R. Basak, R. Kozlowski, L. A. Pugnaloni, M. Kramar, J. E. S. Socolar, C. M. Carlevaro, and L. Kondic Evolution of force networks during stick-slip motion of an intruder in a granular material: Topological measures extracted from experimental data
Physical Review E, 108 (2023).
P. Bretz, L. Kondic, and M. Kramar Stochastic methods for slip prediction in a sheared granular system
Physical Review E, 107 (2023).
M. Kramar, C. Cheng, R. Basak, and L. Kondic On intermittency in sheared granular systems
Soft Matter, 18 (2022).
R. Basak, M. Carlevaro, R. Kozlowski, C. Cheng, L. A. Pugnaloni, M. Kramar, H. Zheng, J. E. S. Socolar, and L. Kondic Two Approaches to Quantification of Force Networks in Particulate Systems
Journal of Engineering Mechanics, 147 (2021).
R. Sergazinov and M. Kramar Machine learning approach to force reconstruction in photoelastic materials
Machine Learning: Science and Technology, 2 (2021).
M. Kramar, L. Kovalcinova, L. Kondic and K. Mischaikow Quantitative measure of memory loss in complex spatio-temporal systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 31 (2021).
S. Harker, M. Kramar, R. Levanger and K. Mischaikow A comparison framework for interleaved persistence modules
Journal of Applied and Computational Topology, 3 (2019).
C. Colonnello and M. Kramar Dynamics of silo deformation under granular discharge
Physical Review E, 98 (2018).
J. Dijksman, L. Kovalcinova, J. Ren, R.P. Behringer, M. Kramar, K. Mischaikow and L. Kondic Characterizing granular networks using topological metrics
Physical Review E, 97 (2018).
L. Kondic, M. Kramar, L. Kovalcinova and K. Mischaikow Evolution of force networks in dense granular matter close to jamming
Powders and Grains , (2017).
J. Jaquette and M. Kramar On đťś– approximations of persistence diagrams
Mathematics of Computation, 86 (2017).
L. Kondic, M. Kramar, L. A. Pugnaloni, C. M. Carlevaro and K. Mischaikow Structure of force networks in tapped particulate systems of disks and pentagons. II. Persistence analysis
Physical Review E, 93 (2016).
L. A. Pugnaloni, C. M. Carlevaro, M. Kramar, K. Mischaikow and L. Kondic Structure of force networks in tapped particulate systems of disks and pentagons. I. Clusters and loops
Physical Review E, 93 (2016).
M. Kramar, R. Levanger, J. Tithof, B. Suri, M. Xu, M. Paul, M. F. Schatz and K. Mischaikow Analysis of Kolmogorov flow and Rayleigh-Benard convection using persistent homology
Physica D: Nonlinear Phenomena, 334 (2016).
D. Taylor, F. Klimm, H.A. Harrington, M. Kramar, K Mischaikow, M.A. Porter and P.J. Mucha Topological data analysis of contagion maps for examining spreading processes on networks
Nature Communications, 6 (2015).
M. Kramar, A. Goullet, L. Kondic and K. Mischaikow Evolution of force networks in dense particulate media
Physical Review E, 90 (2014).
M. Gameiro, Y. Hiraoka, S. Izumi, M. Kramar, K. Mischaikow and V. Nanda A topological measurement of protein compressibility
Japan Journal of Industrial and Applied Mathematics, 32 (2014).
M. Kramar, A. Goullet, L. Kondic and K. Mischaikow Quantifying force networks in particulate systems
Physica D: Nonlinear Phenomena, 283 (2014).
M. Kramar, A. Goullet, L. Kondic and K. Mischaikow Persistence of force networks in compressed granular media
Physical Review E, 87 (2013).
L. Kondic, A. Goullet, C. S. O’Hern, M. Kramar, K. Mischaikow and R. P. Behringer Topology of force networks in compressed granular media
Europhysics Letters, 97 (2012).
J.B. van den Berg, M. Kramar and R.C.A.M van der Vorst Oscillatory solutions of fourth order conservative systems via the Conley index
Journal of Differential Equations, 252 (2012).
J.B. van den Berg, M. Kramar and R.C.A.M van der Vorst The Order of Bifurcation Points in Fourth Order Conservative Systems via Braids
SIAM Journal on Applied Dynamical Systems, 10 (2011).
M. Kramar Generic and stability properties of reciprocal and pseudogradient vector fields
Mathematica Slovaca 54 (2004).
