Levich Institute Seminar – Tuesday, 10/01/2024

Tuesday, 10/01/2024
2:00 PM
Steinman Hall #312 

Professor Miroslav Kramar, University of Oklahoma, Department of Mathematics

“Predicting Slip Events in Granular Systems”

ABSTRACT

Earthquakes, snow avalanches, and landslides are well-known phenomena that often lead to wide-scale destruction. In this talk we will concentrate on a small-scale system that exhibits stick-slip dynamics closely connected to the avalanches. In particular, we will consider a system of granular particles confined by two walls. The top wall of the system is pulled by a spring moving with constant velocity. This external forcing exposes the particles to time-dependent shear stress. In the stick-slip regime, the force network, describing the state of the system, evolves slowly and the top wall remains at rest until the spring force becomes sufficiently large. At this point, the wall slips, and an abrupt rearrangement of the force network occurs. In this talk, we will show that the upcoming slip events can be predicted by combining the methods of topological data analysis and Bayesian statistics. We will represent the time evolution of the force network as a time series in the space of persistence diagrams and find relevant descriptors in this space that are amenable to the Bayesian analysis.
 
BRIEF ACADEMIC/EMPLOYMENT HISTORY:
 
  • 2019 – present Assistant Professor, University of Oklahoma, USA
  • 2017 – 2019 Researcher, INRIA Saclay, France
  • 2015 – 2017 Assistant Professor, Advanced Institute for Materials Research, Japan
  • 2009 – 2015 Postdoctoral Associate, Rutgers University, USA
  • Vrije Universiteit Amsterdam, The Netherlands¥¥
  • Ph.D. Mathematics, 2009
  • Thesis Advisor: R.C.A.M van der Vorst
MOST RECENT RESEARCH INTERESTS:
 
  • Topological data analysis: computational algebraic topology, analysis of non-linear structures in high-dimensional data, manifold reconstruction, persistent homology.
  • Non-linear dynamics: reconstruction of dynamics from data, pattern formation, Conley index theory, anomaly detection.
  • Interdisciplinary research: dense granular media, turbulent flows, dynamics of silo deformation, protein structure and function, spreading processes on networks.