in a finite stationary markov chain, transition probabilities may depend on some explanatoryvariables. a similar problem has been considered here. the corresponding posteriors are derived andinferences are done using these posteriors. finally, the procedure is illustrated with a real example.

Consider a finite irreducible Markov chain on state space S with transition matrix M and stationary distribution π. Let R be the diagonal matrix of return times, Rii = 1/πi. Given distributions σ, τ and k ∈ S, the exit frequency xk(σ, τ) denotes the expected number of times a random walk exits state k before an optimal stopping rule from σ to τ halts the walk. For a target distribution τ , we d...

A simple targeting algorithm for trans-Earth injection is developed. The techniques presented in this paper build on techniques developed for the Apollo program and other lunar and interplanetary missions. Presently, more sophisticated algorithms exist for solving this problem, but the simplicity of this particular algorithm makes it well-suited for on-board use during contingency and abort ope...

We propose a new approximate numerical algorithm for the steady–state solution of general structured ergodic Markov models. The approximation uses a state–space encoding based on multiway decision diagrams and a transition rate encoding based on a new class of edge–valued decision diagrams. The new method retains the favorable properties of a previously proposed Kronecker–based approximation, w...

qp_rules.m Calculates for a hydrogen atom, the transition rate and lifetime for a transition from an initial state (n1 l1 ml1) to the final state (n2 l2 ml2). The azimuthal wavefunction is given by an analytical expression, the angular wavefunction is found using the Matlab command legendre and the radial wavefunction is solved by the Matrix Method using the function qp_fh.m. Integrations use t...

We study the ground-state properties of weakly frustrated Heisenberg ferrimagnetic chains with nearest and next-nearest neighbor antiferromagnetic exchange interactions and two types of alternating sublattice spins S1 > S2, using 1/S spin-wave expansions, density-matrix renormalization group, and exact-diagonalization techniques. It is argued that the zero-point spin fluctuations completely des...

The incredible catalytic rate enhancements caused by enzymes led Linus Pauling (1) to suggest that enzymes bind tightly to substrates distorted toward the transition state, thereby concentrating them and enforcing catalysis. Wolfenden (2) explained that chemically stable analogues that resemble the transition state would be expected to bind more tightly than substrate by factors resembling the ...