I received a Bachelor of Science degree from the University of
Michigan and the Ph.D. degree from Yale University. In addition to
having been a faculty member at the University for 25 years, I have
held research and visiting positions at Penn State University, UCLA,
Princeton University, the University of Geneva, and the
Eigenössiche Technische Hochschule, Zurich.
Research interests:
My research interests in mathematical physics include quantum
mechanics (Schrödinger operators, semi-classical and high-energy
limit problems) and statistical physics (classical and quantum lattice
spin systems). Most recently I have been working in non-equilibrium
statistical mechanics.
Some recent articles include:
(with Luc Rey-Bellet) Exponential
convergence to non-equilibrium stationary states in classical
statistical mechanics. Commun. Math. Phys. 225 (2002) 305-329. reprint.
(with Luc Rey-Bellet) Fluctuations of the entropy production in
anharmonic chains. Ann. Henri Poincare 3 (2002), 483-502. reprint.
(with Almut Burchard) On the Cauchy problem for a dynamical Euler's
elastica, Commun Partial Diff. Equations 28 (1
& 2) (2003) 271-300.
reprint.
(with Luc Rey-Bellet) Low regularity
solutions to a gently stochastic nonlinear wave equation in
nonequilibrium statistical mechanics, Stochastic Processes and
their Applications 115 1041-1059 (2005) reprint
(with Almut Burchard) On an isoperimetric inequality for a
Schrödinger operator depending on the curvature of a loop,
J. Geometric Analysis 15, 543-563 (2005).
reprint.
(with Y. Wang) On a linear stochastic wave equation modeling heat flow,
Contemporary Mathematics 447, Adventures in Mathematical Physics,
ed. F. Germinet and P.D. Hislop, p. 237-248, (2007).
reprint.
(with R.L. Frank, E.H. Lieb, R. Seiringer) Bi-polaron and
N-polaron binding energies
(2010).
arXiv:1004.1196
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