Published Research


(with I. Benjamini & E.A. Feldman) Heat kernel lower bounds on Riemannian manifolds using the old ideas of Nash, Proc. London Math. Soc., 78(1996), 215--240

(with I. Benjamini & E.A. Feldman) Heat kernel bounds on Riemannian manifolds, Proc. Symp. Pure Math., Amer. Math. Soc., 57(1995), 213--225

(with J. Dodziuk) Spectral degeneration of 3-dimensional hyperbolic manifolds, J. Diff. Geom., 39(1994), 123--137

(with E.A. Feldman) Isoperimetric constants and large time heat diffusion in Riemannian manifolds, Proc. Symp. Pure Math., Amer. Math. Soc., 54(1993), Part 3, 111--121

(with L. Karp) Large time behavior of solutions to the heat equation, Proc. Symp. Pure Math., Amer. Math. Soc., 54(1991), Part 3, 123--128

(with L. Karp) Large time behavior of the heat kernel: the parabolic $\lambda$--potential alternative, Comment. Math. Helv., 66(1991), 541--556

(with E.A. Feldman) Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds, Duke Math. J., 64(1991), 473--499

(with E.A. Feldman) Isoperimetric constants, the geometry of ends, and large time heat diffusion in Riemannian manifolds, Proc. London Math. Soc., 62(1991), 427--448

(with E.A. Feldman and J. Rosen) Fluctuations of the Wiener sausage for surfaces, Ann. Prob., 19(1991), 83--141

(with L. Karp) Movement of hot spots in Riemannian manifolds, J. d'Analyse Math., 55(1990), 271--286

(with E.A. Feldman and J. Rosen) Fluctuations of the Wiener sausage for surfaces, Geometry of Random Motion, M. Pinsky & R. Durrett, eds., Contemporary Math., 73(1988), 1--7

(with E.A. Feldman) Spectra of manifolds less a small domain, Duke Math. J., 56(1988), 399--414

Heat diffusion in insulated convex domains, J. London Math. Soc., 34(1986), 473--478

(with E.A. Feldman) The Lenz shift and Wiener sausage in insulated domains, From Local Times to Global Geometry, Control and Physics, K.D. Elworthy, ed., Pitman Research Notes in Math, 150(1986), Longman Scientific & Technical, Essex, 47--67

(with E.A. Feldman) The Lenz shift and Wiener sausage in Riemannian manifolds, Comp. Math., 60(1986), 65--84

(with E.A. Feldman) The Wiener sausage, and a theorem of Spitzer, in Riemannian manifolds, Probability and Harmonic Analysis, J. Chao and W.A. Woyczynski, eds., Marcel Dekker, New York, 1986, 45--60

(with E.A. Feldman) Diffusion on manifolds with small handles, Ind. U. Math. J., 34(1985), 449--461

(with E.A. Feldman) Isoperimetric constants of manifolds with small handles, Math. Z., 184(1983), 435--448

(with E.A. Feldman) Spectra of manifolds with small handles, Comment. Math. Helv., 56(1981), 83--102

(with E.A. Feldman) Isoperimetric inequalities on curved surfaces, Adv. in Math., 37(1980), 83--98

Lowest-eigenvalue inequalities, Proc. Symp. Pure Math., Amer. Math. Soc., 36(1980), 79--90

On A. Hurwitz' method in isoperimetric inequalities, Proc. Amer. Math. Soc., 71(1978), 275--279

(with E.A. Feldman) The spectra of domains in compact manifolds, J. of Func. Anal., 30(1978), 275--289

(with E.A. Feldman) Cylinders on surfaces, Comment. Math. Helv., 53(1978), 439--447

(with E.A. Feldman) An optimal Poincar\'e inequality for convex domains of nonnegative curvature, Arch. Rat. Mech. and Anal., 65(1977), 263--274

(with E.A. Feldman) The first eigenvalue of the Laplacian on manifolds of nonnegative curvature, Proc. Symp. Pure Math., Amer. Math. Soc., 27(1975), 351--354

(with E.A. Feldman) The first eigenvalue of the Laplacian on manifolds of nonnegative curvature, Comp. Math., 29(1974), 43--53

Geodesics and volumes in real projective spaces, J. Diff. Geom., 8(1973), 359--368

Poincar\'e metrics on real projective spaces, Ind. U. Math. J., 23(1973), 95--101

(with H.E. Rauch) Holomorphic embedding of complex curves in spaces of constant holomorphic curvature, Proc. Nat. Acad. Sci., 69(1972), 633--635

Extremal length in real projective spaces, Symposia Matematica, Ist. Naz. di Alta Mat., Rome, 19(1972), 159--167

Non-Riemannian sectional curvature in Riemannian homogeneous spaces, T\^ohuku Math. J., 23(1971), 169--172

On two variational problems in Hermitian geometry, Ind. U. Math. J., 20(1970), 175--183

On a class of Riemannian homogeneous spaces, J. Diff. Geom., 4(1970), 13--20

On Riemannian symmetric spaces of rank one, Adv. in Math., 4(1970), 236--264

On normal Riemannian homogeneous spaces of rank one, Bull. Amer. Math. Soc., 73(1967), 477--481

Isotropic Jacobi fields and Jacobi's equations on Riemannian homogeneous spaces, Comment. Math. Helv., 42(1967), 237--248