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For a weighted arrangement of affine hyperplanes, we will construct (under certain assumptions) a quantum integrable model, that is, a vector space W with a symmetric bilinear form
We study polynomial generalizations of the r -Fibonacci and r -Lucas sequences which arise in connection with a certain statistic on linear and circular r -mino ar-
Now return to the probability in the integrand in the last line in (11) and recall the well-known property of Brownian bridges that conditioning a Brownian motion on its arrival at
Metric entropy of the class of probability distribution functions on [0, 1] with a k-monotone density is studied through its connection with the small ball probability of
The infinite divisibility of probability distributions on the space P ( R ) of probability distri- butions on R is defined and related fundamental results such as the
When the migration is Brownian motion and the initial state of the model consists of the same mixture of different types of individuals over each site, the evolution of the clusters
Let us also note that, although we shall only study the particular branching process associated with the cookie random walk, the method presented here could be used to deal with a
Now, in view of the above, in order to solve the problem of orthogonal separability of the cor- responding Hamilton–Jacobi equation and thus find exact solutions to the
