Peter Boyd is a senior studying applied statistics, actuarial science, and mathematics, and he enjoys conducting research projects in earth, atmospheric, and planetary sciences, mathematics, and forestry and natural resources. Boyd hopes to continue his education by pursuing a master’s degree in environmental statistics after graduation. Boyd’s involvement on campus includes Purdue Student Gove...

Henrich and Boyd (2002) were the first to propose a formal model of the role of attraction in cultural evolution. They came to the surprising conclusion that, when both attaction and selection are at work, final outcomes are determined by selection alone. This result is based on a determistic view of cultural attraction, different from the probabilistic view introduced in Sperber (1996). We def...

Chairmen: Fred Eggan and Daryll Forde. Papers discussed: Kluckhohn, «Universal Categories of Culture"; ~ Hoijer, «The Relation of Language to Culture";~ Martinet, "Structural Linguistics";~ Levi­ Strauss, «Social Structure"; ~ Boyd, «The Contributions of Genetics to Anthropol­ ogy";~ Steward, «Evolution and Process," Speakers: Eggan, Boyd, '''ashburn, Kluckhohn, Murdock,t Henry, HOijer, Ken­ na...

Maitland and Boyd proposed at ICICS 2001 an offline electronic cash system based on the group signature scheme. Their scheme cannot be used to solve blackmailing and other anonymity problems such as money laundering and illegal purchases. In this paper we extend the electronic cash system of Maitland and Boyd to prevent blackmailing, money laundering and illegal purchases by using a secure coal...

Determining the precise integrality gap for the subtour LP relaxation of the traveling salesman problem is a significant open question, with little progress made in thirty years in the general case of symmetric costs that obey triangle inequality. Boyd and Carr [3] observe that we do not even know the worst-case upper bound on the ratio of the optimal 2-matching to the subtour LP; they conjectu...

We give necessary and sufficient conditions for the Hardy operator to be bounded on a rearrangement invariant quasi-Banach space in terms of its Boyd indices. MAIN RESULTS A rearrangement invariant space X on R is a set of measurable functions (modulo functions equal almost everywhere) with a complete quasi-norm ‖ · ‖X such that the following holds: i) if g ≤ f ∗ and f ∈ X, then g ∈ X with ‖g‖X...

We consider the design of nite impulse response (FIR) lters subject to upper and lower bounds on the frequency response magnitude. The associated optimization problems, with the lter coe cients as the variables and the frequency response bounds as constraints, are in general nonconvex. Using a change of variables and spectral factorization, we can pose such problems as linear or nonlinear conve...