Other Mathematics Commons^™

Asymptotic Spectral Distributions Of Distance-K Graphs Of Hamming Graphs, Yuji Hibino

Communications on Stochastic Analysis

No abstract provided.

Partially Gaussian Stationary Stochastic Processes In Discrete Time, K R Parthasarathy

Communications on Stochastic Analysis

No abstract provided.

Linear Stochastic Differential Equations With Anticipating Initial Conditions, Narjess Khalifa, Hui-Hsiung Kuo, Habib Ouerdiane, Benedykt Szozda

Communications on Stochastic Analysis

No abstract provided.

Crra Utility Maximization Under Dynamic Risk Constraints, Santiago Moreno-Bromberg, Traian A Pirvu, Anthony Reveillac

Communications on Stochastic Analysis

No abstract provided.

Anticipated Backward Stochastic Differential Equations With Continuous Coefficients, Zhe Yang, Robert J Elliott

Communications on Stochastic Analysis

No abstract provided.

Asymptotic And Geometric Properties Of Compactly Perturbed Wiener Process And Self-Intersection Local Time, Andrey A Dorogovtsev, Olga L Izyumtseva

Communications on Stochastic Analysis

No abstract provided.

Nonparametric Regression With Non-Gaussian Long Memory, Mariela Sued, Soledad Torres, Ciprian A. Tudor

Communications on Stochastic Analysis

No abstract provided.

Split Abelian Chief Factors And First Degree Cohomology For Lie Algebras, Jorg Feldvoss, Salvatore Siciliano, Thomas Weigel

University Faculty and Staff Publications

In this paper we investigate the relation between the multiplicities of split abelian chief factors of finite-dimensional Lie algebras and first degree cohomology. In particular, we obtain a characterization of modular solvable Lie algebras in terms of the vanishing of first degree cohomology or in terms of the multiplicities of split abelian chief factors. The analogues of these results are well known in the modular representation theory of finite groups. An important tool in the proof of these results is a refinement of a non-vanishing theorem of Seligman for the first degree cohomology of non-solvable finite-dimensional Lie algebras in prime …

Extortion And Evolution In The Iterated Prisoner's Dilemma, Michael J. Earnest

HMC Senior Theses

The Prisoner's Dilemma is a two player game where playing rationally leads to a suboptimal outcome for both players. The game is simple to analyze, but when it is played repeatedly, complex dynamics emerge. Recent research has shown the existence of extortionate strategies, which allow one player to win at least as much as the other. When one player plays such a strategy, the other must either decide to take a low payoff, or accede to the extortion, where they earn higher payoff, but their opponent receives a larger share. We investigate what happens when one player uses this strategy …

"Integration Of Math And Music In The Secondary Classroom", Brian O'Neill

Honors Theses

The disciplines of mathematics and music seem worlds apart at first glance. Harmonious connections can inevitably be created if a deeper appreciation is lent to these stereotypically dissimilar subjects. "Integration of Mathematics and Music in the Secondary Classroom" is a quadratic function unit that utilizes music to aid in teaching mathematical concepts. The unit consists of a compilation of traditional rote mathematics and three main inquiry lessons: Problems Without Polyrhythm, Ma-Thematics, and The Undertones of Overtones. The unique approach of inquiry allows students to construct meaningful learning through a curriculum that is driven by their own mathematical questions. In addition, …

Voter Compatibility In Interval Societies, Rosalie J. Carlson

HMC Senior Theses

In an interval society, voters are represented by intervals on the real line, corresponding to their approval sets on a linear political spectrum. I imagine the society to be a representative democracy, and ask how to choose members of the society as representatives. Following work in mathematical psychology by Coombs and others, I develop a measure of the compatibility (political similarity) of two voters. I use this measure to determine the popularity of each voter as a candidate. I then establish local “agreeability” conditions and attempt to find a lower bound for the popularity of the best candidate. Other results …

Repeated Changes In Reported Sexual Orientation Identity Linked To Substance Use Behaviors In Youth, Miles Q. Ott, David Wypij, Heather L. Corliss, Margaret Rosario, Sari L. Reisner, Allegra R. Gordon, S. Bryn Austin

Statistical and Data Sciences: Faculty Publications

Purpose—Previous studies have found that sexual minority (e.g., lesbian, gay, bisexual) adolescents are at higher risk of substance use than heterosexuals, but few have examined how changes in sexual orientation over time may relate to substance use. We examined the associations between change in sexual orientation identity and marijuana use, tobacco use, and binge drinking in U.S. youth.

Methods—Prospective data from 10,515 U.S. youth ages 12-27 years in a longitudinal cohort study were analyzed using sexual orientation identity mobility measure M (frequency of change from 0 [no change] to 1 [change at every wave]) in up to five waves of …

Moments For The Parabolic Anderson Model: On A Result By Hu And Nualart, Daniel Conus

Communications on Stochastic Analysis

No abstract provided.

Differentiability Of Stochastic Reflecting Flow With Respect To Starting Point, Andrey Pilipenko

Communications on Stochastic Analysis

No abstract provided.

Proving Existence Results In Martingale Theory Using A Subsequence Principle, Alexander Sokol

Communications on Stochastic Analysis

No abstract provided.

Parallel Mutation-Reproduction Processes In Random Environments, Ying Wang

Communications on Stochastic Analysis

No abstract provided.

Large Deviations For The Shell Model Of Turbulence Perturbed By Lévy Noise, Utpal Manna, Manil T Mohan

Communications on Stochastic Analysis

No abstract provided.

Characterization Theorems For Differential Operators On White Noise Spaces, Abdessatar Barhoumi, Alberto Lanconelli

Communications on Stochastic Analysis

No abstract provided.

Stochastic Burgers Equation With Polynomial Nonlinearity Driven By Lévy Process, Erika Hausenblas, Ankik Kumar Giri

Communications on Stochastic Analysis

No abstract provided.

Two-Dimensional Magneto-Hydrodynamic System With Jump Processes: Well Posedness And Invariant Measures, Utpal Manna, Manil T Mohan

Communications on Stochastic Analysis

No abstract provided.