PEOPLE: Faculty
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Kenneth AlexanderProfessor of MathematicsContact Information E-mail: alexandr@math.usc.edu Phone: (213) 740-3797 Office: KAP 424E LINKS Personal Website Course Information |
Education
- Ph.D. , Massachusetts Institute of Technology
- B.S. , University of Washington
Academic Appointment, Affiliation, and Employment History
- Professor, University of Southern California, 01/01/1996-
- Associate Professor, University of Southern California, 01/01/1990-01/01/1996
- Assistant Professor, University of Southern California, 01/01/1986-01/01/1990
- National Science Foundation Post-Doctoral Fellow and Acting Assistant Professor, University of Washington, 01/01/1983-01/01/1986
- Member, Mathematical Sciences Research Institute, Berkeley, 01/01/1982-01/01/1983
Description of Research
Summary Statement of Research Interests
Professor Alexander focuses on probability models from physics, specifically statistical mechanics, percolation, Ising model, Potts model, first passage percolation, and other models on a lattice, Gibbs distributions, and interfaces.
In addition, his research has led him to explore statistical topography, subadditive Euclidean functionals on random point sets, and empirical processses and probability in Banach spaces. Professor Alexander has authored several articles and book chapters about these research interests.
Publications
Journal Article
- Alexander, K. S., Zygouras, N. (2008). Equality of critical points for polymer depinning transitions with loop exponent one. Annals of Probability/Inst. of Math. Stat.. pp. 10 pages. http://arxiv.org/abs/0811.1902
- Alexander, K. S. (2008). The effect of disorder on polymer depinning transitions. Communications in Mathematical Physics/Springer Verlag. Vol. 279 (1), pp. 117-146. SpringerLink
- Alexander, K. S. (2007). Ivy on the ceiling: first-order polymer depinning transitions with quenched disorder. Markov Processes and Related Fields/Polymat. Vol. NA, pp. 15. arXiv
- Alexander, K. S., Sidoravicius, V. (2006). Pinning of polymers and interfaces by random potentials. Annals of Applied Probability. Vol. 16, pp. 636-669.
- Alexander, K. S. (2005). Colligative properties of solutions: II. Vanishing concentrations. Journal of Statistical Physics. Vol. 119, pp. 509-537.
- Alexander, K. S. (2005). Colligative properties of solutions: I. Fixed concentrations. Journal of Statistical Physics. Vol. 119, pp. 479-507.
- Uzun, H. B., Alexander, K. S. (2003). Lower bounds for boundary roughness for droplets in Bernoulli percolation. Probability Theory and Related Fields/Springer. Vol. 127, pp. 62-88.
- Alexander, K. S. (2003). Mixing properties and exponential decay for lattice systems in finite volumes, 2001. Annals of Probability/Inst. of Math. Stat.. Vol. 32, pp. 441-487.
- Alexander, K. S., Yoshida, N. (2001). The spectral gap of the 2-D stochastic Ising model with mixed boundary conditions. Journal of Statistical Physics/Springer. Vol. 104, pp. 89-109.
Service to the Profession
Editorships and Editorial Boards
- Associate Editor, Stochastic Processes and Applications, 03/2006-
Professional Memberships
- American Mathematical Society, 1982-
- Institute of Mathematical Statistics, 1982-