CURRICULUM VITAE. Peter H. Baxendale Department of Mathematics University of Southern California Los Angeles, CA

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1 CURRICULUM VITAE Peter H. Baxendale Department of Mathematics University of Southern California Los Angeles, CA Nov 23, 2016 Education 1969 B.A.(Hons) Mathematics, University of Cambridge, England 1970 M.Sc. Mathematics, University of Warwick, England 1974 Ph.D. Mathematics, University of Warwick, England (Ph.D. Thesis: Gaussian measures on function spaces; Advisor: James J. Eells, Jr) Employment present: Professor, Department of Mathematics, University of Southern California : Associate Professor, Department of Mathematics, University of Florida : Lecturer, Department of Mathematics, University of Aberdeen, Scotland 1986 (Jan-Mar): Member of Institute for Mathematics and its Applications, University of Minnesota 1984 (Oct-Dec): Professeur Associé, Laboratoire de Probabilitiés, Université Paris VI, France : Visiting Associate Professor, University of Southern California : Member of School of Mathematics, Institute for Advanced Studies, Princeton : Lecturer, Department of Mathematics, University of Warwick, England Awards Rollo Davidson Prize, University of Cambridge, 1987 Fellow of Institute of Mathematical Statistics,

2 Research Funding Office of Naval Research grant N J-1526 (Stage I: 4/91 to 9/93; stage II: 10/93 to 9/95). Office of Naval Research grant N (4/96 to 9/98, extended to 12/98). National Science Foundation grant DMS (7/05 to 6/09) Invited Lectures Lectures at numerous universities in the U.S. and Europe plus: 1. Journées sur la Géométrie de la dimension infinie, May 1975, Lyon, France th IEEE Conference on Decision and Control, December 1981, San Diego, CA. 3. Workshop on Lyapunov Exponents, November 1984, Bremen, West Germany. 4. Journées Probabilistes, December 1984, C.I.R.M. Luminy, France. 5. Taniguchi Symposium on Probabilistic Methods in Mathematical Physics, June 1985, Kyoto, Japan th Conference on Stochastic Processes and their Applications, July 1985, Nagoya, Japan. 7. Probability Measures on Groups, November 1985, Oberwolfach, West Germany. 8. Quantum Mechanics and Stochastic Processes, August 1986, Swansea, United Kingdom. 9. AMS Summer Research Conference: Geometry of Random Motion, July 1987, Cornell University. 10. IMS/SIAM Conference (Session on Computer Graphics for Stochastic Models), May 1988, Madison, Wisconsin th Midwest Probability Conference (Mini-conference on Lyapunov exponents), October 1988, Northwestern University. 12. Symposium in honor of Ted Harris, January 1989, University of Southern California. 13. Bernoulli Society Conference on Stochastic Processes and their Applications, June 1989, Madison, Wisconsin. 14. Conference on Diffusion Processes and Related Problems in Analysis, October 1989, Northwestern University. 2

3 15. Conference on Stochastic Flows, March 1990, University of North Carolina at Charlotte. 16. Lyapunov Exponents, May 1990, Oberwolfach, West Germany. 17. Conference on Stochastic Partial Differential Equations, March 1991, University of North Carolina at Charlotte. 18. Random Fields in Oceanographic Modelling, April 1992, University of Miami. 19. Random Fields in Oceanographic Modelling, April 1993, Santa Monica, CA. 20. Workshop on stochastic stability and stochastic stabilization, June 1993, INRIA- Lorraine, Metz, France. 21. AMS Summer Institute on Stochastic Analysis, July 1993, Cornell University. 22. Special Session on Probability, AMS Western Regional Meeting, November 1993, Claremont, California. 23. Workshop on Stochastic Models in Geosystems, Institute for Mathematics and Applications, May 1994, Minneapolis. 24. Midwest Probability Conference, October 1994, Northwestern University. 25. Naval Command Control and Ocean Surveillance Center, October 1994, San Diego, CA. 26. Third International Congress on Industrial and Applied Mathematics (minisymposium on Random Dynamical Systems), July 1995, Hamburg, Germany. 27. Conference on Stochastic Analysis and Applications, July 1995, Gregynog, Wales. 28. Mathematical Theory of Networks and Systems (session on Spectral Theory for Time-Varying Linear Systems), June 1996, St Louis. 29. Asymptotic Methods in Stochastic Dynamics and Nonparametric Statistics, September 1996, Berlin, Germany. 30. Special Session on Probability, AMS Western Regional Meeting, November 1996, Pasadena, California. 31. Conference on Random Dynamical Systems, April 1997, Bremen, Germany. 32. Fourth SIAM Conference on Applications of Dynamical Systems (minisymposium on Random Dynamical Systems), May 1997, Snowbird, Utah. 33. International Probability Symposium (253rd IMS meeting), July 1997, Park City, Utah. 3

