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Articles 31 - 60 of 64
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Complex Symmetric Partial Isometries, Stephan Ramon Garcia, Warren R. Wogen
Complex Symmetric Partial Isometries, Stephan Ramon Garcia, Warren R. Wogen
Pomona Faculty Publications and Research
An operator $T \in B(\h)$ is complex symmetric if there exists a conjugate-linear, isometric involution $C:\h\to\h$ so that $T = CT^*C$. We provide a concrete description of all complex symmetric partial isometries. In particular, we prove that any partial isometry on a Hilbert space of dimension $\leq 4$ is complex symmetric.
Truncated Toeplitz Operators: Spatial Isomorphism, Unitary Equivalence, And Similarity, Joseph A. Cima, Stephan Ramon Garcia, William T. Ross, Warren R. Wogen
Truncated Toeplitz Operators: Spatial Isomorphism, Unitary Equivalence, And Similarity, Joseph A. Cima, Stephan Ramon Garcia, William T. Ross, Warren R. Wogen
Pomona Faculty Publications and Research
A truncated Toeplitz operator A φ : K Θ → K Θ is the compression of a Toeplitz operator T φ : H 2 → H 2 to a model space K Θ ≔ H 2 ⊖ Θ H 2 . For Θ inner, let T Θ denote the set of all bounded truncated Toeplitz operators on K Θ . Our main result is a necessary and sufficient condition on inner functions Θ 1 and Θ 2 which guarantees that T Θ 1 and T Θ 2 are spatially isomorphic (i.e., U T Θ 1 = T Θ 2 U …
Every Graph Has An Embedding In S³ Containing No Non-Hyperbolic Knot, Erica Flapan, Hugh Howards
Every Graph Has An Embedding In S³ Containing No Non-Hyperbolic Knot, Erica Flapan, Hugh Howards
Pomona Faculty Publications and Research
In contrast with knots, whose properties depend only on their extrinsic topology in S³ , there is a rich interplay between the intrinsic structure of a graph and the extrinsic topology of all embeddings of the graph in S³ . For example, it was shown by Conway and Gordon that every embedding of the complete graph K_7 in S³ contains a non-trivial knot. Later it was shown that for every m ∈ N there is a complete graph K_n such that every embedding of K_n in S³ contains a knot Q whose minimal crossing number is at least m. …
Review: On Quantum Yang-Baxter Coherent Algebra Sheaves, Gizem Karaali
Review: On Quantum Yang-Baxter Coherent Algebra Sheaves, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Review: Graded Structure And Hopf Structures In Parabosonic Algebra. An Alternative Approach To Bosonisation, Gizem Karaali
Review: Graded Structure And Hopf Structures In Parabosonic Algebra. An Alternative Approach To Bosonisation, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Review: Dynamical Yang-Baxter Maps With An Invariance Condition, Gizem Karaali
Review: Dynamical Yang-Baxter Maps With An Invariance Condition, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Review: Solutions For The Constant Quantum Yang-Baxter Equation From Lie (Super)Algebras, Gizem Karaali
Review: Solutions For The Constant Quantum Yang-Baxter Equation From Lie (Super)Algebras, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Review: Set-Theoretic Solutions Of The Yang-Baxter Equation, Graphs And Computations, Gizem Karaali
Review: Set-Theoretic Solutions Of The Yang-Baxter Equation, Graphs And Computations, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Why Did Lagrange "Prove" The Parallel Postulate?, Judith V. Grabiner
Why Did Lagrange "Prove" The Parallel Postulate?, Judith V. Grabiner
Pitzer Faculty Publications and Research
In 1806, Joseph-Louis Lagrange read a memoir "proving" Euclid's parallel postulate to the Institut de France in Paris. The memoir still exists in manuscript, and we’ll look at what it says. We ask why he tried to prove the postulate, and why he attacked the problem in the way that he did. We also look at how the ideas in this manuscript are related to such things as Lagrange’s philosophy of mathematics, artists’ ideas about space, Newtonian mechanics, and Leibniz's Principle of Sufficient Reason. Finally, we reflect on how this episode changes our views about eighteenth-century attitudes toward geometry, space, …
Review: A Class Of Solutions To The Quantum Colored Yang-Baxter Equation, Gizem Karaali
Review: A Class Of Solutions To The Quantum Colored Yang-Baxter Equation, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Mathematical Model Creation For Cancer Chemo-Immunotherapy, Lisette G. De Pillis, K Renee Fister, Weiqing Gu, Craig Collins, Michael Daub, David Gross '08, James Moore '07, Benjamin Preskill '09
Mathematical Model Creation For Cancer Chemo-Immunotherapy, Lisette G. De Pillis, K Renee Fister, Weiqing Gu, Craig Collins, Michael Daub, David Gross '08, James Moore '07, Benjamin Preskill '09
