CUNY Geometric Analysis Conference
The Laplace and Length Spectra
February 3-5, 2006
Participants, Reprints and Preprints:
Participants may submit links to their related preprints when they register.
suzukic at oldwestbury.edu
Aloff-Wallach Spaces: Volumes, Curvatures, Injectivity Radii"
preprint
artasergen (at) yahoo.com
"A Generalization of the Prime Geodesic Theorem to Counting Conjugacy Classes
of Free Subgroups of a Hyperbolic Group"
preprint
abulawa@math.sunysb.edu
Talk: TBA
calle (at) cims.nyu.edu
"Eigenvalues of (-\Delta +R/2) on Manifolds with Nonnegative Curvature Operator" preprint
"Compact Gradient Shrinking Ricci Solitons with Positive Curvature Operator." preprint
"Bottleneck Constants of Finite Graphs"
preprint
"The Laplacian on Riemannian manifolds", Spectral Theory and Geometry, ed. E.B. Davies & Y. Safarov, London Math. Soc. Lecture Note Ser., 273(1999), Cambridge U. Press, Cambridge, 30--75
survey article
"Eigenvalues in Riemannian Geometry" (with chapter by B. Randol and appendix by J. Dodziuk), Pure and Applied Mathematics 115, Academic Press, Orlando, 1984 book
ccherif@bmcc.cuny.edu
Talk: "Some rigidity and stability results of sharp
isoperimetric inequalities"
"Lengths and Volumes in Riemannian Manifolds" with Nurlan S. Dairbekov,
Duke Math. J. 125 (2004), no. 1, 1--14.
preprint.
Two related survey articles are links 37 and 39 on his
paper list.
"Kato's inequality and asymptotic spectral properties for discrete
magnetic Laplacians" (with M. Varghese), to appear in ``Ubiquitous
Heat Kernel'', Contemporary Mathematics, (2006),
preprint.
Alexandre.Engoulatov at math.u-psud.fr
"A universal bound on the gradient of logarithm of the heat
kernel for manifolds with bounded Ricci curvature." preprint
"Coincidence of length
spectra does not imply isospectrality",
(with Peter Kuchment), Inverse Problems 21 (2005)
1391-1395, eprint.
"Global and local vacuum energy and closed orbit theory", in
Proceedings of the 6th Workshop on Quantum Field Theory under the
Influence of External Conditions (Norman, OK, Sept. 2003), 2004, pp. 166-174,
eprint
"Infinitesimal Isospectral Deformations of the Grassmannian of
$3$-planes in $\R^6$ hg at math.columbia.edu
Talk: "The torus action method for isospectrality in the compact and
noncompact settings"
"Continuous Families of Isophasal Scattering Manifolds" (with P.
Perry) eprint
"Isospectral and Isoscattering Manifolds: A Survey of Examples"
(with P. Perry and D. Schueth) reprint
Talk: "Laplace and Length Spectra and the Wave Invariants on
Riemannian Two-Step Nilmanifolds"
"Riemannian Nilmanifolds, the Wave Trace, and the Length Spectrum"
preprint
"Riemannian nilmanifolds and the trace formula". Trans. Amer. Math. Soc. 357 (2005), no. 11, 4445--4479
eprint
"The length spectrum of Riemannian two-step nilmanifolds" (with Maura B. Mast) Ann. Sci. Ecole Norm. Sup. (4) 33 (2000), no. 2, 181--209.
reprint
nhandson (at) math.columbia.edu
hech AT math.upenn.edu
Talk: "The Loop Product and Closed Geodesics"
"Subharmonic Solutions of Hamiltonian Equations on Tori"
preprint
david (at) math.stanford.edu
"Small Eigenvalues and maximal laminations on complete surfaces of
negative curvature"preprint
nkalogeropoulos (at) bmcc.cuny.edu
nkatz (at) citytech.cuny.edu
Talk: "Spectral Asymptotics of Heisenberg Manifolds"
Doctoral Thesis completed under John Toth's supervision,
thesis.pdf
Two other related articles are here
Talk:
"Lipschitz Continuity of the Spectra of the Magnetic Transition Operators on a Crystal Lattice"
preprint
"The length of closed geodesics on random Riemann Surfaces".
preprint
"Minimal marked length spectrum of Riemannian two-step nilmanifolds"
(with Ruth Gornet) Michigan Mathematics Journal, 52, (2004), no. 3,
683--716
mmunn at gc.cuny.edu
Talk: "Curvature-free estimates for minimal surfaces and geodesics
between points".
