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