Open Access. Powered by Scholars. Published by Universities.®
- Discipline
- Keyword
-
- Mathematics (204)
- Computer science (102)
- Algorithms (83)
- Statistics (79)
- Algebra (61)
-
- Probability (48)
- Engineering (40)
- Optimization (38)
- Decomposition (35)
- Maps (35)
- Equilibrium (33)
- South Asian studies (30)
- Design (28)
- Inequality (28)
- Civil engineering (27)
- Hilbert space (27)
- Households (24)
- Agriculture (23)
- Artificial intelligence (23)
- Construction (23)
- Finance (23)
- Neighborhoods (22)
- Expenditures (21)
- Eigen values (20)
- Mathematical functions (20)
- Competition (19)
- Prices (19)
- Banach spaces (18)
- Decision making (18)
- Neural networks (18)
- Publication Year
Articles 121 - 150 of 460
Full-Text Articles in Mathematics
Blackbox Reduction Of Some Cryptographic Constructions., Rishiraj Bhattacharyya Dr.
Blackbox Reduction Of Some Cryptographic Constructions., Rishiraj Bhattacharyya Dr.
Doctoral Theses
No abstract provided.
Essays On Group Deviation., Conan Mukherjee Dr.
Spectrum Estimation With Uniformly And Stochastically Sampled Data: Some Challenges And Strategies., Radhendushka Srivastava Dr.
Spectrum Estimation With Uniformly And Stochastically Sampled Data: Some Challenges And Strategies., Radhendushka Srivastava Dr.
Doctoral Theses
No abstract provided.
Essays On Regular Variations In Classical And Free Setup: Randomaly Weighted Sums, Products In Cevm And Free Subexponentiality., Rajat Subhra Hazra Dr.
Essays On Regular Variations In Classical And Free Setup: Randomaly Weighted Sums, Products In Cevm And Free Subexponentiality., Rajat Subhra Hazra Dr.
Doctoral Theses
In this thesis, we shall be focusing on some problems in probability theory involving regularly varying functions. The theory of regular variations has played an important role in probability theory, harmonic analysis, number theory, complex analysis and many more areas of mathematics. For an encyclopedic treatment of the subject, we refer to Bingham et al. (1987). In probability theory, the limiting behavior of the sums of independent and identically distributed (i.i.d.) random variables is closely related to regular variation. The books by Feller (1971) and Gnedenko and Kolmogorov (1968) give characterizations of random variables in the domains of attraction of …
Essays In The Economics Of Environmental Policy., Ashokankur Datta Dr.
Essays In The Economics Of Environmental Policy., Ashokankur Datta Dr.
Doctoral Theses
It is increasingly being accepted that the planet we live in is unable to fulfill the enormous resource demands that mankind places on it. As a result the environment we live in has undergone rapid changes in the last two centuries - changes that adversely affects human life. Long ago Thomas Malthus and more recently the Club of Rome researchers warned that rapid economic and population growth were going to be unsustainable as they are going to create an acute shortage of food and vital metals like mercury. Their predictions never passed the test of time (Sterner, 2003). However their …
Ball Remotality In Banach Spaces And Related Topics., Tanmoy Paul
Ball Remotality In Banach Spaces And Related Topics., Tanmoy Paul
Doctoral Theses
In this project we aim to study Ball Remotality and densely Ball Remotality of subspaces in Banach spaces. We study this property in many classical spaces of type c0, c,\\â„“p and C(K) where K is a compact Hausdorff space. The said problem also discussed for Banach spaces when considered as a subspace in its bidual. It is observed M-ideals in C(K) are densely ball remotal. It is shown that a particular type of M-ideal in A(K) where K is a Choquet simplex is densely ball remotal.
Some Results On Cryptanalysis Of Rsa And Factorization., Santanu Sarkar Dr.
Some Results On Cryptanalysis Of Rsa And Factorization., Santanu Sarkar Dr.
Doctoral Theses
In this thesis, we propose some new results in Cryptanalysis of RSA and related Factorization problems. Till date, the best known algorithm to solve the Integer Factorization problem is the Number Field Sieve, which has a runtime greater than exp(log1/3 N) for factoring an integer N. However, if one obtains certain information about the RSA parameters, there are algorithms which can factor the RSA modulus N = pq quite efficiently. The intention of this thesis is to identify such weaknesses of the RSA cryptosystem and its variants. Further we study results related to factorization.In Africacrypt 2008, Nitaj presented a class …
Some Aspects Of Toric Topology., Soumen Sarkar Dr.
