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Claremont Colleges

2009

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Voting, The Symmetric Group, And Representation Theory, Zajj Daugherty '05, Alexander K. Eustis '06, Gregory Minton '08, Michael E. Orrison Dec 2009

Voting, The Symmetric Group, And Representation Theory, Zajj Daugherty '05, Alexander K. Eustis '06, Gregory Minton '08, Michael E. Orrison

All HMC Faculty Publications and Research

We show how voting may be viewed naturally from an algebraic perspective by viewing voting profiles as elements of certain well-studied QSn-modules. By using only a handful of simple combinatorial objects (e.g., tabloids) and some basic ideas from representation theory (e.g., Schur's Lemma), this allows us to recast and extend some well-known results in the field of voting theory.


Self-Organized Criticality In Sheared Suspensions, L. Corté, Sharon J. Gerbode, W. Man, D. J. Pine Dec 2009

Self-Organized Criticality In Sheared Suspensions, L. Corté, Sharon J. Gerbode, W. Man, D. J. Pine

All HMC Faculty Publications and Research

Recent studies reveal that suspensions of neutrally buoyant non-Brownian particles driven by slow periodic shear can undergo a dynamical phase transition between a fluctuating irreversible steady state and an absorbing reversible state. Using a computer model, we show that such systems exhibit self-organized criticality when a finite particle sedimentation velocity vs is introduced. Under periodic shear, these systems evolve, without external intervention, towards the shear-dependent critical concentration ϕc as vs is reduced. This state is characterized by power-law distributions in the lifetime and size of fluctuating clusters. Experiments exhibit similar behavior and, as vs is reduced, …


Humans, Elizabeth Ferguson Dec 2009

Humans, Elizabeth Ferguson

Pitzer Senior Theses

Artists' book utilizing cross disciplinary media.


Beguiled By Bananas: A Retrospective Study Of The Usage And Breadth Of Patron Vs. Librarian Acquired Ebook Collections, Jason S. Price, John D. Mcdonald Nov 2009

Beguiled By Bananas: A Retrospective Study Of The Usage And Breadth Of Patron Vs. Librarian Acquired Ebook Collections, Jason S. Price, John D. Mcdonald

Library Staff Publications and Research

Library acquisitions lore contains a cautionary tale of a patron in a demand-driven environment who spent a huge chunk of the library budget on ebooks about bananas. This story and others like it have been used to perpetuate the argument that demand-driven acquisition will result in collections that don't appeal to a broad audience or are otherwise unbalanced. We apply post-acquisition usage data from multiple libraries to test the hypothesis that patron-acquired versus librarian-acquired collections have different usage profiles. In addition, we analyze their subject profiles to evaluate collection breadth and balance. Our results will help libraries to anticipate the …


How Much Can Guided Modes Enhance Absorption In Thin Solar Cells?, Peter N. Saeta, Vivian E. Ferry, Domenico Pacifici, Jeremy N. Munday, Harry A. Atwater Nov 2009

How Much Can Guided Modes Enhance Absorption In Thin Solar Cells?, Peter N. Saeta, Vivian E. Ferry, Domenico Pacifici, Jeremy N. Munday, Harry A. Atwater

All HMC Faculty Publications and Research

Absorption enhancement in thin metal-backed solar cells caused by dipole scatterers embedded in the absorbing layer is studied using a semi-analytical approach. The method accounts for changes in the radiation rate produced by layers above and below the dipole, and treats incoherently the subsequent scattering of light in guided modes from other dipoles. We find large absorption enhancements for strongly coupled dipoles, exceeding the ergodic limit in some configurations involving lossless dipoles. An antireflection-coated 100-nm layer of a-Si:H on Ag absorbs up to 87% of incident above-gap light. Thin layers of both strong and weak absorbers show similar strongly enhanced …


Tracking Electronic Resource Acquisitions: Using A Helpdesk System To Succeed Where Your Erms Failed, Xan Arch, Jason S. Price Nov 2009

Tracking Electronic Resource Acquisitions: Using A Helpdesk System To Succeed Where Your Erms Failed, Xan Arch, Jason S. Price

