Quantum field theory has been a useful framework for analyzing and understanding the fundamental forces of nature, including electromagnetism, weak and strong interactions. However, when one tries to apply the usual ...
In this thesis, we study the ground-state phases of an extended Bose-Hubbard ladder using the density-matrix renormalization group (DMRG) algorithm. Each chain in the ladder is characterized by an onsite interaction U, ...
The frequency of floods and disasters have been increasing in the past few decades. The
reason behind these incidents could be varied: Climate change, urbanisation and change in
land-use patterns. We have taken the case ...
Predicting range expansions and biological invasions is a central challenge in global change research. While already non-trivial in a purely ecological context, this task becomes truly challenging when rapid evolution comes ...
In this thesis, we explore the effect of single qubit (electron) control techniques like Rabi
oscillations, Free Induction Decay (FID) and Dynamical Decoupling (DD), using microwave
(MW) pulse sequences. We characterize ...
This thesis aims to serve as an introduction to Topological Data Analysis (TDA), a collection
of methods that seek to quantify the topological and geometric features of data using
algebraic topology. The theory behind ...
This project attempts to study an inhomogeneous terminal-value problem related to the
option pricing PDE in a MMGBM model. This problem has not been studied before, to
the best of our knowledge. To begin with, the problem ...
In this project we focus on different deep Learning algorithms for noisy audio enhancement
where traditional Digital signal Processing (DSP) techniques fail to enhance noisy audio clips,
we also worked on the classification ...
Detection of temporally uncertain signals is a common motif in many real world and laboratory settings including tasks that require sustained attention.
While the role of attention in these tasks has been studied ...
We study infectious disease spread through the Indian transportation network in this thesis. We
use a hazard index to quantify the risk faced by 446 Indian cities for an epidemic starting from
any city. This hazard index, ...
Microbiota play an important role in regulating host development, physiology and behavior. The hologenome theory suggests that the host and microbiota form the holobiont upon which selection acts. Variation in the host or ...
This work attempts to study the simplest classical model systems
that describe the physics of phase transitions- nearest neighbour Ising models
using neural networks which are often associated with artificial ...
Modelling the mass distribution of galaxy clusters is pivotal to understand the mass accretion history of the Universe since they are the most massive gravitating objects ever discovered. The Sunyaev-Zel’dovich effect is ...
Porous Coordination Polymers (CPs), a class of hybrid organic-inorganic materials, with permanent porosity, popularly known as Metal-Organic Frameworks (MOFs), have garnered a lot of attention in the last two decades ...
This thesis deals with the problem of correspondence between semisimple algebraic groups defined over some base field 'k' and semisimple algebras with involutions over 'k'. This fundamental problem was first explored by ...
Neutrinos are fundamental yet ill-understood particles in the standard model. The fact that they oscillate among each other is an indication towards non-zero masses of neutrinos. This highlights the limitations of the ...
In this project a ternary regime Markov switching jump diffusion model for financial asset price data is proposed.
Initially, we propose a statistical technique for the detection of jumps and volatility estimation in a ...
Rotation curves of galaxies trace their gravitational potential and provide key information about the mass distribution within them. These were one of the first indicators about the presence of a new form of matter that ...
On 14th September, 2015, the LIGO detectors at Hanford and Livingston observed a gravitational wave signal originating from the merger of two stellar mass black holes. Since then, LIGO has reported the observation of 11 ...
This thesis discusses how inter-layer dipole-dipole interactions (DDIs) introduce structural modifications in dipolar Bose-Einstein condensates (DBECs). We demonstrate this in a bi-layer system with three DBECs. We also ...