Omer Bobrowski
I am no
longer at Duke. I moved to Technion ? Israel Institute of Technology.
This is my new website:
https:sites.google.com/site/omerbobrowski
I am a Visiting Assistant Professor in the
Mathematics Department at Duke University.
Contact Information
Office: 222 Physics Building
Phone: (919) 660-2878
Email: olmlelrl@lmlaltlhl.ldlulklel.leldlu
Durham, NC 27708
Research Interests
?
Stochastic topology. More specifically - algebraic topology of random
fields and complexes.
?
Statistical theory for topological data analysis (TDA).
?
Statistical models and applications for TDA.
?
Probability and stochastic processes.
Publications
?
Maximally Persistent Cycles in Random Geometric Complexes
O. Bobrowski, M. Kahle, and P. Skraba
Submitted, arXiv:1509.04347, 2015.
PDF
?
On the Vanishing of Homology in Random Čech
Complexes
O. Bobrowski, and S. Weinberger
Submitted, arXiv:1507.06945, 2015.
PDF
?
The Topology of Probability Distributions on Manifolds
O. Bobrowski, and S. Mukherjee
Probability Theory and Related Fields 161 (3-4): 651-686, 2015
PDF
?
Topology of Random Geometric Complexes: A Survey
O. Bobrowski, M. Kahle
To appear in: Topology in Statistical Inference, the Proceedings of Symposia in
Applied Mathematics, arXiv:1409.4734, 2014.
PDF
?
Topological Consistency via Kernel Estimation
O. Bobrowski, S. Mukherjee and J. Taylor
To Appear in Bernoulli, arXiv:1407.5272, 2014.
PDF
?
Crackle: The Homology of Noise
R.J. Adler, O. Bobrowski, and S. Weinberger
Discrete and Computational Geometry 52 (4): 680-704, 2014
PDF
?
Distance Functions, Critical Points, and the Topology of Random Cech Complexes
O. Bobrowski, R.J. Adler
Homology, Homotopy and Applications 16 (2): 311-344,
2014
PDF
?
Euler Integration of Gaussian Random Fields and Persistent Homology
O. Bobrowski, M.S. Borman
Journal of Topology and Analysis, 4(1), 2012.
PDF
?
Persistent Homology for Random Fields and Complexes
R.J. Adler, O. Bobrowski, M.S. Borman, E. Subag and S. Weinberger
Borrowing Strength: Theory Powering Applications, A festschrift for Lawrence D.
Brown. IMS Collections Vol. 6, 2010.
PDF
?
Bayesian Filtering in Spiking Neural Networks: Noise, Adaptation and
Multisensory Integration
O. Bobrowski, R. Meir and Y. C. Eldar
Neural Computation 21(5), 2009.
PDF, online
appendix.
?
A Neural Network Implementing Optimal State Estimation Based on
Dynamic Spike Train Decoding
O. Bobrowski, R. Meir, S. Shoham and Y. C. Eldar
Neural Information Processing Systems
(NIPS 2007).
PDF
Theses
?
PhD Thesis: Algebraic Topology of Random Fields and Complexes
Advisor: Prof. Robert J. Adler
PDF
?
MSc Thesis: Real Time Spike Train Decoding by Neural Networks
Advisors: Prof. Ron Meir and Prof. Yonina C. Eldar
Teaching
Fall 2015:
MATH/STAT 690 - Topics in Probability
STAT 130 - Probability
and Statistics in Engineering
Fall 2014/2013/2013:
MATH 212 - Mutlivariate Calculus
A Neat (?) Simulation
Move
your mouse to change angles, and you can click the following:
z/x - zoom in/out
left/right - change size
up/down - speed
f/g - fluctuations
(more/less)
r - start over
p - pause (on/off)
s - show a slice (on/off)
0-9 - take a screenshot