This collection contains works by faculty from the Dartmouth Department of Mathematics.

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Submissions from 2018

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Evaluating Prose Style Transfer with the Bible, Keith Carlson, Allen Riddell, and Daniel Rockmore

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The Amnesiac Lookback Option: Selectively Monitored Lookback Options and Cryptocurrencies, Ho-Chun Herbert Chang and Kevin Li

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Spillover Modes in Multiplex Games: Double-Edged Effects on Cooperation and their Coevolution, Tommy Khoo, Feng Fu, and Scott Pauls

Submissions from 2017

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Random Walk Null Models for Time Series Data, Daryl DeFord and Katherine Moore

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A dynamical model of the transport of asbestos fibres in the human body, Alisa DeStefano, Clyde F. Martin, and Dorothy I. Wallace

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Leveraging statistical physics to improve understanding of cooperation in multiplex networks, Feng Fu and Xingru Chen

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Dueling Biological and Social Contagions, Feng Fu, Nicholas A. Christakis, and James H. Fowler

Submissions from 2016

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The Complements of Lower Cones of Degrees and the Degree Spectra of Structures, Uri Andrews, Mingzhong Cai, Iskander Sh Kalimullin, Steffen Lempp, Joseph S. Miller, and Antonio Montalban

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DNR and Incomparable Turing Degrees, Minzhong Cai, Noam Greenberg, and Michael Mcinerney

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Locally Convex Words and Permutations, Christopher Coscia and Jonathan DeWitt

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Coevolution of Cooperation and Partner Rewiring Range in Spatial Social Networks, Tommy Khoo, Feng Fu, and Scott Pauls

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A Model for Spheroid Versus Monolayer Response of SK-N-SH Neuroblastoma Cells to Treatment with 15-Deoxy-PGJ 2, Dorothy I. Wallace, Ann Dunham, Paula X. Chen, Michelle Chen, Milan Huynh, Evan Rheingold, and Olivia Prosper

Submissions from 2015

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Spatial Heterogeneity, Host Movement and Mosquito-Borne Disease Transmission, Miguel A. Acevedo, Olivia Prosper, Kenneth Lopiano, Nick Ruktanonchai, T. Trevor Caughlin, Maia Martcheva, Craig W. Osenberg, and David L. Smith

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Spectrally Accurate Quadratures for Evaluation of Layer Potentials Close to the Boundary for the 2D Stokes and Laplace Equations, Alex Barnett, Bowei Wu, and Shravan Veerapaneni

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Robust Fast Direct Integral Equation Solver for Quasi-Periodic Scattering Problems with a Large Number of Layers, Min Hyung Cho and Alex H. Barnett

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Comparing the strength of diagonally non-recursive functions in the absence of Σ02 induction, Francois G. Dorais, Jeffry L. Hirst, and Paul Shafer

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A Fast Algorithm for Simulating Multiphase Flows Through Periodic Geometries of Arbitrary Shape, Gary R. Marple, Alex Barnett, Adrianna Gillman, and Shravan Veerapaneni

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Robust and Efficient Solution of the Drum Problem via Nyström Approximation of the Fredholm Determinant, Lin Zhao and Alex Barnett

Submissions from 2014

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Rational Linear Spaces on Hypersurfaces over Quasi-Algebraically Closed Fields, Todd Cochrane, Craig V. Spencer, and Hee-Sung Yang

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A Direct Solver with O(N) Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method, A. Gillman and P. G. Martinsson

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A Comparison of Five Malaria Transmission Models: Benchmark Tests and Implications for Disease Control, Dorothy I. Wallace, Ben S. Southworth, Xun Shi, Jonathan W. Chipman, and Andrew K. Githeko

Submissions from 2013

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Ramsey Properties of Countably Infinite Partial Orderings, Marcia J. Groszek

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Orienteering in Knowledge Spaces: The Hyperbolic Geometry of Wikipedia Mathematics, Gregory Leibon and Daniel N. Rockmore

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Properties of tumor spheroid growth exhibited by simple mathematical models, Dorothy I. Wallace and Xinyue Guo

Submissions from 2012

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Fixed Points and Excedances in Restricted Permutations, Sergi Elizalde

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Quantitative Patterns of Stylistic Influence in the Evolution of Literature, James M. Hughes, Nicholas J. Foti, David C. Krakauer, and Daniel N. Rockmore

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Measures of Centrality Based on the Spectrum of the Laplacian, Scott D. Pauls and Daniel Remondini

Submissions from 2011

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Boundary Quasi-Orthogonality and Sharp Inclusion Bounds for Large Dirichlet Eigenvalues, A. H. Barnett and A. Hassell

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Partition Decoupling for Multi-Gene Analysis of Gene Expression Profiling Data, Rosemary Braun, Gregory Leibon, Scott Pauls, and Daniel Rockmore

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Nonparametric Sparsification of Complex Multiscale Networks, Nicholas J. Foti, James M. Hughes, and Daniel N. Rockmore

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Time Optimal Control in Spin Systems, Navin Khaneja, Roger Brockett, and Steffen J. Glaser

Submissions from 2010

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An Exponentially Convergent Nonpolynomial Finite Element Method for Time-Harmonic Scattering from Polygons, A. H. Barnett and T. Betcke

