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This paper is a brief introduction to idempotent and tropical mathematics. Tropical mathematics can be treated as a result of the so-called Maslov dequantization of the traditional mathematics over numerical fields as the Planck constant…

General Mathematics · Mathematics 2007-05-23 G. L. Litvinov

A very brief introduction to tropical and idempotent mathematics is presented. Applications to classical mechanics and geometry are especially examined.

Rings and Algebras · Mathematics 2010-05-11 G. L. Litvinov

A brief introduction to tropical and idempotent mathematics (with an emphasys on idempotent functional analysis) is presented. Applications to classical mechanics and geometry are especially examined.

Mathematical Physics · Physics 2010-05-10 Grigory L. Litvinov

A brief introduction into Idempotent Mathematics and an idempotent version of Interval Analysis are presented. Some applications are discussed.

Numerical Analysis · Mathematics 2025-10-20 Grigori Litvinov , Viktor Maslov , Andrei Sobolevskii

Tropical and idempotent analysis with their relations to the Hamilton-Jacobi and matrix Bellman equations are discussed. Some dequantization procedures are important in tropical and idempotent mathematics. In particular, the…

Rings and Algebras · Mathematics 2012-03-05 Grigory L. Litvinov

This volume contains the proceedings of an International Workshop on Idempotent and Tropical Mathematics and Problems of Mathematical Physics, held at the Independent University of Moscow, Russia, on August 25-30, 2007.

Rings and Algebras · Mathematics 2007-12-16 Grigory Litvinov , Victor Maslov , Sergei Sergeev

A very brief introduction to tropical and idempotent mathematics is presented. Tropical mathematics can be treated as a result of a dequantization of the traditional mathematics as the Planck constant tends to zero taking imaginary values.…

Numerical Analysis · Mathematics 2012-09-11 G. L. Litvinov

This review presents an introduction to Quantum Cosmology, including the mathematical methods essential to the canonical approach, some of the existing conceptual problems and the connection of the models to possible observables.

General Relativity and Quantum Cosmology · Physics 2023-09-19 Paola C. M. Delgado

The paper is an introduction to intuitionistic mathematics.

Logic · Mathematics 2021-02-03 Wim Veldman

This volume contains the proceedings of an International Workshop on Idempotent and Tropical Mathematics and Problems of Mathematical Physics, held at the Independent University of Moscow, Russia, on August 25-30, 2007.

Rings and Algebras · Mathematics 2007-12-16 Grigory Litvinov , Victor Maslov , Sergei Sergeev

This is an intorduction to some of the basic methods and results of dense matter physics.It is aimed at readers interested in astrophysical and physical applications.

Astrophysics · Physics 2007-05-23 V. Celebonovic

This brief note, written for non-specialists, aims at drawing an introductive overview of the multiverse issue.

Astrophysics · Physics 2014-11-18 Aurelien Barrau

The practically important classes of equal-input and of monotone Markov matrices are revisited, with special focus on embeddability, infinite divisibility, and mutual relations. Several uniqueness results for the classic Markov embedding…

Probability · Mathematics 2022-09-27 Michael Baake , Jeremy Sumner

This book is a short introduction into dyadic analysis with applications to classical weighted norm inequalities.

Classical Analysis and ODEs · Mathematics 2015-08-25 Andrei K. Lerner , Fedor Nazarov

This is a brief introduction to the basic concepts of topology. It includes the basic constructions, discusses separation properties, metric and pseudometric spaces, and gives some applications arising from the use of topology in computing.

Logic · Mathematics 2015-03-04 E. -E. Doberkat

This is a very brief introduction to quantum computing and quantum information theory, primarily aimed at geometers. Beyond basic definitions and examples, I emphasize aspects of interest to geometers, especially connections with asymptotic…

History and Overview · Mathematics 2018-01-19 J. M. Landsberg

The paper consists of lecture notes for a mini-course given by the authors at the G\"okova Geometry \& Topology conference in May 2014. We start the exposition with tropical curves in the plane and their applications to problems in…

Algebraic Geometry · Mathematics 2015-02-23 Erwan Brugallé , Ilia Itenberg , Grigory Mikhalkin , Kristin Shaw

This is a brief reminder, with extensions, from a different angle and for a less specialized audience, of my presentation at WGMP32 in July 2013, to which I refer for more details on the topics hinted at in the title, mainly deformation…

Mathematical Physics · Physics 2023-04-18 Daniel Sternheimer

Short introduction to exotic differential structures on manifolds is given. The possible physical context of this mathematical curiosity is discussed. The topic is very interesting although speculative.

High Energy Physics - Theory · Physics 2011-04-15 Jan Sladkowski

This is an expository article for the Encyclopedia of Mathematical Physics on the subject in the title.

Mathematical Physics · Physics 2007-05-23 Steve Zelditch
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