"71954"^^ . "0"^^ . . . . . "0"^^ . "The project is concentrated on developing and solving contemporary problems of mathematical analysis, mathematical logic, and mathematical physics. The contribution of the project is the derivation of a number of exact results in the fields mentioned as well as the development of new mathematical methods and procedures, the creation of new models and theories, and the investigation of their properties. The results will contribute to solving the fundamental problems of today's physics of particles and also of those of solid state physics (e.g. the explanation of the origin of mass of elementary particles or the understanding of quantum Hall phenomenon)."@en . "18"^^ . . "18"^^ . . . . . . "Aktu\u00E1ln\u00ED probl\u00E9my matematiky a matematick\u00E9 fyziky"@cs . "28746"^^ . "1"^^ . . "Projekt se soust\u0159e\u010Fuje na rozvoj a \u0159e\u0161en\u00ED aktu\u00E1ln\u00EDch probl\u00E9m\u016F matematick\u00E9 anal\u00FDzy, matematick\u00E9 logiky a matematick\u00E9 fyziky. P\u0159\u00EDnosem bude odvozen\u00ED \u0159ady exaktn\u00EDch v\u00FDsledk\u016F v uveden\u00FDch discipl\u00EDn\u00E1ch spolu s rozvojem nov\u00FDch matematick\u00FDch metod a postup\u016F, vytvo\u0159en\u00ED nov\u00FDch model\u016F a teori\u00ED a zji\u0161t\u011Bn\u00ED jejich z\u00E1kladn\u00EDch vlastnost\u00ED. Lze o\u010Dek\u00E1vat, \u017Ee v\u00FDsledky p\u0159isp\u011Bj\u00ED k \u0159e\u0161en\u00ED z\u00E1kladn\u00EDch probl\u00E9m\u016F sou\u010Dasn\u00E9 fyziky \u010D\u00E1stic a fyziky kondenzovan\u00E9ho stavu (jako nap\u0159. p\u016Fvodu hmotnosti element\u00E1rn\u00EDch \u010D\u00E1stic \u010Di pochopen\u00ED kvantov\u00E9ho Hallova jevu)."@cs . "Contemporary problems of mathematics and mathematical physics"@en .