Publications

August 2005 (Revised April 2008)
Teaching Note

Store24 (B): Statistics Review with Data Desk (TN)

By: Frances X. Frei

Presents an overview of the statistical analysis covered in the case discussion. View Details

Keywords: Mathematical Methods; Retail Industry

fall 1992
Article

Exploring the Limits of the Technology S-curve, Part 1: Component Technologies

By: Clayton M. Christensen

Keywords: Technology; Mathematical Methods

20 Mar 2001 - 21 Mar 2001
Conference Presentation

QAP: The Quadratic Assignment Procedure

By: William B. Simpson

Keywords: Mathematical Methods

1979
Dissertation

Inference in Partially Identified Models

By: Dutch Leonard

Keywords: Mathematical Methods

Article

The Shapley Value as a von Neumann-Morgenstern Utility

By: A. E. Roth

Keywords: Value; Mathematical Methods

June 1994
Article

Influence of Mathematical Models in Finance on Practice: Past, Present and Future

By: Robert C. Merton

Keywords: Mathematical Methods; Finance

Article

Portfolio Value-at-Risk Optimization for Asymmetrically Distributed Asset Returns

By: Joel Goh, Kian Guan Lim, Melvyn Sim and Weina Zhang

We propose a new approach to portfolio optimization by separating asset return distributions into positive and negative half-spaces. The approach minimizes a newly-defined Partitioned Value-at-Risk (PVaR) risk measure by using half-space statistical information. Using... View Details

Keywords: Robust Optimization; Portfolio Management; Value-at-risk; Mathematical Methods; Finance

July 1985 (Revised March 1994)
Background Note

Exposure and Hedging

By: David E. Bell

Describes the concept of exposure; the dependence of a goal on an uncertain external event. Describes in detail how hedges may be constructed to eliminate exposure, including the algebra of cross-hedging and hedge ratios. The relevance of regression analysis is... View Details

Keywords: Mathematical Methods; Finance

Educators

1976
Book

Lies, Damn Lies and Statistics: The Manipulation of Public Opinion in America

By: Michael A. Wheeler

Keywords: Society; Mathematical Methods; United States

2021
Working Paper

Population Interference in Panel Experiments

By: Iavor I Bojinov, Kevin Wu Han and Guillaume Basse

The phenomenon of population interference, where a treatment assigned to one experimental unit affects another experimental unit's outcome, has received considerable attention in standard randomized experiments. The complications produced by population interference in... View Details

Keywords: Finite Population; Potential Outcomes; Dynamic Causal Effects; Mathematical Methods

SSRN

2021
Article

Prisoners, Rooms, and Lightswitches

By: Daniel M. Kane and Scott Duke Kominers

We examine a new variant of the classic prisoners and lightswitches puzzle: A warden leads his n prisoners in and out of r rooms, one at a time, in some order, with each prisoner eventually visiting every room an arbitrarily large number of times. The... View Details

Keywords: Mathematical Methods

2019
Article

Configurations of Extremal Type II Codes via Harmonic Weight Enumerators

By: Noam D. Elkies and Scott Duke Kominers

We prove configuration results for extremal Type II codes, analogous to the configuration results of Ozeki and of the second author for extremal Type II lattices. Specifically, we show that for n ∈{8,24,32,48,56,72,96} every extremal Type II code of length n is... View Details

Keywords: Mathematical Methods

Article

A New Proof of Serre's Homological Characterization of Regular Local Rings

By: Ravi Jagadeesan and Aaron Landesman

We give a new proof of Serre’s result that a Noetherian local ring is regular if and only if it has finite global dimension. Our proof avoids the explicit construction of a Koszul complex. View Details

Keywords: Mathematical Methods

October 2015
Article

A New Gal(ℚ^⎯/ℚ)-invariant of Dessins d'enfants

By: Ravi Jagadeesan

We study the action of Gal(ℚ^⎯/ℚ) on the category of Belyĭ functions (finite étale covers of ℙ^1_(ℚ^⎯) \ {0,1,∞}. We describe a new combinatorial Gal(ℚ^⎯/ℚ)‐invariant for Belyĭ functions whose monodromy cycle types above 0 and ∞ are the same. We use a version of our... View Details

Keywords: Mathematical Methods

2014
Article

Ascent-Descent Young Diagrams and Pattern Avoidance in Alternating Permutations

By: Ravi Jagadeesan

We investigate pattern avoidance in alternating permutations and an alternating analogue of Young diagrams. In particular, using an extension of Babson and West’s notion of shape-Wilf equivalence described in our recent paper (with N. Gowravaram), we generalize results... View Details

Keywords: Pattern Avoidance; Alternating Permutations; Shape-Wilf Equivalence; Mathematical Methods

2013
Chapter

Weighted Generating Functions for Type II Lattices and Codes

By: Noam D. Elkies and Scott Duke Kominers

We give a new structural development of harmonic polynomials on Hamming space, and harmonic weight enumerators of binary linear codes, that parallels one approach to harmonic polynomials on Euclidean space and weighted theta functions of Euclidean lattices. Namely, we... View Details

Keywords: Mathematical Methods

Article

Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions

By: Daniel M. Kane and Scott Duke Kominers

For relatively prime positive integers and r, we consider the least common multiple L_n:=\mathop{\textrm{lcm}}(u_0,u_1,\dots, u_n) of the finite arithmetic progression \{u_k:=u_0+kr\}_{k=0}^n. We derive new lower bounds on L_n that improve upon those obtained... View Details

Keywords: Mathematical Methods