101 citations · 319 across the 30 of their papers we have counts for
33 papers
An SBV relaxation of the Cross-Newell energy for modeling stripe patterns and their defects
Shankar C. Venkataramani
We investigate stripe patterns formation far from threshold using a combination of topological, analytic, and numerical methods. We first give a definition of the mathematical stru…
Nature's forms are frilly, flexible, and functional
Kenneth K. Yamamoto, Toby L. Shearman, Erik J. Struckmeyer +2
A ubiquitous motif in nature is the self-similar hierarchical buckling of a thin lamina near its margins. This is seen in leaves, flowers, fungi, corals, and marine invertebrates.…
Pattern dark matter and galaxy scaling relations
Shankar C. Venkataramani, Alan C. Newell
We argue that a natural explanation for a variety of robust galaxy scaling relations comes from the perspective of pattern formation and self-organization as a result of symmetry b…
Distributed branch points and the shape of elastic surfaces with constant negative curvature
Toby L. Shearman, Shankar C. Venkataramani
We develop a theory for distributed branch points and investigate their role in determining the shape and influencing the mechanics of thin hyperbolic objects. We show that branch…
Remarks on the range and multiple range of random walk up to the time of exit
Thomas Doehrman, Sunder Sethuraman, Shankar C. Venkataramani
We consider the scaling behavior of the range and -multiple range, that is the number of points visited and the number of points visited exactly times, of simple rando…
Computing with non-orientable defects: nematics, smectics and natural patterns
Chiqun Zhang, Amit Acharya, Alan C. Newell +1
Defects are a ubiquitous feature of ordered media. They have certain universal features, independent of the underlying physical system, reflecting their topological origins. While…