@book{VanLeeuwenChengReich2015, author = {Van Leeuwen, Peter Jan and Cheng, Yuan and Reich, Sebastian}, title = {Nonlinear data assimilation}, series = {Frontiers in applied dynamical systems: reviews and tutorials ; 2}, journal = {Frontiers in applied dynamical systems: reviews and tutorials ; 2}, publisher = {Springer}, address = {Cham}, isbn = {978-3-319-18346-6}, doi = {10.1007/978-3-319-18347-3}, pages = {xii, 118}, year = {2015}, abstract = {This book contains two review articles on nonlinear data assimilation that deal with closely related topics but were written and can be read independently. Both contributions focus on so-called particle filters. The first contribution by Jan van Leeuwen focuses on the potential of proposal densities. It discusses the issues with present-day particle filters and explorers new ideas for proposal densities to solve them, converging to particle filters that work well in systems of any dimension, closing the contribution with a high-dimensional example. The second contribution by Cheng and Reich discusses a unified framework for ensemble-transform particle filters. This allows one to bridge successful ensemble Kalman filters with fully nonlinear particle filters, and allows a proper introduction of localization in particle filters, which has been lacking up to now.}, language = {en} } @book{ZassZagrebnovSukiasyanetal.2020, author = {Zass, Alexander and Zagrebnov, Valentin and Sukiasyan, Hayk and Melkonyan, Tatev and Rafler, Mathias and Poghosyan, Suren and Zessin, Hans and Piatnitski, Andrey and Zhizhina, Elena and Pechersky, Eugeny and Pirogov, Sergei and Yambartsev, Anatoly and Mazzonetto, Sara and Lykov, Alexander and Malyshev, Vadim and Khachatryan, Linda and Nahapetian, Boris and Jursenas, Rytis and Jansen, Sabine and Tsagkarogiannis, Dimitrios and Kuna, Tobias and Kolesnikov, Leonid and Hryniv, Ostap and Wallace, Clare and Houdebert, Pierre and Figari, Rodolfo and Teta, Alessandro and Boldrighini, Carlo and Frigio, Sandro and Maponi, Pierluigi and Pellegrinotti, Alessandro and Sinai, Yakov G.}, title = {Proceedings of the XI international conference stochastic and analytic methods in mathematical physics}, number = {6}, editor = {Roelly, Sylvie and Rafler, Mathias and Poghosyan, Suren}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, isbn = {978-3-86956-485-2}, issn = {2199-4951}, doi = {10.25932/publishup-45919}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-459192}, publisher = {Universit{\"a}t Potsdam}, pages = {xiv, 194}, year = {2020}, abstract = {The XI international conference Stochastic and Analytic Methods in Mathematical Physics was held in Yerevan 2 - 7 September 2019 and was dedicated to the memory of the great mathematician Robert Adol'fovich Minlos, who passed away in January 2018. The present volume collects a large majority of the contributions presented at the conference on the following domains of contemporary interest: classical and quantum statistical physics, mathematical methods in quantum mechanics, stochastic analysis, applications of point processes in statistical mechanics. The authors are specialists from Armenia, Czech Republic, Denmark, France, Germany, Italy, Japan, Lithuania, Russia, UK and Uzbekistan. A particular aim of this volume is to offer young scientists basic material in order to inspire their future research in the wide fields presented here.}, language = {en} } @book{OPUS4-43561, title = {Implementation research on problem solving in school settings}, series = {Ars inveniendi et dejudicandi ; 13}, journal = {Ars inveniendi et dejudicandi ; 13}, editor = {Kuzle, Ana and Rott, Benjamin and Gebel, Inga}, publisher = {WTM-Verlag}, address = {M{\"u}nster}, isbn = {978-3-95987-116-7}, pages = {IV, 220}, year = {2019}, language = {en} } @book{OPUS4-41720, title = {Mathematik mit digitalen Medien - konkret}, series = {Lernen, Lehren und Forschen mit digitalen Medien in der Primarstufe ; 4}, journal = {Lernen, Lehren und Forschen mit digitalen Medien in der Primarstufe ; 4}, editor = {Ladel, Silke and Kortenkamp, Ulrich and Etzold, Heiko}, publisher = {WTM-Verlag}, address = {M{\"u}nster}, isbn = {978-3-95987-078-8}, publisher = {Universit{\"a}t Potsdam}, year = {2018}, abstract = {Neue Medien" war {\"u}ber viele Jahre hinweg das Codewort f{\"u}r Computer, die den Einzug in den Schulunterricht schaffen sollten - wenn es nach den Bef{\"u}rwortern ging. Die Widerst{\"a}nde, gerade in der Grundschule, waren groß und vielf{\"a}ltig. Es ist verst{\"a}ndlich, dass kurz nach der spielerischen Heranf{\"u}hrung an Bildung im Kindergarten, in einer Zeit, in der die Sch{\"u}lerinnen und Sch{\"u}ler auch das soziale