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Shankar Venkataramani | KMap Profile - Institutional Knowledge Map (KMap)
Shankar Venkataramani
Professor, Applied Mathematics - GIDP | Member of the Graduate Faculty | Professor, Mathematics
Mathematics
Map Page
Research Area
material science,
geometry,
physics,
pattern formation,
mechanics,
stochastic processes,
defects,
materials,
mathematics,
data analysis,
nonlocal coupling,
self-organization,
soft matter,
dark matter,
deformation,
random walk
Grants
(10)
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Publications
(68)
Recent
The universal behavior of modulated stripe patterns
2023
pattern formation,
modulation,
universal behavior,
stripe patterns,
physics
Discrete Differential Geometry for C<sup>1,1<sup> Hyperbolic Surfaces of Non-Constant Curvature
2023
differential geometry,
discrete geometry
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
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
Disk galaxies and their dark halos as self-organized patterns
2021
galactic structure,
dark matter,
self-organization,
astrophysics,
galaxy evolution
Pattern dark matter and galaxy scaling relations
2021
dark matter,
galaxy scaling relations,
galactic structure,
cosmology,
astrophysics
Nature's forms are frilly, flexible, and functional
2021
biomimicry,
material science,
adaptive design,
engineering
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
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
A Modified Split Bregman Algorithm for Computing Microstructures Through Young Measures
2021
computational imaging,
optimization,
material science,
image processing,
mathematical modeling
Collaborations
(12)
Hao Zhang
Mutual work: 1 Proposal
Collaboration Details
Nirav Merchant
Mutual work: 1 Proposal
Collaboration Details
Michael Chertkov
Mutual work: 1 Proposal
Collaboration Details
Joceline Lega
Mutual work: 1 Proposal
Collaboration Details
Pierre Deymier
Mutual work: 1 Proposal
Collaboration Details
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News
(1)
UA Faculty Part of Major Study of Gulf Oil Spill
2011
Courses
(17)
Perturbation Methods in Applied Mathematics
Banach and Hilbert Spaces
Real Analysis
Principles and Methods of Applied Mathematics
Introduction to Ordinary Differential Equations
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10+ Collaborators
$1.6M / $2M Funding
9+ Grants
60+ Publications
10+ Courses
