Research Experiences for Undergraduates 2019-Participants: Difference between revisions
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Understanding Urban Inequality through the Reinforcing Stochastic Schelling Model | Understanding Urban Inequality through the Reinforcing Stochastic Schelling Model | ||
More than half of the global population is currently urbanized. This rapid urbanization expansion while boosting economic growth, negatively affects the ability of cities to keep up with the demands of the growing population, affecting the access to opportunities, infrastructure, and basic services. While urban areas generate more than 75% of global GDP, they also include over 863 million urban dwellers living in slums and informal settlements. In this project, I simulate and analyze a simplified model of urban wealth inequality in cities. This model builds a general statistical dynamics of cities that includes growth and heterogeneity across scales, from single agents to urban systems. The model implements these dynamics by using stochastic differential equations, to show how it naturally leads to emergent statistical properties deriving from standard limit theorems. The goal of this project is to identify the macroscopic dynamics of urban inequality from the stochastic behavior of the individuals while also considering the effect of a spatial dimension through a Schelling Model. | |||
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'''Mentor(s): ''' | '''Mentor(s): ''' |
Revision as of 21:51, 8 August 2019
Research Experiences for Undergraduates 2019 |
Andria Tattersfield
Claremont McKenna College - USA
Bio: dri loves writing and performing spoken word poetry, drawing comics and looking for the connections between things. They are fascinated by rock climbing and farming but are still a beginner at both. dri grew up in Taipei, Taiwan before moving to Portland, Oregon for the second half of high school, and to Southern California for college. They studied abroad in Tanzania for the spring 2019 semester, and are really excited for the summer!
Research Project: Food Mirages in the Desert: Gentrification and the Segregation of Urban Consumption
Mentor(s): Andy Rominger, Vicky Yang, Hajime Shimao
Aram Moghaddassi
University of California, Berkeley - USA
Bio: Hey everyone, I'm a sophomore at UC Berkeley, studying applied math and computer science. Some of my hobbies include board games/logic puzzles (fun fact: can solve a Rubiks cube in under 20 seconds), rock climbing, and camping/backpacking (I'm always up for a hike, and hear SFI has some nice trails nearby). I'm really looking forward to meeting and working with you all this summer!
Research Project:
Mentor(s):
David Armendariz
University of Texas at El Paso - USA
Bio: Hello! I'm a senior undergraduate student studying math at the University of Texas at El Paso. I'm especially fascinated with interdisciplinary work and using math as a framework for abstracting and understanding real-world systems. I enjoy all kinds of outdoor activity such as rock climbing and hiking, reading, and listening to and playing music.
Research Project:
Topological Reconstruction of Antarctica's Paleoclimate System Using a Deep Polar Ice Core
Mentor(s):
Joshua Garland
Elisa Heinrich Mora
Minerva Schools at KGI - USA/International
Bio: I am a rising senior at Minerva Schools at KGI, majoring in Math and CS, but with an unhidden passion for Physics and Arts. I am from Asunción, Paraguay, but in the last couple of years, I have been living in different places. I am basically interested in everything, which is one of the reasons why I applied to SFI. Excited to meet you all!
Research Project:
Understanding Urban Inequality through the Reinforcing Stochastic Schelling Model
More than half of the global population is currently urbanized. This rapid urbanization expansion while boosting economic growth, negatively affects the ability of cities to keep up with the demands of the growing population, affecting the access to opportunities, infrastructure, and basic services. While urban areas generate more than 75% of global GDP, they also include over 863 million urban dwellers living in slums and informal settlements. In this project, I simulate and analyze a simplified model of urban wealth inequality in cities. This model builds a general statistical dynamics of cities that includes growth and heterogeneity across scales, from single agents to urban systems. The model implements these dynamics by using stochastic differential equations, to show how it naturally leads to emergent statistical properties deriving from standard limit theorems. The goal of this project is to identify the macroscopic dynamics of urban inequality from the stochastic behavior of the individuals while also considering the effect of a spatial dimension through a Schelling Model.