4 34. Mathematical Sciences Research Institute (special year on stochastic analysis), March 1998, Berkeley, California 35. LA Dynamics, May 1998, Los Angeles, California. 36. London Mathematical Society conference on Stochastic Analysis, June 1999, Durham, England. 37. Fourth International Congress on Industrial and Applied Mathematics (Mini- Symposium on Applications of Random Dynamical Systems), July 1999, Edinburgh, Scotland. 38. EQUADIFF 99 (Mini-Symposium on Stochastic Systems), August 1999, Berlin, Germany. 39. Berliner Graduiertenkolleg, Stochastische Prozesse und Probabilistische Analysis (4 lectures on Stability, equilibrium and bifurcation for stochastic dynamical systems ), June 2000, Berlin, Germany. 40. Nonlinear and Stochastic Systems and Their Numerics, July 2002, Mathematisches Forschungsinstitut Oberwolfach, Germany. 41. International Union of Theoretical and Applied Mathematics symposium on Nonlinear Stochastic Dynamics, August 2002, Urbana-Champaign, Illinois. 42. Workshop on Stochastic Partial Differential Equations and Related Topics, August 2003, University of Warwick, England. 43. Special Session on Dynamical Systems, AMS Western Regional Meeting, April 2004, University of Southern California, Los Angeles. 44. US-Asian Workshop on Nonlinear Dynamics and Stochastic Partial Differential Equations, May 2004, Beijing, China. 45. Special Session on Randomly perturbed Dissipative Systems, American Institute of Mathematical Sciences 5th International Conference on Dynamical Systems and Differential Equations, June 2004, Cal Poly Pomona. 46. Conference on Random media and Stochastic Partial Differential Equations. June 2005, USC. 47. Mini-Symposium on Nonlinear Stochastic Systems, ENOC-2005: Fifth EUROMECH Nonlinear Dynamics Conference, August 2005, Eindhoven, Holland. 48. Southern California Probability Symposium (special meeting in honor of Ted Harris), February 2007, USC. 49. Conference on Stochastic Dynamical Systems and Control, March 2007, Mathematical Sciences Research Institute, Berkeley, California. 4

5 50. Mathematical Sciences Research Institute (special semester on Dynamical Systems), May 2007, Berkeley, California 51. SIAM Minisymposium on Analysis and Computation of Stochastic Equations, AMS/MAA/SIAM Joint Mathematics Meeting, January 2008, San Diego. 52. Frontier Probability Days, March 2009, Salt Lake City. 53. Opening Workshop for special year on Stochastic Dynamics, Statistical and Applied Mathematical Sciences Institute, August 2009, Research Triangle Park, North Carolina. 54. Special Session on Dynamical Systems, AMS Western Regional Meeting, November 2009, Riverside, California. 55. Workshop on stochastic dynamical systems, Statistical and Applied Mathematical Sciences Institute, February 2010, Research Triangle Park, North Carolina. 56. International Conference on Stochastics and Dynamics, April 2011, Brown University, Providence, RI. 57. Mini-Symposium on Random Dynamical Systems: Recent Advances, New Directions and Applications, ENOC-2011: Seventh European Nonlinear Dynamics Conference, July 2011, Rome, Italy. 58. Workshop on Random Dynamical Systems, Institute for Mathematics and its Applications, October 2012, Minneapolis, Minnesota. Reports and Publications 1. Gaussian measures on function spaces, Amer. Jour. Math. 98 (1976), pp Measures and Markov processes on function spaces, Bull. Soc. Math. France, Memoire 46 (1976), pp Markov processes on manifolds of maps, Bull. Amer. Soc. 82 (1976), pp Wiener processes on manifolds of maps, Proc. Royal Soc. Edinburgh, 87A (1980), pp Stochastic flows and Malliavin calculus, Proc. 20th IEEE Conference on Decision and Control, 1981, pp Brownian motions in the diffeomorphism group I, Compositio Mathematica 53 (1984), pp

