**Preprints**-
- An Experimental Study of Shape Transitions and Energy Scaling in Thin Non-Euclidean Plates
,Y.Klein, S.C.Venkataramani and E.Sharon,
*preprint*(2009). - A variational theory for point defects in patterns
, N.M.Ercolani and S.C.Venkataramani,
*preprint*, Also in print J. Nonlinear Sci., (2007). - Discrete Charges
on a two Dimensional Conductor, Marko Kleine Berkenbusch,
Isabelle Claus, Catherine Dunn, Leo P. Kadanoff, Maciej Nicewicz
and Shankar C. Venkataramani,
*preprint*, Submitted to J. Stat. Phys., (2003). - Multiple scale behaviors in nonconvex
variational problems, S. C. Venkataramani,
*preprint*(2003). - The energy of
crumpled sheets in Föppl-von Kármán plate theory,
S. C. Venkataramani,
*preprint*, Submitted to J. Nonlinear Sci., (2003).

- An Experimental Study of Shape Transitions and Energy Scaling in Thin Non-Euclidean Plates
,Y.Klein, S.C.Venkataramani and E.Sharon,
**Papers in refereed journals**-
- Lower bounds for
the energy in a crumpled elastic sheet - A minimal ridge,
S. C. Venkataramani,
*preprint*, Nonlinearity (in press). - Trapping of
vibrational energy in crumpled sheets, A. Gopinathan, T. A.
Witten, and S. C. Venkataramani, Phys. Rev. E
**65**, 036613 (2002). - Singularities,
structures and scaling in deformed m-dimensional elastic
manifolds, B. A. DiDonna, T. A. Witten, S. C. Venkataramani and
E. M. Kramer, Phys. Rev. E
**65**, 016603 (2002). - Front
propagation of spatiotemporal chaos, J. W. Kim, J. Y. Vaishnav,
E. Ott, S. C. Venkataramani and W. Losert, Phys. Rev. E
**64**, 016215 (2001). - Pattern selection in extended,
periodically forced systems : A Continuum coupled map approach,
S. C.Venkataramani and E. Ott, Phys. Rev. E,
**63**, 046202 (2001). - Limitations on
the smooth confinement of an unstretchable manifold,
S. C. Venkataramani, T. A. Witten, E. M. Kramer and R. P. Geroch,
J. Math. Phys.
**41**, 5107 (2000). - Attraction, Diffusion and
Collapse, M. P. Brenner, P. Constantin, L.P. Kadanoff,
A. Schenkel and S. C. Venkataramani, Nonlinearity
**12**, 1071 (1999). - Noise
stabilization of self-organized memories, M. L. Povinelli,
S. N. Coppersmith, L. P. Kadanoff, S. R. Nagel, and S. C.
Venkataramani, Phys. Rev. E
**59**, 4970 (1999). - Spatio-Temporal Bifurcation Phenomena
with Temporal Period doubling: Patterns in Vibrated Sand,
S. C. Venkataramani and E. Ott, Phys. Rev. Lett.
**80**, 3495 (1998). - Anomalous diffusion in bounded
temporally irregular flows, S. C. Venkataramani, T.M. Antonsen
Jr. and E. Ott, Physica D
**112**, 412 (1998). - Self-Organized
Short-Term Memories, S.N. Coppersmith, T.C. Jones, L.P. Kadanoff,
A. Levine, J.P. McCarten, S.R. Nagel, S.C. Venkataramani, Xinlei Wu,
Phys. Rev. Lett.
**78**, 3983 (1997). - Lévy flights in fluid flows with
no KAM surfaces, S.C. Venkataramani, T.M. Antonsen Jr. and E. Ott,
Phys. Rev. Lett.
**78**, 3874 (1997). - Transitions to Bubbling of Chaotic systems,
S.C. Venkataramani, B.R. Hunt, E. Ott, D.J. Gauthier and
J.C. Bienfang, Phys. Rev. Lett.
**77**, 5361 (1996). - Bubbling Transition, S.C. Venkataramani, B.R. Hunt and
E. Ott, Phys. Rev. E
**54**, 1346 (1996). - On-off intermittency: Power spectrum and fractal properties of
time series, S.C. Venkataramani, T.M. Antonsen Jr., E. Ott snd
J.C. Sommerer, Physica D
**96**, 66 (1996). - Riddling bifurcation in Chaotic Dynamical Systems, Y.C. Lai,
C. Grebogi, J.A. Yorke and S.C. Venkataramani, Phys. Rev. Lett.
**77**, 55 (1996). - Characterization of on-off intermittent time series, S.C.
Venkataramani, T.M. Antonsen Jr., E. Ott snd J.C. Sommerer, Phys.
Lett. A
**207**, 173 (1995). - Topology of event
horizons and topological censorship, T. Jacobson and
S. Venkataramani, Classical and Quantum Grav.
**12**, 1055 (1995).

- Lower bounds for
the energy in a crumpled elastic sheet - A minimal ridge,
S. C. Venkataramani,
**Popular Expositions, Conference Proceedings and Technical Reports**-
- Continuum Coupled Maps: A model for pattern formation in
vibrated sand, E. Ott and S. C. Venkataramani in
*Proceedings of the 5th Experimental Chaos conference : June 28 - July 1, 1999, Orlando, Florida*, World Scientific, Singapore (2001). - Blowup in the chemotaxis equation,
M. P. Brenner, P. Constantin, L. P. Kadanoff, A. Schenkel and
S. C. Venkataramani, Technical report (1999).
- Cones, creases and crumpled sheets, S. Venkataramani,
Physics World
**11**:(7), 19 (1998). - Blowout bifurcations: Symmetry breaking of spatially symmetric
chaotic states, E. Ott, J.C. Sommerer, T.M. Antonsen Jr. and S.
Venkataramani, in
*Lévy flights and related topics in physics: Proceedings of the international workshop held at Nice, France, 27-30 June 1994*, Springer (1995).

- Continuum Coupled Maps: A model for pattern formation in
vibrated sand, E. Ott and S. C. Venkataramani in

Reprints of most of the published papers can be obtained by sending me an e-mail at

Department of Mathematics

5734 S. University Ave.

University of Chicago

Chicago, IL 60637

shankar@math.uchicago.edu