All HMC Faculty Publications and Research
One of the most challenging tasks in constructing a mathematical model of cancer treatment is the calculation of biological parameters from empirical data. This task becomes increasingly difficult if a model involves several cell populations and treatment modalities. A sophisticated model constructed by de Pillis et al., Mixed immunotherapy and chemotherapy of tumours: Modelling, applications and biological interpretations, J. Theor. Biol. 238 (2006), pp. 841–862; involves tumour cells, specific and non-specific immune cells (natural killer (NK) cells, CD8 T cells and other lymphocytes) and employs chemotherapy and two types of immunotherapy (IL-2 supplementation and CD8 T-cell infusion) as treatment modalities. …
Stability Of Traveling Waves In Thin Liquid Films Driven By Gravity And Surfactant, Ellen Peterson, Michael Shearer, Thomas P. Witelski, Rachel Levy
Stability Of Traveling Waves In Thin Liquid Films Driven By Gravity And Surfactant, Ellen Peterson, Michael Shearer, Thomas P. Witelski, Rachel Levy
All HMC Faculty Publications and Research
A thin layer of fluid flowing down a solid planar surface has a free surface height described by a nonlinear PDE derived via the lubrication approximation from the Navier Stokes equations. For thin films, surface tension plays an important role both in providing a significant driving force and in smoothing the free surface. Surfactant molecules on the free surface tend to reduce surface tension, setting up gradients that modify the shape of the free surface. In earlier work [12, 13J a traveling wave was found in which the free surface undergoes three sharp transitions, or internal layers, and the surfactant …
Compensatory Evolution Of Gene Regulation In Response To Stress By Escherichia Coli Lacking Rpos, Daniel M. Stoebel, Karsten Hokamp, Michael S. Last, Charles J. Dorman
Compensatory Evolution Of Gene Regulation In Response To Stress By Escherichia Coli Lacking Rpos, Daniel M. Stoebel, Karsten Hokamp, Michael S. Last, Charles J. Dorman
All HMC Faculty Publications and Research
The RpoS sigma factor protein of Escherichia coli RNA polymerase is the master transcriptional regulator of physiological responses to a variety of stresses. This stress response comes at the expense of scavenging for scarce resources, causing a trade-off between stress tolerance and nutrient acquisition. This trade-off favors non-functional rpoS alleles in nutrient-poor environments. We used experimental evolution to explore how natural selection modifies the regulatory network of strains lacking RpoS when they evolve in an osmotically stressful environment. We found that strains lacking RpoS adapt less variably, in terms of both fitness increase and changes in patterns of transcription, than …
On The Computational Complexity Of The Reticulate Cophylogeny Reconstruction Problem, Ran Libeskind-Hadas, Michael A. Charleston
On The Computational Complexity Of The Reticulate Cophylogeny Reconstruction Problem, Ran Libeskind-Hadas, Michael A. Charleston
All HMC Faculty Publications and Research
The cophylogeny reconstruction problem is that of finding minimal cost explanations of differences between evolutionary histories of ecologically linked groups of biological organisms. We present a proof that shows that the general problem of reconciling evolutionary histories is NP-complete and provide a sharp boundary where this intractability begins. We also show that a related problem, that of finding Pareto optimal solutions, is NP-hard. As a byproduct of our results, we give a framework by which meta-heuristics can be applied to find good solutions to this problem.
Bridging The Gap Between The Field And The Lab: Environmental Goods, Policy Maker Input, And Consequentiality, Christian A. Vossler, Mary F. Evans
Bridging The Gap Between The Field And The Lab: Environmental Goods, Policy Maker Input, And Consequentiality, Christian A. Vossler, Mary F. Evans
CMC Faculty Publications and Research
This paper explores the criterion validity of stated preference methods through experimental referenda that capture key characteristics of a stated preference survey for a proposed environmental program. In particular, we investigate whether advisory referenda, where participant votes have either known or unknown weight in the policy decision, can elicit values comparable to that of a standard, incentive-compatible referendum. When participants regard their votes as consequential, our results suggest there is no elicitation bias with advisory referenda. For advisory referenda where participants view their votes as inconsequential, and for purely hypothetical referenda, we observe elicitation bias.