Some Aspects Of Toric Topology., Soumen Sarkar Dr.
Doctoral Theses
The main goal of this thesis is to study the topology of torus actions on manifolds and orbifolds. In algebraic geometry actions of the torus (C * ) n on algebraic varieties with nice properties produce bridges between geometry and combinatorics see [Dan78], [Oda88] and [Ful93]. We see a similar bridge called moment map for Hamiltonian action of compact torus on symplectic manifolds see [Aud91] and [Gui94]. In particular whenever the manifold is compact the image of moment map is a simple polytope, the orbit space of the action. A topological counterpart called quasitoric manifolds, a class of topological manifolds …
Simplicial Bredon-Illman Cohomology With Local Coefficients., Debashis Sen Dr.
Simplicial Bredon-Illman Cohomology With Local Coefficients., Debashis Sen Dr.
Doctoral Theses
The notion of cohomology with local coefficients for topological spaces arose with the work of Steenrod [Ste43, Ste99], in connection with the problem of extending sections of a fibration. This cohomology is built on the notion of fundamental groupoid of the space and can be described by the invariant cochain subcomplex of the cochain complex of the universal cover under the action of the fundamental group of the space. This later description is due to Eilenberg [Eil47]. Cohomology with local coefficients finds applications in many other situations.We focus on one such application of this cohomology which is due to S. …
Spectral Properties Of Large Dimensional Random Circulant Type Matrices., Koushik Saha Dr.
Spectral Properties Of Large Dimensional Random Circulant Type Matrices., Koushik Saha Dr.
Doctoral Theses
Consider a sequence of matrices whose dimension increases to infinity. Suppose the entries of this sequence of matrices are random. These matrices with increasing dimension are called large dimensional random matrices (LDRM).Practices of random matrices, more precisely the properties of their eigenvalues, has emerged first from data analysis (beginning with Wishart (1928) [132]) and then from statistical models for heavy nuclei atoms (beginning with Wigner (1955) [130]). To insist on its physical applications, a mathematical theory of the spectrum of the random matrices began to emerge with the work of E. P. Wigner, F. J. Dyson, M. L. Mehta, C. …
Distributed Algorithms For Initialization And Topology Control In Wireless Ad Hoc Networks., Subhasis Bhattacharjee Dr.
Distributed Algorithms For Initialization And Topology Control In Wireless Ad Hoc Networks., Subhasis Bhattacharjee Dr.
Doctoral Theses
Wireless ad hoc networking is an upcoming communication technology that makes exchange of information possible without any pre-existing infrastructure. Over the last decade it has grabbed tremendous interest in the research community due to its easy deployability and high flexibility, with numerous applications to social, industrial and personal uses. In this thesis, we designed effcient light weight distributed algorithms based on minimal local information to resolve the problems related to the initialization and topology configuration of wireless ad hoc networks with special emphasis on optimal utilization of limited resources. Once the ad hoc nodes with in-built radio transceivers are deployed …
Income Inequality And Spatial Distribution : Firm Location, Product Quality And Welfare Of Poor., Namrata Gulati Dr.
Income Inequality And Spatial Distribution : Firm Location, Product Quality And Welfare Of Poor., Namrata Gulati Dr.
Doctoral Theses
The key idea explored in this thesis is the following: though being poor in itself is a huge disadvantage, the situation might be influenced considerably by the type of neighbourhood the poor lives in as private establishments like educational institutions, health care facilities or credit institutions take both the location and income mix of people into account while making strategic decisions like whether to enter into the neighbourhood at all, and, upon entry, what price and quality to choose for their products and services. Is staying with the rich a virtue for the poor or a source of resentment? Are …
Geometric Invariants For A Class Of Semi-Fredholm Hilbert Modules., Shibananda Biswas Dr.
Geometric Invariants For A Class Of Semi-Fredholm Hilbert Modules., Shibananda Biswas Dr.
