Zobrazeno 1 - 10
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pro vyhledávání: '"Sinclair, Christopher"'
Autor:
Sinclair, Christopher D.
We introduce a random probability measure on the profinite completion of the random tree of a branching process and introduce the canonical and grand canonical ensembles of random repelling particles on this random profinite completion at inverse tem
Externí odkaz:
http://arxiv.org/abs/2407.06433
Autor:
Sinclair, Christopher D.
We introduce ensembles of repelling charged particles restricted to a ball in a non-archimedean field (such as the $p$-adic numbers) with interaction energy between pairs of particles proportional to the logarithm of the ($p$-adic) distance between t
Externí odkaz:
http://arxiv.org/abs/2002.07121
Publikováno v:
Random Matrices Theory Appl., 8(4), 1950012, 38 pp, 2019
We consider the roots of uniformly chosen complex and real reciprocal polynomials of degree $N$ whose Mahler measure is bounded by a constant. After a change of variables this reduces to a generalization of Ginibre's complex and real ensembles of ran
Externí odkaz:
http://arxiv.org/abs/1806.02914
Autor:
Sinclair, Christopher John
Following the application of pesticides during normal agricultural practice these compounds can degrade to form transformation products. When assessing the risks posed by pesticides it is important to include any additional risks posed by these compo
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.564393
Thesis (Ph. D.)--University of Texas at Austin, 2005.
Supervisor: Jeffrey D. Vaaler. Vita. Includes bibliographical references.
Supervisor: Jeffrey D. Vaaler. Vita. Includes bibliographical references.
We introduce an ensemble consisting of logarithmically repelling charge one and charge two particles on the unit circle constrained so that the total charge of all particles equals $N$, but the proportion of each species of particle is allowed to var
Externí odkaz:
http://arxiv.org/abs/1404.5290
Upon quotienting by units, the elements of norm 1 in a number field $K$ form a countable subset of a torus of dimension $r_1 + r_2 - 1$ where $r_1$ and $r_2$ are the numbers of real and pairs of complex embeddings. When $K$ is Galois with cyclic Galo
Externí odkaz:
http://arxiv.org/abs/1404.4648
Autor:
Sinclair, Christopher D. J.
Publikováno v:
The Conradian, 2019 Oct 01. 44(2), 68-70.
Externí odkaz:
https://www.jstor.org/stable/48728062
