





Peter Kramer
Professor
Ph.D. Princeton University
Applied and Computational Mathematics

Research Areas
(summary
descriptions):
 Statistical mechanics of swimming
microorganisms
 Intracellular transport
 Stochastic dynamics on neuronal and other
networks
 Stochastic network modeling in epidemiology
 Stochastic modeling in ecology
 Statistical aspects of multiscale computing
 Nonlinear Wave Turbulence


Selected Publications
(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.

J.
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): 5782.

O.
Kurbanmuradov, K. Sabelfeld, and P. R. Kramer, "Randomized Spectral and
FourierWavelet Methods for Multidimensional Gaussian Random Vector
Fields," Journal
of Computational Physics 245 (2013):
218234.

K.
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):
893895.

J.
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
(4), (2013):
776803.
 E.
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.

S.
A. McKinley, A. Athreya, J. Fricks, and P. R. Kramer, "Asymptotic
Analysis of MicrotubuleBased Transport by Multiple Identical Molecular
Motors," Journal of Theoretical Biology
305
(2012): 5469.
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
Engineering, 197(2528),
2008: 22322249

P. J. Atzberger, P. R. Kramer, and C. S.
Peskin, "A
stochastic immersed boundary method for fluidstructure dynamics at
microscopic length scales," Journal
of Computational Physics 224
(2), 2007: 12551292.

L.
J. Borucki, T. Witelski, C. Please, P. R. Kramer, and D. Schwendeman,
"A theory of pad conditioning for chemicalmechanical
polishing,"
Journal of Engineering Mathematics, 50
(1), 2004: 124.

A. J. Majda and P. R. Kramer,
"Simplified models for turbulent diffusion: Theory, numerical
modelling and physical phenomena," Physics Reports, 314
(45), 1999: 237574.

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
MathematicalRelated Amusements and some Personal Notes
Contact Information
Peter Kramer
Department of Mathematical Sciences
Rensselaer Polytechnic Institute
110 8th Street
Troy, New York 12180
Phone: (518) 2766896
Fax: (518) 2764824
Email: kramep@rpi.edu