Mentor(s):
Chris Kempes and Vicky Chuqiao Yang
Gabriel Goren
Universidad de Buenos Aires (UBA) - Argentina
Bio: I am a Physics student from Buenos Aires, Argentina, with a very strong inclination towards mathematics and computer science. I am fascinated by the concepts of information and abstraction, which seem to bring together many different fields in an interesting yet elusive way. I love mountains and contemplating nature (and cities as well!), discussing philosophy, board games and music (listening, composing and playing, though I am a bit rusty on the last two).
Research Project: Inferring Finite State Machines from Time Series
Mentor(s): Cristopher Moore, Joshua Garland
Gülce Kardeş
Middle East Technical University - Turkey
Bio: I am Gülce, a junior from Turkey, studying physics at METU. My previous works include the modeling and simulation of everyday phenomena since I love to be challenged with the most cryptic faces of nature in seemingly simple cases. I am fascinated by the world and the brain as an occupant of both, thus, I have an appetite for a display of the physical underpinnings of perception. I enjoy hiking and playing interactive games in my free time. I love freshly roasted coffee beans and atonal sounds.
Research Project: Algorithmic Identification of Observers in Arbitrary Dynamical Systems
Mentor(s): David Wolpert
Jacob Jackson
Brown University - USA
Bio: I am a junior at Brown studying Math-Physics, though my interests extend to the humanities and social sciences as well. I am interested in using my physics background to work on interesting interdisciplinary projects at SFI. Outside of my studies, I love to teach and am leaving a Spring gap semester teaching in Hanoi, Vietnam. I also love to perform music, play RPGs, go running, and build community wherever I go.
Research Project:
Mentor(s):
James Slaughter
University of Mississippi
Bio: Undergraduate economics student at the University of Mississippi. Primarily interested in topics related to rural economic development, technological change, economic history, and public policy.
Research Project: Origins of Agriculture in the Middle East
Mentor(s): Mike Price and Hajime Shimao
Nachama Stern
Brooklyn College, City University of New York - USA
Bio: Hey everyone! I'm a sophomore at Brooklyn College, City University of New York, majoring in physics. I love hiking/exploring and I'm never one to pass up a board game night (Settlers of Catan is an all-time favorite). Can't wait to meet everyone!
Research Project: Inverto Cactido: The Ultimate Puzzle
Mentor(s): Andy Rominger, Cris Moore, Chris Kempes
Naomi Rankin
Howard University - USA
Bio: Hi! I'm is a rising sophomore at Howard University from Albuquerque, NM where I major in Applied Mathematics, with double minors in Computer Science and Biology. I am interested in basically all things disease related. For my future research, I want to create computational models of diseases, in order to find better ways to solve outbreaks. For fun, I enjoy watching Black Mirror and reading dystopian future books in preparation for the zombie apocalypse.
Research Project: The Effect of Age on the Spread of Vaccine Hesitancy
Mentor(s):Tamara Van Der Does, Maria Riolo
Shaili Mathur
University of California, Los Angeles - USA
Bio: I'm a Computational and Systems Biology major at UCLA, and I'm interested in combining modelling and data analysis to understand biological systems quantitatively. I'm really interested in how components of biological systems come together and what their emergent properties are. I'm an animal lover and I enjoy spending time horse riding, sculpting and reading. I'm looking forward to exploring Santa Fe over the summer!
Research Project:
Mentor(s): Chris Kempes
Zhijie Feng
Hong Kong University of Science and Technology - Hong Kong
Bio: I'm a third-year physics student at the Hong Kong University of Science and Technology. I'm passionate about statistical physics, condensed matter physics, and complex system. Fascinated by the topics related to randomness, I have previous research experience in random walk, spin models, and opinion dynamics. I also enjoy archery, choral singing, piano, arts, and design.
Research Project: Stochastic Demand-Driven Transport
Mentor(s): Sidney Redner
REU Alumni Fellows
Megan Bromley - Arizona State University (ASU)
Bio: coming soon
Sahana Subramanyam - Azim Premji University to Bocconi University
Bio: I'm a returning REU majoring in economics and social science. I'm currently working on a textual analysis of economics research over the last 100 years. Excited to be back and looking forward to meeting everyone!