For a given pair of maps f, g : X → M from an arbitrary topological space to an n-manifold, the Lefschetz homomorphism is a certain graded homomorphism Λfg : H(X) → H(M) of degree (−n). We prove a Lefschetztype coincidence theorem: if the Lefschetz homomorphism is nontrivial then there is an x ∈ X such that f(x) = g(x).

Let (X, d) be a complete partially ordered cone metric space, g : X → X and F : X × X × X → X be two mappings. In this paper, a new concept of F having the mixed comparable property with respect to g is introduced and some tripled coincidence point results of F and g are obtained if F has the mixed comparable property with respect to g and some other natural conditions are satisfied. Moreover, ...

Nonverbal synchrony in face-to-face interaction has been studied in numerous empirical investigations focusing on various communication channels. Furthermore, the pervasiveness of synchrony in physics, chemistry and biology adds to its face-validity. This paper is focused on establishing criteria for a statistical evaluation of synchrony in human interaction. When assessing synchrony in any com...

The main technique that has been used to estimate the rate of gravitational wave (gw) bursts is to search for coincidence among times of arrival of candidate events in different detectors. Coincidences are modelled as a (possibly non-stationary) random time series background with gw events embedded in it, at random times but constant average rate. It is critical to test whether the statistics o...

A block cipher or message authentication code (MAC) should behave as a random mapping. The mapping’s randomness can be evaluated with statistical tests. Statistical test suites typically used for this purpose, such as the NIST test suite, are not well-suited for block ciphers and MACs; also, these test suites employ a frequentist approach, making it difficult to obtain an overall evaluation of ...

In molecular photofragmentation processes by soft X-rays, a number of ionic fragments can be produced, each having a different abundance and correlation with the emitted electron kinetic energy. For investigating these fragmentation processes, electron-ion and electron-ion-ion coincidence experiments, in which the kinetic energy of electrons are analyzed using an electrostatic analyzer while th...

Coherent oscillatory activity of a population of neurons is thought to be a vital feature of temporal coding in the brain. We focus on the question of whether a single neuron can transform a spike code into a rate code. More precisely, how does a neuron vary its mean output firing rate, if its input changes from random to coherent? We investigate the coincidence detection properties of an integ...

Neutron counters have been used by safeguard inspectors worldwide for over 20 years to accurately perform Non-Destructive Assays of pure samples of plutonium and uranium. These systems rely on the neutron coincidence counting technique to separate time-correlated fission neutrons from random, uncorrelated neutrons to determine the fissile mass. Impure samples such as mixed-oxide (MOX) scrap mat...