires and percolation: stochastic merging of adjacent regions.
Bowei Zheng (2008-2009)
Java simulations for a "parking process"
The process was studied analytically in this old paper.
Tung Phan (Fall 2009)
What can you predict about a team's performance next season? (RW)
Quantifies the regression effect for sports teams.
Karthik Ganesan [VIGRE] (Spring 2012)
Empirical Study on Route-Length Efficiency of Road Networks
Data collection for route-length efficiency of road networks. Graphics used in
this talk
Hyerim Hong [Independent study] (Spring 2012)
Perception on role of chance in different aspects of life
Via a survey
Bowen Huang [VIGRE] (Spring 2012)
City Growth Model Simulation
Here is a slightly complicated model for city growth
in which cities have positions, populations and spheres of influence.
It's not hard to simulate the process, but I want some pretty pictures of
the spheres of influence.
Willy Lai [VIGRE] (Spring 2012)
Fitting power-law distributions to data
Testing data for fit to power-law distributions. e.g. this
data
on family names.
Russell Mays [volunteer] (Spring 2012)
Road route networks linking 4 addresses
Take 4 street addresses, whose positions form roughly a square, of side length roughly
5 miles or 50 miles or 500 miles. Use e.g. Google maps to find the routes between each of the
6 pairs of addresses, and draw a map showing these 6 routes together. Mathematically there are about 45 topologically different possibilities
for the map; presumably some come up often and others rarely, but which? And does it vary with
distance (side-length of square)?
Max Moacanin [volunteer] (Spring 2012)
Lucky vs Unlucky teams
Assuming gambling odds give true probabilities,
one can classify a team as having been lucky or unlucky so far.
Do results of matches between lucky and unlucky teams fit the gambling odds?
Selene Xu [Independent study] (Spring 2012)
Study of Auction Theory in eBay Data
Collecting and studying data about auction prices.
Amy Zhang [honors thesis] (Spring 2012)
Pairs trading
A simulation study to explore possible relationship and
connection between profit and different variables associated with
stock selections in pairs trading.
Yiming Zhou [Independent study] (Spring 2012)
Spatial Poisson processes
Draft of possible Wikipedia article