Doctoral Theses
One of the basic problem in the study of a Hilbert module H over the ring of polynomials C[z] := C[z1, . . . , zm] is to find unitary invariants (cf. [15,7]) for H. It is not always possible to find invariants that are complete and yet easy to compute. There are very few instances where a set of complete invariants have been identified. Examples are Hilbert modules over continuous functions (spectral theory of normal operator), contractive modules over the disc algebra (model theory for contractive operator) and Hilbert modules in the class Bn for a bounded domain C …
Public Policy, Long Run Growth And Economic Transition From Agriculture To Industrial Mass Production., Rudrani Bhattacharya Dr.
Public Policy, Long Run Growth And Economic Transition From Agriculture To Industrial Mass Production., Rudrani Bhattacharya Dr.
Doctoral Theses
It has been recognized that the heart of the development process lies on the transformation of an economy from traditional activities in agriculture to industrial activities. As emphasized by Lewis (1954), the movement of labor from primary sector to industry is conducive to the rise of economy’s savings and investment rate and thus fostering economic growth. The core of this paradigm is the historically observed rapid growth in today’s developed countries associated with expansion of industrial activities.It is well-documented by now that at least over a few centuries leading up to 1800 AD there was little change in the world …
Wealth Inequality And Economic Performances., Sahana Roy Chowdhury Dr.
Wealth Inequality And Economic Performances., Sahana Roy Chowdhury Dr.
Doctoral Theses
Ever since the inception of Development Economics as a separate discipline inequality has been a major area of extensive study. Economists and researchers have deliberated both on the causes and the effects of inequality in a wide range of treatise, books and essays. So far, in this regard, two fundamental approaches came across viz., the Classical approach and the Credit Market Imperfection approach. The Classical approach was originated by Smith (1937) and was further interpreted and developed by Keynes (1920), Lewis (1954), Kaldor (1957), and Bourguignon (1981). According to this approach, savings rate is an increasing function of wealth and …
Studies On Public Key And Identity-Based Cryptographic Primitives., Mahabir Prasad Jhanwar Dr.
Studies On Public Key And Identity-Based Cryptographic Primitives., Mahabir Prasad Jhanwar Dr.
Doctoral Theses
No abstract provided.
Sampling 'Survey Populations': Some Problems And Their Solutions., Kajal Dihidar Dr.
Sampling 'Survey Populations': Some Problems And Their Solutions., Kajal Dihidar Dr.
Doctoral Theses
In this thesis we study some problems in survey sampling and propose their solutions. The thesis is divided into seven chapters, the first being an introductory one. Chapters 2-4 relate to surveys with direct responses, while Chapters 5-7 deal with randomized responses. We begin by introducing the motivations behind the principal problems studied in this thesis.The first problem arose while developing a survey where the objective was to estimate the tot al number of workers in different industries in the rural unorganized sector in a district of the state of West Bengal, India. For this, the technique of adaptive sampling …
Selected Aspects Of Performance Of Indian Industries: An Empirical Investigation., Anup Kumar Bhandari Dr.
Selected Aspects Of Performance Of Indian Industries: An Empirical Investigation., Anup Kumar Bhandari Dr.
Doctoral Theses
At the time of India’s independence the need of the hour was to develop the economy at a fast pace so as to achieve a reasonable standard of living for the masses within a short period of time. India’s first Industrial Policy Resolution was adopted in 1948 which put emphasis on the expansion of production of both agricultural and industrial goods to satisfy the basic needs of the masses, a large proportion of whom lived well below a subsistence level of living. Hence, emphasis was given on agricultural expansion in the First Five Year Plan and on building up the …
Quantum Stochastic Flows: Trotter Product Formula, Dilations And Quantum Brownian Motion., Biswarup Das Dr.
Quantum Stochastic Flows: Trotter Product Formula, Dilations And Quantum Brownian Motion., Biswarup Das Dr.
Doctoral Theses
Motivated by the major role played by probabilistic models in many areas of science, several quantum (i.e. non-commutative) generalizations of classical probability have been attempted by a number of mathematicians. The pioneering works of K.R. Parthasarathy, L. Accardi, R.L. Hudson, P.A. Meyer and others led to the development of one such non-commutative model called ‘quantum probability’ which has a very rich theory of quantum stochastic calculus a la Hudson and Parthasarathy. Within the framework of quantum stochastic calculus, the ‘grand design’ that engages us is the canonical construction and study of ∗-homomorphic flows (jt)t≥0 on a given C ∗ or …
Study On Algebras With Retractions And Planes Over A Dvr., Prosenjit Das Dr.
