This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

# Peter Saveliev's publications

### From Mathematics Is A Science

A complete list of Dr. Saveliev research publications (see also Publications that use Pixcavator).

- P. Saveliev,
*Topology Illustrated*, 2016 - P. Saveliev,
*Homology of filtrations*, draft paper. - P. Saveliev,
*Graph representation of topology of color images*, draft paper. - P. Saveliev,
*Robustness of topology of digital images and point clouds*, 23rd Canadian Conference on Computational Geometry, 2011, pp. 411-416. - P. Saveliev,
*A graph, non-tree representation of the topology of a gray scale image*, in Image Processing: Algorithms and Systems IX, edited by Jaakko T. Astola, Karen O. Egiazarian, Proceedings of SPIE Vol. 7870 (SPIE — The International Society for Optical Engineering, Bellingham, WA 2011) 78700O, O1-O19. - J. Meyer, A. Pahwa, and P. Saveliev,
*Image analysis for high content screening with cellAnalyst*, IEEE International Conference on Bioinformatics and Bioengineering, Institute of Electrical and Electronics Engineers, June 2009. - P. Saveliev,
*Topology based method of segmentation of gray scale images*, Proceedings of International Conference on Image Processing, Computer Vision, and Pattern Recognition, pp. 620-626, 2009. - P. Saveliev and A. Pahwa,
*A topological approach to cell counting*, Proceedings of Workshop on Bio-Image Informatics: Biological Imaging, Computer Vision and Data Mining, 2008, Center for Bio-Image Informatics, University of California - Santa Barbara, USA, January 17-18, 2008. - P. Saveliev,
*Homology of parametric images*, draft, November 2006. - P. Saveliev,
*Topology based method of partition, analysis, and simplification of dynamical images*, US patent application, August 2006, App. No. 20070036434. - P. Saveliev,
*Applications of Lefschetz numbers in control theory*. SIAM Journal of Control and Optimization, Society for Industrial and Applied Mathematics, 44 (2005) 5, 1677-1690. - P. Saveliev,
*Higher order Nielsen numbers*. Fixed Point Theory and Its Applications, 2005:1 (2005) 47-66. - P. Saveliev,
*Removing coincidences of maps between manifolds of different dimensions*. Topological Methods in Nonlinear Analysis, 22 (2003) 1, 105-114. - P. Saveliev,
*Lomonosov's invariant subspace theorem for multivalued linear operators*. Proceedings of the American Mathematical Society, 131 (2003) 3, 825-834. - P. Saveliev,
*Lefschetz coincidence theory for maps between spaces of different dimensions*. Topology and Its Applications, 116 (2001) 1, 137-152. - P. Saveliev,
*Fixed points and selections of set valued maps on spaces with convexity*. International Journal of Mathematics and Mathematical Sciences, 24 (2000) 9, 595-612. - P. Saveliev,
*Fixed Points and Coincidences*. Ph.D. Thesis. University of Illinois at Urbana-Champaign, 1999. - P. Saveliev,
*A Lefschetz-type coincidence theorem*. Fundamenta Mathematicae, 162 (1999) 1-2, 65-89. - P. Saveliev,
*Dissipativity in the plane*. Russian Academy of Sciences. Sbornik. Mathematics, 75 (1993) 1, 125-135. - P. Saveliev,
*The dissipativity of the generalized Lienard equation*. Differential Equations, 28 (1992) 6, 794-800. - P. Saveliev,
*On Poincare-Bendixson theorem and dissipativity on a plane*. Moscow University Mathematics Bulletin, 46 (1991) 3, 54-55. - N. Chmutin and P. Saveliev,
*Accuracy estimation of the multilateral scheme*. Raketno-Kosmicheskaya Tekhnika (Rocket and Space Technology), 6 (1989) 3, 62-65. - P. Saveliev,
*The dissipativity of systems of ordinary differential equations in the plane*. Moscow University Mathematics Bulletin, 43 (1988) 4, 93-96.