Faculty publications from the Department of Mathematics, Statistics and Data Science at LMU can be found here.

Follow

Works from 2011

Link

The Legendre transform and max-plus finite elements, Ben G. Fitzpatrick, Li Liu, and Yun Wang

PDF

Robustness, Weak Stability, and Stability in Distribution of Adaptive Filteringalgorithms Under Model Mismatch, Ben G. Fitzpatrick, G. Yin, and Le Yi Wang

PDF

Complete graphs whose topological symmetry groups are polyhedral, Eric Flapan, Blake Mellor, and Ramin Naimi

PDF

Finitely 1-convex f-rings, Suzanne Larson

PDF

Review of Viewpoints: Mathematical Perspective and Fractal Geometry in Art, Blake Mellor

Link

Student Surveys: What Do They Think?, Blake Mellor, Holly Zullo, John George, Richard Spindler, Kelly Cline, Katharine Gurski, Jack Oberweiser, Ann Stewart, Mark Parker, Ron Buckmire, Jakob Juul Larsen, Dennis Peterson, and Christopher Storm

PDF

Heavy Episodic Drinking on College Campuses: Does Changing the Legal Drinking Age Make a Difference?, Jawaid W. Rasul, Robert G. Rommel, Geoffrey M. Jacquez, Ben G. Fitzpatrick, Azmy S. Ackleh, Neal Simonsen, and Richard Scribner

PDF

The Effects of 24 Weeks of Resistance Training with Simultaneous Elastic and Free Weight Loading on Muscular Performance of Novice Lifters, Robert Rovetti

Works from 2010

PDF

Symmetry of Nonparametric Statistical Tests on Three Samples, Anna E. Bargagliotti and Donald G. Saari

PDF

Drawing a Triangle on the Thurston Model of Hyperbolic Space, Curtis D. Bennett, Blake Mellor, and Patrick D. Shanahan

PDF

Derived Categories and the Analytic Approach to General Reciprocity Laws. Part III, Michael Berg

PDF

Situating SoTL Within the Disciplines: Mathematics in the United States as a Case Study, Jacqueline Dewar and Curtis Bennett

PDF

Epimorphisms and boundary slopes of 2–bridge knots, Jim Hoste and Patrick D. Shanahan

PDF

Application of population dynamics to study heterotypic cell aggregations in the near-wall region of a shear flow, Yanping Ma

PDF

Spark-induced Sparks as a Mechanism of Intracellular Calcium Alternans in Cardiac Myocytes, Robert J. Rovetti, Xiaohua Cui, Alan Garfinkel, James N. Weiss, and Zhilin Qu

Works from 2009

PDF

Ecosystem Modeling of College Drinking: Parameter Estimation and Comparing Models to Data, Azmy S. Ackleh, Ben G. Fitzpatrick, Richard Scribner, Neal Simonsen, and Jeremy J. Thibodeaux

Link

Ecosystem modeling of college drinking: Parameter estimation and comparing models to data, Azmy S. Ackleh, Ben G. Fitzpatrick, Richard Scribner, Neal Simonsen, and Jeremy J. Thibodeaux

PDF

Aggregating and decision making using ranked data, Anna E. Bargagliotti

PDF

Period-doubling Bifurcation in an Array of Coupled Stochastically-excitable Elements Subjected to Global Periodic Forcing, Xiaohua Cui, Robert J. Rovetti, Ling Yang, Alan Garfinkel, James N. Weiss, and Zhilin Qu

PDF

Counting Links in Complete Graphs, Thomas Fleming and Blake Mellor

PDF

Period-Doubling Bifurcation in an Array of Coupled Stochastically Excitable Elements Subjected to Global Periodic Forcing, Robert Rovetti

Works from 2008

PDF

Cohomology of Categorical Self-Distributivity, J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi, and Masahico Saito

PDF

Musical Actions of Dihedral Groups, Alissa S. Crans, Thomas M. Fiore, and Ramon Satyendra

PDF

Intrinsic linking and knotting are arbitrarily complex, Erica Flapan, Blake Mellor, and Ramin Naimi

Link

The Exhibition of Mathematical Art at 2008 Joint Mathematics Meetings, Blake Mellor

