@phdthesis{Lueders1992,
  author    = {L{\"u}ders, Otfried},
  title     = {{\"A}quivalenzen und Dualit{\"a}ten von Variet{\"a}ten und Quasivariet{\"a}ten die von endlichen Algebren erzeugt werden},
  pages     = {111, II Bl. : Ill.},
  year      = {1992},
  language  = {de}
}
@phdthesis{Brademann1993,
  author    = {Brademann, Sylke},
  title     = {Approximationsideale homogener Polynome und holomorpher Funktionen},
  pages     = {104 Bl. + Thesen (1 Ex.)},
  year      = {1993},
  language  = {de}
}
@phdthesis{Koppitz1993,
  author    = {Koppitz, J{\"o}rg},
  title     = {{\"U}ber Halbgruppen mit vereinigungshalbdistributivem Unterhalbgruppenverband},
  pages     = {60 S.},
  year      = {1993},
  language  = {de}
}
@phdthesis{Reichel1994,
  author    = {Reichel, Mario},
  title     = {Bi-Homonorphismen und Hyperidentit{\"a}ten},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {VI, 132, III Bl.},
  year      = {1994},
  language  = {de}
}
@phdthesis{Rainer1994,
  author    = {Rainer, Martin},
  title     = {The topology of the space of real LIE algebras up to dimension 4 with applications to homogeneous cosmological models},
  publisher = {Univ.},
  pages     = {93 S.},
  year      = {1994},
  language  = {en}
}
@phdthesis{Waltz1994,
  author    = {Waltz, Christine},
  title     = {Adjungierte Polynomideale und duale Typen auf Banachr{\"a}umen und ihre Anwendung},
  pages     = {109 Bl.},
  year      = {1994},
  language  = {de}
}
@phdthesis{Dorschfeldt1995,
  author    = {Dorschfeldt, Christoph},
  title     = {An algebra of mellin pseudo-differential operators near corner singularities},
  address   = {Potsdam},
  pages     = {169 S.},
  year      = {1995},
  language  = {en}
}
@phdthesis{Behm1995,
  author    = {Behm, Sebastian},
  title     = {Pseudo-differential operators with parameters on manifolds with edges},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {149 Bl.},
  year      = {1995},
  language  = {en}
}
@phdthesis{Alpers1995,
  author    = {Alpers, Karsten},
  title     = {Diskrete Bewegungsgruppen der pseudoeuklidischen Ebene},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {II, 107 S.},
  year      = {1995},
  language  = {de}
}
@phdthesis{Welke1996,
  author    = {Welke, Dirk},
  title     = {Hyperidentit{\"a}ten partieller Algebren},
  pages     = {104 S.},
  year      = {1996},
  language  = {de}
}
@phdthesis{Buchholz1996,
  author    = {Buchholz, Thilo},
  title     = {Parabolische Pseudodifferentialoperatoren mit operatorwertigen Symbolen},
  address   = {Potsdam},
  pages     = {132 S.},
  year      = {1996},
  language  = {de}
}
@phdthesis{Dicken1997,
  author    = {Dicken, Volker},
  title     = {Simultaneous Activity and Attenuation Reconstruction in Single Photon Emission Computed Tomography, a Nonlinear Ill-Posed Problem},
  address   = {Potsdam},
  pages     = {124 S.},
  year      = {1997},
  language  = {en}
}
@phdthesis{Seiler1997,
  author    = {Seiler, J{\"o}rg},
  title     = {Pseudodifferential Calculus on Manifolds with Non-Compact Edges},
  address   = {Potsdam},
  pages     = {161 S.},
  year      = {1997},
  language  = {en}
}
@phdthesis{Kluske1997,
  author    = {Kluske, Sabine},
  title     = {Das kosmologische "No Hair - Theorem" unter besonderer Ber{\"u}cksichtigung von Gravitationsfeldgleichungen h{\"o}herer Ordnung},
  pages     = {45 S.},
  year      = {1997},
  language  = {de}
}
@phdthesis{Jurke1997,
  author    = {Jurke, Matthias},
  title     = {Ergebnisse zu massiven, freien Netzen {\"u}ber dem Minkowskiraum},
  pages     = {124 S. : graph. Darst.},
  year      = {1997},
