Duke Math Department Preprint Series: 1998

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DUK-M-98-01: Gregory F. Lawler, A lower bound on the growth exponent for loop-erased random walk in two dimensions, ESAIM: Probability and Statistics, 3 (1999) 1-21; [math.PR/9803034]

DUK-M-98-02: Gregory F. Lawler, Loop-erased walks intersect infinitely often in four dimensions, Electron. Comm. Probab. 3 (1998) 35-42.

DUK-M-98-03: Andrew J. Bernoff, Andrea L. Bertozzi, and Thomas P. Witelski, Axisymmetric surface diffusion: Dynamics and stability of self-similar pinch-off, J. Stat. Phys. 93 (1998) 725-776. (abstract )

DUKE-CGTP-98-01: Paul S. Aspinwall, Aspects of the hypermultiplet moduli space in string duality, J. High Energy Phys. 04 (1998) 019.

DUK-M-98-04: L. Zhornitskaya and A. L. Bertozzi, Positivity preserving numerical schemes for lubrication-type equations, SIAM J. Num. Anal. 37 (2000) 523-555.

DUK-M-98-05: Andrea L. Bertozzi, The mathematics of moving contact lines in thin liquid films, Notices Amer. Math. Soc. 45, no. 6 (June/July 1998), 689-697.

DUK-M-98-06: Mansoor A. Haider and Farshid Guilak, Boundary element analysis of contact problems in cartilage cell mechanics, March, 1998. abstract only; requests for hardcopies of the preprint should be directed to Mansoor Haider.

DUKE-CGTP-98-02: Sonia Paban, Savdeep Sethi and Mark Stern, Constraints from extended supersymmetry in quantum mechanics, Nucl. Phys. B 534 (1998) 137-154.

DUKE-CGTP-98-03: Paul S. Aspinwall and David R. Morrison, Fractional point-like instantons and rational points on elliptic curves, J. High Energy Phys. 07 (1998) 012.

DUKE-CGTP-98-04: Paul S. Aspinwall and Ron Y. Donagi, The heterotic string, the tangent bundle, and derived categories, Adv. Theor. Math. Phys. 2 (1998) 1041-1074.

DUKE-CGTP-98-05: Sonia Paban, Savdeep Sethi and Mark Stern, Supersymmetry and higher derivative terms in the effective action of Yang-Mills theories, J. High Energy Phys. 06 (1998) 012.

DUKE-CGTP-98-06: Paul S. Aspinwall, String theory and duality, Doc. Math. J. DMV Extra Volume ICM II (1998) 229-238.

DUKE-CGTP-98-07: Brian R. Greene, David R. Morrison, and Joseph Polchinski, String theory, Proc. Nat. Acad. Sci. 95 (1998) 11039-11040.

DUK-M-98-07: A. L. Bertozzi, A. Münch, X. Fanton, and A. M. Cazabat, Contact line stability and `undercompressive shocks' in driven thin film flow, Phys. Rev. Lett. 81 (1998) 5169-5172.

DUK-M-98-08: A. L. Bertozzi, A. Münch, and M. Shearer, Undercompressive shocks in thin film flows, Physica D 134:4 (1999) 431-464.

DUKE-CGTP-98-09: Sonia Paban, Savdeep Sethi, and Mark Stern, Summing instantons in three-dimensional Yang-Mills theories, Adv. Theor. Math. Phys. 3 (1999) .

DUK-M-98-09: Gregory F. Lawler, Loop-erased random walk, in: Perplexing Problems in Probability: Festscrift in Honor of Harry Kesten, Birkhauser-Boston, 1999, pp. 197-217.

DUK-M-98-10: Gregory F. Lawler and Emily E. Puckette, The intersection exponent for simple random walk, October, 1998. DVI file or PS file

DUK-M-98-11: Gregory F. Lawler, Geometric and fractal properties of Brownian motion and random walk in two and three dimensions, Bolyai Mathematical Society Studies 9 (1999) 219-258.

DUKE-CGTP-98-10: Eric R. Sharpe, Kähler cone substructure, Adv. Theor. Math. Phys. 2 (1998) 1441-1462.

DUKE-CGTP-98-08: David R. Morrison and M. Ronen Plesser, Non-spherical horizons, I, Adv. Theor. Math. Phys. 3 (1999) .

DUK-M-98-12: A. Münch and A. L. Bertozzi, Rarefaction-undercompressive fronts in driven films, Physics of Fluids (Letters) 11:10 (1999) 2812-2814.

DUK-M-98-13: Gregory F. Lawler and Wendelin Werner, Intersection exponents for planar Brownian motion, Annals of Probability 27 (1999) 1601-1642.

DUKE-CGTP-98-11: Robert L. Bryant and Eric R. Sharpe, D-Branes and Spinc Structures, Phys. Lett. B 450 (1999) 353-357.

DUK-M-98-14: L. Kondic and A. Bertozzi, Thin liquid films: instabilities of driven coating flows on a rough surface, in: Dynamics in Small Confined Systems IV, ed. J. M. Drake, G. S. Grest, J. Klafter, and R. Kopelman, Materials Research Society Symposium Proceedings, Vol. 543, pages 213-218, 1999.

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