Miteinander ein{\"u}ben m{\"u}ssen und auch fein- und grobmotorische F{\"a}higkeiten erwerben sollen, das vereinzelnde Sitzen vor einem Bildschirm nicht zu den obersten Priorit{\"a}ten geh{\"o}rt - und auch unserer Meinung nach nicht geh{\"o}ren sollte. In den letzten Jahren hat sich der Begriff der neuen Medien aber ver{\"a}ndert, und das, was bisher damit verbunden wurde, ist mit der „Digitalisierung" nicht nur des Schulunterrichts, sondern des ganzen Lebens, zu einem Dreh- und Angelpunkt der Bildung geworden. Statt klobigen Computern mit Bildschirmen, die das Miteinander schon {\"u}ber die Ausstattung der Computerr{\"a}ume in die falsche Bahn lenken, haben mobile Ger{\"a}te in der Hand der Sch{\"u}lerinnen und Sch{\"u}ler {\"u}bernommen. Diese k{\"o}nnen nun gemeinsam an einem Ger{\"a}t arbeiten, sie k{\"o}nnen direkt mit den Bildschirminhalten interagieren, sie k{\"o}nnen die Kameras, Mikrophone und Sensoren nutzen, um authentische Daten zu erfassen und zu verarbeiten, sie k{\"o}nnen auch außerhalb des Klassenraums oder der Schule damit arbeiten und haben inzwischen fast jederzeit das ganze Wissen des Internets mit dabei. Schwerpunkt dieses Bandes ist daher der Umgang mit Tablets und den darauf laufenden „Apps" im Mathematikunterricht. In f{\"u}nf Beitr{\"a}gen werden konkrete Unterrichtsvorschl{\"a}ge gemacht, die als Blaupausen f{\"u}r App-gest{\"u}tzten Unterricht dienen k{\"o}nnen. Erg{\"a}nzt wird dieser Band durch einen allgemeinen Leitfaden zur Beurteilung von Apps f{\"u}r den Mathematikunterricht samt Beispielen.}, language = {de} } @book{Zhuchok2018, author = {Zhuchok, Anatolii V.}, title = {Relatively free doppelsemigroups}, number = {5}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, isbn = {978-3-86956-427-2}, issn = {2199-4951}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-407719}, publisher = {Universit{\"a}t Potsdam}, pages = {vii, 78}, year = {2018}, abstract = {A doppelalgebra is an algebra defined on a vector space with two binary linear associative operations. Doppelalgebras play a prominent role in algebraic K-theory. We consider doppelsemigroups, that is, sets with two binary associative operations satisfying the axioms of a doppelalgebra. Doppelsemigroups are a generalization of semigroups and they have relationships with such algebraic structures as interassociative semigroups, restrictive bisemigroups, dimonoids, and trioids. In the lecture notes numerous examples of doppelsemigroups and of strong doppelsemigroups are given. The independence of axioms of a strong doppelsemigroup is established. A free product in the variety of doppelsemigroups is presented. We also construct a free (strong) doppelsemigroup, a free commutative (strong) doppelsemigroup, a free n-nilpotent (strong) doppelsemigroup, a free n-dinilpotent (strong) doppelsemigroup, and a free left n-dinilpotent doppelsemigroup. Moreover, the least commutative congruence, the least n-nilpotent congruence, the least n-dinilpotent congruence on a free (strong) doppelsemigroup and the least left n-dinilpotent congruence on a free doppelsemigroup are characterized. The book addresses graduate students, post-graduate students, researchers in algebra and interested readers.}, language = {en} } @book{Blanchard2011, author = {Blanchard, Gilles}, title = {Komplexit{\"a}tsanalyse in Statistik und Lerntheorie : Antrittsvorlesung 2011-05-04}, publisher = {Univ.-Bibl.}, address = {Potsdam}, year = {2011}, abstract = {Gilles Blanchards Vortrag gew{\"a}hrt Einblicke in seine Arbeiten zur Entwicklung und Analyse statistischer Eigenschaften von Lernalgorithmen. In vielen modernen Anwendungen, beispielsweise bei der Schrifterkennung oder dem Spam- Filtering, kann ein Computerprogramm auf der Basis vorgegebener Beispiele automatisch lernen, relevante Vorhersagen f{\"u}r weitere F{\"a}lle zu treffen. Mit der mathematischen Analyse der Eigenschaften solcher Methoden besch{\"a}ftigt sich die Lerntheorie, die mit der Statistik eng zusammenh{\"a}ngt. Dabei spielt der Begriff der Komplexit{\"a}t der erlernten Vorhersageregel eine wichtige Rolle. Ist die Regel zu einfach, wird sie wichtige Einzelheiten ignorieren. Ist sie zu komplex, wird sie die vorgegebenen Beispiele "auswendig" lernen und keine Verallgemeinerungskraft haben. Blanchard wird erl{\"a}utern, wie Mathematische Werkzeuge dabei helfen, den richtigen Kompromiss zwischen diesen beiden Extremen zu finden.}, language = {de} } @book{OPUS4-33496, title = {Surveys in stochastic processes}, editor = {Blath, Jochen and Imkeller, Peter and Roelly, Sylvie}, publisher = {European Mathematical Society}, address = {Z{\"u}rich}, isbn = {978-3-03719-072-2}, pages = {XIII, 248 S.