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Recent documents in Mathematicsen-usSun, 06 Sep 2015 09:51:24 PDT3600The Effect of Female Ownership and Management on Firm Performance: Evidence from Latin America
http://wesscholar.wesleyan.edu/etd_hon_theses/1145
http://wesscholar.wesleyan.edu/etd_hon_theses/1145Mon, 03 Jun 2013 05:26:23 PDTRomaine Anthony CampbellTowards Understanding Global Imbalances: Are Chinese Households "Special"?
http://wesscholar.wesleyan.edu/etd_hon_theses/1141
http://wesscholar.wesleyan.edu/etd_hon_theses/1141Mon, 03 Jun 2013 05:26:19 PDTAlexander Louis Persky-SternUnintended Consequences? The Effects of Regulation on Executive Compensation: Evidence from the Forbes 500
http://wesscholar.wesleyan.edu/etd_hon_theses/1087
http://wesscholar.wesleyan.edu/etd_hon_theses/1087Mon, 03 Jun 2013 05:25:39 PDT
Since 1990, the amount and way CEOs of American firms are paid has changed drastically. While some theorists posit that the increase in CEO pay witnessed over this time period is an efficient outcome of market forces, other argue that CEO has risen indefensibly as a result of powerful CEOs capturing the pay-setting process. Another idea put forth is that regulation, and thus the accounting expenses related to executive pay, have played a role in shaping CEO compensation levels and composition. This thesis explores this idea further by utilizing a difference-in-difference approach to study the effects of specific government regulation on executive compensation. The results suggest that government regulation has indeed affected CEO compensation levels and composition. Furthermore, the effects are not in line with the original intent of the lawmakers who passed the bill, highlighting the ineffectiveness of such regulation.
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Christopher Robert KuehnJoops World: A Mathematical Analysis of Heat Transfer in an Earth Analog Model
http://wesscholar.wesleyan.edu/etd_hon_theses/924
http://wesscholar.wesleyan.edu/etd_hon_theses/924Tue, 19 Jun 2012 09:16:11 PDT
The purpose of this experiment is to identify a greenhouse effect in the simple earth analog model: a uniformly heated sphere in a closed chamber. By filling the chamber with different gases, we can compare the effects of different gas properties on the overall heat transfer of the system. The goal is to determine the influence of each component of heat transfer on the overall system and investigate how this affects the average temperature of the sphere. Ultimately, we hope to be able to relate these results to the global climate system, specifically how changes in atmospheric gases affect average global temperature. We used a series of mathematical computations to determine the magnitude of the various methods of heat transfer and found convection to be an important component. We then concluded that the properties of each gas had a significant effect on convection in the chamber. From these results, we were also able to show the existence of the greenhouse effect.
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Margaret Henry RamdinWhat's Not to Like?: Facebook's Corporate "Like" Pages' Pivotal Role in a Corporation's Website Popularity
http://wesscholar.wesleyan.edu/etd_hon_theses/804
http://wesscholar.wesleyan.edu/etd_hon_theses/804Tue, 19 Jun 2012 08:35:05 PDTAlison Helen SingerImmigration, Wages, and the Solow Growth Model: An OECD Perspective
http://wesscholar.wesleyan.edu/etd_hon_theses/699
http://wesscholar.wesleyan.edu/etd_hon_theses/699Thu, 02 Jun 2011 13:19:32 PDTChristopher Turner MichaelProduct Variety: The Intensive vs. Extensive Margins of Efficiency
http://wesscholar.wesleyan.edu/etd_hon_theses/589
http://wesscholar.wesleyan.edu/etd_hon_theses/589Thu, 17 Jun 2010 11:36:04 PDT
The paper creates and analyzes a circular location model where a social planner chooses the addresses on the circular product spaces where a firm can enter. The paper identifies two different regimes that a social planner can use in order to determine exactly how many firms enter at the different locations. At each different address, firms compete via Cournot to serve the consumer base. In symmetric equilibrium there will be the same number of firms and output produced at each location. When the social planner adds more locations, he increases product variety and competition among the locations, but also decreases the number of firms at each location, which in turn increases inefficiency.
