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Now showing items 121-130 of 155
Exploring Polynomial Convexity Of Certain Classes Of Sets
(2011-07-18)
Let K be a compact subset of Cn . The polynomially convex hull of K is defined as The compact set K is said to be polynomially convex if = K. A closed subset is said to be locally polynomially convex at if there ...
The Space of Metric Measure Spaces
(2018-05-22)
This thesis is broadly divided in two parts. In the first part we give a survey of various distances between metric spaces, namely the uniform distance, Lipschitz distance, Hausdor distance and the Gramoz Hausdor distance. ...
Riemann Roch Theorem For Algebraic Curves
(2011-09-28)
Some Aspects Of The First Passage Time Problem In Neuroscience
(2011-08-08)
In the stochastic modeling of neurons, the first passage time problem arises as a natural object of study when considering the inter spike interval distribution. In this report, we study some aspects of this problem as it ...
Hand-Movement Prediction Using LFP Data
(2011-08-08)
The last decade has seen a surge in the development of Brain-Machine Interfaces (BMI) as assistive neural devices for paralysis patients. Current BMI research typically involves a subject performing movements by controlling ...
Correlation Functions in the Finite Toom Model
This thesis is divided into four chapters. In Chapter 1, we give some basic definitions and
results that we need throughout the thesis. In Chapter 2, we describe the pn0;n1q-Toom model
and prove some known results about ...
Decomposition of the tensor product of Hilbert modules via the jet construction and weakly homogeneous operators
Let ½ Cm be a bounded domain and K :£!C be a sesqui-analytic function. We show
that if ®,¯ È 0 be such that the functions K® and K¯, defined on £, are non-negative
definite kernels, then theMm(C) valued function
...
A Study of Some Conformal Metrics and Invariants on Planar Domains
The main aim of this thesis is to explain the behaviour of some conformal metrics and invariants
near a smooth boundary point of a domain in the complex plane. We will be interested
in the invariants associated to the ...
Duality for Spaces of Holomorphic Functions into a Locally Convex Topological Vector Space
Consider an open subset O of the complex plane and a function f : O ÝÑ C. We understand
the concept of holomorphicity of a complex-valued function. Suppose a function f defined
on O takes values in a locally convex ...
Characterization of Brain Signals Across Scales Using Temporally Modulated Visual Stimuli
Electrical signals from the brain can be recorded at several different scales, ranging
from spiking activity to local field potential (LFP) in animals to scalp
electroencephalogram (EEG) in humans. Each signal represents ...