Library Staff Publications and Research

From selection to license negotiation through activation, libraries need the ability to track the electronic resource acquisition process and support uninterrupted workflow through multiple people and/or departments. Existing systems store fragments of information about a resource, but they don’t support management of the progress of each resource through the electronic resource acquisition maze. Stanford and Claremont have configured the JIRA and Footprints ticketing systems to address this fundamental need. Our systems facilitate efficient and complete activation of e-resources, and allow greater transparency in the acquisitions process throughout the organization. We will demonstrate the key features & functionality of our independently …


On Similarity Classes Of Well-Rounded Sublattices Of Z², Lenny Fukshansky Oct 2009

On Similarity Classes Of Well-Rounded Sublattices Of Z², Lenny Fukshansky

CMC Faculty Publications and Research

A lattice is called well-rounded if its minimal vectors span the corresponding Euclidean space. In this paper we study the similarity classes of well-rounded sublattices of Z2. We relate the set of all such similarity classes to a subset of primitive Pythagorean triples, and prove that it has the structure of a non-commutative infinitely generated monoid. We discuss the structure of a given similarity class, and define a zeta function corresponding to each similarity class. We relate it to Dedekind zeta of Z[i], and investigate the growth of some related Dirichlet series, which reflect on …


Relating To Relational Aesthetics, Anne Hollinger Lindley Sep 2009

Relating To Relational Aesthetics, Anne Hollinger Lindley

Pomona Senior Theses

This thesis will examine the practice of relational aesthetics as it involves the viewer, as well as the way in which it plays out within and outside of the institutional setting of the museum. I will focus primarily on two unique projects: that of The Machine Project Field Guide at Los Angeles County Museum of Art on November 15, 2008, produced by Machine Project, a social project operated out of a storefront gallery in Echo Park; and David Michalek's Slow Dancing at the Lincoln Center Festival in New York City, July 12-29 2007.


A Preliminary Mathematical Model Of Skin Dendritic Cell Trafficking And Induction Of T Cell Immunity, Amy H. Lin Erickson, Alison Wise, Stephen Fleming, Margaret Baird, Zabeen Lateef, Annette Molinaro, Miranda Teboh-Ewungkem, Lisette G. De Pillis Sep 2009

A Preliminary Mathematical Model Of Skin Dendritic Cell Trafficking And Induction Of T Cell Immunity, Amy H. Lin Erickson, Alison Wise, Stephen Fleming, Margaret Baird, Zabeen Lateef, Annette Molinaro, Miranda Teboh-Ewungkem, Lisette G. De Pillis

All HMC Faculty Publications and Research

Chronic inflammation is a process where dendritic cells (DCs) are constantly sampling antigen in the skin and migrating to lymph nodes where they induce the activation and proliferation of T cells. The T cells then travel back to the skin where they release cytokines that induce/maintain the inflammatory condition. This process is cyclic and ongoing. We created a differential equations model to reflect the initial stages of the inflammatory process. In particular, we modeled antigen stimulation of DCs in the skin, movement of DCs from the skin to a lymph node, and the subsequent activation of T cells in the …


Preface To Special Issue Aug 2009

Preface To Special Issue

Aliso: A Journal of Systematic and Floristic Botany

No abstract provided.


Probing Predispositions: The Pragmatism Of A Process Perspective, David S. Moore Aug 2009

Probing Predispositions: The Pragmatism Of A Process Perspective, David S. Moore

Pitzer Faculty Publications and Research

As J. P. Spencer et al. (2009) argue, the theories of some developmental psychologists continue to be nativistic, even though nativism is an inherently nondevelopmental school of thought. Psychologists interested in development study the emergence of human characteristics—including predispositions—and are not content to simply catalogue competences that characterize human newborns; instead, they recognize that all human characteristics, including those present at birth, reflect the circumstances of development. A truly developmental science of behavior requires rejecting the nativism–empiricism debate outright, abandoning ideas such as “core knowledge” and psychological “endowments,” and adopting a process perspective that focuses on how traits emerge from …


Compression Theorems For Periodic Tilings And Consequences, Arthur T. Benjamin, Alex K. Eustis '06, Mark A. Shattuck Aug 2009

Compression Theorems For Periodic Tilings And Consequences, Arthur T. Benjamin, Alex K. Eustis '06, Mark A. Shattuck

