Pyramidal cells in the rodent hippocampus often exhibit clear spatial tuning in navigation. Although it has been long suggested that pyramidal cell activity may underlie a topological code rather than a topographic code, it remains unclear whether an abstract spatial topology can be encoded in the ensemble spiking activity of hippocampal place cells. Using a statistical approach developed previ...

Normal-form fixed-point state-space realizations of IIR filters are known to be free from both overflow oscillations and roundoff limit cycles, provided magnitude truncation type of arithmetic is used together with two’s complement overflow features. The eigenvalues of the state transition matrix have low sensitivity. In this paper two new normal-form realizations are presented which utilize ci...

Although histogram methods have been extremely effective for analyzing data from Monte Carlo simulations, they do have certain limitations, including the range over which they are valid and the difficulties of combining data from independent simulations. In this paper, we describe an complementary approach to extracting information from Monte Carlo simulations that uses the matrix of transition...

A graph transformation procedure is described that enables waiting times, rate constants, and committor probabilities to be calculated within a single scheme for finite-state discrete-time Markov processes. The scheme is applicable to any transition network where the states, equilibrium occupation probabilities, and transition probabilities are specified. For networks involving many states or s...

Line strengths have been calculated in the form of Einstein A coefficients and f-values for a large number of bands of the A2Π–X2Σ+ and B2Σ+–X2Σ+ systems and rovibrational transitions within the X2Σ+ state of CN using Western’s pgopher program. The J dependence of the transition dipole moment matrix elements (the Herman–Wallis effect) has been taken into account. Rydberg–Klein–Rees potential en...

There are two examples given in section 3.3 of the paper (pages 349– 352). The first of the two examples is a three matrix product cycle in four states. Here one may label this three matrix product cycle by assigning letters to each matrix. Let the cycle be . . .ABC . . . . A stationary cycle of state probability distributions and two state paths are given that do correspond to the product cycl...

Excitation energies for 2l23l8 hole-particle states of Ne-like ions are determined to second order in relativistic many-body perturbation theory ~MBPT!. Reduced matrix elements, line strengths, and transition rates are calculated for electric-dipole (E1), magnetic-quadrupole (E2), magnetic-dipole (M1), and magneticquadrupole (M2) transitions in Ne-like ions with nuclear charges ranging from Z51...

The coarse graining method to be advocated in this paper consists of two main steps. First, the propagation of an ensemble of molecular states is described as a Markov chain by a transition probability matrix in a finite state space. Second, we obtain metastable conformations by an aggregation of variables via Robust Perron Cluster Analysis (PCCA+). Up to now, it has been an open question as to...