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Plan Guanajuato (La Sandía), Mexico

Iturriaga R.,CIMAT | Maderna E.,University of the Republic of Uruguay
Celestial Mechanics and Dynamical Astronomy | Year: 2015

We prove that, for generic (open and dense) values of the masses, the Newtonian potential function of the collinear N-body problem has [InlineEquation not available: see fulltext.] critical values when restricted to a fixed inertia level. In particular, we prove that for generic values of the masses, there is only one global minimal Moulton configuration. © 2015, Springer Science+Business Media Dordrecht.

Arizmendi O.,CIMAT | Hasebe T.,Hokkaido University
Complex Analysis and Operator Theory | Year: 2016

We realize the Belinschi–Nica semigroup of homomorphisms as a free multiplicative subordination. This realization allows to define more general semigroups of homomorphisms with respect to free multiplicative convolution. For these semigroups we show that a differential equation holds, generalizing the complex Burgers equation. We give examples of free multiplicative subordination and find a relation to the Markov–Krein transform, Boolean stable laws and monotone stable laws. A similar idea works for additive subordination, and in particular we study the free additive subordination associated to the Cauchy distribution and show that it is a homomorphism with respect to monotone, Boolean and free additive convolutions. © 2015, Springer Basel.

Petean J.,CIMAT | Petean J.,University of Buenos Aires | Ruiz J.M.,IMPA
Differential Geometry and its Application | Year: 2013

We compare the isoperimetric profiles of S2×R3 and of S3×R2 with that of a round 5-sphere (of appropriate radius). Then we use this comparison to obtain lower bounds for the Yamabe constants of S2×R3 and S3×R2. Explicitly we show that Y(S3×R2,[g0 3+dx 2])>(3/4)Y(S5) and Y(S2×R3,[g0 2+dx 2])>0.63Y(S5). We also obtain explicit lower bounds in higher dimensions and for products of Euclidean space with a closed manifold of positive Ricci curvature. The techniques are a more general version of those used by the same authors in Petean and Ruiz (2011) [15] and the results are a complement to the work developed by B. Ammann, M. Dahl and E. Humbert to obtain explicit gap theorems for the Yamabe invariants in low dimensions. © 2013 Elsevier B.V.

Otoba N.,Keio University | Petean J.,CIMAT
Differential Geometry and its Application | Year: 2016

Let G/. H be a Riemannian homogeneous space. For an orthogonal representation φ of H on the Euclidean space Rk+1, there corresponds the vector bundle E=G×φRk+1→G/H with fiberwise inner product. Provided that φ is the direct sum of at most two representations which are either trivial or irreducible, we construct metrics of constant scalar curvature on the unit sphere bundle UE of E. When G/. H is the round sphere, we study the number of constant scalar curvature metrics in the conformal classes of these metrics. © 2016 Elsevier B.V..

Perez-Rodriguez R.,CIATEC | Jons S.,University of Guanajuato | Hernandez-Aguirre A.,CIMAT | Alberto-Ochoa C.,UACJ
International Journal of Advanced Manufacturing Technology | Year: 2014

The flexible jobshop scheduling problem permits the operation of each job to be processed by more than one machine. The idea is to assign the processing sequence of operations on the machines and the assignment of operations on machines such that the systemobjectives can be optimized. The assignment mentioned is a difficult task to implement on real manufacturing environments because there are many assumptions to satisfy, especially when the amount of work is not constant or sufficient to keep the manufacturing process busy for a long time, causing intermittent idle times. An estimation of distribution algorithm-based approach coupled with a simulationmodel is developed to solve the problemand implement the solution. Using the proposed approach, the shop performance can be noticeably improved when different machines are assigned to different schedules. © Springer-Verlag London 2014.

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