#### Dissertations from 2015

Nonlocal Interaction Equations in Heterogeneous and Non-Convex Environments, Lijiang Wu

#### Dissertations from 2014

Combinatorial Interpretations Of Generalizations Of Catalan Numbers And Ballot Numbers, Emily Allen

Advances In Classification Theory For Abstract Elementary Classes, Will Boney

Covering Matrices, Squares, Scales, and Stationary Reflection, Christopher Lambie-Hanson

Numerical Approximation of Valuation Equations Incorporating Stochastic Volatility Models, Yuhui Ouyang

Properties of Minimizers of Nonlocal Interaction Energy, Robert Simione

#### Dissertations from 2013

Kernel Selection for Convergence and Efficiency in Markov Chain Monte Carol, Christopher C. J. Potter

Topics in algorithmic randomness and computable analysis, Jason Rute

#### Dissertations from 2012

Mandrel-based Polishing of Single-Crystal Diamond and Ceramics for Fabrication of Micro-endmills: Analysis of the Polishing Characteristics and the Error Motions of Ultra-High-Speed Micromachining Spindles, Krishna Prashanth Anandan

Limits, Regularity and Removal for Relational and Weighted Structures, Ashwini Aroskar

Necessary and Sufficient Conditions in the Problem of Optimal Investment with Intermediate Consumption, Oleksii Mostovyi

Evolution and Regularity Results for Epitaxially Strained Thin Films and Material Voids, Paulo Piovano

#### Dissertations from 2011

Spectral and Homogenization Problems, Rita Alexandria Goncalves-Ferreira

A Conceptual Framework for Problems in Elastostatics, Walter Noll

Optimal Execution in a General One-Sided Limit-Order Book and Endogenous Dynamic Completeness of Financial Models, Silviu Nicolae Predoiu

Characterization of Sobolev and BV Spaces, Daniel Spector

Results in Extremal Graph and Hypergraph Theory, Zelealem Belaineh Yilma

Horizon Dependence of Utility Optimizers in Incomplete Models, Hang Yu

#### Dissertations from 2010

Analysis for the Beginning Mathematician, Michael Klipper

Frame-Free Continuum Thermomechanics, Brian Seguin

Some Applications of Recursive Functionals to the Foundations of Mathematics and Physics, Matthew P. Szudzik

#### Submissions from 2009

The Future of Scientific Publication, Walter Noll

Thoughts on the Concept of Stress, Walter Noll

Thoughts on Thermomechanics, Walter Noll

Basic Concepts of Thermomechanics, Walter Noll and Brian Seguin

#### Submissions from 2008

On the Conjugacy of Orthogonal Groups, Walter Noll

Plugs in Viscometric Flows of Simple Semi-liquids, Walter Noll and Brian Seguin

#### Submissions from 2007

On the concept of force, Walter Noll

Monoids, Boolean Algebras, Materially Ordered Sets, Walter Noll and Brian Seguin

#### Submissions from 2006

Finite-Dimensional Spaces: Algebra, Geometry, and Analysis Volume I, Walter Noll

What is Mathematics all about?, Walter Noll

#### Submissions from 2005

A Frame-Free Formulation of Elasticity, Walter Noll

On the Past and Future of Natural Philosophy, Walter Noll

On the Theory of Surface Interactions, Walter Noll

#### Submissions from 1999

The D-rank is equal to the R-rank, Rami Grossberg

xMPS, the extended MPS format for non-linear programs, Erlendeur S. Thorstinsson

#### Submissions from 1998

Construction of a class of integral models for heat flow in materials with memory, Deborah Brandon and W Hrusa

Structured deformations as energy minimizers in models of fracture and hysteresis, Rustum Choksi

Manifold constrained variational problems, B Dacarogna

On random regular graphs with non-constant degree, Frieze

A primer of simple theories, Rami Grossberg, Jose╠ü Iovino, and Olivier Lessmann

Forking in pregeometries., Rami Grossberg and Olivier Lessmann

Remarks on local stability and the local order property, Rami Grossberg and Olivier Lessmann

Shelah's stability spectrum and homogeneity spectrum in finite diagrams, Rami Grossberg and Olivier Lessmann

Indiscernible sequences in Banach space geometry, Jose╠ü Iovino

Stable models and reflexive Banach spaces, Jose╠ü Iovino

Microstructural evolution and metastability in active materials, David Kinderlehrer

Regressive Ramsey numbers are Ackermannian, Menachem Kojman and Saharon Shelah

The condition in the trichotomy theorem is optimal, Menachem Kojman and Saharon Shelah