"Lengths of geodesics between two points on a Riemannian manifold"
(with Regina Rotman), preprint
"Analysis of the cut locus via the heat kernel"
(with D. Stroock), Surveys
in Differential Geometry, Vol. 9, International Press, Boston (2004),
337-349.
preprint
EOkoh at gc.cuny.edu
"Equidistribution of geodesics on homology classes and analogues for
free groups" (with M. S. Risager), preprint
"The distribution of values of the Poincare pairing for hyperbolic
Riemann surfaces" (with M. S. Risager), J. Reine Angew. Math. 579 (2005)
159-173.
preprint
Talk: "The spectral function and the remainder in
local Weyl's law: View from below"
"Estimates from below for the spectral function and for the remainder in local Weyl's law" (with Dmitry Jakobson) preprint
" Lower bounds for the spectral function and the remainder in local Weyl's law on manifolds", (with Dmitry Jakobson) Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 71-77.
eprint
lprado (at) gc.cuny.edu
"Isospectral Metrics and Potentials on Classical Compact Simple
Lie Groups" Michigan Mathematical Journal, 2005.
eprints
maria.psarelli@bcc.cuny.edu
"Approximation of Measures on S^n by discrete Measures"
(with Marina Nechayeva)
preprint
"A prime geodesic analogue of the twin prime conjecture"
preprint
"Equidistribution of geodesics on homology classes and analogues
for free groups" (with Y. N. Petridis),
preprint
rochon (at) math.sunysb.edu
Talk: "The length of a shortest periodic geodesic and a
shortest geodesic loop at a point"
"The length of a shortest closed geodesic on a two-dimensional sphere and coverings by metric balls." Geom. Dedicata 110 (2005), 143--157.
preprint
"The length of a shortest geodesic loop at a point" preprint
"The length of a shortest geodesic net on a closed Riemannian manifold"
preprint
julimari (at) math.stanford.edu
Talk: "Reciprocal geodesics on the modular surface"
Letter to J. Davis about Reciprocal Geodesics
the letter
"Properties of the solutions of the conjugate heat equation (math.DG/0601415)
The compactness result for K\"ahler Ricci solitons (math.DG/0504526)
"The Covering Spectrum of a Compact Length Space"
(with Guofang Wei), Journal of Differential Geometry 67 (2004) 35-77,
reprint.pdf.
"The Length Spectrum and Convergence",
eprint
"One cannot hear orbifold isotropy type," (with Naveed Shams and
David L. Webb. accepted by Archiv der Mathematik
preprint
"Spectral bounds on orbifold isotropy," Annals of
Global Analysis and Geometry 27 (2005), no. 4, 355-375.
eprint
"Spectral Invariants and playing Hide--And--Seek on surfaces " (with
Peter Doyle)
preprint
"Blowing bubbles on the torus" (with Peter Doyle) preprint
Talk: ``Perturbation techniques in geometry"
"Isospectral simply connected homogeneous spaces and the spectral rigidity of group actions", Comment. Math. Helv. 77 (2002), 701-717. eprint
Talk: "Laplace Spectra on Open and Compact Zeeman Manifolds"
abstract
"A cornucopia of isospectral pairs of metrics on spheres with
different local geometries" Annals of Mathematics 161, no 1 (2005), 343-395. reprint
"Theory of Zones on Zeeman manifolds: A new approach to the infinities of QED" preprint
Talk: "Scattering theory on symmetric spaces and N-body scattering".
"Free Energy as a Dynamical Invariant (or Can You Hear the Shape of a Potential?)" (with M. Pollicott) Comm. Math. Physics preprint
"Free Energy as a Geometric Invariant" (with Mark Pollicott) Comm. of Math. Physics, preprint
"Isoperimetric inequalities of Euclidean type in metric spaces"
Geom. Funct. Anal. 15 (2005), no. 2, 534--554. reprint
szahariev (at) gc.cuny.edu