#### Submissions from 2013

Constructing a 3-tree for a 3-connected matroid, James Oxley and Charles Semple

Atomistic Subsemirings of the Lattice of Subspaces of an Algebra, Daniel S. Sage

Distributions in spaces with thick points, Yunyun Yang and Ricardo Estrada

Extension of Frahm formulas for ∂i∂i(1/r), Yunyun Yang and Ricardo Estrada

Regularization using different surfaces and the second-order derivatives of 1/r, Yunyun Yang and Ricardo Estrada

#### Submissions from 2012

Filling loops at infinity in the mapping class group, Aaron Abrams, Noel Brady, Pallavi Dani, Moon Duchin, and Robert Young

The structure of the 4-separations in 4-connected matroids, Jeremy Aikin and James Oxley

Multiscale dynamics of heterogeneous media in the peridynamic formulation, Bacim Alali and Robert Lipton

New bounds on local strain fields inside random heterogeneous materials, Bacim Alali and Robert Lipton

Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces, Yuri A. Antipov, Ricardo Estrada, and Boris Rubin

Schwarz methods for a preconditioned WOPSIP method for elliptic problems, Paola F. Antonietti, Blanca Ayuso De Dios, Susanne C. Brenner, and Li Yeng Sung

Cube diagrams and 3-dimensional reidemeister-like moves for knots, Scott Baldridge and Adam M. Lowrance

Super-exponential 2-dimensional Dehn functions, Josh Barnard, Noel Brady, and Pallavi Dani

Bandwidth of trees of diameter at most 4, Mark Bilinski, Kwang Ju Choi, Deborah Chun, Guoli Ding, Stan Dziobiak, Rodrigo Farnham, Perry Iverson, Shirley Leu, and Lisa Warshauer Lowrance

Fracture, B. Bourdin and G. A. Francfort

A variational approach to the numerical simulation of hydraulic fracturing, Blaise Bourdin, Chukwudi Chukwudozie, and Keita Yoshioka

Gibbs measure evolution in radial nonlinear wave and Schrödinger equations on the ball, Jean Bourgain and Aynur Bulut

Isomonodromic Deformations of Connections with Singularities of Parahoric Formal Type, Christopher L. Bremer and Daniel S. Sage

Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell's equations, S. C. Brenner, J. Cui, Z. Nan, and L. Y. Sung

C ^{0} interior penalty methods, Susanne C. Brenner

Finite element approximations of the three dimensional Monge-Ampère equation, Susanne Cecelia Brenner and Michael Neilan

A quadratic C ^{o} interior penalty method for linear fourth order boundary value problems with boundary conditions of the Cahn-Hilliard type, Susanne C. Brenner, Shiyuan Gu, Thirupathi Gudi, and Li Yeng Sung

Higher order weakly over-penalized symmetric interior penalty methods, Susanne C. Brenner, Luke Owens, and Li Yeng Sung

A quadratic C^{0} interior penalty method for the displacement obstacle problem of clamped kirchhoff plates, Susanne C. Brenner, Li Yeng Sung, Hongchao Zhang, and Yi Zhang

Finite element methods for the displacement obstacle problem of clamped plates, Susanne C. Brenner, Li Yeng Sung, and Yi Zhangy

An iterative substructuring algorithm for a C^{0} interior penalty method, Susanne C. Brenner and Kening Wang

Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation, Aynur Bulut

Weyl transform and generalized spectrogram associated with quaternion Heisenberg group, Li Chen

The maximum-weight stable matching problem: Duality and efficiency, Xujin Chen, Guoli Ding, Xiaodong Hu, and Wenan Zang

Bonds with parity constraints, Xujin Chen, Guoli Ding, Xingxing Yu, and Wenan Zang

Towards a splitter theorem for internally 4-connected binary matroids, Carolyn Chun, Dillon Mayhew, and James Oxley

Capturing matroid elements in unavoidable 3-connected minors, Deborah Chun, James Oxley, and Geoff Whittle