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Siddhartha Pal AnejaTipping in Two Sided Software Markets: An Investigation of Asymmetric Cost Differences
http://wesscholar.wesleyan.edu/etd_hon_theses/529
http://wesscholar.wesleyan.edu/etd_hon_theses/529Thu, 17 Jun 2010 11:34:30 PDT
This paper models a two-sided market with two horizontally-differentiated platforms that conduct a game in prices. Platforms set only membership fees to both buyers and sellers. The game is single-stage as platforms choose prices and agents simultaneously choose which platform to join. Given the equilibrium prices to each side, the paper investigates the effects of inter-platform cost asymmetries. It finds that the magnitude of the effects of inter-platform cost differences on equilibrium membership depends on whether the asymmetric costs are borne by the platform or by developers on the platform. Under regimes with high network effects, differences in the platforms' costs of acquiring and serving customers have only limited impact, while the impact of cost differences for component production are less clear.
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Alexander Kahn GoldCalculating the Degree of Higher Order Alexander Polynomials
http://wesscholar.wesleyan.edu/etd_hon_theses/504
http://wesscholar.wesleyan.edu/etd_hon_theses/504Thu, 17 Jun 2010 11:33:50 PDT
Given two knots, K1 and K2 , a fundamental problem in low dimensional topology is determining if K1 and K2 are equivalent. Knot invariants are a key tool in determining this equivalence. We de&amp;#64257;ne an in&amp;#64257;nite sequence of integer invariants, &amp;#948;n for (n &amp;#8805; 0), based on the derived series of fundamental groups of knot complements. While these &amp;#948;n are useful, calculating them is a non- trivial task, usually requiring manipulations of modules over non-commutative, non-principal ideal domains. We detail the process of evaluating &amp;#948;1 , and then discuss an implementation of a computer program that calculates &amp;#948;1 .
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Erik Robert HolumEconomic Shocks and Civil Conflict: Evidence from the Constraints of the Open-Economy Trilemma
http://wesscholar.wesleyan.edu/etd_hon_theses/467
http://wesscholar.wesleyan.edu/etd_hon_theses/467Thu, 17 Jun 2010 11:32:54 PDTPeter Davenport HullA Discussion of Higher-Order Alexander Modules
http://wesscholar.wesleyan.edu/etd_hon_theses/410
http://wesscholar.wesleyan.edu/etd_hon_theses/410Thu, 17 Jun 2010 11:31:36 PDTNathan Mulvey FieldsteelForeign Direct Investment and Export Performance in Thailand
http://wesscholar.wesleyan.edu/etd_hon_theses/382
http://wesscholar.wesleyan.edu/etd_hon_theses/382Wed, 27 May 2009 12:37:02 PDT
This research project aims to further shed light on the influences of FDI on firm-level export outcomes in Thailand. The goals of this paper are to identify the factors, particularly those related to FDI, that determine firms' export orientation, and to make policy recommendations with regard to facilitating MNCs export spillovers. The findings from this project indicate that firms' decisions to export are heavily influenced by governmental aid and the presence of foreign direct investors. Secondary findings from this project further propose that the intensity of firms' exports is increasing in the percentage of foreign ownership in the (host country's) firms.
