Brian Winn

ORCID: 0000-0002-0338-6223
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About
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Research Areas
  • Quantum chaos and dynamical systems
  • Spectral Theory in Mathematical Physics
  • Educational Games and Gamification
  • Random Matrices and Applications
  • Behavioral Health and Interventions
  • Impact of Technology on Adolescents
  • Motivation and Self-Concept in Sports
  • Molecular spectroscopy and chirality
  • Child Development and Digital Technology
  • Stochastic processes and statistical mechanics
  • Digital Games and Media
  • Quantum many-body systems
  • Teaching and Learning Programming
  • Quantum and electron transport phenomena
  • Cognitive Abilities and Testing
  • Graph theory and applications
  • Advanced Mathematical Modeling in Engineering
  • Quantum Mechanics and Non-Hermitian Physics
  • Advanced Combinatorial Mathematics
  • Matrix Theory and Algorithms
  • Advanced Algebra and Geometry
  • Physical Activity and Health
  • Sports Performance and Training
  • Autism Spectrum Disorder Research
  • Advanced Mathematical Theories and Applications

Loughborough University
2010-2024

Michigan State University
2009-2020

Texas A&M University
2005-2010

University of Bologna
2005-2006

Mitchell Institute
2006

Nova Southeastern University
2006

University of Bristol
2003-2004

University of Exeter
2000

Empirical studies have validated that basic needs satisfaction supported by video game play predicts motivation and engagement outcomes. However, few specifically manipulated features for each of the three specified in self-determination theory (SDT) to examine how impact players' need experience. The current study employed an in-house developed exergame a 2 (autonomy-supportive features: on vs. off) × (competence-supportive experiment predict satisfaction, enjoyment, future play, effort...

10.1080/15213269.2012.673850 article EN Media Psychology 2012-05-18

Although exergames are popular, few people take advantage of the potential group dynamics to motivate play (and achieve associated health benefits). One motivation gain phenomenon has shown promise for motivating greater effort in partnered exergames: The Köhler effect (working at a task with more capable partner where one's performance is indispensable group). This article examines whether can be demonstrated an exergame by exercising moderately superior humanoid, software-generated...

10.1089/g4h.2013.0088 article EN Games for Health Journal 2014-03-12

Active video games (AVGs) transform the sedentary screen time of gaming into active and have great potential to serve as a "gateway" tool more lifestyle for least individuals. This pilot randomized trial was conducted explore theory-guided in increasing moderate-to-vigorous physical activity (MVPA) among young adults.In this 4-week intervention, participants were randomly assigned 1 following groups: an AVG group with all self determination theory (SDT)-based game features turned off,...

10.1037/hea0000302 article EN Health Psychology 2015-12-01

Markov polynomials are the Laurent-polynomial solutions of generalised equation $$X^2 + Y^2 Z^2 = kXYZ, \quad k=\frac{x^2 y^2 z^2}{x y z}$$ which results cluster mutations applied to initial triple $(x, y, z)$. They were first introduced and studied by Itsara, Musiker, Propp Viana, who proved, in particular, that their coefficients non-negative integers. We study as functions on corresponding Newton polygons, proposing some new conjectures.

10.48550/arxiv.2501.14882 preprint EN arXiv (Cornell University) 2025-01-24

The article discusses the following frequently arising question on spectral structure of periodic operators mathematical physics (e.g., Schrödinger, Maxwell, waveguide operators, etc.).Is it true that one can obtain correct spectrum by using values quasimomentum running over boundary (reduced) Brillouin zone only, rather than whole zone?Or, do edges occur necessarily at set "corner" high symmetry points?This is known to be in 1D, while no apparent reasons exist for this happening higher...

10.1088/1751-8113/40/27/011 article EN Journal of Physics A Mathematical and Theoretical 2007-06-19

This 3-year study used a mixed-method design beginning with content analysis of games envisioned by 5th and 8th graders, followed survey students in the same age range reacting to video promos representing these games. Results show that designer's gender influences outcome girls expected they would find girl-designed significantly more fun play than boy-designed games, whereas boys imagined be Boys overwhelmingly picked based entirely on fighting as their top ranked Girls those least...

