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E-raamat: Probability on Algebraic and Geometric Structures

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  • Formaat: 221 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Jun-2016
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9781470434731
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  • Formaat: 221 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Jun-2016
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9781470434731
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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.
Preface ix
List of participants
xi
The fine structure of the stationary distribution for a simple Markov process
1(12)
Andreas Anckar
Goran Hognas
Superdegenerate hypoelliptic differential operators
13(8)
Denis Bell
Some remarks on the convolution equation μ * β = μ, and product semigroups
21(10)
Greg Budzban
Arunava Mukherjea
Limit distributions of products of I.I.D. random 2 × 2 stochastic matrices: an open problem
31(12)
Santanu Chakraborty
Calculus via regularizations in Banach spaces and Kolmogorov-type path-dependent equations
43(24)
Andrea Cosso
Cristina Di Girolami
Francesco Russo
Matrices with zero row sums, tree theorems and a Markov chain on trees
67(14)
Philip Feinsilver
Convolution of orbital measures on symmetric spaces: A survey
81(30)
P. Graczyk
P. Sawyer
Exit times for some autoregressive processes with non-Gaussian noise distributions
111(8)
Goran Hognas
Brita Jung
Brief history of optimal control theory and some recent developments
119(12)
Isabelle Kemajou-Brown
Krawtchouk matrices, Feynman path integral and the split quaternions
131(34)
Jerzy Kocik
The Ito-Stratonovich formula for an operator of order four
165(6)
Remi Leandre
Random walks on motion groups
171(8)
C. R. E. Raja
R. Schott
Existence, uniqueness, and energy of modified stochastic sine-Gordon equation with multiplicative noise on one-dimensional domain
179(20)
Henri Schurz
Abdallah M. Talafha
Squared Bessel process with delay
199(8)
Lochana Siriwardena
Harry Randolph Hughes
Kravchuk matrices and induced operators on Clifford algebras
207
G. Stacey Staples
Gregory Budzban, Southern Illinois University, Carbondale, IL, USA.

Harry Randolph Hughes, Southern Illinois University, Carbondale, IL, USA.

Henri Schurz, Southern Illinois University, Carbondale, IL, USA.