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Sutida TambunlertchaiTwo Essays on the Bank Lending Channel in Japan
http://wesscholar.wesleyan.edu/etd_hon_theses/378
http://wesscholar.wesleyan.edu/etd_hon_theses/378Wed, 27 May 2009 12:36:46 PDTSeitaro TakarabeOnce-Reinforced Random Walks on Z and The Doubly Infinite Ladder
http://wesscholar.wesleyan.edu/etd_hon_theses/201
http://wesscholar.wesleyan.edu/etd_hon_theses/201Mon, 30 Jun 2008 08:57:59 PDTRebecca Alice FeidenFinancial Intermediation of Chinese Banks during WTO Transition
http://wesscholar.wesleyan.edu/etd_hon_theses/185
http://wesscholar.wesleyan.edu/etd_hon_theses/185Mon, 30 Jun 2008 08:57:18 PDT
The empirical literature on China's banking sector shows a prevalence of connected lending practices that favor unviable state-owned enterprises (SOEs) while discriminating against productive private enterprises. This paper extends the data to 2005 to investigate whether the integrity of lending policy has improved during recent periods when the government of China allegedly made a significant stride in reforming its banking sector as it prepared for WTO compliance. The paper finds that the response of bank loans to economic fundamentals remains persistently weak (or even strongly negative) while unprofitable SOEs continue to attract bank loans. We also find evidence that suggests the interbank market is highly fragmented, so banks are still limited in lending by their collections of household deposits. These pieces of evidence cast some doubt on the efficacy of recent banking reform.
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Mark Eric PurserCollusion among the cellular carriers in Thailand: An empirical investigation
http://wesscholar.wesleyan.edu/etd_hon_theses/139
http://wesscholar.wesleyan.edu/etd_hon_theses/139Mon, 30 Jun 2008 08:55:20 PDTNapat PhichaphopThe Distinguishing Chromatic Number of the Graph, C_n ? I_m
http://wesscholar.wesleyan.edu/etd_hon_theses/37
http://wesscholar.wesleyan.edu/etd_hon_theses/37Mon, 30 Jun 2008 08:50:48 PDT
In this paper, we will extend the works of Collins and Trenk, by finding the distinguishing chromatic number of the graph C_n ◦ I_m, n, m ∈ N. We will first look at a couple of examples, starting with m = 2, and providing a theorem for C_n ◦ I_2 , while also offering an example of a coloring scheme for each n and explaining why the scheme works. We will then look at the case for m = 3, followed by the general case.
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Donny K. TangIntroduction to Percolation and Determinate Percolation
http://wesscholar.wesleyan.edu/etd_hon_theses/10
http://wesscholar.wesleyan.edu/etd_hon_theses/10Mon, 30 Jun 2008 08:49:30 PDT
Take a porous stone and immerse it in water. Does the center of the stone contain water? The answer to this question can be given by understanding mathematical percolation. The percolation process is a model of an event passing through a space. The event can be one such as a disease spreading, or such as an object being permeated by a liquid. The space restricts this. In the pure mathematical sense of the percolation process, we care not about the event, but its ability to span. To be able to handle this problem, we consider our space to be in the form of a random lattice. We mostly work with the square lattice, but will mention some others such as the triangular lattice. There are two types of mechanics used to describe how our liquid penetrates through our lattice. In site percolation, each vertex has a probability (independent of the rest) of being 'open', otherwise it is 'closed'. Our liquid is allowed to pass to an adjacent vertex only if it is open. Bond percolation considers edges in our lattice open or closed and events travel from one vertex to an adjacent vertex only if the edge is open. At some probability level, our liquid will succeed in reaching an infinite number of vertices. This leads us to the idea of a critical probability (or $p_c$), where if our vertices/edges have a probability greater than $p_c$ of being open, then with positive probability the liquid will reach an infinite number of vertices. On the other hand, if the probability that a vertex or edge is open is less than our critical probability, then surely the event will not be able to reach infinitely many vertices. In chapter 2 we consider percolation on a finite rectangular sub-lattice. After determining which edges or vertices are closed in our finite lattice, we 'copy' the outcome and periodically layer the entire plane with these copies. We call this determinate percolation as one sub-lattice or 'tile' determines the outcome of the entire lattice. This is a new model which I have not been able to find in the literature, and which exhibits apparently some interesting phenomena.
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David Darling