PDF

Weight Systems for Milnor Invariants, Blake Mellor

PDF

Value Monoids Of Zero-Dimensional Valuations Of Rank 1, Edward Mosteig

PDF

Evaluation of Advanced Adhesives for Aerospace Structures, P. Stoyanov, N. Rodriguez, T. Dickinson, D. H. Nguyen, E. Park, J. Foyos, V. Hernandez, J. Ogren, Michael Berg, and Omar S. Es-Said

Works from 2007

PDF

Exotic Statistics for Strings in 4d BF Theory, John C. Baez, Derek K. Wise, and Alissa S. Crans

PDF

The Probability of Relatively Prime Polynomials, Arthur T. Benjamin and Curtis D. Bennett

PDF

Derived Categories and the Analytic Approach to General Reciprocity Laws. Part II, Michael Berg

PDF

Cohomology of the adjoint of Hopf algebras, J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi, and Masahico Saito

Link

Three Dimensional Finite Point Groups and the Symmetries of Beaded Beads, Gwen L. Fisher and Blake Mellor

PDF

An Introduction to Virtual Spatial Graph Theory, Thomas Fleming and Blake Mellor

PDF

Intrinsic Linking and Knotting in Virtual Spatial Graphs, Thomas Fleming and Blake Mellor

PDF

Virtual Spatial Graphs, Thomas Fleming and Blake Mellor

PDF

Computing Boundary Slopes of 2-Bridge Links, Jim Hoste and Patrick Shanahan

PDF

Boundary slopes of 2-bridge links determine the crossing number, Jim Hoste and Patrick D. Shanahan

PDF

Rings of Continuous Functions on Spaces of Finite Rank and the SV Property, Suzanne Larson

PDF

Macroscopic Consequences of Calcium Signaling in Microdomains: A First-Passage-Time Approach, Robert Rovetti

Works from 2006

PDF

Linked Exact Triples of Triangulated Categories and a Calculus of t-Structures, Michael Berg

PDF

Intrinsic linking and knotting of graphs in arbitrary 3–manifolds, Erica Flapan, Hugh Howards, Don Lawrence, and Blake Mellor

PDF

Chord Diagrams and Gauss Codes for Graphs, Thomas Fleming and Blake Mellor

PDF

A Sequence of Polynomials for Approximating Arctangent, Herbert A. Medina

PDF

Intersection Graphs for String Links, Blake Mellor

PDF

Tree Diagrams for String Links, Blake Mellor

Works from 2005

Link

Rate distributions and survival of the fittest: A formulation on the space of measures, Azmy S. Ackler, Ben G. Fitzpatrick, and Horst R. Thieme

PDF

From Loop Groups to 2-Groups, John C. Baez, Danny Stevenson, Alissa S. Crans, and Urs Schreiber

PDF

Recounting the Odds of an Even Derangement, Arthur T. Benjamin, Curtis T. Bennett, and Florence Newberger

PDF

Derived Categories and the Analytic Approach to General Reciprocity Laws. Part I, Michael Berg

PDF

A Map on the Space of Rational Functions, G. Boros, J. Little, V. Moll, Edward Mosteig, and R. Stanley

Link

Numerical analysis and simulation of resource-exploration models, Ben G. Fitzpatrick

PDF

Commensurability classes of twist knots, Jim Hoste and Patrick D. Shanahan

Works from 2004

PDF

Higher Dimensional Algebra VI: Lie 2-Algebra, John C. Baez and Alissa S. Crans

PDF

Fermat's Last Theorem for Rational Exponents, Curtis D. Bennett, A. M. W. Glass, and Gábor J. Székely

PDF

A New Proof of a Theorem of Phan, Curtis Bennett and Sergey Shpectorov

Link

On the Topology of Celtic Knot Designs, Gwen Fisher and Blake Mellor

Link

Bayesian statistical approaches to tracking through turbulence, Ben G. Fitzpatrick, Sarah McCanless, and Yun Wang

PDF

Tree Diagrams for String Links II: Determining Chord Diagrams, Blake Mellor

PDF

The Growth of Valuations on Rational Function Fields in Two Variables, Edward Mosteig and Moss Sweedler

PDF

A formula for the A-polynomial of twist knots, Patrick Shanahan

Works from 2003

PDF

Discrete Velocity Fields with Explicitly Computable Lagrangian Law, Curtis D. Bennett and Craig L. Zirbel

