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Below is a very interesting letter from Arieh Iserles about why should we boycott Elsevier: —– I strongly encourage you to read the very recent posting of Doug Arnold on the IMU Journals’ blog, http://blog.mathunion.org/journals/ . Also, more humbly, my posting on Tim Gowers’s blog, Coming late to this discussion (but not to the issue . . . → Read More: Boycotting Elsevier: let’s join the efforts of our scientific community! I’m coming back here to an old but still open (as far as I know) problem: Show that a generic Hamiltonian system with a fixed point and whose resonance degree at that point is at least 2 is not formally integrable. Recall that, if the system is non-resonant then it’s formally integrable due to . . . → Read More: Formal non-integrability of resonant systems Last updated: 09/12/2011 This is a brief real-time report on the conference OSIF (Toulouse 1, 08-09/Dec/2011) About 40+ participants. Some are my students Lunchs and coffees are served at the conference free of charge for the participants . The organizers are A. Blanchet & S. Villeneuve (my colleagues at Toulouse 1) Thursday: 9h30: Goran . . . → Read More: Stochastic Control and Optimal Stopping in Finance (Toulouse 12/2011) (Devoir Maison No. 3, Licence 2 en Mathématiques, Novembre 2011) Exercice 1. (Somme de carrés des coefficients). Soit un espace euclidien de dimension , et soit . 1) Montrer que, si et sont deux bases orthonormales de , alors En déduire que la quantité est indépendante de la base orthonormale choisie. (Indication: utiliser . . . → Read More: Exercices d’algèbre linéaire (DM3/2011) This is the list of books that we will order for the Doson School, with their ISBN numbers. (There are too many books on the subject, and this selection is based mainly on the preferences of the lecturers). 1) B. Øksendal and A. Sulem: Applied Stochastic Control of Jump Diffusions, ISBN-10: 3540140239 2) H. . . . → Read More: Some Financial Maths Books with ISBN for Doson School Updated 06/Dec/2011: This paper is now published online in Bulletin Brazilian Math Soc, Volume 42, Number 4, 853-867: http://www.springerlink.com/content/t623n03m400p6870/ Finally I had the courage to revise my paper on the entropy of geometric structures. The revised version is here (pdf file). Arxiv: http://arxiv.org/abs/1109.5249 This paper is relatively simple, but I still like it very . . . → Read More: Entropy of geometric structures Updated 21/Oct/2011: The editors just informed us that this paper has been officially accepted for publication in Advances Math. We have revised our paper (with Eva Miranda and Philippe Monnier) on the rigidity of Hamiltonian actions of compact semisimple Lie groups on Poisson manifolds. The revised version is available here. This paper was submitted . . . → Read More: Rigidity of Hamiltonian actions (revised version) We want to buy some books on financial mathematics and bring them to Vietnam for the thematic school in Doson (24/Oct-01/Nov/2011).After the school, these books will be donated to a library in Hanoi. I need a list of best books to buy. If you have any suggestion, please let me know by writing a . . . → Read More: List of books to be bought for the school on financial mathematics for incompressible flow, without external forces: Here is the velocity field written in the cylindrical coordinate system , where is the radius and is the angle in the plane, is the pressure, and is the viscosity coefficient. The continuity equation reads: NB: is given by the formula , and the velocity field is: Cylindrical . . . → Read More: Navier Stokes Equation in cylindrical coordinates Finally, “Lectures on Poisson Geometry”, which is a collection of lectures on various aspects of Poisson geometry, edited by T. Ratiu, A. Weinstein, and myself, has appeared as Volume 17 of the series Geometry and Topology Monographs: http://pjm.math.berkeley.edu/gtm/2011/17/ Poisson geometry is a rapidly growing subject, with many interactions and applications in areas of mathematics . . . → Read More: Lectures on Poisson Geometry (Geometry and Topology Monographs, Vol. 17) I’m constructing here an example of what I want to call “a zucon flow” of incompressible fluid. It is not a solution of anything (or more precisely, you’ll need an appropriate external force to get such a flow). But nevertheless it’s interesting to imagine such flows. Zucon means “petit voyou”, and it has an . . . → Read More: Zucon flows There are examples, due to Shnirelman and Scheffer, of non-zero weak solutions to the Euler equations (without external forces), which are zero when and . That is, a movement which appears from no-where, and then disappears after some finite time. Sounds a bit crazy, doesn’t it ? The method used by Shnirelman is to . . . → Read More: Non-uniqueness of weak solutions to Euler equations (Notes on INS) These are the notes that I’m taking for myself in order to learn some statistical mechanics. The main reference is: Anton Bovier, Lecture notes on Gibbs measures and phase transitions (Bonn University) In thermodynamics one has: where are respectively the mechanical, chemical and thermal components of the energy. is also denoted by , . . . → Read More: Gibbs measures |
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