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Empirical studies have validated that basic needs satisfaction supported by video game play predicts motivation and engagement outcomes. However, few studies specifically manipulated game features for each of the three basic needs specified in the selfdetermination theory (SDT) to examine how the game features impact players’ need satisfaction and game… (More)

- Kami J. Silk, John Sherry, Brian Winn, Nicole Keesecker, Mildred A Omar Horodynski, Aylin Sayir
- Journal of nutrition education and behavior
- 2008

OBJECTIVE
To examine the effectiveness of three modalities for delivery of nutrition education.
DESIGN
Between-subjects, repeated-measures design.
SETTING
Data were collected at community agencies or during home visits.
PARTICIPANTS
Low-income, European American and African American mothers (N = 155).
INTERVENTION
Participants were exposed to… (More)

The article discusses the following frequently arising question on the spectral structure of periodic operators of mathematical physics (e.g., Schrödinger, Maxwell, waveguide operators, etc.). Is it true that one can obtain the correct spectrum by using the values of the quasimomentum running over the boundary of the (reduced) Brillouin zone only, rather… (More)

- G. Berkolaiko, Jonathan P. Keating, Brian Winn
- Physical review letters
- 2003

We calculate statistical properties of the eigenfunctions of two quantum systems that exhibit intermediate spectral statistics: star graphs and Seba billiards. First, we show that these eigenfunctions are not quantum ergodic, and calculate the corresponding limit distribution. Second, we find that they can be strongly scarred, in the case of star graphs by… (More)

- Brian Winn
- 1998

For a region of the nearest-neighbour ferromagnetic Ashkin–Teller spin systems on Z2, we characterize the existence of multiple Gibbs states via percolation. In particular, there are multiple Gibbs states if and only if there exists percolation of any of the spin types (i.e. the magnetized states are characterized by percolation of the dominant species).… (More)

We construct a renormalisation fixed point corresponding to the strong coupling limit of the golden mean Harper equation. We give an analytic expression for this fixed point, establish its existence and uniqueness, and verify properties previously seen only in numerical calculations. The spectrum of the linearisation of the renormalisation operator at this… (More)

- G. Berkolaiko, Brian Winn
- 2004

We investigate statistical properties of the eigenfunctions of the Schrödinger operator on families of star graphs with incommensurate bond lengths. We show that these eigenfunctions are not quantum ergodic in the limit as the number of bonds tends to infinity by finding an observable for which the quantum matrix elements do not converge to the classical… (More)

We describe a new class of scattering matrices for quantum graphs in which backscattering is prohibited. We discuss some properties of quantum graphs with these scattering matrices and explain the advantages and interest in their study. We also provide two methods to build the vertex scattering matrices needed for their construction.

Periodic 2nd order ordinary differential operators on R are known to have the edges of their spectra to occur only at the spectra of periodic and antiperiodic boundary value problems. The multi-dimensional analog of this property is false, as was shown in a 2007 paper by some of the authors of this article. However, one sometimes encounters the claims that… (More)

We investigate the semi-classical properties of a two-parameter family of piece-wise linear maps on the torus known as the Casati-Prosen or triangle map. This map is weakly chaotic and has zero Lyapunov exponent. A correspondence between classical and quantum observables is established, leading to an appropriate statement regarding equidistribution of… (More)