Dissertation submitted by MP -2013 batch as part of their course. http://hdl.handle.net/123456789/1321 2023-05-15T19:33:24Z 2023-05-15T19:33:24Z Pandey, Mrityunjay Sheet, Goutam http://hdl.handle.net/123456789/1706 2021-12-11T10:25:50Z 2016-05-01T00:00:00Z

Title: Electro - Mechanical and Electrical Charecterisation of Cu2SCdS nano structure using Atomic Force Miroscopy Authors: Pandey, Mrityunjay; Sheet, Goutam Abstract: We report scanning probe microscopy experiments in multiple modes to probe functional electrical properties of the nano-meter scale heterostructures of Cu2S and CdS. While piezo- response force microscopy experiments reveal weak electro-mechanical coupling in the het- erostructures with a piezo-electric d33 coefficient measured to be 13 pc/N. Conductive AFM (atomic force microscopy) experiments indicate that the heterostructures can be used as active electronic circuit substitutes at extremely small length scales. In the study of elec- trical functionality where an electrical contact involving a single heterostructure and an AFM cantilever (Pt-Ir coated silicon nitride) behaves like an active differentiator circuit. Transient response of the circuit indicates strong evidence of the voltage dependence. The overall electrical properties reported here imply that the nano-heterostructures of Cu2S and CdS could find application in nano-meter scale mechanical sensors, actuators and as active circuit components in nanoelectronics.

2016-05-01T00:00:00Z Arora, Shivam http://hdl.handle.net/123456789/650 2021-07-14T07:30:29Z 2016-09-03T00:00:00Z

Title: z-Classes in Finite p-Groups Authors: Arora, Shivam Abstract: The aim of this thesis is to study z-classes in p-groups. Given a group G, two elements x; y 2 G are said to z-equivalent, if their centralizers are conjugate. Apart from its origin from dynamics of geometries, classifying z-classes in groups is of independent interest as well. In this thesis we have specifically studied z-classes in finite p-groups.

2016-09-03T00:00:00Z Goyal, Surender http://hdl.handle.net/123456789/649 2021-07-14T07:31:09Z 2016-09-03T00:00:00Z

Title: Temporal Oscillations in Flowering in Passiflora Incarnata Authors: Goyal, Surender Abstract: Temporal Oscillations in owering of Passiflora Incarnata have been studied over a period of two years. Fourier transform of the temporal behaviour reveals a period of approximately thirty days. Effects to correlate the number of owers with change in temperature and humidity are described.

2016-09-03T00:00:00Z Kumar, Arun http://hdl.handle.net/123456789/622 2021-07-14T07:32:48Z 2016-09-03T00:00:00Z

Title: Ratner’s Theorem on Unipotent Flow Authors: Kumar, Arun Abstract: Unipotent flows are well behaved dynamical systems. In particular, Marina Ratner has shown that the closure of every orbit for such a flow is of nice algebraic(or geometric) form. This is known as the Ratner Orbit Closure Theorem; the Ratner Measure Classification Theorem and the Ratner Equidistribution Theorem are closely related results. After presenting these imporatnt theorems and some of their Consequences, I would discuss the main ideas of the proof. I will present examples that illustrate the theorems, some of their applications, and the main ideas involved in the proof.

2016-09-03T00:00:00Z