  language  = {de}
}
@phdthesis{Plewnia1997,
  author    = {Plewnia, Eckart},
  title     = {Approximationstheorie homogener Polynome auf Banachr{\"a}umen},
  pages     = {94 Bl.},
  year      = {1997},
  language  = {de}
}
@phdthesis{Kaersten1998,
  author    = {K{\"a}rsten, Fatma},
  title     = {A duality for a compact group and a second cohomology of its dual},
  pages     = {76 S.},
  year      = {1998},
  language  = {en}
}
@phdthesis{Koehler1998,
  author    = {K{\"o}hler, Torsten},
  title     = {Effiziente Algorithmen f{\"u}r die Optimierung der Therapie-Planung zur regionalen Hyperthermie},
  address   = {Potsdam},
  pages     = {91 S. : graph. Darst.},
  year      = {1998},
  language  = {de}
}
@phdthesis{Orellana1998,
  author    = {Orellana, Juan B. Gil},
  title     = {Heat trace asymptotics for cone differential operators},
  pages     = {89 S. : graph. Darst.},
  year      = {1998},
  language  = {en}
}
@phdthesis{Lledo1998,
  author    = {Lled{\´o}, Fernando},
  title     = {Algebraic properties of massless free nets},
  address   = {Potsdam},
  pages     = {101 S.},
  year      = {1998},
  language  = {en}
}
@phdthesis{ArwornDenecke1999,
  author    = {Arworn, Srichan and Denecke, Klaus-Dieter},
  title     = {Sets of hypersubstitutions and set-solid varieties},
  year      = {1999},
  language  = {en}
}
@phdthesis{Lukaschewitsch1999,
  author    = {Lukaschewitsch, Michael},
  title     = {Inversion of geoelectric boundary data, a nonlinear ill-posed problem},
  address   = {Potsdam},
  pages     = {iii, 108 S. : graph. Darst.},
  year      = {1999},
  language  = {en}
}
@phdthesis{Arworn1999,
  author    = {Arworn, Srichan},
  title     = {Groupoids of hypersubstitutions and G-solid varieties},
  address   = {Potsdam},
  pages     = {80 S.},
  year      = {1999},
  language  = {en}
}
@phdthesis{Liero1999,
  author    = {Liero, Hannelore},
  title     = {Global measures of deviation of nonparametric curve estimators : strong uniform consistency and limit theorems},
  address   = {Potsdam},
  pages     = {305 S.},
  year      = {1999},
  language  = {en}
}
@phdthesis{Grieme1999,
  author    = {Grieme, Ulrich},
  title     = {Pseudo-differential operators with operator-valued symbols on non-compact manifolds},
  pages     = {114 S.},
  year      = {1999},
  language  = {en}
}
@phdthesis{Krainer2000,
  author    = {Krainer, Thomas},
  title     = {Parabolic pseudodifferential operators and long-time asymptotics of solutions},
  pages     = {273 S.},
  year      = {2000},
  language  = {en}
}
@phdthesis{Pincus2000,
  author    = {Pincus, Richard},
  title     = {Stochastische Ordnungsrelationen Multivarianter Verteilungsfamilien},
  pages     = {112 S.},
  year      = {2000},
  language  = {de}
}
@phdthesis{Eckhoff2000,
  author    = {Eckhoff, Michael},
  title     = {Capacity and the low lying spectrum in attractive markov chains},
  pages     = {111 S.},
  year      = {2000},
  language  = {en}
}
@phdthesis{Gerisch2000,
  author    = {Gerisch, Magnus},
  title     = {Doubly weighted degenerate pseudodifferential operators on non-compact domains},
  pages     = {138 S.},
  year      = {2000},
  language  = {en}
}
@phdthesis{Hanke2001,
  author    = {Hanke, Timo},
  title     = {A direct approach to noncrossed product division algebras},
  pages     = {64 S.},
  year      = {2001},
  language  = {en}
}
@phdthesis{Koppitz2001,
  author    = {Koppitz, J{\"o}rg},
  title     = {M-solide Variet{\"a}ten von Halbgruppen},
  pages     = {183 S.},
  year      = {2001},
  language  = {de}
}
@phdthesis{Lange2002,
  author    = {Lange, Rita},