All HMC Faculty Publications and Research

We consider a weighted square-and-domino tiling model obtained by assigning real number weights to the cells and boundaries of an n-board. An important special case apparently arises when these weights form periodic sequences. When the weights of an nm-tiling form sequences having period m, it is shown that such a tiling may be regarded as a meta-tiling of length n whose weights have period 1 except for the first cell (i.e., are constant). We term such a contraction of the period in going from the longer to the shorter tiling as "period compression". It turns out that …


Institutional Resilience Amid Political Change: The Case Of Biodiversity Conservation, Paul F. Steinberg Aug 2009

Institutional Resilience Amid Political Change: The Case Of Biodiversity Conservation, Paul F. Steinberg

All HMC Faculty Publications and Research

There is a substantial literature documenting the spatial mismatch between the geographic location of biological resources and the spatial jurisdiction of the institutions responsible for their management. But little attention has been paid to the disjuncture in temporal scales between the long-term requirements of biodiversity conservation and the short time horizons governing public and private decisions affecting the survival of species and ecosystems. How can we create socially agreed-upon rules governing the long-term use and conservation of biodiversity when ongoing change is one of the defining characteristics of modern society? This article describes a new approach to biodiversity conservation—conservation systems—that …


Asymptotic Dynamics Of Attractive-Repulsive Swarms, Andrew J. Leverentz '08, Chad M. Topaz, Andrew J. Bernoff Jul 2009

Asymptotic Dynamics Of Attractive-Repulsive Swarms, Andrew J. Leverentz '08, Chad M. Topaz, Andrew J. Bernoff

All HMC Faculty Publications and Research

We classify and predict the asymptotic dynamics of a class of swarming models. The model consists of a conservation equation in one dimension describing the movement of a population density field. The velocity is found by convolving the density with a kernel describing attractive-repulsive social interactions. The kernel’s first moment and its limiting behavior at the origin determine whether the population asymptotically spreads, contracts, or reaches steady state. For the spreading case, the dynamics approach those of the porous medium equation. The widening, compactly supported population has edges that behave like traveling waves whose speed, density, and slope we calculate. …


A Semilinear Wave Equation With Smooth Data And No Resonance Having No Continuous Solution, Jose F. Caicedo, Alfonso Castro Jul 2009

A Semilinear Wave Equation With Smooth Data And No Resonance Having No Continuous Solution, Jose F. Caicedo, Alfonso Castro

All HMC Faculty Publications and Research

We prove that a boundary value problem for a semilinear wave equation with smooth nonlinearity, smooth forcing, and no resonance cannot have continuous solutions. Our proof shows that this is due to the non-monotonicity of the nonlinearity.


Defining Best Practices In Electronic Thesis And Dissertation Metadata, Rebecca L. Lubas Jul 2009

Defining Best Practices In Electronic Thesis And Dissertation Metadata, Rebecca L. Lubas

Library Staff Publications and Research

The University of New Mexico will mandate in 2009 that theses and dissertations be submitted in electronic form as the copy of record. These documents will reside in the university’s digital repository, operated on a DSpace platform. This article reviews practices for thesis and dissertation metadata creation with a focus on DSpace instances, best practice recommendations for authorsubmitted metadata, recommendations for subject analysis, and training for metadata practitioners. The article recommends processes for author submission, metadata quality control and enhancement, and crosswalking of the metadata to the library’s catalog to maximize discovery.


Sum Rules And Universality In Electron-Modulated Acoustic Phonon Interaction In A Free-Standing Semiconductor Plate, Shigeyasu Uno, Darryl H. Yong, Nobuya Mori Jun 2009

Sum Rules And Universality In Electron-Modulated Acoustic Phonon Interaction In A Free-Standing Semiconductor Plate, Shigeyasu Uno, Darryl H. Yong, Nobuya Mori

All HMC Faculty Publications and Research

Analysis of acoustic phonons modulated due to the surfaces of a free-standing semiconductor plate and their deformation-potential interaction with electrons are presented. The form factor for electron-modulated acoustic phonon interaction is formulated and analyzed in detail. The form factor at zero in-plane phonon wave vector satisfies sum rules regardless of electron wave function. The form factor is larger than that calculated using bulk phonons, leading to a higher scattering rate and lower electron mobility. When properly normalized, the form factors lie on a universal curve regardless of plate thickness and material.


