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So, evaluating the distribution of passages of all photons through a certain barrier should provide according information.
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It is important to be able to predict both the minimum and maximum passage times of particles in the heating and holding sections of the system, and ideally the whole distribution of passage times (PTD) should be known.
In the critical regime R 0 = 1, the problem reduces to calculating the distribution of first passage times of a random walk with equal transition probabilities.
An approximate method for estimating the probability distribution of first-passage times and extreme values of stationary narrow-band random vibrations is presented.
The algorithms underpin the feasibility of the computations for large systems and enable the calculation of the full distribution of first passage time.
We found that the fluctuations of the kinetics through the distribution of first passage time show rather universal behavior, from high-temperature exponential Poissonian kinetics to the relatively low-temperature highly non-exponential kinetics.
In this Letter, the first two moments of the distribution of first passage times between two adjacent minima in a washboard potential are obtained numerically and the coherence of the noise-induced motion along the energy landscape is analyzed as a function of the noise intensity.
To estimate this delay, we model the distribution of first passage times (FPT) for infected persons to the United States.
The distribution of First Passage Times (FPT) to the United States and the numbers of infected persons in metropolitan areas worldwide are studied assuming various times and locations of the initial outbreak.
The probability density of pause durations, ψ(t), is equivalent to the distribution of first-passage times for a particle diffusing on a one-dimensional lattice to return to the origin (Depken et al., 2009), and is given by: (8) ψ (t ) = k f k b exp [ − (k f + k b ) t ] t I 1 (2 t k f k b ) where I1 is the modified Bessel function of the first kind.
The distribution of the first-passage time for normal stationary random processes provided by Vanmarcke has been extended to cases involving Gaussian non-stationary random processes.
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