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Articles 1 - 21 of 21
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On A Stationary Random Knot, Andrey A. Dorogovtsev
On A Stationary Random Knot, Andrey A. Dorogovtsev
Journal of Stochastic Analysis
No abstract provided.
Backward Stochastic Differential Equations In A Semi-Markov Chain Model, Robert J. Elliott, Zhe Yang
Backward Stochastic Differential Equations In A Semi-Markov Chain Model, Robert J. Elliott, Zhe Yang
Journal of Stochastic Analysis
No abstract provided.
Double Barrier Backward Doubly Stochastic Differential Equations, Tadashi Hayashi
Double Barrier Backward Doubly Stochastic Differential Equations, Tadashi Hayashi
Journal of Stochastic Analysis
No abstract provided.
Symmetric Functions Algebras (Sfa) Iii: Stochastic And Constant Row Sum Matrices, Philip Feinsilver
Symmetric Functions Algebras (Sfa) Iii: Stochastic And Constant Row Sum Matrices, Philip Feinsilver
Journal of Stochastic Analysis
No abstract provided.
Some New Techniques And Their Applications In The Theory Of Distributions, Kevin Kellinsky-Gonzalez
Some New Techniques And Their Applications In The Theory Of Distributions, Kevin Kellinsky-Gonzalez
LSU Doctoral Dissertations
This dissertation is a compilation of three articles in the theory of distributions. Each essay focuses on a different technique or concept related to distributions.
The focus of the first essay is the concept of distributional point values. Distribu- tions are sometimes called generalized functions, as they share many similarities with ordi- nary functions, with some key differences. Distributional point values, among other things, demonstrate that distributions are even more akin to ordinary functions than one might think.
The second essay concentrates on two major topics in analysis, namely asymptotic expansions and the concept of moments. There are many variations …
Multiplication Operators By White Noise Delta Functions And Associated Differential Equations, Luigi Accardi, Un Cig Ji, Kimiaki Saitô
Multiplication Operators By White Noise Delta Functions And Associated Differential Equations, Luigi Accardi, Un Cig Ji, Kimiaki Saitô
Journal of Stochastic Analysis
No abstract provided.
Random Variables With Overlapping Number And Weyl Algebras Ii, Ruma Dutta, Gabriela Popa, Aurel Stan
Random Variables With Overlapping Number And Weyl Algebras Ii, Ruma Dutta, Gabriela Popa, Aurel Stan
Journal of Stochastic Analysis
No abstract provided.
Modelling Illiquid Stocks Using Quantum Stochastic Calculus: Asymptotic Methods, Will Hicks
Modelling Illiquid Stocks Using Quantum Stochastic Calculus: Asymptotic Methods, Will Hicks
Journal of Stochastic Analysis
No abstract provided.
Errata: Continuous Lattices And Domains, Jimmie D. Lawson
Errata: Continuous Lattices And Domains, Jimmie D. Lawson
Seminar on Continuity in Semilattices
No abstract provided.
Symmetric Functions Algebras (Sfa) Ii: Induced Matrices, Philip Feinsilver
Symmetric Functions Algebras (Sfa) Ii: Induced Matrices, Philip Feinsilver
Journal of Stochastic Analysis
No abstract provided.
Optimal Control Problems For Stochastic Processes With Absorbing Regime, Yaacov Kopeliovich
Optimal Control Problems For Stochastic Processes With Absorbing Regime, Yaacov Kopeliovich
Journal of Stochastic Analysis
No abstract provided.
Matroid Generalizations Of Some Graph Results, Cameron Crenshaw
Matroid Generalizations Of Some Graph Results, Cameron Crenshaw
LSU Doctoral Dissertations
The edges of a graph have natural cyclic orderings. We investigate the matroids for which a similar cyclic ordering of the circuits is possible. A full characterization of the non-binary matroids with this property is given. Evidence of the difficulty of this problem for binary matroids is presented, along with a partial result for binary orderable matroids.
For a graph G, the ratio of |E(G)| to the minimum degree of G has a natural lower bound. For a matroid M that is representable over a finite field, we generalize this to a lower bound on …
Sl(2,Z) Representations And 2-Semiregular Modular Categories, Samuel Nathan Wilson
Sl(2,Z) Representations And 2-Semiregular Modular Categories, Samuel Nathan Wilson
LSU Doctoral Dissertations
We address the open question of which representations of the modular group SL(2,Z) can be realized by a modular category. In order to investigate this problem, we introduce the concept of a symmetrizable representation of SL(2,Z) and show that this property is necessary for the representation to be realized. We then prove that all congruence representations of SL(2,Z) are symmetrizable. The proof involves constructing a symmetric basis, which greatly aids in further calculation. We apply this result to the reconstruction of modular category data from representations, as well as to the classification of semiregular categories, which are defined via an …
Analytic Continuation Of Toeplitz Operators And Commuting Families Of C*-Algebras, Khalid Bdarneh
Analytic Continuation Of Toeplitz Operators And Commuting Families Of C*-Algebras, Khalid Bdarneh
LSU Doctoral Dissertations
In this thesis we consider the Toeplitz operators on the weighted Bergman spaces and their analytic continuation. We proved the commutativity of the $C^*-$algebras generated by the analytic continuation of Toeplitz operators with special class of symbols that are invariant under suitable subgroups of $SU(n,1)$, and we showed that commutative $C^*-$algebras with symbols invariant under compact subgroups of $SU(n,1)$ are completely characterized in terms of restriction to multiplicity free representations. Moreover, we extended the restriction principal to the analytic continuation case for suitable maximal abelian subgroups of the universal covering group $\widetilde{SU(n,1)}$, and we obtained the generalized Segal-Bargmann transform, where …
Modelling Illiquid Stocks Using Quantum Stochastic Calculus, Will Hicks
Modelling Illiquid Stocks Using Quantum Stochastic Calculus, Will Hicks
Journal of Stochastic Analysis
No abstract provided.
Symmetric Functions Algebras I: Introduction And Basic Features, Philip Feinsilver
Symmetric Functions Algebras I: Introduction And Basic Features, Philip Feinsilver
Journal of Stochastic Analysis
No abstract provided.
Random Variables With Overlapping Number And Weyl Algebras I, Ruma Dutta, Gabriela Popa, Aurel Stan
Random Variables With Overlapping Number And Weyl Algebras I, Ruma Dutta, Gabriela Popa, Aurel Stan
Journal of Stochastic Analysis
No abstract provided.
Odds And Ends, Jimmie D. Lawson
Something, Gerhard Gierz
Pricing Multi-Asset Contingent Claims In A Multi-Dimensional Binomial Market, Jarek Kedra, Assaf Libman, Victoria Steblovskaya
Pricing Multi-Asset Contingent Claims In A Multi-Dimensional Binomial Market, Jarek Kedra, Assaf Libman, Victoria Steblovskaya
Journal of Stochastic Analysis
No abstract provided.
The Malliavin-Stein Method For Normal Random Walks With Dependent Increments, Ian Flint, Nicolas Privault, Giovanni Luca Torrisi
The Malliavin-Stein Method For Normal Random Walks With Dependent Increments, Ian Flint, Nicolas Privault, Giovanni Luca Torrisi
Journal of Stochastic Analysis
No abstract provided.