Showing 481 - 490 of 681 Items
Out of Time: Queer Resistance to Chrononormativity in the Poetry of Emily Dickinson
Date: 2025-01-01
Creator: Elana Sheinkopf
Access: Open access
Tree Level Amplitudes for Yang-Mills and Complex Scalar Field Theory using Perturbiner Methods
Date: 2025-01-01
Creator: Abigail R. Chriss
Access: Open access

Associations between Autistic Camouflaging, Autistic Burnout, Authenticity, and Mental Health Challenges: Exploring A Mediation Model Access to this record is restricted to members of the Bowdoin community. Log in here to view.
Date: 2025-01-01
Creator: Yaerin H. Wallenberger
Access: Access restricted to the Bowdoin Community
Healthcare Practitioners as Educators: Perspectives on Preventing Sexual Violence
Date: 2025-01-01
Creator: Aidan N. Michelow
Access: Open access

Group-theory constraints on color-ordered five-point amplitudes in SU(N) and SO(N) gauge-theories Access to this record is restricted to members of the Bowdoin community. Log in here to view.
Date: 2025-01-01
Creator: Nathan Clay Bailey
Access: Access restricted to the Bowdoin Community

The Physiological Effects of Acute Exposure to MPTP on the Mammalian Lumbar Central Pattern Generator Network Access to this record is restricted to members of the Bowdoin community. Log in here to view.
Date: 2025-01-01
Creator: Ephraim Kyenkyenhene Boamah
Access: Access restricted to the Bowdoin Community
Honors Projects
- The honors project offers seniors the opportunity to engage in original scholarship under the supervision of a faculty member in their major department or program and results in a written thesis and/or oral defense, artistic performance or showing, depending on the student’s field of study.
Understanding the Truce of the Irish War of Independence Through Regional Newspaper Editorials
Date: 2025-01-01
Creator: Janet Elizabeth Briggs
Access: Open access

Characterizing the organizational/activational role of ovarian hormones in the mediation of
adversity-induced anxiety in female rats Access to this record is restricted to members of the Bowdoin community. Log in here to view.
Date: 2025-01-01
Creator: Cassidy J. Scott
Access: Access restricted to the Bowdoin Community
Random Walks on Finite Groups: an
Application of Group Representations
Date: 2025-01-01
Creator: David Guan
Access: Open access
- Playing cards, a set of fifty-two cards with four suits and thirteen numbers, appear every- where in ourdaily lives. In particular, theyare commonly used ongambling tables in casinos. Before every game, the dealer needs to shuffle those cards to put them into a random order so that the game is fair. (Is it really the case in casinos?) One may wonder whether a shuffling technique is really efficient or not, i.e. whether it can turn the deck into a random configu- ration in a small number of rounds. Mathematically, this can be interpreted as a problem of random walks on the symmetric group of 52 elements S_{52} and we aim to determine how fast the random walk becomes (uniformly) random. This paper aims to explain an important application of group representations to this type of problems; in particular, techniques from group representations can provide a (roughly) accurate approximation. There will be six chapters in this paper. Chapter 1 is an introduction to problems of random walks. Chapter 2 and 3 discuss group representations in general, and a key lemma for application is discussed at the end of Chapter 3. Chapter 4 is an application to the easiest random walk one can encounter. Chapter 5 focuses on discussing properties distinctive to symmetric groups, and Chapter 6 discusses a card-shuffling example in details. Contents in Chapter 5 are mostly from the second chapter of [Sag01]; the key result in Chapter 6 along with the rest of the paper are mostly from [Dia88] with a few exceptions. This paper is written in a self-explanatory way, so anyone with necessary background of linear algebra, group theory, and probability will be able to follow the entirety of it.