  title     = {Mathematisierung als didaktische Herausforderung : ein Beitrag zur kognitiven Profilierung der Leistungsf{\"a}higkeit von Schulkindern im Mathematikunterricht durch die Auspr{\"a}gung mathematischen Verst{\"a}ndnisses},
  pages     = {135 S.},
  year      = {2002},
  language  = {de}
}
@phdthesis{Leeratanavalee2002,
  author    = {Leeratanavalee, Sorasak},
  title     = {Weak Hypersubstitutions},
  pages     = {105 S.},
  year      = {2002},
  language  = {en}
}
@phdthesis{Mikayelyan2002,
  author    = {Mikayelyan, Hayk},
  title     = {Parabolic boundary and transmission problems},
  pages     = {137 S.},
  year      = {2002},
  language  = {en}
}
@phdthesis{Hounnon2002,
  author    = {Hounnon, Hippolyte},
  title     = {Hyperidentities in semirings and applications},
  series = {Berichte aus der Mathematik},
  journal   = {Berichte aus der Mathematik},
  publisher = {Shaker},
  address   = {Aachen},
  isbn      = {3-8322-0791-0},
  pages     = {74 S.},
  year      = {2002},
  language  = {en}
}
@phdthesis{Witt2003,
  author    = {Witt, Ingo},
  title     = {Beitr{\"a}ge zur Theorie singul{\"a}rer hyperbolischer Differentialoperatoren},
  address   = {Potsdam},
  pages     = {121 S.},
  year      = {2003},
  language  = {de}
}
@phdthesis{Meyerhoefer2003,
  author    = {Meyerh{\"o}fer, Wolfram},
  title     = {Was testen Tests? : Objektiv-hermeneutische Analysen am Beispiel von TIMSS und PISA},
  pages     = {244 S.},
  year      = {2003},
  language  = {de}
}
@phdthesis{Romanovskiy2004,
  author    = {Romanovskiy, Nikolai},
  title     = {Systems of elasticity theory},
  pages     = {59 S.},
  year      = {2004},
  language  = {en}
}
@phdthesis{Changphas2004,
  author    = {Changphas, Thawhat},
  title     = {Monoids of Hypersubstitutions},
  address   = {Potsdam},
  pages     = {vii, 88 S.},
  year      = {2004},
  language  = {en}
}
@phdthesis{Raetsch2005,
  author    = {R{\"a}tsch, Thoralf},
  title     = {On the Equi-Constistency of the failure of the GAP-1 transfer property and an inaccessible cardinal},
  address   = {Potsdam},
  pages     = {99 S.},
  year      = {2005},
  language  = {en}
}
@phdthesis{Pibaljommee2005,
  author    = {Pibaljommee, Bundit},
  title     = {M-solid Pseudovarieties},
  address   = {Potsdam},
  pages     = {x, 95 S.},
  year      = {2005},
  language  = {en}
}
@phdthesis{Schopka2006,
  author    = {Schopka, Sven},
  title     = {Noncommutative Einstein Manifolds},
  address   = {Potsdam},
  pages     = {vi, 94 S. : graph. Darst.},
  year      = {2006},
  language  = {en}
}
@phdthesis{Dimitrova2006,
  author    = {Dimitrova, Ilinka},
  title     = {Green{\"i}s equivalences on some classes of transformation semigroups},
  address   = {Potsdam},
  pages     = {ix, 91 Bl. : graph. Darst.},
  year      = {2006},
  language  = {en}
}
@phdthesis{Hohberger2006,
  author    = {Hohberger, Horst},
  title     = {Semiclassical asymptotics for the scattering amplitude in the presence of focal points at infinity},
  address   = {Potsdam},
  pages     = {93 S. : graph. Darst.},
  year      = {2006},
  language  = {en}
}
@phdthesis{Martin2006,
  author    = {Martin, Calin-Iulian},
  title     = {Operator Algebras and Complexes of Operators Manifolds with Corners},
  address   = {Potsdam},
  pages     = {138 S.},
  year      = {2006},
  language  = {en}
}
@phdthesis{Dines2006,
  author    = {Dines, Nicoleta},
  title     = {Elliptic operators on corner manifolds},
  pages     = {174 S. : graph. Darst.},
  year      = {2006},
  language  = {en}
}
@phdthesis{Li2006,
  author    = {Li, Xianhua},