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Improved IBD Detection Using Incomplete Haplotype Information, Giulio Genovese, Gregory Leibon, Martin R. Pollak, and Daniel N. Rockmore

Submissions from 2009

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Counting 1324, 4231-Avoiding Permutations, Michael H. Albert, M. D. Atkinson, and Vincent Vatter

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Perturbative Analysis of the Method of Particular Solutions for Improved Inclusion of High-Lying Dirichlet Eigenvalues, A. H. Barnett

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Submodular Percolation, Graham R. Brightwell and Peter Winkler

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Almost Avoiding Permutations, Robert Brignall, Shalosh B. Ekhad, Rebecca Smith, and Vincent Vatter

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Statistical Hypothesis Testing for Postreconstructed and Postregistered Medical Images, Eugene Demidenko

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The Number of Permutations Realized By a Shift, Sergi Elizalde

Submissions from 2008

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Inverse Spectral Results on Even Dimensional Tori, Carolyn Gordon, Pierre Guerini, Thomas Kappeler, and David Webb

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Topological Structures in the Equities Market Network, Gregory Leibon, Scott Pauls, Daniel Rockmore, and Robert Savell

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A Sharp Bound for the Reconstruction of Partitions, Vincent Vatter

Submissions from 2007

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The Power of Strong Fourier Sampling: Quantum Algorithms for Affine Groups and Hidden Shifts, Cristopher Moore, Daniel Rockmore, Alexander Russell, and Leonard J. Schulman

Submissions from 2006

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Duan's Fixed Point Theorem: Proof and Generalization, Martin Arkowitz

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Fluid-Solid Transition in a Hard-Core System, Lewis Bowen, Russell Lyons, Charles Radin, and Peter Winkler

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A Solidification Phenomenon in Random Packings, L. Bowen, R. Lyons, C. Radin, and P. Winkler

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Lowness and Π nullsets, Rod Downey, Andre Nies, Rebecca Weber, and Liang Yu

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The Zeta Function of a Hypergraph, Christopher K. Storm

Submissions from 2005

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Monomial Nonnegativity and the Bruhat Order, Brian Drake, Sean Gerrish, and Mark Skandera

Submissions from 2004

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Two New Criteria for Comparison in the Bruhat Order, Brian Drake, Sean Gerrish, and Mark Skandera

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Computing Isotypic Projections with the Lanczos Iteration, David K. Maslen, Michael E. Orrison, and Daniel N. Rockmore

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A Notion of Rectifiability Modeled on Carnot Groups, Scott D. Pauls

Submissions from 2003

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Boundary Volume and Length Spectra of Riemannian Manifolds: What the Middle Degree Hodge Spectrum Doesn't Reveal, Carolyn S. Gordon and Juan P. Rossetti

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Simplicity of Ultragraph Algebras, Mark Tomforde

Submissions from 2002

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Central Twisted Transformation Groups and Group C*-algebras of Central Group Extensions, Siegfried Echterhoff and Dana P. Williams

Submissions from 2001

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An Almost Deep Degree, Peter Cholak, Marcia Groszek, and Theodore Slaman

Submissions from 1999

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A Short Proof that ‘Proper = Unit’, Kenneth P. Bogart and Douglas B. West

Submissions from 1998

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Proper and Unit Bitolerance Orders and Graphs, Kenneth P. Bogart and Garth Isaak

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Isospectral Deformations of Closed Riemannian Manifolds with Different Scalar Curvature, Carolyn S. Gordon, Ruth Gornet, Dorothee Schueth, and David L. Webb

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A Basis Theorem for Perfect Sets, Marcia J. Groszek and Theodore A. Slaman

Submissions from 1994

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A Special Class of Almost Disjoint Families, Thomas E. Leathrum

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Contrast Enhancement of Medical Images using Multiscale Edge Representation, Jian Lu, Dennis M. Healy Jr., and John B. Weaver

Submissions from 1993

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Decay of the Relative Error in the Formation of Acoustic Bullets, Harry E. Moses and Reese T. Prosser

Submissions from 1991

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Moore Cohomology, Principal Bundles, and Actions of Groups on c*-algebras, Ian Raeburn and Dana P. Williams

Submissions from 1980

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Incidence Codes of Posets: Eulerian Posets and Reed-Muller Codes, Kenneth P. Bogart

Submissions from 1923

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The equilong transformations of euclidean space, B. H. Brown

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Differential geometry of an m-dimensional manifold in a euclidean space of n dimensions, Charles E. Wilder

Submissions from 1921

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On the generalization of certain fundamental formulas of the mathematical theory of finance, C. H. Forsyth

Submissions from 1918

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On the group of isomorphisms of a certain extension of an abelian group, Louis C. Mathewson

Submissions from 1916

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On the measurable bounds and the distribution of functional values of summable functions, Charles N. Haskins

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The geometries associated with a certain system of cremona groups, John Wesley Young and Frank Millett Morgan

Submissions from 1915

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On the zeros of the function, p(x), complementary to the incomplete gamma function, Charles N. Haskins

Submissions from 1913

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Concerning The Property A of A Class of Functions, A. D. Pitcher

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Three or more rational curves collinearly related, Joseph E. Rowe

Submissions from 1912

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Bicombinants of the rational plane quartic and combinant curves of the rational plane quintic, J. I. Rowe