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Sparse bounds for various spherical maximal functions
Harmonic analysis mainly deals with the qualitative and quantitative properties of functions
and transforms of those functions. It has applications in various areas of Mathematics like PDE,
Differential geometry, Ergodic ...
Electrical transport in 3-dimensional topological insulators
Topological insulators (TI) are a new class of materials in which gapped bulk states coexist with gapless surface-states having linear energy-momentum dispersion relation protected by time-reversal symmetry. These ...
Physics and application of charge transfer in van der Waals heterostructures
Since the discovery of graphene, the field of 2D materials has garnered massive interest from a materials science, basic physics and device application point of view. This
results from the diverse range of electronic and ...
A Theoretical Study of Thermoelectric Effect for Cross-plane Transport Across Twisted Bilayer Graphene
The thermoelectric effect and the linear response theory is one of the most studied areas in condensed matter physics. In the last few years, the study of Van Der Waals heterostructure has become one of the most promising ...
Geometric invariants for a class of submodules of analytic Hilbert modules
Let $\Omega \subseteq \mathbb C^m$ be a bounded connected open set and $\mathcal H \subseteq \mathcal O(\Omega)$ be an analytic Hilbert module, i.e., the Hilbert space $\mathcal H$ possesses a reproducing kernel $K$, the ...
Dynamics and Organization of Passive and Magnetically Driven Colloids Under Optical Confinement
The physics of confined systems of interacting particles has been a subject of active research for more than a century. Such systems are ubiquitous in nature - examples include petroleum in porous rocks, cytoplasm in ...
Synthesis, Characterisation and Optimisation of ZnO Thin film & Nanowire array for Dynamic Pressure Sensing Application
Piezoelectric technology based dynamic pressure sensors are widely used for the measurement of rapid pressure variations with respect to time. Quartz is the piezoelectric material ruling the dynamic pressure sensor industry ...
Numerical Methods for Elliptic Variational Inequalities in Higher Dimensions
The main emphasis of this thesis is on developing and implementing linear and quadratic
finite element methods for 3-dimensional (3D) elliptic obstacle problems. The study consists
of a priori and a posteriori error ...
Rapid Lightsheet Volume Imaging For Developmental Biology
Optical fluorescence microscopy is one of the key tool, that is indispensable for the study
of complex and dynamic biological processes. Key issues associated with the existing fluorescence
imaging systems are, ...
Computational Studies on Structures and Functions of Single and Multi-domain Proteins
(2018-05-25)
Proteins are essential for the growth, survival and maintenance of the cell. Understanding the functional roles of proteins helps to decipher the working of macromolecular assemblies and cellular machinery of living ...