  title     = {Arithmetic properties and the characterization of finite groups},
  address   = {Potsdam},
  pages     = {X, 186 S. : graph. Darst.},
  year      = {2006},
  language  = {en}
}
@phdthesis{IglewskaNowak2007,
  author    = {Iglewska-Nowak, Ilona},
  title     = {Poisson wavelet frames on the sphere},
  address   = {Potsdam},
  pages     = {93 S. : graph. Darst.},
  year      = {2007},
  language  = {en}
}
@phdthesis{Jampachon2007,
  author    = {Jampachon, Prakit},
  title     = {Clones of terms and M-solid varieties},
  address   = {Potsdam},
  pages     = {VIII, 93 S. : graph. Darst.},
  year      = {2007},
  language  = {en}
}
@phdthesis{Kirsche2007,
  author    = {Kirsche, Andreas},
  title     = {Regularisierungsverfahren : Entwicklung, Konvergenzuntersuchung und optimale Anpassung f{\"u}r die Fernerkundung},
  address   = {Potsdam},
  pages     = {xv, 188 S. : graph. Darst.},
  year      = {2007},
  language  = {de}
}
@phdthesis{Wei2008,
  author    = {Wei, Yawei},
  title     = {Operators on manifolds with edge and boundary with singular trace conditions},
  address   = {Potsdam},
  pages     = {128 S.: graph. Darst.},
  year      = {2008},
  language  = {en}
}
@phdthesis{Wei2008,
  author    = {Wei, Yawei},
  title     = {Operators on Manifolds with Edge and Boundary with Singular Trace Conditions},
  address   = {Potsdam},
  pages     = {127 S., : graph. Darst.},
  year      = {2008},
  language  = {en}
}
@phdthesis{Srithus2008,
  author    = {Srithus, Ratana},
  title     = {Algebras derived by hypersubstitutions},
  pages     = {XIII, 87 Bl.},
  year      = {2008},
  language  = {en}
}
@phdthesis{Ly2009,
  author    = {Ly, Ibrahim},
  title     = {Asymptotic solutions of the Cauchy problem for nonlinear elliptic differential equations},
  address   = {Potsdam},
  pages     = {VI, 100 S.},
  year      = {2009},
  language  = {en}
}
@phdthesis{Krainer2009,
  author    = {Krainer, Thomas},
  title     = {Elliptic boundary value problems on manifolds with corners},
  pages     = {VI, 269 S.},
  year      = {2009},
  language  = {en}
}
@phdthesis{Butkote2009,
  author    = {Butkote, Runglawan},
  title     = {Universal-algebraic and Semigroup-theoretical Properties of Boolean Operations},
  address   = {Potsdam},
  pages     = {123 S.},
  year      = {2009},
  language  = {en}
}
@phdthesis{Kammanee2010,
  author    = {Kammanee, Athassawat},
  title     = {Some inverse potential problems},
  address   = {Potsdam},
  pages     = {XIV, 128 S.},
  year      = {2010},
  language  = {en}
}
@phdthesis{Musunthia2010,
  author    = {Musunthia, Tiwadee},
  title     = {On the study of varieties of rings with involution},
  address   = {Potsdam},
  pages     = {IV, 89 S. : graph. Darst.},
  year      = {2010},
  language  = {en}
}
@phdthesis{Lekkoksung2010,
  author    = {Lekkoksung, Somsak},
  title     = {Hyperidentities and hypersubstitutions of many-sorted algebras},
  address   = {Potsdam},
  pages     = {X, 98 S.},
  year      = {2010},
  language  = {en}
}
@phdthesis{Chi2010,
  author    = {Chi, Nguyen Phuong},
  title     = {Research on improvement of contents and methods of teaching the elements of probability and statistics in teh Vietnamese upper-secondary school},
  address   = {Potsdam},
  pages     = {272 S. : graph. Darst.},
  year      = {2010},
  language  = {en}
}
@phdthesis{Hayn2010,
  author    = {Hayn, Michael},
  title     = {Wavelet analysis and spline modeling of geophysical data on the sphere},
  address   = {Potsdam},
  pages     = {95 S. : graph. Darst.},
  year      = {2010},
  language  = {en}
}
@phdthesis{Ramadan2010,
