101 citations · 319 across the 30 of their papers we have counts for
5 papers · 1 filter
Stochastic Longshore Current Dynamics
Juan M. Restrepo, Shankar C. Venkataramani
We develop a stochastic parametrization, based on a `simple' deterministic model for the dynamics of steady longshore currents, that produces ensembles that are statistically consi…
Elastic sheets, phase surfaces and pattern universes
Alan C. Newell, Shankar C. Venkataramani
We connect the theories of the deformation of elastic surfaces and phase surfaces arising in the description of almost periodic patterns. In particular, we show parallels between a…
Dimension reduction for systems with slow relaxation
Shankar C. Venkataramani, Raman C. Venkataramani, Juan M. Restrepo
We develop reduced, stochastic models for high dimensional, dissipative dynamical systems that relax very slowly to equilibrium and can encode long term memory. We present a variet…
Displacement Data Assimilation
W. Steven Rosenthal, Shankar C. Venkataramani, Arthur J. Mariano +1
We show that modifying a Bayesian data assimilation scheme by incorporating kinematically-consistent displacement corrections produces a scheme that is demonstrably better at estim…
Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets
John Gemmer, Eran Sharon, Toby Shearman +1
The edges of torn plastic sheets and growing leaves often display hierarchical buckling patterns. We show that this complex morphology (i) emerges even in zero strain configuration…