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Full Description
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.
Contents
A. Anckar and G, Hognas, The fine structure of the stationary distribution for a simple Markov process
D. Bell, Superdegenerate hypoelliptic differential operators
G. Budzban and A. Mukherjea, Some remarks on the convolution equation $\mu*\beta=\mu$ and product semigroups
S. Chakraborty, Limit distributions of products of i.i.d. random $2x2$ stochastic matrices: An open problem
A. Cosso, C. Di Girolami, and F. Russo, Calculus via regularizations in Banach spaces and Kolmogorov-type path-dependent equations
P. Feinsilver, Matrices with zero row sums, tree theorems and Markov chain on trees
P. Graczyk and P. Sawyer, Convolution of orbital measures on symmetric spaces: A survey
G. Hognas and B. Jung, Exit times for some autoregressive processes with non-Gaussian noise distributions
I. Kemajou-Brown, Brief history of optimal control theory and some recent developments
J. Kocik, Krawtchouk matrices, Feynman path integral and the split quaternions
R. Leandre, The Ito-Stratonovich formula for an operator of order four
C. R. E. Raja and R. Schott, Random walks on motion groups
H. Schurz and A. Talafha, Existence, uniqueness, and energy of modified stochastic sine-Gordon equation with multiplicative noise on one-dimensional domain
L. Siriwardena and H. R. Hughes, Squared Bessel process with delay
G. S. Staples, Kravchuk matrices and induced operators on Clifford algebras.