  author    = {Ramadan, Ayad},
  title     = {Statistical model for categorical data},
  address   = {Potsdam},
  pages     = {iv, 100 S. : graph. Darst.},
  year      = {2010},
  language  = {en}
}
@phdthesis{Pornsawad2010,
  author    = {Pornsawad, Pornsarp},
  title     = {Solution of nonlinear inverse ill-posed problems via Runge-Kutta methods},
  address   = {Potsdam},
  pages     = {104 S.},
  year      = {2010},
  language  = {en}
}
@phdthesis{Sarasit2011,
  author    = {Sarasit, Napaporn},
  title     = {Algebraic properties of sets of terms},
  address   = {Potsdam},
  pages     = {91 S.},
  year      = {2011},
  language  = {en}
}
@phdthesis{Schachtschneider2011,
  author    = {Schachtschneider, Reyko},
  title     = {Error distribution in regional inversions of potential fields from satellite data},
  address   = {Potsdam},
  pages     = {118 S.},
  year      = {2011},
  language  = {en}
}
@phdthesis{Keller2012,
  author    = {Keller, Peter},
  title     = {Mathematical modeling of molecular motors},
  address   = {Potsdam},
  pages     = {116 S.},
  year      = {2012},
  language  = {en}
}
@phdthesis{Habal2013,
  author    = {Habal, Nadia},
  title     = {Operators on singular manifolds},
  address   = {Potsdam},
  pages     = {203 S.},
  year      = {2013},
  language  = {en}
}
@phdthesis{Rungrottheera2013,
  author    = {Rungrottheera, Wannarut},
  title     = {Corner pseudo-differential operators},
  address   = {Potsdam},
  pages     = {139 S.},
  year      = {2013},
  language  = {en}
}
@phdthesis{Susanti2013,
  author    = {Susanti, Yeni},
  title     = {On Particular n-Clones},
  address   = {Potsdam},
  pages     = {108 S.},
  year      = {2013},
  language  = {en}
}
@phdthesis{Rattana2013,
  author    = {Rattana, Amornrat},
  title     = {Direct and inverse sturm-liouville problems of order four},
  address   = {Potsdam},
  pages     = {121 S.},
  year      = {2013},
  language  = {en}
}
@phdthesis{Supaporn2014,
  author    = {Supaporn, Worakrit},
  title     = {Categorical equivalence of clones},
  pages     = {89},
  year      = {2014},
  language  = {en}
}
@phdthesis{Rudorf2014,
  author    = {Rudorf, Sophia},
  title     = {Protein Synthesis by Ribosomes},
  pages     = {xii, 145},
  year      = {2014},
  language  = {en}
}
@phdthesis{Beinrucker2015,
  author    = {Beinrucker, Andre},
  title     = {Variable selection in high dimensional data analysis with applications},
  school      = {Universit{\"a}t Potsdam},
  pages     = {VII, 107},
  year      = {2015},
  language  = {en}
}
@phdthesis{Trump2015,
  author    = {Trump, Stephanie Sonja},
  title     = {Mathematik in der Physik der Sekundarstufe II!?},
  school      = {Universit{\"a}t Potsdam},
  pages     = {214},
  year      = {2015},
  language  = {de}
}
@phdthesis{AlSaedy2015,
  author    = {Al-Saedy, Ammar Jaffar Muhesin},
  title     = {Normally solvable lagrangian boundary value problems},
  school      = {Universit{\"a}t Potsdam},
  pages     = {110},
  year      = {2015},
  language  = {en}
}
@phdthesis{Chutsagulprom2016,
  author    = {Chutsagulprom, Nawinda},
  title     = {Ensemble-based filters dealing with non-Gaussianity and nonlinearity},
  school      = {Universit{\"a}t Potsdam},
  pages     = {95},
  year      = {2016},
  language  = {en}
}
@phdthesis{Cheng2016,
  author    = {Cheng, Yuan},
  title     = {Recursive state estimation in dynamical systems},
  school      = {Universit{\"a}t Potsdam},
  pages     = {84},
  year      = {2016},
  language  = {en}
}
@phdthesis{Pirhayati2016,
  author    = {Pirhayati, Mohammad},
  title     = {Edge operators and boundary value problems},
