On The Sum Of Reciprocals Of Amicable Numbers,
2011
Husson University
On The Sum Of Reciprocals Of Amicable Numbers, Jonathan Bayless, Dominic Klyve
Mathematics Faculty Scholarship
Two numbers m and n are considered amicable if the sum of their proper divisors,
s(n) and s(m), satisfy s(n) = m and s(m) = n. In 1981, Pomerance showed that
the sum of the reciprocals of all such numbers, P, is a constant. We obtain both a
lower and an upper bound on the value of P.
Order Independence In Asynchronous Cellular Automata,
2011
University of California, Santa Barbara
Order Independence In Asynchronous Cellular Automata, Matthew Macauley, Jon Mccammond, Henning S. Mortveit
Publications
A sequential dynamical system, or SDS, consists of an undirected graph Y, a vertex-indexed list of local functions F_Y, and a permutation pi of the vertex set (or more generally, a word w over the vertex set) that describes the order in which these local functions are to be applied. In this article we investigate the special case where Y is a circular graph with n vertices and all of the local functions are identical. The 256 possible local functions are known as Wolfram rules and the resulting sequential dynamical systems are called finite asynchronous elementary cellular automata, or ACAs, …
The Combinatorialization Of Linear Recurrences,
2011
Harvey Mudd College
The Combinatorialization Of Linear Recurrences, Arthur T. Benjamin, Halcyon Derks, Jennifer J. Quinn
All HMC Faculty Publications and Research
We provide two combinatorial proofs that linear recurrences with constant coefficients have a closed form based on the roots of its characteristic equation. The proofs employ sign-reversing involutions on weighted tilings.
Asymptotic Properties Of Stochastic Partial Differential Equations In Hilbert Spaces Driven By Non-Gaussian Noise,
2011
Louisiana State University
Asymptotic Properties Of Stochastic Partial Differential Equations In Hilbert Spaces Driven By Non-Gaussian Noise, V Mandrekar, Li Wang
Communications on Stochastic Analysis
No abstract provided.
On The Value Of Stochastic Differential Games,
2011
Louisiana State University
On The Value Of Stochastic Differential Games, Wendell H Fleming, Daniel Hernández-Hernández
Communications on Stochastic Analysis
No abstract provided.
An Extension Of Bifractional Brownian Motion,
2011
Louisiana State University
An Extension Of Bifractional Brownian Motion, Xavier Bardina, Khalifa Es-Sebaiy
Communications on Stochastic Analysis
No abstract provided.
Cdo Tranche Sensitivities In The Gaussian Copula Model,
2011
Louisiana State University
Cdo Tranche Sensitivities In The Gaussian Copula Model, Chao Meng, Ambar N Sengupta
Communications on Stochastic Analysis
No abstract provided.
Integration By Parts Formula And The Stein Lemma On Abstract Wiener Space,
2011
Louisiana State University
Integration By Parts Formula And The Stein Lemma On Abstract Wiener Space, Hui-Hsiung Kuo, Yuh-Jia Lee
Communications on Stochastic Analysis
No abstract provided.
Erratum: Absolute Continuity Of Laws For Semilinear Stochastic Equations With Additive Noise (Cosa, Vol. 2, No. 2 (2008) 209–227) [Mr2446690],
2011
Louisiana State University
Erratum: Absolute Continuity Of Laws For Semilinear Stochastic Equations With Additive Noise (Cosa, Vol. 2, No. 2 (2008) 209–227) [Mr2446690], Benedetta Ferrario
Communications on Stochastic Analysis
No abstract provided.
Robustness Of Option Prices And Their Deltas In Markets Modelled By Jump-Diffusions,
2011
Louisiana State University
Robustness Of Option Prices And Their Deltas In Markets Modelled By Jump-Diffusions, Fred Espen Benth, Giulia Di Nunno, Asma Khedher
Communications on Stochastic Analysis
No abstract provided.
Dynamics Of A Stochastic Predator-Prey Model With The Beddington-Deangelis Functional Response,
2011
Louisiana State University
Dynamics Of A Stochastic Predator-Prey Model With The Beddington-Deangelis Functional Response, Ta Viet Ton, Atsushi Yagi
Communications on Stochastic Analysis
No abstract provided.
Evolution Systems Of Measures For Non-Autonomous Ornstein-Uhlenbeck Processes With Lévy Noise,
2011
Louisiana State University
Evolution Systems Of Measures For Non-Autonomous Ornstein-Uhlenbeck Processes With Lévy Noise, Robert Wooster
Communications on Stochastic Analysis
No abstract provided.
Characterization Of Mass-Stationarity By Bernoulli And Cox Transports,
2011
Louisiana State University
Characterization Of Mass-Stationarity By Bernoulli And Cox Transports, Günter Last, Hermann Thorisson
Communications on Stochastic Analysis
No abstract provided.
