A coagulation model on a finite spatial grid is considered. Particles of discrete masses jump randomly between sites and, while located at the same site, stick together according to some coagulation kernel. The asymptotic behavior (for increasing particle numbers) of th...

We develop methods for studying transition operators on metric spaces that are invariant under a co-compact group which acts properly. A basic requirement is a decomposition of such operators with respect to the group orbits. We then introduce "reduced" transition opera...

We define Lie multiplication derivations of an arbitrary non-associative algebra A over any commutative ring and, following McCrimmon [15], describe them completely if A is alternative. Using this description, we propose a new definition of inner derivations for alterna...