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Download Asymptotics in Dynamics, Geometry and PDEs; Generalized by Ovidiu Costin, Frédéric Fauvet, Frédéric Menous, David PDF

By Ovidiu Costin, Frédéric Fauvet, Frédéric Menous, David Sauzin

Those are the complaints of a one-week foreign convention established on asymptotic research and its purposes. They include significant contributions facing - mathematical physics: PT symmetry, perturbative quantum box conception, WKB research, - neighborhood dynamics: parabolic structures, small denominator questions, - new facets in mildew calculus, with comparable combinatorial Hopf algebras and alertness to multizeta values, - a brand new family members of resurgent capabilities with regards to knot idea.

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Extra info for Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation: Proceedings of the conference held in CRM Pisa, 12-16 October 2009, Vol. I ... of the Scuola Normale Superiore / CRM Series)

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1 Some heuristics . . . . . . . . . 2 The long chain behind nir//mir . . . . . 3 The nir transform . . . . . . . . . 4 The reciprocation transform . . . . . . 5 The mir transform . . . . . . . . 6 Translocation of the nir transform . . . . 7 Alternative factorisations of nir. 8 Application: kernel of the nir transform . . . 9 Comparing/extending/inverting nir and mir . . 10 Parity relations . . . . . . . . . 85 Outer generators .

Theor. 40, F153 (2007). [24] A. F RING, J. Phys. A: Math. Theor. 40, 4215 (2007). [25] B. BAGCHI and A. F RING, J. Phys. A: Math. Theor. 41, 392004 (2008). [26] C. M. B ENDER and J. F EINBERG, J. Phys. A: Math. Theor. 41, 244004 (2008). [27] T. L. C URTRIGHT and D. B. FAIRLIE, J. Phys. A: Math. Theor. 41 No 24 (20 June 2008) 244009 (2pp) [28] C. M. B ENDER , F. C OOPER , A. K HARE , B. M IHAILA , and A. S AXENA, Pramana J. Phys. 73, 375 (2009). [29] P. E. G. A SSIS and A. 1267. [30] C. M. B ENDER , J.

Lett. 104, 061601 (2010) and Ann. Phys. 325, 2332 (2010). [34] J. D. , Secs. 1. [35] C. M. B ENDER , D. C. B RODY, and D. W. H OOK, J. Phys. A: Math. Theor. 41, 352003 (2008). [36] We do not attempt here to make any association between complex energy as used in this paper and unstable states. Unstable states are characteristic of open quantum systems, while in this paper the quantum systems discussed are closed systems. [37] C. M. B ENDER , D. D. H OLM , and D. W. H OOK, J. Phys. A: Math. Theor.

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