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, semiclassical and highenergy
limit problems) and statistical physics (classical and quantum lattice
spin systems). Most recently I have been working in nonequilibrium
statistical mechanics.
Some recent articles include:
(with Luc ReyBellet) Exponential
convergence to nonequilibrium stationary states in classical
statistical mechanics. Commun. Math. Phys. 225 (2002) 305329. reprint.
(with Luc ReyBellet) Fluctuations of the entropy production in
anharmonic chains. Ann. Henri Poincare 3 (2002), 483502. reprint.
(with Almut Burchard) On the Cauchy problem for a dynamical Euler's
elastica, Commun Partial Diff. Equations 28 (1
& 2) (2003) 271300.
reprint.
(with Luc ReyBellet) Low regularity
solutions to a gently stochastic nonlinear wave equation in
nonequilibrium statistical mechanics, Stochastic Processes and
their Applications 115 10411059 (2005) reprint
(with Almut Burchard) On an isoperimetric inequality for a
Schrödinger operator depending on the curvature of a loop,
J. Geometric Analysis 15, 543563 (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. 237248, (2007).
reprint.
(with R.L. Frank, E.H. Lieb, R. Seiringer) Bipolaron and
Npolaron binding energies
(2010).
arXiv:1004.1196
