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Probability on Algebraic and Geometric Structures
 
Edited by: Gregory Budzban Southern Illinois University, Carbondale, IL
Harry Randolph Hughes Southern Illinois University, Carbondale, IL
Henri Schurz Southern Illinois University, Carbondale, IL
Probability on Algebraic and Geometric Structures
eBook ISBN:  978-1-4704-3473-1
Product Code:  CONM/668.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Probability on Algebraic and Geometric Structures
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Probability on Algebraic and Geometric Structures
Edited by: Gregory Budzban Southern Illinois University, Carbondale, IL
Harry Randolph Hughes Southern Illinois University, Carbondale, IL
Henri Schurz Southern Illinois University, Carbondale, IL
eBook ISBN:  978-1-4704-3473-1
Product Code:  CONM/668.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6682016; 221 pp
    MSC: Primary 05; 15; 49; 54; 60

    This volume contains the proceedings of the International Research Conference “Probability on Algebraic and Geometric Structures”, held from June 5–7, 2014, at Southern Illinois University, Carbondale, IL, celebrating the careers of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea.

    These proceedings include survey papers and new research on a variety of topics such as probability measures and the behavior of stochastic processes on groups, semigroups, and Clifford algebras; algebraic methods for analyzing Markov chains and products of random matrices; stochastic integrals and stochastic ordinary, partial, and functional differential equations.

    Readership

    Graduate students and research mathematicians interested in probability and stochastic processes.

  • Table of Contents
     
     
    • Articles
    • Andreas Anckar and Göran Högnäs — The fine structure of the stationary distribution for a simple Markov process
    • Denis Bell — Superdegenerate hypoelliptic differential operators
    • Gregory Budzban and Arunava Mukherjea — Some remarks on the convolution equation $\mu * \beta = \mu $ and product semigroups
    • Santanu Chakraborty — Limit distributions of products of I.I.D. random $2\times 2$ stochastic matrices: an open problem
    • Andrea Cosso, Cristina Di Girolami and Francesco Russo — Calculus via regularizations in Banach spaces and Kolmogorov-type path-dependent equations
    • Philip Feinsilver — Matrices with zero row sums, tree theorems and a Markov chain on trees
    • P. Graczyk and P. Sawyer — Convolution of orbital measures on symmetric spaces: A survey
    • Göran Högnäs and Brita Jung — Exit times for some autoregressive processes with non-Gaussian noise distributions
    • Isabelle Kemajou-Brown — Brief history of optimal control theory and some recent developments
    • Jerzy Kocik — Krawtchouk matrices, Feynman path integral and the split quaternions
    • Rémi Léandre — The Itô-Stratonovich formula for an operator of order four
    • C. R. E. Raja and R. Schott — Random walks on motion groups
    • Henri Schurz and Abdallah M. Talafha — Existence, uniqueness, and energy of modified stochastic sine-Gordon equation with multiplicative noise on one-dimensional domain
    • Lochana Siriwardena and Harry Randolph Hughes — Squared Bessel process with delay
    • G. Stacey Staples — Kravchuk matrices and induced operators on Clifford algebras
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 6682016; 221 pp
MSC: Primary 05; 15; 49; 54; 60

This volume contains the proceedings of the International Research Conference “Probability on Algebraic and Geometric Structures”, held from June 5–7, 2014, at Southern Illinois University, Carbondale, IL, celebrating the careers of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea.

These proceedings include survey papers and new research on a variety of topics such as probability measures and the behavior of stochastic processes on groups, semigroups, and Clifford algebras; algebraic methods for analyzing Markov chains and products of random matrices; stochastic integrals and stochastic ordinary, partial, and functional differential equations.

Readership

Graduate students and research mathematicians interested in probability and stochastic processes.

  • Articles
  • Andreas Anckar and Göran Högnäs — The fine structure of the stationary distribution for a simple Markov process
  • Denis Bell — Superdegenerate hypoelliptic differential operators
  • Gregory Budzban and Arunava Mukherjea — Some remarks on the convolution equation $\mu * \beta = \mu $ and product semigroups
  • Santanu Chakraborty — Limit distributions of products of I.I.D. random $2\times 2$ stochastic matrices: an open problem
  • Andrea Cosso, Cristina Di Girolami and Francesco Russo — Calculus via regularizations in Banach spaces and Kolmogorov-type path-dependent equations
  • Philip Feinsilver — Matrices with zero row sums, tree theorems and a Markov chain on trees
  • P. Graczyk and P. Sawyer — Convolution of orbital measures on symmetric spaces: A survey
  • Göran Högnäs and Brita Jung — Exit times for some autoregressive processes with non-Gaussian noise distributions
  • Isabelle Kemajou-Brown — Brief history of optimal control theory and some recent developments
  • Jerzy Kocik — Krawtchouk matrices, Feynman path integral and the split quaternions
  • Rémi Léandre — The Itô-Stratonovich formula for an operator of order four
  • C. R. E. Raja and R. Schott — Random walks on motion groups
  • Henri Schurz and Abdallah M. Talafha — Existence, uniqueness, and energy of modified stochastic sine-Gordon equation with multiplicative noise on one-dimensional domain
  • Lochana Siriwardena and Harry Randolph Hughes — Squared Bessel process with delay
  • G. Stacey Staples — Kravchuk matrices and induced operators on Clifford algebras
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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