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Profile
Shankar Venkataramani
Professor, Applied Mathematics - GIDP | Member of the Graduate Faculty | Professor, Mathematics
Mathematics
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Research
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Collaboration
(12)
Hao Zhang
Mutual work: 1 Proposal
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Nirav Merchant
Mutual work: 1 Proposal
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Michael Chertkov
Mutual work: 1 Proposal
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Joceline Lega
Mutual work: 1 Proposal
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Pierre Deymier
Mutual work: 1 Proposal
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Grants
(10)
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Publications
(68)
Recent
Discrete Differential Geometry for C<sup>1,1<sup> Hyperbolic Surfaces of Non-Constant Curvature
2023
differential geometry,
discrete geometry
The universal behavior of modulated stripe patterns
2023
pattern formation,
modulation,
universal behavior,
stripe patterns,
physics
Erratum: Target patterns in a 2D array of oscillators with nonlocal coupling Nonlinearity 2018) 31 4162) DOI: 10.1088/1361-6544/aac9a6)
2022
oscillator dynamics,
nonlocal coupling,
pattern formation,
2-d arrays,
erratum
Disk galaxies and their dark halos as self-organized patterns
2021
galactic structure,
dark matter,
self-organization,
astrophysics,
galaxy evolution
AN SBV RELAXATION OF THE CROSS-NEWELL ENERGY FOR MODELING STRIPE PATTERNS AND THEIR DEFECTS
2021
pattern formation,
energy modeling,
defects,
stripe patterns,
sbv relaxation
A Modified Split Bregman Algorithm for Computing Microstructures Through Young Measures
2021
computational imaging,
optimization,
material science,
image processing,
mathematical modeling
Remarks on the range and multiple range of a random walk uto the time of exit
2021
random walk,
probability theory,
stochastic processes,
mathematical analysis,
exit time
REMARKS ON THE RANGE AND MULTIPLE RANGE OF A RANDOM WALK UP TO THE TIME OF EXIT
2021
random walk,
probability,
stochastic processes,
mathematical analysis
Nature's forms are frilly, flexible, and functional
2021
biomimicry,
material science,
adaptive design,
engineering
Pattern dark matter and galaxy scaling relations
2021
dark matter,
galaxy scaling relations,
galactic structure,
cosmology,
astrophysics