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On the Stability of Certain Riemannian Functionals
(2018-03-06)
Given a compact smooth manifold Mn without boundary and n ≥ 3, the Lp-norm of the curvature tensor,
defines a Riemannian functional on the space of Riemannian metrics with unit volume M1. Consider ...
A Formal Proof of Feit-Higman Theorem in Agda
(2018-02-18)
In this thesis we present a formalization of the combinatorial part of the proof of Feit-Higman theorem on generalized polygons. Generalised polygons are abstract geometric structures that generalize ordinary polygons and ...
Subnormality and Moment Sequences
(2018-03-07)
In this report we survey some recent developments of relationship between Hausdorff moment sequences and subnormality of an unilateral weighted shift operator. Although discrete convolution of two Haudorff moment sequences ...
Operator Theory on Symmetrized Bidisc and Tetrablock-some Explicit Constructions
(2018-07-26)
A pair of commuting bounded operators (S; P ) acting on a Hilbert space, is called a -contraction, if it has the symmetrised bides
= f(z1 + z2; z1z2) : jz1j 1; jz2j 1g C2 as a spectral set. For every -contraction (S; P ), ...
Borsuk-Ulam Theorem And Its Equivalent Formulations
(2011-09-28)
Asymptotic Lower Bound for Quasi Transitive Codes over Cubic Finite Fields
(2018-07-14)
Algebraic geometric codes were first introduced by V.D.Goppa . They were well recognized and developed by Tsfasman, Vladut and Zink because they have parameters better than Gilbert-Varshmov bound and thus giving rise to ...
Multi-scale Modelling of HLA Diversity and Its Effect on Cytotoxic Immune Responses in Influenza H1N1 Infection
(2018-06-06)
Cytotoxic T-lymphocytes (CTLs) are important components of the adaptive immune system and function by scanning the intracellular environment so as to detect and de-stroy infected cells. CTL responses play a major role in ...
Joint Eigenfunctions On The Heisenberg Group And Support Theorems On Rn
(2014-04-07)
This work is concerned with two different problems in harmonic analysis, one on the Heisenberg group and other on Rn, as described in the following two paragraphs respectively.
Let Hn be the (2n + 1)-dimensional Heisenberg ...
A Study Of The Metric Induced By The Robin Function
(2013-09-13)
Let D be a smoothly bounded domain in Cn , n> 1. For each point p _ D, we have the Green function G(z, p) associated to the standard sum-of-squares Laplacian Δ with pole at p and the Robin constant __
Λ(p) = lim G(z, p) ...