Study On Algebras With Retractions And Planes Over A Dvr., Prosenjit Das Dr.
Doctoral Theses
Aim:The main aim of this thesis is to study the following problems:1. For a Noetherian ring R, to find a set of minimal sufficient fibre conditions for an R-algebra with a retraction to R to be an A1-fibration over R.2. To investigate sufficient conditions for a factorial A1-form, with a retraction to the base ring, to be A1.3. To investigate whether planes of the form b(X, Y)Zn – a(X, Y) are co- ordinate planes in the polynomial ring in three variables X, Y and Z over a discrete valuation ring.The 1st problem will be discussed in Chapter 3 entitled Codimension- …
Estimation Of Quality Adjusted Lifetime (Qal) Distribution., Biswabrata Pradhan Dr.
Estimation Of Quality Adjusted Lifetime (Qal) Distribution., Biswabrata Pradhan Dr.
Doctoral Theses
Quality Adjusted Lifetime (QAL)Normally, overall survival time is considered as the end point for many clinical trials to study the effectiveness of different treatments. If the survival time passes through different health states, which differ in their quality of life, then other endpoints are also considered for treatment comparison, which incorporates both quality and duration of life. It is, therefore, necessary to provide a composite measure for comparison of different treatment choices, specially in the context of clinical trials, after taking into account both quality and duration of life. This issue has been first addressed by Gelber and coauthors in …
Single And Multiobjective Approaches To Clustering With Point Symmetry., Sriparna Saha Dr.
Single And Multiobjective Approaches To Clustering With Point Symmetry., Sriparna Saha Dr.
Doctoral Theses
In our every day life, we make decisions consciously or unconsciously. This decision can be very simple such as selecting the color of dress or deciding the menu for lunch, or may be as difficult as those involved in designing a missile or in selecting a career. The former decision is easy to take, while the latter one might take several years due to the level of complexity involved in it. The main goal of most kinds of decision-making is to optimize one or more criteria in order to achieve the desired result. In other words, problems related to optimization …
Cannon-Thurston Maps And Relative Hyperbolicity., Abhijit Pal Dr.
Cannon-Thurston Maps And Relative Hyperbolicity., Abhijit Pal Dr.
Doctoral Theses
Let P : Y → T be a tree of strongly relatively hyperbolic spaces such that Y is also a strongly relatively hyperbolic space. Let X be a vertex space and i : X ֒→ Y denote the inclusion. The main aim of this thesis is to extend i to a continuous map i : X → Y , where X and Y are the Gromov compactifications of X and Y respectively. Such continuous extensions are called Cannon-Thurston maps. This is a generalization of [Mit98b] which proves the existence of Cannon-Thurston maps for X and Y hyperbolic. By generalizing a …
Gender Bias In Education In West Bengal., Chayanika Mitra Dr.
Gender Bias In Education In West Bengal., Chayanika Mitra Dr.
Doctoral Theses
There exists a vast literature with evidences of gender discrimination against females in allocation of goods and services at regional/national level in India. Evidence of gender bias on Indian data include, among many others, studies by Subramanian and Deaton (1991), Azam and Kingdon (2013), Kingdon (2005), Drèze and Kingdon (2001), Zimmerman (2012) and Lancaster, Maitra, and Ray (2008). India has a history of preference for sons over daughters for cultural and economic reasons. This is manifested through high birth sex ratios, which is possibly a result of female foeticide. The child sex ratio is within the normal natural range in …
Fast Placement And Floorplanning Methods In Modern Reconfigurable Fpgas., Pritha Baneerjee Dr.
Fast Placement And Floorplanning Methods In Modern Reconfigurable Fpgas., Pritha Baneerjee Dr.