6 7. Recurrence of a Diffusion process to a shrinking target, Jour. London Math. Soc. 32 (1985), pp Asymptotic behavior of stochastic flows of diffeomorphisms: two case studies, Probab. Theory Rel. Fields 73 (1986), pp Isotropic stochastic flows (with T.E. Harris), Ann. Probab. 14 (1986), pp The Lyapunov Spectrum of a Stochastic Flow of Diffeomorphisms, Lyapunov Exponents, Bremen 1984, Lect. Notes Math 1186 (1986), pp Springer, Berlin Heidelberg New York. 11. Moment stability and large deviations for linear stochastic differential equations, Proc. Taniguchi Symposium on Probabilistic Methods in Mathematical Physics, Katata and Kyoto (N. Ikeda, ed.) pp Kinokuniya, Tokyo (1986). 12. Asymptotic behavior of stochastic flows of diffeomorphisms, Proc. 15th Conference on Stochastic Processes and their Applications, Nagoya (K. Itô and T. Hida eds) Lect Notes Math 1203 (1986), pp Springer, Berlin Heidelberg New York. 13. Lyapunov exponents and relative entropy for a stochastic flow of diffeomorphisms, Probability Theory and Related Fields 81 (1989), pp Large deviations and stochastic flows of diffeomorphisms (with D.W. Stroock), Probability Theory and Related Fields 80 (1988), pp Statistical equilibrium and two point motion for a stochastic flow of diffeomorphisms, Spatial Stochastic Processes (K. Alexander and J. Watkins, eds) Progress in Probability 19 pp Birkhäuser, Boston Basel Berlin (1991). 16. Invariant measures for nonlinear stochastic differential equations, Lyapunov Exponents. Proc. Oberwolfach (L. Arnold, H. Crauel and J.-P. Eckmann, eds) Lect. Notes Math (1991) pp Springer, Berlin Heidelberg New York. 17. Stability and equilibrium properties for stochastic flows of diffeomorphisms, Diffusion processes and related problems in analysis, Vol II: Stochastic flows. (M. Pinsky and V. Wihstutz, eds) Progress in Probability 27 pp Birkhäuser, Boston Basel Berlin (1992). 18. Stabilization of a linear system via rotational control, (with E. Hennig) Random and Computational Dynamics 1 ( ), pp Kinematic dynamo and intermittence in a turbulent flow, (with B.L. Rozovskii) Geophys. Astrophys. Fluid Dynamics 73 (1993), pp

7 20. A stochastic Hopf bifurcation, Probability Theory and Related Fields 99 (1994), pp Stability index for products of random transformations, (with R. Z. Khasminskii) Advances in Applied Probability 30 (1999), pp Stability along trajectories at a stochastic bifurcation point. In: Stochastic Dynamics (H. Crauel and M. Gundlach, eds), Springer (1999), pp Lyapunov exponents of nilpotent Itô systems with random coefficients, (with L. Goukasian), Stochastic Processes and their Applications 95 (2001), pp Lyapunov exponents for small random perturbations of Hamiltonian systems, (with L. Goukasian), Annals of Probability 30 (2002), pp Lyapunov exponents and resonance for small periodic and random perturbations of a conservative linear system, Stochastics and Dynamics 2 (2002), pp Lyapunov exponents and stability for the stochastic Duffing-van der Pol oscillator, IUTAM Symposium on Nonlinear Stochastic Dynamics (N Sri Namachchivaya and Y.K. Lin, eds), Kluwer Academic, Dordrecht/Boston/London (2003), pp Stochastic averaging and asymptotic behavior of the stochastic Duffing-van der Pol equation, Stochastic Processes and their Applications, 113 (2004), pp Asymptotic stability of the Wonham filter: ergodic and non-ergodic signals, (with P. Chiganski and R Liptster), SIAM Journal on Control and Optimization 43 (2004), pp Renewal theory and computable convergence rates for geometrically ergodic Markov chains, Annals of Applied Probability 15 (2005), Random sources and sinks for stochastic dynamical systems, Proceedings of ENOC-2005: Fifth EUROMECH Nonlinear Dynamics Conference, August Almost sure and moment Lyapunov exponents for a stochastic beam equation, (with M. Picas), Journal of Functional Analysis 243 (2007), Uniform shrinking and expansion under isotropic Brownian flows (with G. Dimitroff), Journal of Theoretical Probability 22 (2009), Sustained oscillations for density dependent Markov processes (with P. Greenwood), Journal of Mathematical Biology, 63 (2011), DOI: /s T.E. Harris s contributions to recurrent Markov processes and stochastic flows, Annals of Probability, 39 (2011),

8 35. A Spectral Analysis of the Sequence of Firing Phases in Stochastic Integrateand-Fire Oscillators (with John Mayberry), submitted (41 pages). 36. Bounded size bias coupling: a gamma function bound and universal Dickmanfunction behavior, (with R. Arratia), Probability Theory and Related Fields, published online July 2014 at DOI: /s x (17 pages). 8