#### Dissertations from 2016

Optimal Investment and Pricing in Models where the Underlying Asset May Default, Fetsuya Ishikawa

#### Submissions from 2015

Rainbow Matchings and Hamilton Cycles in Random Graphs, Deepak Bal and Alan Frieze

A model for a large investor trading at market indifference prices. II: Continuous-time case, Peter Bank and Dmitry Kramkov

A note on the random greedy independent set algorithm, Patrick Bennett and Tom Bohman

Dynamics for Systems of Screw Dislocations, Timothy Blass, Irene Fonseca, Giovanni Leoni, and Marco Morandotti

Forking in Short and Tame Abstract Elementary Classes, Will Boney and Rami Grossberg

Canonical forking in AECs, Will Boney, Rami Grossberg, Alexei Kolesnikov, and Sebastien Vasey

μ-Abstract Elementary Classes and other generalizations, Will Boney, Rami Grossberg, Michael Lieberman, Jiri Rosicky, and Sebastien Vasey

Oxyfuel Carbon Capture for Pulverized Coal: Techno - Economic Model Creations and Evaluation Amongst Alternatives, Kyle James Borgert

3D-2D Dimension Reduction of Homogenized Thin Films, Laura Bufford

An improvement of the Beck-Fiala theorem, Boris Bukh

Bounds on equiangular lines and on related spherical codes, Boris Bukh

Random algebraic construction of extremal graphs, Boris Bukh

Ranks of matrices with few distinct entries, Boris Bukh

Rational exponents in extremal graph theory, Boris Bukh and David Conlon

An improved bound on the fraction of correctable deletions, Boris Bukh and Venkatesan Guruswami

Twins in words and long common subsequences in permutations, Boris Bukh and Lidong Zhou

Information and Trading Targets in a Dynamic Market Equilibrium, Jin Hyuk Choi, Kasper Larsen, and Duane J. Seppi

Vacant sets and vacant nets: Component structures induced by a random walk, Colin Cooper and Alan Frieze

Coagulation-fragmentation model for animal group-size statistics (15-CNA-017), Pierre Degond, Jian-Guo Liu, and Robert Pego

Embedding the Erdos-Renyi Hypergraph into the Random Regular Hypergraph and Hamiltonicity, Andrzej Dudek, Alan Frieze, Andrzej Rucinski, and Matas Sileikis

Elegantly colored paths and cycles in edge colored random graphs, Lisa Espig, Alan Frieze, and Michael Krivelevich

Walker-Breaker games, Lisa Espig, Alan Frieze, Michael Krivelevich, and Wesley Pegden

Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization, Irene Fonseca, Nicola Fusco, Giovanni Leoni, and Massimiliano Morini

Domain formation in membranes near the onset of instability (15-CNA-004), Irene Fonseca, Gurgen Hayrapetyan, Giovanni Leoni, and Barbara Zwicknagl

Regularity in Time for Weak Solutions of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces, Irene Fonseca, Giovanni Leoni, and Yin Yan Lu

Minimum-cost matching in a random bipartite graph with random costs, Alan Frieze and Tony Johansson

On edge disjoint spanning trees in a randomly weighted complete graph, Alan Frieze and Tony Johansson

On random k-out sub-graphs of large graphs, Alan Frieze and Tony Johansson

On the trace of random walks on random graphs, Alan Frieze, Michael Krivelevich, Peleg Michaeli, and Ron Peled

On-line List Colouring of Random Graphs, Alan Frieze, Dieter Mitsche, Xavier Perez-Giminez, and Pawel Pralat

Looking for vertex number one, Alan Frieze and Wesley Pegden

Separating subadditive Euclidean functionals, Alan Frieze and Wesley Pegden

Stability of Vortex Solutions to an Extended Navier-Stokes System, Gung-Min Gie, Christopher Henderson, Gautam Iyer, Landon Kavlie, and Jared Whitehead

Superstability in abstract elementary classes, Rami Grossberg and Sebastien Vasey

Some Results on Classical Semantics and Polymorphic Types, William J. Gunther

Sparse Grid Combination Techniques for Solving High-Dimensional Parabolic Equations with an Application to the LIBOR Market Model, Justin Hausauer

Limit theorems for Smoluchowski dynamics associated with critical continuous-state branching processes, Gautam Iyer, Nicholas Leger, and Robert Pego

Anomalous diffusion in fast cellular flows at intermediate time scales, Gautam Iyer and Alexei Novikov

The compressible viscous surface-internal wave problem: local well-posedness, Juhi Jang, Ian Tice, and Yanjin Wang

The compressible viscous surface-internal wave problem: nonlinear Rayleigh-Taylor instability, Juhi Jang, Ian Tice, and Yanjin Wang

The compressible viscous surface-internal wave problem: stability and vanishing surface tension limit, Juhi Jang, Ian Tice, and Yanjin Wang

Decision Diagrams for Combinatorial Optimization and Satisfaction, Brian Kell

An expansion in the model space in the context of utility maximization, Kasper Larsen, Oleksii Mostovyi, and Gordan Zitkovic

Radner equilibrium in incomplete Levy models, Kasper Larsen and Tanawit Sae Sue

Second-Order Γ-limit for the Cahn–Hilliard Functional, Giovanni Leoni and Ryan Murray

Directed paths: from Ramsey to Ruzsa and Szemeredi, Po-Shen Loh

Cops and robbers on planar directed graphs, Po-Shen Loh and Siyoung Oh

Polynomial Decay to Equilibrium for the Becker-Döring Equations (15-CNA-018), Ryan Murray and Robert Pego