  school      = {Universit{\"a}t Potsdam},
  pages     = {VI, 119},
  year      = {2016},
  language  = {en}
}
@phdthesis{Jende2018,
  author    = {Jende, Alexander},
  title     = {On the characterization of particular orthogroups by disjunctions of identities},
  school      = {Universit{\"a}t Potsdam},
  pages     = {112},
  year      = {2018},
  abstract  = {In this thesis, we discuss the characterization of orthogroups by so-called disjunctions of identities. The orthogroups are a subclass of the class of completely regular semigroups, a generalization of the concept of a group. Thus there is for all elements of an orthogroup some kind of an inverse element such that both elements commute. Based on a fundamental result by A.H. Clifford, every completely regular semigroup is a semilattice of completely simple semigroups. This allows the description the gross structure of such semigroup. In particular every orthogroup is a semilattice of rectangular groups which are isomorphic to direct products of rectangular bands and groups. Semilattices of rectangular groups coming from various classes are characterized using the concept of an alternative variety, a generalization of the classical idea of a variety by Birkhoff. After starting with some fundamental definitions and results concerning semigroups, we introduce the concept of disjunctions of identities and summarize some necessary properties. In particular we present some disjunction of identities which is sufficient for a semigroup for being completely regular. Furthermore we derive from this identity some statements concerning Rees matrix semigroups, a possible representation of completely simple semigroups. A main result of this thesis is the general description of disjunctions of identities such that a completely regular semigroup satisfying the described identity is a semilattice of left groups (right groups / groups). In this case the completely regular semigroup is an orthogroup. Furthermore we define various classes of rectangular groups such that there is an exponent taken from a set of pairwise coprime positive integers. An important result is the characterization of the class of all semilattices of particular rectangular groups (taken from the classes defined before) using a set-theoretic minimal set of disjunctions of identities. Additionally we investigate semilattices of groups (so-called Clifford semigroups). For this purpose we consider abelian groups of particular exponents and prove some well-known results from the theory of Clifford semigroups in an alternative way applying the concept of disjunctions of identities. As a practical application of the results concerning semilattices of left zero semigroups and right zero semigroups we identify a particular transformation semigroup. For more detailed information about the product of two arbitrary elements of a semilattice of semigroups we introduce the concept of strong semilattices of semigroups. It is well-known that a semilattice of groups is a strong semilattice of groups. So we can characterize a strong semilattice of groups of particular pairwise coprime exponents by disjunctions of identities. Additionally we describe the class of all strong semilattices of left zero semigroups and right zero semigroups with the help of such kind of identity, and we relate this statement to the theory of normal bands. A possible extension of the already described semilattices of rectangular groups can be achieved by an auxiliary total order (in terms of chains of semigroups). To this end we present a corresponding characterization due to disjunctions of identities which is obviously minimal. A list of open questions which have arisen during the research for this thesis, but left crude, is attached.},
