Contact   Department of Mathematics   196 Auditorium Rd   Storrs, CT 06269-3009     Office:  MSB M416                                                                               Phone                        (860)486-8388   Fax (departmental)    (860)486-4238   Email (remove underscore)

Teaching Spring 2010 Measure theory math5111s10 Office hours: M 1:00-1:50 ,W 2:00-2:50 or by appointment. Past semesters F09 Multivariable Calc math2110f09, Analysis I math3150f09 SSI09 Multivariable Calc math2110ss109 S09 Measure theory math5111s09 F08 Diff. eqns. for apps math3410f08, Honors Calc II math1152f08

Links UCONN Math seminars

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Papers

• A random walk on Z with drift driven by its occupation time at zero (with Mathieu Merle and Alexander Roitershtein),  Stochastic Process. Appl. 119 (2009), no. 8, 2682-2710 pdf
• Large Deviations For Partition Functions of Directed Polymers in an IID Field, Annales de L'Institut Henri Poincaré 45 (2009), no. 3, 770–792  pdf
• Spectral analysis of a family of  second-order elliptic operators with nonlocal boundary condition indexed by a probability measure (with Ross Pinsky),  Journal of Functional Analysis 251 (2007), no. 1, 122--140. pdf
  
•  Ergodic behavior of diffusions with random jumps from the boundary (with Ross Pinsky), Stochastic Process. Appl. 119 (2009), no. 3, 864--881  pdf
• The Asymptotic Shift for the Principal Eigenvalue for Second Order Elliptic Operators on Bounded Domains under Various Boundary Conditions in the Presence of Small Obstacles,  Israel Journal of Mathematics 169 (2009), no. 2, 181-220 pdf
  
• Absolute continuity/singularity and relative entropy properties for probability measures induced by diffusions on infinite time intervals (with Ross Pinsky).  Stochastic Process. Appl. 115 (2005), no. 2, 179--206. pdf