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Articles 241 - 270 of 541
Full-Text Articles in Mathematics
The Large Scale Behavior Of Super-Brownian Motion In Three Dimensions With A Single Point Source, Klaus Fleischmann, Carl Mueller, Pascal Vogt
The Large Scale Behavior Of Super-Brownian Motion In Three Dimensions With A Single Point Source, Klaus Fleischmann, Carl Mueller, Pascal Vogt
Communications on Stochastic Analysis
No abstract provided.
The Representation Of Conditional Expectations For Non-Gaussian Noise, Tobias Kuna, Ludwig Streit
The Representation Of Conditional Expectations For Non-Gaussian Noise, Tobias Kuna, Ludwig Streit
Communications on Stochastic Analysis
No abstract provided.
Schrödinger Operators On The Wiener Space, Ichiro Shigekawa
Schrödinger Operators On The Wiener Space, Ichiro Shigekawa
Communications on Stochastic Analysis
No abstract provided.
Dilation Of A Class Of Quantum Dynamical Semigroups, Debashish Goswami, Kalyan B Sinha
Dilation Of A Class Of Quantum Dynamical Semigroups, Debashish Goswami, Kalyan B Sinha
Communications on Stochastic Analysis
No abstract provided.
Application Of White Noise Calculus In Evaluating The Path Integral In Relativistic Quantum Mechanics, C C Bernido, J B Bornales, M V Carpio-Bernido
Application Of White Noise Calculus In Evaluating The Path Integral In Relativistic Quantum Mechanics, C C Bernido, J B Bornales, M V Carpio-Bernido
Communications on Stochastic Analysis
No abstract provided.
Lie Algebras Associated With The Renormalized Higher Powers Of White Noise, Luigi Accardi, Andreas Boukas
Lie Algebras Associated With The Renormalized Higher Powers Of White Noise, Luigi Accardi, Andreas Boukas
Communications on Stochastic Analysis
No abstract provided.
Stochastic 2-D Navier-Stokes Equation With Artificial Compressibility, Utpal Manna, J L Menaldi, S S Sritharan
Stochastic 2-D Navier-Stokes Equation With Artificial Compressibility, Utpal Manna, J L Menaldi, S S Sritharan
Communications on Stochastic Analysis
No abstract provided.
Percolation In A Hierarchical Random Graph, D A Dawson, L G Gorostiza
Percolation In A Hierarchical Random Graph, D A Dawson, L G Gorostiza
Communications on Stochastic Analysis
No abstract provided.
Infinite Dimensional Laplacians On A Lévy-Gelfand Triple, Abdessatar Barhoumi, Hui-Hsiung Kuo, Habib Ouerdiane
Infinite Dimensional Laplacians On A Lévy-Gelfand Triple, Abdessatar Barhoumi, Hui-Hsiung Kuo, Habib Ouerdiane
Communications on Stochastic Analysis
No abstract provided.
A Spectral Order For Infinite Dimensional Quantum Spaces: A Preliminary Report, Joe Mashburn
A Spectral Order For Infinite Dimensional Quantum Spaces: A Preliminary Report, Joe Mashburn
Mathematics Faculty Publications
In 2002 Coecke and Martin created a Bayesian order for the finite dimensional spaces of classical states in physics and used this to define a similar order, the spectral order on the finite dimensional quantum states. These orders gave the spaces a structure similar to that of a domain. This allows for measuring information content of states and for determining which partial states are approximations of which pure states. In a previous paper the author extended the Bayesian order to infinite dimensional spaces of classical states. The order on infinite dimensional spaces retains many of the characteristics important to physics, …
Infinite-Dimensional Parabolic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow
Infinite-Dimensional Parabolic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow
Communications on Stochastic Analysis
No abstract provided.
A Central Limit Type Theorem For A Class Of Particle Filters, Dan Crisan, Jie Xiong
A Central Limit Type Theorem For A Class Of Particle Filters, Dan Crisan, Jie Xiong
Communications on Stochastic Analysis
No abstract provided.