10.1177/1555412008325481 article EN Games and Culture 2008-12-01

Periodic second-order ordinary differential operators on are known to have the edges of their spectra occur only at periodic and anti-periodic boundary value problems. The multi-dimensional analog this property is false, as was shown in a 2007 paper by some authors paper. However, one sometimes encounters claims that case single periodicity (i.e., with respect lattice ), 1D still holds, spectral only. In work, we show even simplest quantum graphs not true. It true if graph consists chain...

10.1088/1751-8113/43/47/474022 article EN Journal of Physics A Mathematical and Theoretical 2010-11-09

10.1007/s00220-004-1145-0 article EN Communications in Mathematical Physics 2004-08-11

Background. Valid, reliable, accessible, and cost-effective computer-training approaches can be important components in scaling up educational support across resource-poor settings, such as sub-Saharan Africa. The goal of the current study was to develop a computer-based training platform, Michigan State University Games for Entertainment Learning laboratory's Brain Powered (BPG) package that would suitable use with at-risk children within rural Ugandan context then complete an initial field...

10.1017/gmh.2015.5 article EN cc-by-nc-nd Cambridge Prisms Global Mental Health 2015-01-01

Research on active videogames (AVGs) has demonstrated the motivation-boosting power of Köhler effect (a motivating force for "weak links" in groups based group principles upward social comparison and indispensability) with software-generated partners (SGPs), but yet to be examined over time. We tested viability an AVG SGP 12 exercise sessions using a cycle ergometer whether fatiguing partner (FP) could further boost effect.

10.1089/g4h.2016.0018 article EN Games for Health Journal 2016-06-03

The effect of the Köhler group dynamics paradigm (i.e., working together with a more capable partner where one's performance is indispensable to team outcome) has been shown increase motivation exercise longer at strength task in partnered video games (exergames) using software-generated (SGP). However, on intensity an SGP not investigated. purpose this study was examine maintain or among healthy, physically active middle-aged adults aerobic exergame.Participants (n = 85, mean age 44.9...

10.1016/j.jshs.2018.08.003 article EN cc-by-nc-nd Journal of sport and health science/Journal of Sport and Health Science 2018-08-23

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

10.1088/1751-8113/40/47/010 article EN Journal of Physics A Mathematical and Theoretical 2007-11-06

We investigate the equivalence between spectral characteristics of Laplace operator on a metric graph and associated unitary scattering operator. prove that statistics level spacings moments observations in eigenbases coincide limit all bond lengths approach positive constant value.

10.1090/s0002-9947-2010-04897-4 article EN public-domain Transactions of the American Mathematical Society 2010-08-13

We compute explicit formulae for the moments of densities eigenvalues classical β-ensembles finite matrix dimension as well expectation values coefficients characteristic polynomials. In particular, are linear combinations averages Jack polynomials, whose related to specific examples characters.

10.1088/1361-6544/aa518c article EN cc-by Nonlinearity 2017-02-02

We calculate statistical properties of the eigenfunctions two quantum systems that exhibit intermediate spectral statistics: star graphs and Seba billiards. First, we show these are not ergodic, corresponding limit distribution. Second, find they can be strongly scarred, in case by short (unstable) periodic orbits and, billiards, certain families orbits. construct sequences states which have such a limit. Our results illustrated numerical computations.

10.1103/physrevlett.91.134103 article EN Physical Review Letters 2003-09-26

Astronauts may have difficulty adhering to exercise regimens at vigorous intensity levels during long space missions. Vigorous is important for aerobic and musculoskeletal health missions afterwards. A key impediment maintaining motivation. Finding ways motivate astronauts necessary mitigate reductions in capacity not been explored. The focus of Simulated Partners Collaborative Exercise (SPACE) use recently documented motivation gains task groups heighten the experience participants, similar...

10.1186/s40359-016-0165-9 article EN cc-by BMC Psychology 2016-11-14

10.1007/s00220-005-1397-3 article EN Communications in Mathematical Physics 2006-02-02
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