Integrating Relaxations for Combinatorial Optimization, Marla Slusky

Variational Limits of Graph Cuts on Point Clouds, Nicolás Garcia Trillos

A variational approach to the consistency of spectral clustering, Nicolás Garcia Trillos and Dejan Slepcev

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

Limits, Regularity and Removal for Finite Structures, Ashwini Aroskar and James Cummings

Rainbow arborescence in random digraphs, Deepak Bal, Patrick Bennett, Colin Cooper, Alan Frieze, and Pawel Pralat

Power of k choices and rainbow spanning trees in random graphs, Deepak Bal, Patrick Bennett, Alan Frieze, and Pawel Pralat

Packing Tree Factors in Random and Pseudo-Random Graphs, Deepak Bal, Alan Frieze, Michael Krivelevich, and Po-Shen Loh

Maker-Breaker games on random geometric graphs, Andrew Beveridge, Andrzej Dudek, Alan Frieze, Tobias Muller, and Milos Stojakovic

Advances In Classification Theory For Abstract Elementary Classes, Will Boney

A bound on the number of edges in graphs without an even cycle, Boris Bukh and Zilin Jiang

Longest Common Subsequences in Sets of Words, Boris Bukh and Jie Ma

Nonlocal-interaction equations on uniformly prox-regular sets, Jose A. Carrillo, Dejan Slepcev, and Lijiang Wu

Taylor approximation of incomplete Radner equilibrium models, Jin Hyuk Choi and Kasper Larsen

Analyzing Walksat on Random Formulas, Amin Coja-Oghlan and Alan Frieze

Definable cardinals just beyond R/Q, Clinton T. Conley and Benjamin D. Miller

A Note on the Vacant Set of Random Walks on the Hypercube and Other Regular Graphs of High Degree, Colin Cooper and Alan Frieze

Long paths in random Apollonian networks, Colin Cooper and Alan Frieze

Cover time of a random graph with a degree sequence II: Allowing vertices of degree two, Colin Cooper, Alan Frieze, and Eyal Lubetzky

The height of random k-trees and related branching processes, Colin Cooper, Alan Frieze, and Ryuhei Uehara

A framework for forcing constructions at successors of singular cardinals, James Cummings, Mirna Dzamonja, Menachim Magidor, Charles Morgan, and Saharon Shelah

Small Universal Families of Graphs on ℵ_{ω+1}, James Cummings, Mirna Dzamonja, and Charles Morgan

Bounded Stationary Reflection, James Cummings and Chris Lambie-Hanson

Second Order Asymptotic Development for the Anisotropic Cahn-Hilliard Functional, Gianni Dal Masso, Irene Fonseca, and Giovanni Leoni

On the chromatic number of a random hypergraph, Martin Dyer, Alan Frieze, and Catherine Greenhill

The critical window for the classical Ramsey-Turán problem, Jacob Fox, Po-Shen Loh, and Yufei Zhang

Expanders via Random Spanning Trees, Alan Frieze, Navin Goyal, Luis Rademacher, and Santosh Vempala

On the Game Chromatic Number of Sparse Random Graphs, Alan Frieze, Simcha Haber, and Mikhail Lavrov

Between 2- and 3-colorability, Alan Frieze and Wesley Pegden

Traveling in randomly embedded random graphs, Alan Frieze and Wesley Pegden

Maximizing the Number of Independent Sets of a Fixed Size, Wenyang Gan, Po-Shen Loh, and Benny Sudakov

Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows, Gautam Iyer, Alexander Kiselev, and Xiaoqian Xu

Passive scalars, moving boundaries, and Newton's law of cooling, Juhi Jang and Ian Tice

Existence of an endogenously complete equilibrium driven by a diffusion, Dmitry Kramkov

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

Hamiltonian increasing paths in random edge orderings, Mikhail Lavrov and Po-Shen Loh

Judicious partitions of directed graphs, Choongbum Lee, Po-Shen Loh, and Benny Sudakov

On generating functions of Hausdorff moment sequences (14-CNA-001), Jian-Guo Liu and Robert Pego

Diameter critical graphs, Po-Shen Loh and Jie Ma

Average-distance problem for parameterized curves, Xin Yang Lu and Dejan Slepcev

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

Properties of Minimizers of Nonlocal Interaction Energy, Robert Simione

Existence of Ground States of Nonlocal-Interaction Energies, Robert Simione, Dejan Slepcev, and Ihsan Topaloglu

On the rate of convergence of empirical measures in ∞-transportation distance, Nicolás Garcia Trillos

Continuum limit of total variation on point clouds, Nicolás Garcia Trillos and Dejan Slepcev

Consistency of Cheeger and Ratio Graph Cuts, Nicolás Garcia Trillos, Dejan Slepcev, James von Brecht, Thomas Laurent, and Xavier Bresson

#### Submissions from 2013

The t-Tone Chromatic Number of Random Graphs, Deepak Bal, Patrick Bennett, Andrzej Dudek, and Alan Frieze

A model for a large investor trading at market indifference prices. I: single-period case, Peter Bank and Dmitry Kramkov

On a stochastic differential equation arising in a price impact model, Peter Bank and Dmitry Kramkov

Utility Maximization Trading Two Futures with Transaction Cost, Maxim Bichuch and Steven E. Shreve