Brownian Super-Exponents, Victor Goodman
Brownian Super-Exponents, Victor Goodman
Communications on Stochastic Analysis
No abstract provided.
The Computation Of Exact Green's Functions In Acoustic Analogy By A Spectral Collocation Boundary Element Method, Andrea D. Jones
The Computation Of Exact Green's Functions In Acoustic Analogy By A Spectral Collocation Boundary Element Method, Andrea D. Jones
Mathematics & Statistics Theses & Dissertations
Aircraft airframe noise pollution resulting from the take-off and landing of airplanes is a growing concern. Because of advances in numerical analysis and computer technology, most of the current noise prediction methods are computationally efficient. However, the ability to effectively apply an approach to complex airframe geometries continues to challenge researchers. The objective of this research is to develop and analyze a robust noise prediction method for dealing with geometrical modifications. This new approach for determining sound pressure involves computing exact, or tailored, Green's functions for use in acoustic analogy. The effects of sound propagation and scattering by solid surfaces …
A Technique For Solving The Singular Integral Equations Of Potential Theory, Brian George Burns
A Technique For Solving The Singular Integral Equations Of Potential Theory, Brian George Burns
Mathematics & Statistics Theses & Dissertations
The singular integral equations of Potential Theory are investigated using ideas from both classical and contemporary mathematics. The goal of this semi-analytic approach is to produce numerical schemes that are both general and computationally simple. Previous works based on classical methods have yielded solutions only for very special cases while contemporary methods such as finite differences, finite elements and boundary element techniques are computationally extensive. Since the two-dimensional integral equations of interest exhibit structural invariance under a wide class of conformal mappings initial emphasis is placed on circular domains. By Fourier expansion with respect to the angular variable, such two-dimensional …
Population Models In Almost Periodic Environments, Toka Diagana, Saber Elaydi, Abdul-Aziz Yakubu
Population Models In Almost Periodic Environments, Toka Diagana, Saber Elaydi, Abdul-Aziz Yakubu
Mathematics Faculty Research
We establish the basic theory of almost periodic sequences on Ζ+. Dichotomy techniques are then utilized to find sufficient conditions for the existence of a globally attracting almost periodic solution of a semilinear system of difference equations. These existence results are, subsequently, applied to discretely reproducing populations with and without overlapping generations. Furthermore, we access evidence for attenuance and resonance in almost periodically forced population models.
Crossover Property Of The Nonperiodic Autocorrelation Of Quaternary Sequences, Michael Pohl
Crossover Property Of The Nonperiodic Autocorrelation Of Quaternary Sequences, Michael Pohl
Honors Theses
Sequences with identical nonperiodic autocorrelation functions have recently been used to construct Golay sequences different than the Davis-Jedwab construction. In this thesis, we construct infinite families of quaternary sequences with identical non periodic autocorrelation functions. These results demonstrate that current con structions for quaternary families are not all encompassing and need further study.
A Study On Time/Memory Trade-Off Cryptanalysis., Sourav Mukhopadhyay Dr.
A Study On Time/Memory Trade-Off Cryptanalysis., Sourav Mukhopadhyay Dr.
Doctoral Theses
At the beginning of 2003, I was searching for a suitable area to do my PhD. My respected guide Prof. Palash Sarkar assigned me to do a survey work on block cipher cryptanalysis. I found myself very interested in this area. I am very lucky that I joined into a golden group – Cryptology Research Group of India formed by our beloved teacher Prof. Bimal Roy and had the opportunity to work with Prof. Palash Sarkar, Dr. Subhomoy Maitra, Prof. Rana Barua and many others. I have been inspired by many persons during my PhD work.I would like to begin …
The Evaluation Subgroup Of A Fibre Inclusion, Gregory Lupton, Samuel Bruce Smith
The Evaluation Subgroup Of A Fibre Inclusion, Gregory Lupton, Samuel Bruce Smith
Mathematics and Statistics Faculty Publications
Let ξ: X j−→Ep−→B be a fibration of simply connected CW complexes of finite type with classifying map h: B→Baut1(X).We study the evaluation subgroup G n (E, X; j)of the fibre inclusion as an invariant of the fibre- homotopy type of ξ. For spherical fibrations, we show the evaluation subgroup may be expressed as an extension of the Gottlieb group of the fibre sphere provided the classifying map h induces the trivial map on homotopy groups. We extend this result after rationalization: We show that the decomposition G∗(E, X ; j)⊗Q=(G∗(X)⊗Q)⊕(π∗(B)⊗Q)is equivalent to the condition(h)Q=0.