PDF

Uniform Approximation of Continuous Functions on a Compact Riemann Surface by Elliptic Modular Forms, Michael Berg

PDF

Stochastic Game Approach to Air Operations, Ben G. Fitzpatrick, William M. McEneaney, and Istvan G. Lauko

PDF

Constructing Rings of Continuous Functions in Which There are Many Maximal Ideals with Nontrivial Rank, Suzanne Larson

PDF

A Few Weight Systems Arising from Intersection Graphs, Blake Mellor

PDF

A Geometric Interpretation of Milnor's Triple Invariants, Blake Mellor and Paul Melvin

PDF

Finding Common Ground: Collaboration Across the Disciplines in the Scholarship of Teaching, Elaine K. Yakura and Curtis D. Bennett

Works from 2002

PDF

An Effective Version of Belyi's Theorem, Lily S. Khadjavi

PDF

The Intermediate Value Theorem in f-Rings, Suzanne Larson

Link

Control for UAV operations under imperfect information, William M. McEneaney and Ben G. Fitzpatrick

PDF

Ideal theory in Prüfer domains - An unconventional approach, Edward Mosteig

PDF

Valuations and filtrations, Edward Mosteig

Works from 2001

PDF

The Hadamard Core of the Totally Nonnegative Matrices, Alissa Crans

PDF

What to Do on Your Summer Vacation, Alissa Crans

PDF

On the existence of finite type link homotopy invariants, Blake Mellor and Dylan Thurston

PDF

Trace fields of twist knots, Patrick Shanahan

Works from 2000

Link

Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers, Curtis Bennett, Lisa K. Elderbrock, and Andrew M. W. Glass

Link

The Fourier-Analytic Proof of Quadratic Reciprocity, Michael Berg

PDF

On Local Objects Attached to Theta- and Zeta-Functions, Michael C. Berg

PDF

Finite Type Link Concordance Invariants, Blake Mellor

PDF

Finite Type Link Homotopy Invariants II: Milnor's invariants, Blake Mellor

PDF

The Intersection Graph Conjecture for Loop Diagrams, Blake Mellor

PDF

Cyclic Dehn surgery and the A-polynomial, Patrick Shanahan

Works from 1999

PDF

Finite Type Link Homotopy Invariants, Blake Mellor

PDF

Mach’s Principle in a Mixed Newton-Einstein Context, Evert Jan Post and Michael Berg

Works from 1998

PDF

Cohomology of Polynomials Under an Irrational Rotation, Lawrence W. Baggett, Herbert A. Medina, and Kathy D. Merrill

Works from 1997

Link

Linear forms in the logarithms of three positive rational numbers, Curtis D. Bennett, Josef Blass, A. M. W. Glass, David B. Meronk, and Ray P. Steiner

PDF

f-Rings in Which Every Maximal Ideal Contains Finitely Many Minimal Prime Ideals, Suzanne Larson

Works from 1996

PDF

On Functions That Are Trivial Cocycles for a Set of Irrationals. II, Lawrence W. Baggett, Herbert A. Medina, and Kathy D. Merrill

PDF

A Multiple-Precision Division Algorithm, David M. Smith

Works from 1994

PDF

Medium PRF set selection: an approach through combinatorics, Michael C. Berg and A. G. Thomas

PDF

Lattice-Ordered Algebras That Are Subdirect Products of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, and R. G. Woods

Works from 1993

PDF

On A Generalization of Hecke ϑ-Functions and the Analytic Proof of Higher Reciprocity Laws, Michael C. Berg

Works from 1991

PDF

When is Every Order Ideal a Ring Ideal?, Suzanne Larson

Works from 1990

PDF

The automorphism groups of the hyperelliptic surfaces, Curtis Bennett and Rick Miranda

PDF

Sums of Semiprime, Z, and D L-Ideals in a Class of F-Rings, Suzanne Larson

Works from 1989

PDF

Minimal convex extensions and intersections of primary I-ideals in f-rings, Suzanne Larson

PDF

Minimal convex extensions and intersections of primary I-ideals in f-rings, Suzanne Larson

PDF

Primary l-Ideals in a Class of f-Rings, Suzanne Larson