The Initial And Final States Of Electron And Energy Transfer Processes: Diabatization As Motivated By System-Solvent Interactions, Joseph E. Subotnik, Robert J. Cave, Ryan P. Steele, Neil Shenvi Jun 2009

The Initial And Final States Of Electron And Energy Transfer Processes: Diabatization As Motivated By System-Solvent Interactions, Joseph E. Subotnik, Robert J. Cave, Ryan P. Steele, Neil Shenvi

All HMC Faculty Publications and Research

For a system which undergoes electron or energy transfer in a polar solvent, we define the diabatic states to be the initial and final states of the system, before and after the nonequilibrium transfer process. We consider two models for the system-solvent interactions: A solvent which is linearly polarized in space and a solvent which responds linearly to the system. From these models, we derive two new schemes for obtaining diabatic states from ab initio calculations of the isolated system in the absence of solvent. These algorithms resemble standard approaches for orbital localization, namely, the Boys and Edmiston–Ruedenberg (ER) formalisms. …


Generation Of Mie Size Microdroplet Aerosols With Applications In Laser-Driven Fusion Experiments, Andrew P. Higginbotham '09, O. Semonin '06, S. Bruce '08, C. Chan '08, M. Maindi '07, Thomas D. Donnelly, M. Maurer, W. Bang, I. Churina, J. Osterholz, I. Kim, A. C. Bernstein, T. Ditmire Jun 2009

Generation Of Mie Size Microdroplet Aerosols With Applications In Laser-Driven Fusion Experiments, Andrew P. Higginbotham '09, O. Semonin '06, S. Bruce '08, C. Chan '08, M. Maindi '07, Thomas D. Donnelly, M. Maurer, W. Bang, I. Churina, J. Osterholz, I. Kim, A. C. Bernstein, T. Ditmire

All HMC Faculty Publications and Research

We have developed a tunable source of Mie scale microdroplet aerosols that can be used for the generation of energetic ions. To demonstrate this potential, a terawatt Ti:Al2O3 laser focused to 2×1019 W/cm2 was used to irradiate heavy water (D2O) aerosols composed of micron-scale droplets. Energetic deuterium ions, which were generated in the laser-droplet interaction, produced deuterium-deuterium fusion with approximately 2×103 fusion neutrons measured per joule of incident laser energy.


Cover Page May 2009

Cover Page

Aliso: A Journal of Systematic and Floristic Botany

No abstract provided.


Epiparasitism In Phoradendron Durangense And P. Falcatum (Viscaceae), Clyde L. Calvin, Carol A. Wilson May 2009

Epiparasitism In Phoradendron Durangense And P. Falcatum (Viscaceae), Clyde L. Calvin, Carol A. Wilson

Aliso: A Journal of Systematic and Floristic Botany

Phoradendron, the largest mistletoe genus in the New World, extends from temperate North America to temperate South America. Most species are parasitic on terrestrial hosts, but a few occur only, or primarily, on other species of Phoradendron. We examined relationships among two obligate epiparasites, P. durangense and P. falcatum, and their parasitic hosts. Fruit and seed of both epiparasites were small compared to those of their parasitic hosts. Seed of epiparasites was established on parasitic-host stems, leaves, and inflorescences. Shoots developed from the plumular region or from buds on the holdfast or subjacent tissue. The developing endophytic …


Descriptive Anatomy And Evolutionary Patterns Of Anatomical Diversification In Adenia (Passifloraceae), David J. Hearn May 2009

Descriptive Anatomy And Evolutionary Patterns Of Anatomical Diversification In Adenia (Passifloraceae), David J. Hearn

Aliso: A Journal of Systematic and Floristic Botany

To understand evolutionary patterns and processes that account for anatomical diversity in relation to ecology and life form diversity, anatomy of storage roots and stems of the genus Adenia (Passifloraceae) were analyzed using an explicit phylogenetic context. Over 65,000 measurements are reported for 47 quantitative and qualitative traits from 58 species in the genus. Vestiges of lianous ancestry were apparent throughout the group, as treelets and lianous taxa alike share relatively short, often wide, vessel elements with simple, transverse perforation plates, and alternate lateral wall pitting; fibriform vessel elements, tracheids associated with vessels, and libriform fibers as additional tracheary elements; …


List Of Reviewers May 2009

List Of Reviewers

Aliso: A Journal of Systematic and Floristic Botany

No abstract provided.


