Zobrazeno 1 - 10
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pro vyhledávání: '"Feinsilver, Philip"'
Autor:
Feinsilver, Philip
For $V(z)$, analytic in a neighborhood of $0\in\mathbb{C}$, $V(0) = 0$, $V'(0)\ne0$, there is an associated sequence of polynomials, \textsl{canonical polynomials}, that is a generalized Appell sequence with lowering operator $V(d/dx)$. Corresponding
Externí odkaz:
http://arxiv.org/abs/2106.02132
Autor:
Boukas, Andreas, Feinsilver, Philip
Publikováno v:
Commun. Stoch. Anal. 13 (2019), no. 2, Article 3, 27 pp. MR4011326
Using the spectral theorem we compute the Quantum Fourier Transform (or Vacuum Characteristic Function) $\langle \Phi, e^{itH}\Phi\rangle$ of an observable $H$ defined as a self-adjoint sum of the generators of a finite-dimensional Lie algebra, where
Externí odkaz:
http://arxiv.org/abs/2007.01527
Autor:
Feinsilver, Philip
Publikováno v:
Proceedings of Quantum Probability Conference, QP32, Levico, Italy, May-June, 2011, World Scientific, 2012, pp. 98-136
Completely simple semigroups arise as the support of limiting measures of random walks on semigroups. Such a limiting measure is supported on the kernel of the semigroup. Forming tensor powers of the random walk leads to a hierarchy of the limiting k
Externí odkaz:
http://arxiv.org/abs/1711.10319
Autor:
Feinsilver, Philip, McSorley, John
Publikováno v:
International Journal of Combinatorics, (2011), v.2011, Article ID 539030, 29 pages
Starting with the zero-square "zeon algebra" the connection with permanents is shown. Permanents of sub-matrices of a linear combination of the identity matrix and all-ones matrix leads to moment polynomials with respect to the exponential distributi
Externí odkaz:
http://arxiv.org/abs/1710.00788
Autor:
Feinsilver, Philip
We call Krawtchouk-Griffiths systems, KG-systems, systems of multivariate polynomials orthogonal with respect to corresponding multinomial distributions. The original Krawtchouk polynomials are orthogonal with respect to a binomial distribution. Here
Externí odkaz:
http://arxiv.org/abs/1612.00588
Autor:
Feinsilver, Philip
We call Krawtchouk-Griffiths systems, or KG-systems, systems of multivariate polynomials orthogonal with respect to corresponding multinomial distributions. The original Krawtchouk polynomials are orthogonal with respect to a binomial distribution. O
Externí odkaz:
http://arxiv.org/abs/1611.06991
Autor:
Feinsilver, Philip
Writing the values of Krawtchouk polynomials as matrices, we consider weighted partial sums along columns. For the general case, we find an identity that, in the symmetric case yields a formula for such partial sums. Complete sums of squares along co
Externí odkaz:
http://arxiv.org/abs/1603.07023
Autor:
Feinsilver, Philip, Schott, René
We put together the ingredients for an efficient operator calculus based on Krawtchouk polynomials, including Krawtchouk transforms and corresponding convolution structure which provide an inherently discrete alternative to Fourier analysis. In this
Externí odkaz:
http://arxiv.org/abs/1409.4715
Autor:
Feinsilver, Philip, Schott, René
Publikováno v:
Intelligent Computer Mathematics, 10th International Conference, AISC 2010, Paris, France, July 5-10, 2010. Proceedings. Springer 2010, pp. 64-75
Krawtchouk polynomials appear in a variety of contexts, most notably as orthogonal polynomials and in coding theory via the Krawtchouk transform. We present an operator calculus formulation of the Krawtchouk transform that is suitable for computer im
Externí odkaz:
http://arxiv.org/abs/1107.1695
Autor:
Feinsilver, Philip
Publikováno v:
Infinite Dimensional Analysis, Quantum Probability and Related Topics,15(3):1250019, 44, 2012
Starting with the zero-square "zeon algebra", the regular representation gives rise to a Boolean lattice representation of sl(2). We detail the su(2) content of the Boolean lattice, providing the irreducible representations carried by the algebra gen
Externí odkaz:
http://arxiv.org/abs/1102.0368