A chain theorem for 3 ^{+}-connected graphs, Guoli Ding and Cheng Liu

The set of singularities of regulated functions in several variables, Ricardo Estrada

Surface vacuum energy in cutoff models: Pressure anomaly and distributional gravitational limit, Ricardo Estrada, Stephen A. Fulling, and Fernando D. Mera

Exterior Euler summability, Ricardo Estrada and Jasson Vindas

On distributional point values and boundary values of analytic functions, Ricardo Estrada and Jasson Vindas

On Tauber's second Tauberian theorem, Ricardo Estrada and Jasson Vindas

A general integral, R. Estrada and J. Vindas

Tracking and robustness analysis for UAVs with bounded feedbacks, Aleksandra Gruszka, Michael Malisoff, and Frederic Mazenc

Tracking control and robustness analysis for planar vertical takeoff and landing aircraft under bounded feedbacks, Aleksandra Gruszka, Michael Malisoff, and Frédéric Mazenc

Jacobsthal identity for Q(√ - 2), Ki Ichiro Hashimoto, Ling Long, and Yifan Yang

On l-adic representations for a space of noncongruence cuspforms, Jerome William Hoffman, Ling Long, and Helena Verrill

Rational inversion of the Laplace transform, Patricio Jara, Frank Neubrander, and Koray Özer

On the trace of the antipode and higher indicators, Yevgenia Kashina, Susan Montgomery, and Siu Hung Ng

Extending algebraic operations to D -completions, Klaus Keimel and Jimmie D. Lawson

Weighted geometric means, Jimmie Lawson, Hosoo Lee, and Yongdo Lim

A Lipschitz constant formula for vector addition in cones with applications to Stein-like equations, Jimmie Lawson and Yongdo Lim

Representation formulas for L norms of weakly convergent sequences of gradient fields in homogenization, Robert Lipton and Tadele Mengesha

Multi-scale quasistatic damage evolution for polycrystalline materials, Robert Lipton, Michael Stuebner, and Yuanjie Lua

Fourier coefficients of noncongruence cuspforms, Wen Ching Winnie Li and Ling Long

Stability and robustness analysis for curve tracking control using input-to-state stability, Michael Malisoff, Frédéric Mazenc, and Fumin Zhang

Adaptive controllers and robustness analysis for curve tracking with unknown control gains, Michael Malisoff and Fumin Zhang

Stabilization for feedforward systems with delay in the input, Frederic Mazenc and Michael Malisoff

Stability and stabilization for models of chemostats with multiple limiting substrates, Frédéric Mazenc and Michael Malisoff

Ramanujan's Master Theorem for Riemannian symmetric spaces, Gestur Ólafsson and Angela Pasquale

The Cos^{λ} and Sin^{λ} transforms as intertwining operators between generalized principal series representations of SL(n+1,K), Gestur Ólafsson and Angela Pasquale

On low-dimensional manifolds with isometric SO 0(p, q)-actions, Gestur Ólafsson and Raul Quiroga-Barranco

An upgraded Wheels-and-Whirls Theorem for 3-connected matroids, James Oxley, Charles Semple, and Geoff Whittle

Towards a resolution of the reference pressure controversy in cerebrospinal fluid flow dynamics, Kalyan Raman and P. Sundar

Twisted Frobenius-Schur indicators for Hopf algebras, Daniel S. Sage and Maria D. Vega

#### Submissions from 2011

L^{2}-Global to local projection: An approach to multiscale analysis, Ivo Babuska and Robert Lipton

Optimal local approximation spaces for generalized finite element methods with application to multiscale problems, Ivo Babuska and Robert Lipton

Two-level additive schwarz preconditioners for a weakly over-penalized symmetric interior penalty method, A. T. Barker, S. C. Brenner, E. H. Park, and L. Y. Sung

Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems, A. T. Barker, S. C. Brenner, and L. Y. Sung

