. . . "2012-01-01+01:00"^^ . . " uniform distribution" . " distribution functions" . "Number theory and its applications"@en . "C\u00EDlem projektu je podpora procesu z\u00EDsk\u00E1v\u00E1n\u00ED nov\u00FDch v\u011Bdeck\u00FDch poznatk\u016F v oblasti teorie \u010D\u00EDsel s c\u00EDlem jejich publikace v \u010Dasopisech a jejich prezentace na mezin\u00E1rodn\u00EDch konferenc\u00EDch. Do pr\u00E1ce na projektu budou zapojeni i doktorandi, a v\u00FDsledky budou vyu\u017Eity ve v\u00FDuce poslucha\u010D\u016F vysok\u00FDch \u0161kol. V\u011Bdn\u00E1 oblast, do kter\u00E9 spad\u00E1 p\u0159edkl\u00E1dan\u00FD projekt je matematika, p\u0159esn\u011Bji teorie \u010D\u00EDsel. P\u0159edm\u011Btem v\u00FDzkumu budou distribu\u010Dn\u00ED vlastnosti \u010D\u00EDseln\u00FDch posloupnost\u00ED. Tyto vlastnosti maj\u00ED krom\u011B teoretick\u00E9ho v\u00FDznamu i praktick\u00E9 vyu\u017Eit\u00ED, proto\u017Ee jsou spojeny s vyhodnocov\u00E1n\u00EDm vlastnost\u00ED gener\u00E1tor\u016F pseudon\u00E1hodn\u00FDch \u010D\u00EDsel. D\u016Fle\u017Eitost takov\u00E9hoto v\u00FDzkumu vzrostla zejm\u00E9na s rozvojem komunika\u010Dn\u00EDch technologi\u00ED, kde mnoh\u00E9 z nejpou\u017E\u00EDvan\u011Bj\u0161\u00EDch kryptografick\u00FDch protokol\u016F (nap\u0159. v bankovnictv\u00ED, vyhodnocen\u00ED bezpe\u010Dnosti informa\u010Dn\u00EDch struktur, atd.) jsou zalo\u017Eeny pr\u00E1v\u011B na distribu\u010Dn\u00EDch vlastnostech generovan\u00FDch \u010D\u00EDseln\u00FDch posloupnost\u00ED. Dal\u0161\u00EDm vyu\u017Eit\u00EDm jsou aplikace quasi Monte Carlo metody v numerick\u00FDch v\u00FDpo\u010Dtech." . "2013-12-31+01:00"^^ . . "2014-06-30+02:00"^^ . . " dynamical systems" . . "Teorie \u010D\u00EDsel a jej\u00ED aplikace" . "This project is being realized in the framework of the MOBILITY Activity that aims primarily on establishing and strenghtening ties with foreign research institutions. The control of particular outputs is not implemented by the evalution committee, but the correctness of allocated finances and the adequacy of their use are checked."@en . . "Sequences; dynamical systems; uniform distribution; distribution functions; pseudo random number generators; generalized convergence of sequences; arithmetic densities"@en . . "1"^^ . "0"^^ . "1"^^ . "0"^^ . . . . "0"^^ . "Sequences" . "Projekt je realizov\u00E1n v r\u00E1mci Aktivity MOBILITY, jej\u00EDm\u017E hlavn\u00EDm c\u00EDlem je nav\u00E1z\u00E1n\u00ED a prohlubov\u00E1n\u00ED kontakt\u016F se zahrani\u010Dn\u00EDmi v\u00FDzkumn\u00FDmi institucemi. Neprob\u00EDh\u00E1 tedy kontrola d\u00EDl\u010D\u00EDch v\u00FDstup\u016F projektu prost\u0159ednictv\u00EDm hodnot\u00EDc\u00ED komise, av\u0161ak je kontrolov\u00E1na spr\u00E1vnost \u010Derp\u00E1n\u00ED p\u0159id\u011Blen\u00FDch financ\u00ED a p\u0159im\u011B\u0159enost jejich vyu\u017Eit\u00ED."@cs . . . "2013-02-25+01:00"^^ . . . . "http://www.isvav.cz/projectDetail.do?rowId=7AMB12SK128"^^ . . " pseudo random number generators" . "7AMB12SK128" . " generalized convergence of sequences" . "Aim of the project is to provide a frame for a process of proving new results which could be published in international journals and as well as presented on international conferences. The graduate students will be also integrated in the project team and the outcome of the project will also be used in the teaching processs. The work of the project falls is mathematics, more precisely the number theory. The subject of research will be the distribution properties of number sequences. These properties have besides their theoretical importance also a practical utilization, for they are connected with the evaluation of pseudo random number generators. The relevance of such research is growing due to the development of communication technologies (e.g. in bank services, evaluation of security of IT structures, etc.) many of which are utilizing cryptographic protocols based on the distribution properties of generated number sequences. Another field of applications are the quasi Monte Carlo numerical methods"@en .