Regulation With Direct Benefits Of Information Disclosure And Imperfect Monitoring, Mary F. Evans, Scott M. Gilpatric, Lirong Liu
Regulation With Direct Benefits Of Information Disclosure And Imperfect Monitoring, Mary F. Evans, Scott M. Gilpatric, Lirong Liu
CMC Faculty Publications and Research
We model the optimal design of programs requiring heterogeneous firms to disclose harmful emissions when disclosure yields both direct and indirect benefits. The indirect benefit arises from the internalization of social costs and resulting reduction in emissions. The direct benefit results from the disclosure of previously private information which is valuable to potentially harmed parties. Previous theoretical and empirical analyses of such programs restrict attention to the former benefit while the stated motivation for such programs highlights the latter benefit. When disclosure yields both direct and indirect benefits, policymakers face a tradeoff between inducing truthful self-reporting and deterring emissions. Internalizing …
Hybrid Allocation Mechanisms For Publicly Provided Goods, Mary F. Evans, Christian A. Vossler, Nicholas E. Flores
Hybrid Allocation Mechanisms For Publicly Provided Goods, Mary F. Evans, Christian A. Vossler, Nicholas E. Flores
CMC Faculty Publications and Research
Motivated by efficiency and equity concerns, public resource managers have increasingly utilized hybrid allocation mechanisms that combine features of commonly used price (e.g., auction) and non-price (e.g., lottery) mechanisms. This study serves as an initial investigation of these hybrid mechanisms, exploring theoretically and experimentally how the opportunity to obtain a homogeneous good in a subsequent lottery affects Nash equilibrium bids in discriminative and uniform price auctions. The lottery imposes an opportunity cost to winning the auction, systematically reducing equilibrium auction bids. In contrast to the uniform price auction, equilibrium bids in the uniform price hybrid mechanism vary with bidder risk …
Paul Redding, Or: How I Learned To Stop Worrying So Much About Meaning And Love Hegel’S Metaphysics And Kant’S Epistemic Modesty, James Kreines
Paul Redding, Or: How I Learned To Stop Worrying So Much About Meaning And Love Hegel’S Metaphysics And Kant’S Epistemic Modesty, James Kreines
CMC Faculty Publications and Research
In this interest of time, I’ll just say something directly: this is an incredible book. Reading it, thinking it through, is extremely rewarding. I haven’t read a work of philosophy that had as much impact on me since being in school myself. The book presents you with new ideas and connections and it forces you to see philosophy and its history in new ways, even if you (like me) had been quite attached to your old ways. The book got into my head. Now I find myself, in idle moments, arguing with Paul up there in my head; as if …
Integral Orthogonal Bases Of Small Height For Real Polynomial Spaces, Lenny Fukshansky
Integral Orthogonal Bases Of Small Height For Real Polynomial Spaces, Lenny Fukshansky
CMC Faculty Publications and Research
Let PN(R) be the space of all real polynomials in N variables with the usual inner product < , > on it, given by integrating over the unit sphere. We start by deriving an explicit combinatorial formula for the bilinear form representing this inner product on the space of coefficient vectors of all polynomials in PN(R) of degree ≤ M. We exhibit two applications of this formula. First, given a finite dimensional subspace V of PN(R) defined over Q, we prove the existence of an orthogonal basis for (V, < , >), consisting of polynomials of small height …
Search Bounds For Zeros Of Polynomials Over The Algebraic Closure Of Q, Lenny Fukshansky
Search Bounds For Zeros Of Polynomials Over The Algebraic Closure Of Q, Lenny Fukshansky
CMC Faculty Publications and Research
We discuss existence of explicit search bounds for zeros of polynomials with coefficients in a number field. Our main result is a theorem about the existence of polynomial zeros of small height over the field of algebraic numbers outside of unions of subspaces. All bounds on the height are explicit.
Financial Liberalization And International Capital Flows, Nancy Neiman Auerbach, Yoonmin Kim, Thana Sompornserm
Financial Liberalization And International Capital Flows, Nancy Neiman Auerbach, Yoonmin Kim, Thana Sompornserm
Scripps Faculty Publications and Research
It is interesting that domestic and international financial liberalization are among the most often cited causes of the 1997–98 crisis. Liberalization in the Asian crisis countries took place prior to the crisis as did large capital inflows, many of which reversed during the crisis in the classic pattern of capital flow bonanzas ending in sudden stops (Calvo, Izquierdo, and Mejía 2008; Reinhart and Reinhart 2008; Sula and Willett 2009). Furthermore, China and India, with much less general financial liberalization and a continuing array of capital controls, were little hit by the crisis. Malaysia’s experiment with increasing capital controls during the …
Review: Hankel And Toeplitz Transforms On H¹: Continuity, Compactness And Fredholm Properties, Stephan Ramon Garcia
Review: Hankel And Toeplitz Transforms On H¹: Continuity, Compactness And Fredholm Properties, Stephan Ramon Garcia
Pomona Faculty Publications and Research
No abstract provided.
