Ph.D. Princeton University
Applied and Computational Mathematics
- Statistical mechanics of swimming
- Intracellular transport
- Stochastic dynamics on neuronal and other
- Stochastic network modeling in epidemiology
- Stochastic modeling in ecology
- Statistical aspects of multiscale computing
- Nonlinear Wave Turbulence
(full list with links):
K. A. Newhall, M. S. Shkarayev, P. R. Kramer, G. Kovacic, and D.
Cai, "Synchrony in stochastically driven neuronal networks with complex
topologies," Physical Review E 91 (2015): 052806.
C. Latorre, P. R. Kramer, and G. A. Pavliotis, "Numerical Methods for
Computing Effective Transport Properties of Flashing Brownian Motors," Journal of
Computational Physics 257A (2014): 57-82.
Kurbanmuradov, K. Sabelfeld, and P. R. Kramer, "Randomized Spectral and
Fourier-Wavelet Methods for Multidimensional Gaussian Random Vector
of Computational Physics 245 (2013):
A. Newhall, E. P. Atkins, P. R. Kramer, G. Kovacic, and I. R. Gabitov,
"Random Polarization Dynamics in a Resonant Optical Medium," Optics Letters 38 (6), (2013):
C. Latorre, G. A. Pavliotis, and P. R. Kramer, "Corrections to
Einstein's relation for Brownian motion in a tilted periodic
potential," Journal of
Statistical Physics 150
P. Atkins, P. R. Kramer, G. Kovacic, and I. R. Gabitov, "Stochastic
Pulse Switching in a Degenerate Resonant Optical Medium," Physical Review A 85 (2012), 043834.
A. McKinley, A. Athreya, J. Fricks, and P. R. Kramer, "Asymptotic
Analysis of Microtubule-Based Transport by Multiple Identical Molecular
Motors," Journal of Theoretical Biology
P. R. Kramer, C. S. Peskin, and P. J.
Atzberger, "On the foundations of the stochastic immersed boundary
method," Computer Methods in Applied Mechanics and
P. J. Atzberger, P. R. Kramer, and C. S.
stochastic immersed boundary method for fluid-structure dynamics at
microscopic length scales," Journal
of Computational Physics 224
(2), 2007: 1255-1292.
J. Borucki, T. Witelski, C. Please, P. R. Kramer, and D. Schwendeman,
"A theory of pad conditioning for chemical-mechanical
Journal of Engineering Mathematics, 50
(1), 2004: 1-24.
A. J. Majda and P. R. Kramer,
"Simplified models for turbulent diffusion: Theory, numerical
modelling and physical phenomena," Physics Reports, 314
(4-5), 1999: 237-574.
Course Information (lecture notes and homework problems from previous semesters):
- MATP 4600, Probability Theory and Applications
- MATH 6660, Stochastic Processes and Modeling
|Mathematical and Interdisciplinary Contest in Modeling (MCM/ICM)
Graduate Student Mathematical Modeling
Camps (GSMMC) and Mathematical Problems in in Industry (MPI) Workshops
Mathematical-Related Amusements and some Personal Notes
Department of Mathematical Sciences
Rensselaer Polytechnic Institute
110 8th Street
Troy, New York 12180
Phone: (518) 276-6896
Fax: (518) 276-4824