Ken AlexanderProfessor of MathematicsVice Chair Contact Information Email: alexandr@usc.edu Phone: (213) 7403797 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, 01/01/199001/01/1996  
Assistant Professor, University of Southern California, 01/01/198601/01/1990  
National Science Foundation PostDoctoral Fellow and Acting Assistant Professor, University of Washington, 01/01/198301/01/1986  
Member, Mathematical Sciences Research Institute, Berkeley, 01/01/198201/01/1983  
Description of Research 

Summary Statement of Research Interests 

Professor Alexander focuses on the interface between probability theory and physics, specifically statistical mechanics. Topics include percolation, pinning models, the Ising model, Potts model, first passage percolation, and other models on a lattice, as well as Gibbs distributions and interfaces. His earlier research interests have included statistical topography, subadditive Euclidean functionals on random point sets, empirical processes and probability in Banach spaces. Professor Alexander has authored journal articles and book chapters on these topics.  
Publications 

Journal Article 

Alexander, K. S., Yildirim, G. (2015). Directed polymers in a random environment with a defect line. Electronic Journal of Probability. Vol. 20, pp. 20 pages.  
Alexander, K. S. (2013). Controlled random walk with a target site. Electronic Communications in Probability. Vol. 18 (43), pp. 6 pages.  
Alexander, K. S., Zygouras, N. Path properties of the random polymer in the delocalized regime. Annals of Applied Probability.  
Alexander, K. S., Zygouras, N. (2012). Subgaussian concentration and rates of convergence in directed polymers. Electronic Journal of Probability. pp. 28.  
Alexander, K. S. (2011). Excursions and local limit theorems for Bessellike random walks. Electronic Journal of Probability. Vol. 16, pp. 1  44. http://arxiv.org/abs/0912.4550  
Alexander, K. S., Dunlop, F., MiracleSole, S. (2011). Layering and wetting transitions for an SOS interface. Journal of Statistical Physics/Springer. Vol. 142, pp. 524  576. http://arxiv.org/abs/0908.0321  
Alexander, K. S. (2011). Subgaussian rates of convergence of means in directed first passage percolation. Annals of Applied Probability. pp. 15. http://arxiv.org/abs/1101.1549  
Alexander, K. S., Dunlop, F., MiracleSole, S. (2010). Layering in the Ising model. Journal of Statistical Physics/Springer. Vol. 141, pp. 217  241. arXiv  
Alexander, K. S., Zygouras, N. (2010). Equality of critical points for polymer depinning transitions with loop exponent one. Annals of Applied Probability/Inst. of Math. Stat.. Vol. 20, pp. 356  366. http://arxiv.org/abs/0811.1902  
Alexander, K. S., Zygouras, N. (2009). Quenched and annealed critical points in polymer depinning transitions. Communications in Mathematical Physics/Springer Verlag. Vol. 291 (3), pp. 659689. http://arxiv.org/abs/0805.1708  
Alexander, K. S. (2008). The effect of disorder on polymer depinning transitions. Communications in Mathematical Physics/Springer Verlag. Vol. 279 (1), pp. 117146. SpringerLink  
Alexander, K. S. (2007). Ivy on the ceiling: firstorder 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. 636669.  
Alexander, K. S. (2005). Colligative properties of solutions: II. Vanishing concentrations. Journal of Statistical Physics. Vol. 119, pp. 509537.  
Alexander, K. S. (2005). Colligative properties of solutions: I. Fixed concentrations. Journal of Statistical Physics. Vol. 119, pp. 479507.  
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. 6288.  
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. 441487.  
Alexander, K. S., Yoshida, N. (2001). The spectral gap of the 2D stochastic Ising model with mixed boundary conditions. Journal of Statistical Physics/Springer. Vol. 104, pp. 89109.  
Service to the Profession 

Editorships and Editorial Boards 

Associate Editor, Stochastic Processes and Applications, 03/200603/2012  
Professional Memberships 

American Mathematical Society, 1982  
Institute of Mathematical Statistics, 1982  
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