Idempotent mathematics and mathematical physics : [electronic resource] international workshop, February 3-10, 2003, Erwin Schr�odinger International Institute for Mathematical Physics, Vienna, Austria / G.L. Litvinov, V.P. Maslov, editors.

Contributor(s): Litvinov, G. L. (Grigori�i Lazarevich), 1944- | Maslov, V. P. (Viktor Pavlovich)Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 377.Publication details: Providence, R.I. : American Mathematical Society, c2005Description: 1 online resource (v, 370 p. : ill.)ISBN: 9780821879672 (online)Subject(s): Mathematical physics -- CongressesAdditional physical formats: Idempotent mathematics and mathematical physics :DDC classification: 530.15 LOC classification: QC19.2 | .I34 2005Online resources: Contents | Contents
Contents:
The Maslov Dequantization, idempotent and tropical mathematics: a very brief introduction / G. L. Litvinov -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/6982 Set coverings and invertibility of functional Galois connections / Marianne Akian, St�ephane Gaubert and Vassili Kolokoltsov -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06983 Discrete max-plus spectral theory / Marianne Akian, St�ephane Gaubert and Cormac Walsh -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06984 Dequantization of coadjoint orbits: moment sets and characteristic varieties / Ali Baklouti -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06985 On the combinatorial aspects of max-algebra / Peter Butkovi�c -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06986 Max-plus convex sets and functions / Guy Cohen, St�ephane Gaubert, Jean-Pierre Quadrat and Ivan Singer -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06987 Algebras of Lukasiewicz's logic and their semiring reducts / A. Di Nola and B. Gerla -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06988 Max-plus approaches to continuous space control and dynamic programming / Wendell H. Fleming and William M. McEneaney -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06989 A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain / K. Khanin, D. Khmelev and A. Sobolevski�i -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06990 The dequantization transform and generalized Newton polytopes / G. L. Litvinov and G. B. Shpiz -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06991 An object-oriented approach to idempotent analysis: integral equations as optimal control problems / Paola Loreti and Marco Pedicini -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06992 Traffic assignment & Gibbs-Maslov semirings / P. Lotito, J.-P. Quadrat and E. Mancinelli -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06993 Viscosity solutions on Lagrangian manifolds and connections with tunnelling operators / D. McCaffrey -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06994 Applications of the generated pseudo-analysis to nonlinear partial differential equations / Endre Pap -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06995 A generalization of the utility theory using a hybrid idempotent-probabilistic measure / Endre Pap -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06996 Amoebas: their spines and their contours / Mikael Passare and August Tsikh -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06997 First steps in tropical geometry / J�urgen Richter-Gebert, Bernd Sturmfels and Thorsten Theobald -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06998 On minimax and idempotent generalized weak solutions to the Hamilton-Jacobi equation / Ilya V. Roublev -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/06999 Dequantisation: semi-direct sums of idempotent semimodules / Edouard Wagneur -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/07000 On $(\min ,\max ,+)$-inequalities / Jacob van der Woude and Geert Jan Olsder -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/07001 Solution of some max-separable optimization problems with inequality constraints / Karel Zimmermann -- http://www.ams.org/conm/377/ http://dx.doi.org/10.1090/conm/377/07002
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Includes bibliographical references.

The Maslov Dequantization, idempotent and tropical mathematics: a very brief introduction / G. L. Litvinov -- Set coverings and invertibility of functional Galois connections / Marianne Akian, St�ephane Gaubert and Vassili Kolokoltsov -- Discrete max-plus spectral theory / Marianne Akian, St�ephane Gaubert and Cormac Walsh -- Dequantization of coadjoint orbits: moment sets and characteristic varieties / Ali Baklouti -- On the combinatorial aspects of max-algebra / Peter Butkovi�c -- Max-plus convex sets and functions / Guy Cohen, St�ephane Gaubert, Jean-Pierre Quadrat and Ivan Singer -- Algebras of Lukasiewicz's logic and their semiring reducts / A. Di Nola and B. Gerla -- Max-plus approaches to continuous space control and dynamic programming / Wendell H. Fleming and William M. McEneaney -- A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain / K. Khanin, D. Khmelev and A. Sobolevski�i -- The dequantization transform and generalized Newton polytopes / G. L. Litvinov and G. B. Shpiz -- An object-oriented approach to idempotent analysis: integral equations as optimal control problems / Paola Loreti and Marco Pedicini -- Traffic assignment & Gibbs-Maslov semirings / P. Lotito, J.-P. Quadrat and E. Mancinelli -- Viscosity solutions on Lagrangian manifolds and connections with tunnelling operators / D. McCaffrey -- Applications of the generated pseudo-analysis to nonlinear partial differential equations / Endre Pap -- A generalization of the utility theory using a hybrid idempotent-probabilistic measure / Endre Pap -- Amoebas: their spines and their contours / Mikael Passare and August Tsikh -- First steps in tropical geometry / J�urgen Richter-Gebert, Bernd Sturmfels and Thorsten Theobald -- On minimax and idempotent generalized weak solutions to the Hamilton-Jacobi equation / Ilya V. Roublev -- Dequantisation: semi-direct sums of idempotent semimodules / Edouard Wagneur -- On $(\min ,\max ,+)$-inequalities / Jacob van der Woude and Geert Jan Olsder -- Solution of some max-separable optimization problems with inequality constraints / 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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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