A time-discrete model for dynamic fracture based on crack regularization, Blaise Bourdin, Christopher J. Larsen, and Casey L. Richardson

Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes, S. C. Brenner, J. Cui, T. Gudi, and L. Y. Sung

C^{0} penalty methods for the fully nonlinear Monge-Ampère equation, Susanne C. Brenner, Thirupathi Gudi, Michael Neilan, and Li Yeng Sung

A C^{0} interior penalty method for a fourth order elliptic singular perturbation problem, Susanne C. Brenner and Michael Neilan

A cubic analogue of the jacobsthal identity, Heng Huat Chan, Ling Long, and Yi Fan Yang

On Hopf algebras of dimension 4p, Yi Lin Cheng and Siu Hung Ng

Coorbit spaces for dual pairs, Jens Gerlach Christensen and Gestur Ólafsson

A chain theorem for internally 4-connected binary matroids, Carolyn Chun, Dillon Mayhew, and James Oxley

Unavoidable parallel minors of regular matroids, Carolyn Chun and James Oxley

Turaev genus, knot signature, and the knot homology concordance invariants, Oliver T. Dasbach and Adam M. Lowrance

Large non-planar graphs and an application to crossing-critical graphs, Guoli Ding, Bogdan Oporowski, Robin Thomas, and Dirk Vertigan

Convergent power series for fields in positive or negative high-contrast periodic media, Santiago P. Fortes, Robert P. Lipton, and Stephen P. Shipman

Preface, Gary Gordon and James Oxley

On tracking for the PVTOL model with bounded feedbacks, Aleksandra Gruszka, Michael Malisoff, and Frédéric Mazenc

Symmetric subgroup actions on isotropic Grassmannians, Huajun Huang and Hongyu He

Smooth Bruck loops, symmetric spaces, and nonassociative vector spaces, Sejong Kim and Jimmie Lawson

The matrix geometric mean of parameterized, weighted arithmetic and harmonic means, Sejong Kim, Jimmie Lawson, and Yongdo Lim

Stably compact spaces, Jimmie Lawson

Monotonic properties of the least squares mean, Jimmie Lawson and Yongdo Lim

Hypergeometric evaluation identities and supercongruences, Ling Long

Composition-closed ℓ-groups of almost-piecewise-linear functions, James J. Madden

Henriksen and isbell on f-rings, James J. Madden

Input-to-state stability for curve tracking control: A constructive approach, Michael Malisoff, Frédéric Mazenc, and Fumin Zhang

The excluded minors for the class of matroids that are binary or ternary, Dillon Mayhew, Bogdan Oporowski, James Oxley, and Geoff Whittle

The excluded minors for the class of matroids that are binary or ternary, Dillon Mayhew, Bogdan Oporowski, James Oxley, and Geoff Whittle

Uniform global asymptotic stability of adaptive cascaded nonlinear systems with unknown high-frequency gains, Frdric Mazenc, Michael Malisoff, and Marcio De Queiroz

Discussion on: "On a small gain theorem for ISS networks in dissipative lyapunov form", Frederic Mazenc and Michael Malisoff

On stability and stabilization for chemostats with many limiting nutrients, Frédéric Mazenc and Michael Malisoff

Tracking control and robustness analysis for a nonlinear model of human heart rate during exercise, Frédéric Mazenc, Michael Malisoff, and Marcio De Querioz

Fourier transforms of spherical distributions on compact symmetric spaces, Gestur Ólafsson and Henrik Schlichtkrull

On bipartite restrictions of binary matroids, James Oxley

Exposing 3-separations in 3-connected matroids, James Oxley, Charles Semple, and Geoff Whittle

Advanced Calculus: An Introduction to Linear Analysis, Leonard F. Richardson

An Explicit basis of lowering Operators for Irreducible Representations of Unitary Groups, D. S. Sage and L. Smolinsky

#### Submissions from 2010

Putzer's algorithm for e ^{At} via the Laplace transform, William A. Adkins and Mark G. Davidson