Index May 2009

Index

Aliso: A Journal of Systematic and Floristic Botany

No abstract provided.


Non-Random Vessel Distribution In Woods: Patterns, Modes, Diversity, Correlations, Sherwin Carlquist May 2009

Non-Random Vessel Distribution In Woods: Patterns, Modes, Diversity, Correlations, Sherwin Carlquist

Aliso: A Journal of Systematic and Floristic Botany

Vessel grouping is a form of non-random distribution that becomes functionally valuable when the background consists of non-conductive imperforate tracheary elements (fiber-tracheids and libriform fibers); ungrouped vessels, randomly placed, often occur in an all-tracheid background. Types of vessel grouping are described and illustrated: diagonal, tangential, radial, median radial bands, and growth rings. Other non-random distributions considered include degrees and kinds of cable construction, patchy vessel distributions, vessel displacement related to succulence, and patterns involving successive cambia. Non-random vessel distributions inevitably involve non-random placement of imperforate tracheary elements, so that a parallel set of mechanical adaptations is often simultaneously achieved. Correlations …


Whole Foods: Renewable Energy Credits, Green Business, And Capitalist Approaches To Climate Change, Samantha Kanofsky May 2009

Whole Foods: Renewable Energy Credits, Green Business, And Capitalist Approaches To Climate Change, Samantha Kanofsky

Pomona Senior Theses

Dedication. Acknowledgements. Preface. Chapter 1: Introduction. Chapter 2: Green Business and Carbon Offsetting. Chapter 3A: Case Study. Chapter 3B: Interview. Chapter 4: Case Study. Chapter 5: Conclusion. Bibliography.


A Place Like This: An Environmental Justice History Of The Owens Valley - Water In Indigenous, Colonial, And Manzanar Stories, Monica Embrey May 2009

A Place Like This: An Environmental Justice History Of The Owens Valley - Water In Indigenous, Colonial, And Manzanar Stories, Monica Embrey

Pomona Senior Theses

This text provides an environmental justice analysis of the stories of the people who lived in the Owens Valley, who watered its land and cultivated its crops—pine trees, apple trees, and kabocha alike. Telling the personal stories of challenge and resistance that manifested alongside the oppressive forces of military and state domination provides the opportunity to align forcibly relocated, exploited and incarcerated people’s struggles throughout time. This text starts with The Nü’ma Peoples who were the first humans to live in the Owens Valley and continues with the struggle for empire between rival colonial empires of agriculture and distant urban …


Abelian Sandpile Model On Symmetric Graphs, Natalie Durgin May 2009

Abelian Sandpile Model On Symmetric Graphs, Natalie Durgin

HMC Senior Theses

The abelian sandpile model, or chip firing game, is a cellular automaton on finite directed graphs often used to describe the phenomenon of self organized criticality. Here we present a thorough introduction to the theory of sandpiles. Additionally, we define a symmetric sandpile configuration, and show that such configurations form a subgroup of the sandpile group. Given a graph, we explore the existence of a quotient graph whose sandpile group is isomorphic to the symmetric subgroup of the original graph. These explorations are motivated by possible applications to counting the domino tilings of a 2n × 2n grid.


Branching Diagrams For Group Inclusions Induced By Field Inclusions, Tedodore Spaide May 2009

Branching Diagrams For Group Inclusions Induced By Field Inclusions, Tedodore Spaide

HMC Senior Theses

A Fourier transform for a finite group G is an isomorphism from the complex group algebra CG to a direct product of complex matrix algebras, which are determined beforehand by the structure of G. Given such an isomorphism, naive application of that isomorphism to an arbitrary element of CG takes time proportional to |G|2. A fast Fourier transform for some (family of) groups is an algorithm which computes the Fourier transform of a group G of the family in less than O(|G|2) time, generally O(|G| log |G|) or O(|G|(log |G|)2). I describe the construction of a fast Fourier transform for …


In Passing, Julia Allisson Cost May 2009

In Passing, Julia Allisson Cost

Scripps Senior Theses

My intentions for "In Passing" were to build the beginnings of an education philosophy through a richly varied choreographic process. I wanted my dancers to come away from this work with a heightened eagerness to explore the unfamiliar and an increased confidence in their ability to support one another and be supported, and I wanted to learn to more effectively and tenderly lead a group of many different personalities through a long-term creative experience. I think we have been successful.