Does Spelling Count? Reflections On Writing In The Mathematics Classroom, Christopher D. Goff
Does Spelling Count? Reflections On Writing In The Mathematics Classroom, Christopher D. Goff
College of the Pacific Faculty Presentations
The written word is scarce in the stereotypical mathematics course, which instead emphasizes the routine solving of problems. But having students explain their solutions in writing can pave the way to more critical mathematical thinking. This talk will examine the use of writing as a tool to learn mathematics. We will reflect on: reasons to incorporate writing in a mathematics class; which courses lend themselves to writing assignments; what types of assignments to use; samples of student work; and whether using writing can actually improve student learning. Depending on the assignments, writing can also incorporate several “Basic Principles” of AMATYC’s …
Periodic Solutions Of Functional Dynamic Equations With Infinite Delay, Li Bi, Meng Fan, Martin Bohner
Periodic Solutions Of Functional Dynamic Equations With Infinite Delay, Li Bi, Meng Fan, Martin Bohner
Mathematics and Statistics Faculty Research & Creative Works
In this paper, sufficient criteria are established for the existence of periodic solutions of some functional dynamic equations with infinite delays on time scales, which generalize and incorporate as special cases many known results for differential equations and for difference equations when the time scale is the set of the real numbers or the integers, respectively. The approach is mainly based on the Krasnosel'skilatin small letter i with breve fixed point theorem, which has been extensively applied in studying existence problems in differential equations and difference equations but rarely applied in studying dynamic equations on time scales. This study shows …
Variational Analysis In Bilevel Programming, S Dempe, J Dutta, Boris S. Mordukhovich
Variational Analysis In Bilevel Programming, S Dempe, J Dutta, Boris S. Mordukhovich
Mathematics Research Reports
The paper is devoted to applications of advanced tools of modern variational analysis and generalized differentiation to problems of optimistic bilevel programming. In this way, new necessary optimality conditions are derived for two major classes of bilevel programs: those with partially convex and with fully convex lower-level problems. We provide detailed discussions of the results obtained and their relationships with known results in this area.
Dynamics Of Asynchronous Random Boolean Networks With Asynchrony Generated By Stochastic Processes, Xutao Deng, Huimin Geng, Mihaela Teodora Matache
Dynamics Of Asynchronous Random Boolean Networks With Asynchrony Generated By Stochastic Processes, Xutao Deng, Huimin Geng, Mihaela Teodora Matache
Mathematics Faculty Publications
An asynchronous Boolean network with N nodes whose states at each time point are determined by certain parent nodes is considered. We make use of the models developed by Matache and Heidel [Matache, M.T., Heidel, J., 2005. Asynchronous random Boolean network model based on elementary cellular automata rule 126. Phys. Rev. E 71, 026232] for a constant number of parents, and Matache [Matache, M.T., 2006. Asynchronous random Boolean network model with variable number of parents based on elementary cellular automata rule 126. IJMPB 20 (8), 897–923] for a varying number of parents. In both these papers the authors consider an …
Winning Paths In N-By-Infinity Hex, Walter Stromquist
Winning Paths In N-By-Infinity Hex, Walter Stromquist
Mathematics & Statistics Faculty Works
In n x ∞ Hex the player whose task is to complete a finite path can win, but the other player can ensure that any winning path contains at least n + [n−2/4] cells.
