Idempotent mathematics and mathematical physics : international workshop, February 3-10, 2003, Erwin Schr�odinger International Institute for Mathematical Physics, Vienna, Austria / [electronic resource]
G.L. Litvinov, V.P. Maslov, editors.
- Providence, R.I. : American Mathematical Society, c2005.
- 1 online resource (v, 370 p. : ill.)
- Contemporary mathematics, v. 377 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 377. .
Includes bibliographical references.
The Maslov Dequantization, idempotent and tropical mathematics: a very brief introduction / Set coverings and invertibility of functional Galois connections / Discrete max-plus spectral theory / Dequantization of coadjoint orbits: moment sets and characteristic varieties / On the combinatorial aspects of max-algebra / Max-plus convex sets and functions / Algebras of Lukasiewicz's logic and their semiring reducts / Max-plus approaches to continuous space control and dynamic programming / A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain / The dequantization transform and generalized Newton polytopes / An object-oriented approach to idempotent analysis: integral equations as optimal control problems / Traffic assignment & Gibbs-Maslov semirings / Viscosity solutions on Lagrangian manifolds and connections with tunnelling operators / Applications of the generated pseudo-analysis to nonlinear partial differential equations / A generalization of the utility theory using a hybrid idempotent-probabilistic measure / Amoebas: their spines and their contours / First steps in tropical geometry / On minimax and idempotent generalized weak solutions to the Hamilton-Jacobi equation / Dequantisation: semi-direct sums of idempotent semimodules / On $(\min ,\max ,+)$-inequalities / Solution of some max-separable optimization problems with inequality constraints / G. L. Litvinov -- Marianne Akian, St�ephane Gaubert and Vassili Kolokoltsov -- Marianne Akian, St�ephane Gaubert and Cormac Walsh -- Ali Baklouti -- Peter Butkovi�c -- Guy Cohen, St�ephane Gaubert, Jean-Pierre Quadrat and Ivan Singer -- A. Di Nola and B. Gerla -- Wendell H. Fleming and William M. McEneaney -- K. Khanin, D. Khmelev and A. Sobolevski�i -- G. L. Litvinov and G. B. Shpiz -- Paola Loreti and Marco Pedicini -- P. Lotito, J.-P. Quadrat and E. Mancinelli -- D. McCaffrey -- Endre Pap -- Endre Pap -- Mikael Passare and August Tsikh -- J�urgen Richter-Gebert, Bernd Sturmfels and Thorsten Theobald -- Ilya V. Roublev -- Edouard Wagneur -- Jacob van der Woude and Geert Jan Olsder -- Karel Zimmermann -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/6982 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06983 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06984 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06985 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06986 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06987 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06988 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06989 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06990 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06991 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06992 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06993 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06994 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06995 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06996 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06997 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06998 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06999 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/07000 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/07001 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/07002
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821879672 (online)
Mathematical physics--Congresses.
QC19.2 / .I34 2005
530.15
Includes bibliographical references.
The Maslov Dequantization, idempotent and tropical mathematics: a very brief introduction / Set coverings and invertibility of functional Galois connections / Discrete max-plus spectral theory / Dequantization of coadjoint orbits: moment sets and characteristic varieties / On the combinatorial aspects of max-algebra / Max-plus convex sets and functions / Algebras of Lukasiewicz's logic and their semiring reducts / Max-plus approaches to continuous space control and dynamic programming / A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain / The dequantization transform and generalized Newton polytopes / An object-oriented approach to idempotent analysis: integral equations as optimal control problems / Traffic assignment & Gibbs-Maslov semirings / Viscosity solutions on Lagrangian manifolds and connections with tunnelling operators / Applications of the generated pseudo-analysis to nonlinear partial differential equations / A generalization of the utility theory using a hybrid idempotent-probabilistic measure / Amoebas: their spines and their contours / First steps in tropical geometry / On minimax and idempotent generalized weak solutions to the Hamilton-Jacobi equation / Dequantisation: semi-direct sums of idempotent semimodules / On $(\min ,\max ,+)$-inequalities / Solution of some max-separable optimization problems with inequality constraints / G. L. Litvinov -- Marianne Akian, St�ephane Gaubert and Vassili Kolokoltsov -- Marianne Akian, St�ephane Gaubert and Cormac Walsh -- Ali Baklouti -- Peter Butkovi�c -- Guy Cohen, St�ephane Gaubert, Jean-Pierre Quadrat and Ivan Singer -- A. Di Nola and B. Gerla -- Wendell H. Fleming and William M. McEneaney -- K. Khanin, D. Khmelev and A. Sobolevski�i -- G. L. Litvinov and G. B. Shpiz -- Paola Loreti and Marco Pedicini -- P. Lotito, J.-P. Quadrat and E. Mancinelli -- D. McCaffrey -- Endre Pap -- Endre Pap -- Mikael Passare and August Tsikh -- J�urgen Richter-Gebert, Bernd Sturmfels and Thorsten Theobald -- Ilya V. Roublev -- Edouard Wagneur -- Jacob van der Woude and Geert Jan Olsder -- Karel Zimmermann -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/6982 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06983 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06984 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06985 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06986 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06987 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06988 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06989 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06990 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06991 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06992 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06993 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06994 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06995 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06996 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06997 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06998 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06999 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/07000 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/07001 http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/07002
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821879672 (online)
Mathematical physics--Congresses.
QC19.2 / .I34 2005
530.15