}, year = {2011}, language = {en} } @book{KellerRoellyValleriana2011, author = {Keller, Peter and Roelly, Sylvie and Valleriana, Angelo}, title = {On Time Duality for Markov Chains with Asborbing Boundardies}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Mathematische Statistik un}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Mathematische Statistik un}, publisher = {Univ.}, address = {Potsdam}, issn = {1613-3307}, pages = {18 S.}, year = {2011}, language = {en} } @book{Liero2010, author = {Liero, Hannelore}, title = {Estimation and testing the effect of covariates in accelerated life time models under censoring}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Mathematische Statistik un}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Mathematische Statistik un}, publisher = {Univ.}, address = {Potsdam}, issn = {1613-3307}, pages = {16 S.}, year = {2010}, language = {en} } @book{Kuxhaus2010, author = {Kuxhaus, Olga}, title = {Parametrische Sch{\"a}tzung von elliptischen Copulafunktionen}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Mathematische Statistik un}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Mathematische Statistik un}, publisher = {Univ.}, address = {Potsdam}, issn = {1613-3307}, pages = {105 S.}, year = {2010}, language = {de} } @book{SchulzeDemuthAlbeverioetal.2001, author = {Schulze, Bert-Wolfgang and Demuth, Michael and Albeverio, Sergio and Schrohe, Elmar}, title = {Advances in Partial differential equations}, publisher = {Birkh{\"a}user}, address = {Basel}, year = {2001}, language = {en} } @book{AlbeverioDemuthSchroheetal.2002, author = {Albeverio, Sergio and Demuth, Michael and Schrohe, Elmar and Schulze, Bert-Wolfgang}, title = {Parabolicity, volterra calculus, and conical singularities : a volume of advances in partial differential equations}, series = {Operator theory : advances and applications}, volume = {138}, journal = {Operator theory : advances and applications}, publisher = {Birkh{\"a}user Verl.}, address = {Basel}, isbn = {3-7643-6906-x}, pages = {358 S.}, year = {2002}, language = {en} } @book{ScholzHopkins2008, author = {Scholz, Erhard and Hopkins, Michael J.}, title = {Euler-Vorlesung 2008 : von den Anf{\"a}ngen des Z{\"a}hlens topologischer Eigenschaften ; how topologists count things : Sonderveranstaltung 2008-05-23}, publisher = {Univ.-Bibl.}, address = {Potsdam}, year = {2008}, language = {de} } @book{DeneckeWismath2009, author = {Denecke, Klaus-Dieter and Wismath, Shelly L.}, title = {Universal Algebra and Coalgebra}, publisher = {World Scientific Publ. Co}, address = {Singapore}, isbn = {978-981-283745-5}, pages = {278 S.}, year = {2009}, language = {en} } @book{KapanadzeSchulze2003, author = {Kapanadze, David and Schulze, Bert-Wolfgang}, title = {Crack theory and edge singularities}, series = {Mathematics and its applications}, volume = {561}, journal = {Mathematics and its applications}, publisher = {Kluwer Acad. Publ}, address = {Dordrecht}, isbn = {1-4020-1524-0}, pages = {485 S.}, year = {2003}, language = {en} } @book{Boeckmann1992, author = {B{\"o}ckmann, Christine}, title = {Curve fitting and identification of physical spectra}, series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, volume = {1992, 18}, journal = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {17 Bl.}, year = {1992}, language = {en} } @book{Boeckmann1992, author = {B{\"o}ckmann, Christine}, title = {A modification of the Trust-Region Gauss-Newton method to solve separable nonlinear least squares problems}, series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, volume = {1992, 17}, journal = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {14 Bl.}, year = {1992}, language = {en} } @book{Junek1992, author = {Junek, Heinz}, title = {Factorization of operator ideals and boundes sets in tensor products of locally convex spaces}, series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, volume = {1992, 16}, journal = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {14 Bl.}, year = {1992}, language = {en} } @book{Kasper1992, author = {Kasper, Uwe}, title = {Particle and entropy creation in cosmology}, series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, volume = {1992, 13}, journal = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {5 Bl.}, year = {1992}, language = {en} } @book{ReuterSchmidt1992, author = {Reuter, Stefan and Schmidt, Hans-J{\"u}rgen}, title = {On the Wheeler-de Witt equation for homogeneous cosmological models}, series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, volume = {1992, 11}, journal = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {16 Bl.}, year = {1992}, language = {en} }