Forking in pregeometries., Olivier Lessmann

Marginalia to a theorem of Jacopini, Richard Statman

A new approach to Young measure theory relaxation and convergence in energy, M. A. Sychev

Characterization of homogeneous gradient Young measures in the case of arbitrary integrands, M. A. Sychev

A primal-dual variant of the Iri-Imai algorithm for linear programming, Reha H. Tu╠êtu╠êncu╠ê

#### Submissions from 1997

Regularity of minimizers for a class of membrane energies, Emilio Acerbi, Irene Fonseca, and Nicola Fusco

Rational comparison of probabilities via a blow-up conjugacy, Sergio A. Alvarez

Motion of a closed curve by minus the surface Laplacian of curvature, Sergio A. Alvarez and Chun Liu

A calculus and a system architecture for extensional higher-order resolution, Christoph Benzmu╠êller

A global method for relaxation, Guy Bouchitte╠ü, Irene Fonseca, and Luisa Mascarenhas

Bulk and contact energies : nucleation and relaxation, Irene Fonseca and Giovanni Leoni

Oscillations in one-dimensional elasticity with surface energy, Irene Fonseca, Jack Schaeffer, and Mikhail M. Shvartsman

Rules and reals, Martin Goldstern and Menachem Kojman

On the long-time behavior of ferroelectric and ferromagnetic systems, James M. Greenberg, Richard C. MacCamy, and C. V.(Charles Vernon) Coffman

Antiplane shear flows in visco-plastic solids exhibiting isotropic and kinematic hardening, James M. Greenberg and David R. Owen

Remarks about metastability, Richard Jordan, David Kinderlehrer, and Felix Otto

Statistical mechanics of organized structures in two-dimensional magnetofluid turbulence, Richard Jordan and Bruce Turkington

Exact upper bounds and their uses in set theory, Menachem Kojman

Ranks and pregeometries in finite diagrams, Olivier Lessmann

Approximation of liquid crystal flows, Chun Liu and Noel Walkington

The Role of the Professor, Walter Noll

A difference scheme for the Vlasov-Poisson-Fokker-Planck system, Jack Schaeffer

On cardinalities in quotients of inverse limits of groups, Saharon Shelah and Rami Grossberg

Morphisms and partitions of V-sets, Richard Statman

Characterization of homogeneous scalar variational problems solvable for all boundary data, M. A. Sychev

Approximation of H-measures, Luc Tartar

Homogenization and hyperbolicity, Luc Tartar

#### Submissions from 1996

Regularity results for equilibria in a variational model for fracture, Emilio Acerbi, Irene Fonseca, and Nicola Fusco

The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent, Guy Bouchitte╠ü, Irene Fonseca, and Jan Maly╠ü

Non-linear elliptic systems with measure-valued right hand side, Georg Dolzmann, Norbert Hungerbu╠êhler, and Stefan Mu╠êhler

Convergence of a multigrid method for elliptic equations with highly oscillatory coefficients, Engquist and Erding Luo

New coarse grid operators for highly oscillatory coefficient elliptic problems, Engquist and Erding Luo

The multigrid method based on a wavelet transformation and Schur complement, Engquist and Erding Luo

Finite models, stability and Ramsey's theorem, Douglas E. Ensley and Rami Grossberg

Analysis of concentration and oscillation effects generated by gradients, Irene Fonseca, Stefan Mu╠êller, and Pedregal

On the dynamics of crystalline motion, Yoshikazu Giga, Morton E. Gurtin, and Jose╠ü Matias

On a Γ-limit of a family of anisotropic singular perturbation, Dmitry Golovaty

On the asymptotic behavior of the equations describing the motion of an incompressible binary fluid, Dmitry Golovaty

Elastic phase transitions : a new model, James M. Greenberg

Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving, Morton E. Gurtin and Paolo Podio-Guidugli

Regularity and convergence of crystalline motion, Katsuyuki Ishii and H. Mete. Soner

Modeling magnetostrictive microstructure under loading : and, Simulation of magnetoelastic systems, Richard James, David Kinderlehrer, and Ling Ma

Categories of relations and functional relations, Romaine D. Jayewardene and Oswald Wyler

Free energy and the Fokker-Planck equation, Richard Jordan, David Kinderlehrer, and Felix Otto

The variational formulation of the Fokker-Planck equation, Richard Jordan, David Kinderlehrer, and Felix Otto

The variational formulation of the Fokker-Planck equation : a summary, Richard Jordan, David Kinderlehrer, and Felix Otto

Revisiting the focal conic structures in smetic [i.e, smectic] A, David Kinderlehrer and Chun Liu