The Time Invariance Principle, Ecological (Non)Chaos, And A Fundamental Pitfall Of Discrete Modeling, Bo Deng
The Time Invariance Principle, Ecological (Non)Chaos, And A Fundamental Pitfall Of Discrete Modeling, Bo Deng
Department of Mathematics: Faculty Publications
This paper is to show that most discrete models used for population dynamics in ecology are inherently pathological that their predications cannot be independently verified by experiments because they violate a fundamental principle of physics. The result is used to tackle an on-going controversy regarding ecological chaos. Another implication of the result is that all continuous dynamical systems must be modeled by differential equations. As a result it suggests that researches based on discrete modeling must be closely scrutinized and the teaching of calculus and differential equations must be emphasized for students of biology.
On Edge Detection And Object Recognition In Color Images., Sarif Kumar Naik Dr.
On Edge Detection And Object Recognition In Color Images., Sarif Kumar Naik Dr.
Doctoral Theses
No abstract provided.
Concatenative Text-To-Speech Synthesis: A Study On Standard Colloquial Bengali., Soumen Chowdhury Dr.
Concatenative Text-To-Speech Synthesis: A Study On Standard Colloquial Bengali., Soumen Chowdhury Dr.
Doctoral Theses
The primary communication process between human beings is Speech. Speech synthesis is the automatic and artificial generation of the speech signal by a machine. A TTS (Text-To-Speech) synthesis system is one which can generate speech signal from a string of text in a given language. The development in the speech synthesis systems in various languages has been going on for several decades. With the unprecedented expansion of IT (Information Technology) invading the life of the common man it is highly desirable that at least the information dissemination be made via the speech mode which is the most natural mode of …
Quickest Flows Over Time, Lisa Fleischer, Martin Skutella
Quickest Flows Over Time, Lisa Fleischer, Martin Skutella
Dartmouth Scholarship
Flows over time (also called dynamic flows) generalize standard network flows by introducing an element of time. They naturally model problems where travel and transmission are not instantaneous. Traditionally, flows over time are solved in time‐expanded networks that contain one copy of the original network for each discrete time step. While this method makes available the whole algorithmic toolbox developed for static flows, its main and often fatal drawback is the enormous size of the time‐expanded network. We present several approaches for coping with this difficulty. First, inspired by the work of Ford and Fulkerson on maximal s‐t …
On The Elimination Of The Sweeping Interactions From Theories Of Hydrodynamic Turbulence, Eleftherios Gkioulekas
On The Elimination Of The Sweeping Interactions From Theories Of Hydrodynamic Turbulence, Eleftherios Gkioulekas
School of Mathematical & Statistical Sciences Faculty Publications
In this paper, we revisit the claim that the Eulerian and quasi-Lagrangian same time correlation tensors are equal. This statement allows us to transform the results of an MSR quasi-Lagrangian statistical theory of hydrodynamic turbulence back to the Eulerian representation. We define a hierarchy of homogeneity symmetries between incremental homogeneity and global homogeneity. It is shown that both the elimination of the sweeping interactions and the derivation of the 4/5-law require a homogeneity assumption stronger than incremental homogeneity but weaker than global homogeneity. The quasi-Lagrangian transformation, on the other hand, requires an even stronger homogeneity assumption which is many-time rather …
The Relationship Between Discrete Vector Quantization And The P-Median Problem, Allen G. Holder, G Lim, J Reese
The Relationship Between Discrete Vector Quantization And The P-Median Problem, Allen G. Holder, G Lim, J Reese
Mathematics Faculty Research
We show that a well studied problem in the engineering community is the same as a problem studied by mathematical combinatorialists. Specifically, we show that the question of optimally designing a vector quantizer, which is an important problem in coding theory, is the same as the p-median problem, which is a classic graph theory problem with important applications in operations research. The importance of the relationship lies in the fact that both communities have spent years developing solution methodologies, and this connection permits each community to glean new ideas from the other. We show that two of the most popular …