A General Theorem For Portfolio Generating Functions,
2011
Louisiana State University
A General Theorem For Portfolio Generating Functions, Olivier Menoukeu Pamen
Communications on Stochastic Analysis
No abstract provided.
Stochastic Jacobians In Affine Term-Structure Models: A Local Property,
2011
Louisiana State University
Stochastic Jacobians In Affine Term-Structure Models: A Local Property, Cody Blaine Hyndman
Communications on Stochastic Analysis
No abstract provided.
Statistical Reanalysis Of Jewish Priests’ And Non-Priests’ Haplotypes Using Exact Methods,
2011
Wayne State University
Statistical Reanalysis Of Jewish Priests’ And Non-Priests’ Haplotypes Using Exact Methods, Shlomo S. Sawilowsky
Theoretical and Behavioral Foundations of Education Faculty Publications
Researchers in an article appearing in Nature used asymptotic (i.e., large sample) chi-square tests in analyzing haplotypes of Y chromosomes using the polymerase chain reaction applied to genomic DNA from male Israeli, North American, and British Jews. The use of classical methods for analyzing extremely sparse contingency tables is frequently done, but with the advent of statistical software capable of conducting exact tests, researchers should certainly cease relying on outdated methods for small sample analyses. A reanalysis was conducted using modern statistical methods. Results and implications for using exact tests are discussed.
Constraint Qualifications And Optimality Conditions For Nonconvex Semi-Infinite And Infinite Programs,
2011
Wayne State University
Constraint Qualifications And Optimality Conditions For Nonconvex Semi-Infinite And Infinite Programs, Boris S. Mordukhovich, T T. A. Nghia
Mathematics Research Reports
The paper concerns the study of new classes of nonlinear and nonconvex optimization problems of the so-called infinite programming that are generally defined on infinite-dimensional spaces of decision variables and contain infinitely many of equality and inequality constraints with arbitrary (may not be compact) index sets. These problems reduce to semi-infinite programs in the case of finite-dimensional spaces of decision variables. We extend the classical Mangasarian-Fromovitz and Farkas-Minkowski constraint qualifications to such infinite and semi-infinite programs. The new qualification conditions are used for efficient computing the appropriate normal cones to sets of feasible solutions for these programs by employing advanced …
The Utility Of Transient Sensitivity For Wildlife Management And Conservation: Bison As A Case Study,
2011
Colorado State University - Fort Collins
The Utility Of Transient Sensitivity For Wildlife Management And Conservation: Bison As A Case Study, Michael Buhnerkempe, Nathanial Burch, Sarah J. Hamilton, Kerry M. Byrne, Eddie Childers, Kirstin A. Holfelder, Lindsay Mcmanus, Matthew I. Pyne, Greg Schroeder, Paul F. Doherty
Mathematics, Statistics and Computer Science Faculty Research and Publications
Developing effective management strategies is essential to conservation biology. Population models and sensitivity analyses on model parameters have provided a means to quantitatively compare different management strategies, allowing managers to objectively assess the resulting impacts. Inference from traditional sensitivity analyses (i.e., eigenvalue sensitivity methods) is only valid for a population at its stable age distribution, while more recent methods have relaxed this assumption and instead focused on transient population dynamics. However, very few case studies, especially in long-lived vertebrates where transient dynamics are potentially most relevant, have applied these transient sensitivity methods and compared them to eigenvalue sensitivity methods. We …
Stability And Change In Self-Reported Sexual Orientation Identity In Young People: Application Of Mobility Metrics,
2011
Harvard School of Public Health
Stability And Change In Self-Reported Sexual Orientation Identity In Young People: Application Of Mobility Metrics, Miles Q. Ott, Heather L. Corliss, David Wypij, Margaret Rosario, S. Bryn Austin
Statistical and Data Sciences: Faculty Publications
This study investigated stability and change in self-reported sexual orientation identity over time in youth. We describe gender- and age-related changes in sexual orientation identity from early adolescence through emerging adulthood in 13,840 youth ages 12–25 employing mobility measure M, a measure we modified from its original application for econometrics. Using prospective data from a large, ongoing cohort of U.S. adolescents, we examined mobility in sexual orientation identity in youth with up to four waves of data. Ten percent of males and 20% of females at some point described themselves as a sexual minority, while 2% of both males and …
Shooting Neural Networks Algorithm For Solving Boundary Value Problems In Odes,
2011
Mosul University
Shooting Neural Networks Algorithm For Solving Boundary Value Problems In Odes, Kais I. Ibraheem, Bashir M. Khalaf
Applications and Applied Mathematics: An International Journal (AAM)
The objective of this paper is to use Neural Networks for solving boundary value problems (BVPs) in Ordinary Differential Equations (ODEs). The Neural networks use the principle of Back propagation. Five examples are considered to show effectiveness of using the shooting techniques and neural network for solving the BVPs in ODEs. The convergence properties of the technique, which depend on the convergence of the integration technique and accuracy of the interpolation technique are considered.
