Seminars & Colloquia Calendar
Application of persistent homology to granular materials and sampled dynamical systems
Hiroshi Takeuchi, Chubu University
Location: Hill 425
Date & time: Friday, 14 February 2020 at 2:00PM - 3:00PM
Persistent homology is a tool describing the shape of data. In this talk, we apply persistent homology to two topics; granular materials and sampled dynamical systems. A granular material is a set of macroscopic particles, such as sand, nuts, or coffee beans. The simplest model of granular materials is monodisperse sphere packings. We utilize persistent homology to capture the change of topological configurations in the crystallization of sphere packings.
In the second application, we focus on a sampled map, which is a finite subset of a map. A notable example is that the map is a discrete dynamical system, then a sampled map is a sampling from the dynamical system. Our motivation is to retrieve topological information of the dynamical system only from the finite sampling data. Persistent homology can extract the robust topological changes in the underlying map, and the cycles of the homology generators provide the model of the underlying map.
Chiara Damiolini, Ian Coley and Franco Rota -Charles Weibel Organizer's Page
Brooke Logan
Wujun Zhang Organizer's webpage
P. Gupta, X.Huang and J. Song Organizer's webpage
Swastik Kopparty, Sepehr Assadi Seminar webpage
Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage
Brooke Ogrodnik, Website
Robert Dougherty-Bliss and Doron Zeilberger --> homepage
Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage
Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage
Jason Saied Seminar webpage
Brian Pinsky, Rashmika Goswami website
Quentin Dubroff Organizer's webpage
James Holland; Organizer website
Edna Jones Organizer's webpage
Brooke Ogrodnik website
Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage
Organizer: Luochen Zhao
Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page
Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage
Simon Thomas website
Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page
Joel Lebowitz, Michael Kiessling
Yanyan Li, Haim Brezis Organizer's Webpage
Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website
Stephen D. Miller
Brooke Ogrodnik, Website
Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum
Yael Davidov Seminar webpage
Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page
Fioralba Cakoni Seminar webpage
Ebru Toprak, Organizer
- Show events from all categories
Special Note to All Travelers
Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.
Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.