Doctoral Theses
FPGA Field-programmable gate-arrays (FPGA) are programmable hardware platforms with pre-fabricated logic and interconnects, which are electrically programmed by the user to realize a variety of circuits frequently required in a wide range of applications. Unlike application-specific integrated-circuits (ASICs), where realization of a circuit design takes several man-hours and enormous effort, the pre-fabricated logic and interconnects can be quickly programmed according to the design specification and made functional. Thus, in contrast to the ASICs, FPGAs can be customized and reconfigured depending on the need of the user. A basic FPGA chip consists of a set of configurable logic blocks (CLB) and …
Sequences Of Positive Integers Containing No K-Term Arithmetic Progressions And Smooth Numbers In Short Intervals., Goutam Pal Dr.
Sequences Of Positive Integers Containing No K-Term Arithmetic Progressions And Smooth Numbers In Short Intervals., Goutam Pal Dr.
Doctoral Theses
In my thesis I have worked on two problems:1. On sequences of positive integers containing no k terms in arithmetic progressions.2. On smooth numbers in short intervals.The first two chapters of my thesis deal with the first problem and in the rest of the thesis I have focused on the 2nd problem.In the first chapter of my thesis I have considered the function rk(N) for a fixed k ≥ 3, where, by definition, rk(N) is the cardinality of a maximal subset of N consecutive natural numbers with the property that nork terms of it are in an Arithmetic Progression (A. …
Application Of Combinatorial Structures To Key Predistribution In Sensor Networks And Traitor Tracing., Sushmita Ruj Dr.
Application Of Combinatorial Structures To Key Predistribution In Sensor Networks And Traitor Tracing., Sushmita Ruj Dr.
Doctoral Theses
From time immemorial people have used cryptography for secure communication. Cryptography has decided the fate of many kings and queens as well as the outcome of various wars. It has become all the more important nowadays, with the growing need of electronic communication. We now live in a society where electronic networks pervade all aspects of our professional and private lives. We all use cryptography when we do bank transfers by ATM, or SWIFT, while using the mobile phones and i-phones, SSL protocols or using password protected machines. Though electronic communication is fast and easy, it is vulnerable to security …
Empirical Determination And Forecastability Of Foreign Exchange Rate Of India., Rituparna Kar Dr.
Empirical Determination And Forecastability Of Foreign Exchange Rate Of India., Rituparna Kar Dr.
Doctoral Theses
The first chapter of this thesis begins with a brief review of the existing literature on foreign exchange rate models and their forecasting performance. Thereafter it presents the motivation as well as the main aspects of this study. The format of this chapter is as follows. A brief review of the relevant literature is presented in the first section. This review includes the important theoretical / structural as well as time series models of exchange rate. The motivation of the thesis is discussed in Section 1.2. Section 1.3 presents a brief account of the Indian economic reforms since 1993 with …
Intersection Numbers, Embedded Spheres And Geosphere Laminations For Free Groups., Suhas Pandit Dr.
Intersection Numbers, Embedded Spheres And Geosphere Laminations For Free Groups., Suhas Pandit Dr.
Doctoral Theses
Topological and geometric methods have played a major role in the study of infinite groups since the time of Poincar´e and Klein, with the work of Nielsen, Dehn, Stallings and Gromov showing particularly deep connections with the topology of surfaces and three-manifolds. This is in part because a surface or a 3-manifold is essentially determined by its fundamental group, and has a geometric structure due to the Poincar´e-K¨obe-Klein uniformisation theorem for surfaces and Thurston’s geometrisation conjecture, which is now a theorem of Perelman, for 3-manifolds.A particularly fruitful instance of such an interplay is the relation between intersection numbers of simple …
Geometric Characterization Of Digital Objects: Algorithms And Applications To Image Analysis., Arindam Biswas Dr.
Geometric Characterization Of Digital Objects: Algorithms And Applications To Image Analysis., Arindam Biswas Dr.
Doctoral Theses
Several problems of characterizing a digital object, and particularly, those related to boundary description, have been studied in this thesis. New algorithms and their applications to various aspects of image analysis and retrieval have been reported. A combinatorial technique for constructing the outer and inner isothetic covers of a digital object has been developed. The resolution of the background 2D grid can be changed by varying the grid spacing, and this procedure can be used to extract shape and topological information about the object. Next, an algorithm has been designed for constructing the orthogonal (convex) hull of a digital object …