The Norm And Modulus Of A Foguel Operator, Stephan Ramon Garcia
The Norm And Modulus Of A Foguel Operator, Stephan Ramon Garcia
Pomona Faculty Publications and Research
We develop a method for calculating the norm and the spectrum of the modulus of a Foguel operator. In many cases, the norm can be computed exactly. In others, sharp upper bounds are obtained. In particular, we observe several connections between Foguel operators and the Golden Ratio.
Domestic Radical Islamic Insurgency By Ones And Twos And The Politics Of Self-Delusion, Robert J. Bunker, Hakim Hazim
Domestic Radical Islamic Insurgency By Ones And Twos And The Politics Of Self-Delusion, Robert J. Bunker, Hakim Hazim
CGU Faculty Publications and Research
The contention being made is that governmental officials are downplaying a threat to the US homeland—that compromised of a small, yet virulent, component of domestic radical Islamic insurgency derived from the actions of one and two man cells. While a well intended policy, such actions may be in actuality setting up our nation for some sort of disaster down the road.
Correlates Of Mothers' Value Messages Of Compassion And Caution Over Time, Laura Wray-Lake, Constance A. Flanagan
Correlates Of Mothers' Value Messages Of Compassion And Caution Over Time, Laura Wray-Lake, Constance A. Flanagan
CGU Faculty Publications and Research
No abstract provided.
Abstinence, Vincent L. Wimbush
Abstinence, Vincent L. Wimbush
CGU Faculty Publications and Research
This is an encyclopedia article.
Subjugated Knowledges And Dedisciplinarity In Cultural Studies Pedagogy, Joseph D. Parker
Subjugated Knowledges And Dedisciplinarity In Cultural Studies Pedagogy, Joseph D. Parker
Pitzer Faculty Publications and Research
Discussions of the contested politics of academic fields that have emerged from social movements often emphasize course content while deemphasizing the ways that power circulates through specific sites in the academy. Certainly women's studies, queer studies, and the different ethnic studies fields have struggled to maintain links to the social movements that engendered them. and a concomitant focus on social change. In a more complex fashion, the same is true of postcolonial studies. Similarly, cultural studies may be understood as an academic field emerging from class-based social movements that are affiliated in complex ways with various Marxist analyses whose academic …
Affective Decision-Making Predictive Of Chinese Adolescent Drinking Behaviors, Lin Xiao, Antoine Bechara, Jerry L. Grenard, Alan W. Stacy, Paula Palmer, Yonglan Wei, Yong Jia, Xiaolu Fu, C. Anderson Johnson
Affective Decision-Making Predictive Of Chinese Adolescent Drinking Behaviors, Lin Xiao, Antoine Bechara, Jerry L. Grenard, Alan W. Stacy, Paula Palmer, Yonglan Wei, Yong Jia, Xiaolu Fu, C. Anderson Johnson
CGU Faculty Publications and Research
The goal of the current investigation was to address whether affective decision making would serve as a unique neuropsychological marker to predict drinking behaviors among adolescents. We conducted a longitudinal study of 181 Chinese adolescents in Chengdu city, China. In their 10th grade (ages 15–16), these adolescents were tested for their affective decision-making ability using the Iowa Gambling Task (IGT) and working memory capacity using the Self-Ordered Pointing Test. Self-report questionnaires were used to assess academic performance and drinking behaviors. At 1-year follow-up, questionnaires were completed to assess drinking behaviors, and the UPPS Impulsive Behavior Scale was used to examine …
The Pixtalk Communication System A Smartphone Application And Companion Website For The Improvement Of Communication Skills Of Children With Autism, Gondy Leroy, Gianluca De Leo
The Pixtalk Communication System A Smartphone Application And Companion Website For The Improvement Of Communication Skills Of Children With Autism, Gondy Leroy, Gianluca De Leo
CGU Faculty Publications and Research
No abstract provided.
"No Modern Joshua": Nationalization, Scriptures, And Race, Vincent L. Wimbush
"No Modern Joshua": Nationalization, Scriptures, And Race, Vincent L. Wimbush
CGU Faculty Publications and Research
With the United States as primary context and point of reference, this essay aims to show how inextricably the modern world phenomena of nationalization, scriptures, and race have been inextricably woven together in the United States. The rhetorics and ideological and political orientation of Frederick Douglass offer an analytical wedge. A speech Douglass delivered in Washington, D.C., in 1883 was part of the celebration of the twentieth year of the signing of the Emancipation Proclamation, an event seen as an appropriate and meaning-charged occasion to take stock of the plight of black peoples in the country. His assessment that in …