Physical Sciences and Mathematics Commons^™

Weather And Climate Summary And Forecast: December 2017 Report, Gregory V. Jones

Linfield University Wine Studies Reports

This report provides a summary of the weather and climate forecast for December 2017. It includes forecast information specific to the Pacific Northwest and the western United States, as well as forecast information for other portions of the United States and abroad.

In Place: November 27, 2017, Place

PLACE Historical Documents

In PLACE is a newsletter designed to keep the Linfield College community apprised of information related to PLACE activities, as well as ways to bring the program into classes. Included in this issue:

• Spotlight On: "What's the Big Idea"
• Upcoming Events
• PLACE in the News

In Place: November 6, 2017, Place

PLACE Historical Documents

In PLACE is a newsletter designed to keep the Linfield College community apprised of information related to PLACE activities, as well as ways to bring the program into classes. Included in this issue:

• Spotlight On: PLACE Sponsored Events
• Upcoming Events
• PLACE in the News

In Place: October 11, 2017, Place

PLACE Historical Documents

In PLACE is a newsletter designed to keep the Linfield College community apprised of information related to PLACE activities, as well as ways to bring the program into classes. Included in this issue:

• A Message to Faculty
• Spotlight On: Jonathan Rauch & Cheryl Harris
• Upcoming Events
• PLACE in the News
• Last Week in PLACE

Examining Water Quality Along Cozine Creek, Noah Berg, Hayden Cooksy, Gabrielle Esparza, Kyle Huizinga, Peri Muellner, Mehana Sabado-Halpern, Connor Sende

Environmental Studies Student Papers

Water is an essential resource for all life. Water sustains ecological processes that are important to the survival of fish, vegetation, wetlands, and birds. It contributes to humans by providing drinking water, irrigation, and also is an inspiration for recreational, cultural, and spiritual practices. Anthropogenic activities affect water quality in various ways, and a significant portion of the human population is currently experiencing water stress. The quality of water, as well as its social and economic value, share a positive relationship. Therefore, as water quality becomes degraded by pollution, the environmental, social, and economic value also decrease. The recognition of …

In Place: September 24, 2017, Place

PLACE Historical Documents

In PLACE is a newsletter designed to keep the Linfield College community apprised of information related to PLACE activities, as well as ways to bring the program into classes. Included in this issue:

• PLACE: What's In It for Faculty?
• PLACE: What's In It for Students?
• PLACE in the News
• Last Week in PLACE

In Place: September 8, 2017, Place

PLACE Historical Documents

In PLACE is a newsletter designed to keep the Linfield College community apprised of information related to PLACE activities, as well as ways to bring the program into classes. Included in this issue:

• PLACE and What's the Big Idea?
• Spotlight On: The First Year Experience
• Our PLACE Theme in the News

Student Fellows 2017-2018, Place

PLACE Historical Documents

This document provides biographies of PLACE student fellows at Linfield College for 2017-2018.

Faculty Fellows 2017-2018, Place

PLACE Historical Documents

This document provides biographies of PLACE faculty fellows at Linfield College for 2017-2018.

The Digital Citizen, Place

PLACE Historical Documents

This document explains the PLACE theme at Linfield College for 2017-2018 (The Digital Society: The Digital Citizen).

Place Events 2016-2017, Place

PLACE Historical Documents

This document describes PLACE events at Linfield College for 2016-2017.

Application Of Inverse Problems In Imaging, Xiaoyue Luo

Post-Grant Reports

In this project, we studied how to enhance image quality by denoising and deblurring a given image mathematically. We compared some existing state-of-the-art methods for image denoising and deblurring. We implemented the algorithms numerically using Matlab.

We studied the possibility of combining statistical analysis with the traditional image restoration methods including using wavelets and framelets and we derived some encouraging preliminary results.

My research student Alleta Maier gave a sequence of talks on the project including the Pacific Northwest Mathematical Association of America conference at Oregon State University in April, 2016; Linfield College Taylor Series in March, 2016, and Linfield …

Spectrally Similar Incommensurable 3-Manifolds, David Futer, Christian Millichap

Faculty Publications

Reid has asked whether hyperbolic manifolds with the same geodesic length spectrum must be commensurable. Building toward a negative answer to this question, we construct examples of hyperbolic 3–manifolds that share an arbitrarily large portion of the length spectrum but are not commensurable. More precisely, for every n ≫ 0, we construct a pair of incommensurable hyperbolic 3–manifolds N_n and N^µ_n whose volume is approximately n and whose length spectra agree up to length n.

Both N_n and N^µ_n are built by gluing two standard submanifolds along a complicated pseudo-Anosov map, ensuring that …

Mutations And Short Geodesics In Hyperbolic 3-Manifolds, Christian Millichap

Faculty Publications

In this paper, we explicitly construct large classes of incommensurable hyperbolic knot complements with the same volume and the same initial (complex) length spectrum. Furthermore, we show that these knot complements are the only knot complements in their respective commensurability classes by analyzing their cusp shapes.

The knot complements in each class differ by a topological cut-and-paste operation known as mutation. Ruberman has shown that mutations of hyperelliptic surfaces inside hyperbolic 3-manifolds preserve volume. Here, we provide geometric and topological conditions under which such mutations also preserve the initial (complex) length spectrum. This work requires us to analyze when least …