  language  = {en}
}
@phdthesis{Fiedler2019,
  author    = {Fiedler, Bernhard},
  title     = {Change-point detection for seismicity parameters},
  school      = {Universit{\"a}t Potsdam},
  pages     = {129},
  year      = {2019},
  language  = {en}
}
@phdthesis{Tinpun2019,
  author    = {Tinpun, Kittisak},
  title     = {Relative rank of infinite full transformation semigroups with restricted range},
  school      = {Universit{\"a}t Potsdam},
  year      = {2019},
  language  = {en}
}
@phdthesis{Muench2019,
  author    = {M{\"u}nch, Florentin},
  title     = {Discrete Ricci curvature, diameter bounds and rigidity},
  school      = {Universit{\"a}t Potsdam},
  pages     = {68},
  year      = {2019},
  language  = {en}
}
@phdthesis{Goebel2019,
  author    = {G{\"o}bel, Franziska},
  title     = {Contributions to multiscale statistical analysis on random geometric graphs},
  school      = {Universit{\"a}t Potsdam},
  pages     = {127},
  year      = {2019},
  language  = {en}
}
@phdthesis{Schwarz2020,
  author    = {Schwarz, Michael},
  title     = {Nodal domains and boundary representation for Dirichlet forms},
  school      = {Universit{\"a}t Potsdam},
  pages     = {164},
  year      = {2020},
  language  = {en}
}
@phdthesis{Zadorozhnyi2021,
  author    = {Zadorozhnyi, Oleksandr},
  title     = {Contributions to the theoretical analysis of the algorithms with adversarial and dependent data},
  school      = {Universit{\"a}t Potsdam},
  pages     = {144},
  year      = {2021},
  abstract  = {In this work I present the concentration inequalities of Bernstein's type for the norms of Banach-valued random sums under a general functional weak-dependency assumption (the so-called \$\cC-\$mixing). The latter is then used to prove, in the asymptotic framework, excess risk upper bounds of the regularised Hilbert valued statistical learning rules under the τ-mixing assumption on the underlying training sample. These results (of the batch statistical setting) are then supplemented with the regret analysis over the classes of Sobolev balls of the type of kernel ridge regression algorithm in the setting of online nonparametric regression with arbitrary data sequences. Here, in particular, a question of robustness of the kernel-based forecaster is investigated. Afterwards, in the framework of sequential learning, the multi-armed bandit problem under \$\cC-\$mixing assumption on the arm's outputs is considered and the complete regret analysis of a version of Improved UCB algorithm is given. Lastly, probabilistic inequalities of the first part are extended to the case of deviations (both of Azuma-Hoeffding's and of Burkholder's type) to the partial sums of real-valued weakly dependent random fields (under the type of projective dependence condition).},
  language  = {en}
}
@phdthesis{Günther2023,
  author    = {G{\"u}nther, Claudia-Susanne},
  title     = {Das Eigene und das Fremde},
  school      = {Universit{\"a}t Potsdam},
  pages     = {245},
  year      = {2023},
  abstract  = {Die vorliegende Arbeit stellt eine Untersuchung des Fremdverstehens von Lehrkr{\"a}ften im Mathematikunterricht dar. Mit ‚Fremdverstehen' soll dabei - in Anlehnung an den Soziologen Alfred Sch{\"u}tz - der Prozess bezeichnet werden, in welchem eine Lehrkraft versucht, das Verhalten einer Sch{\"u}lerin oder eines Sch{\"u}lers zu verstehen, indem sie dieses Verhalten auf ein Erleben zur{\"u}ckf{\"u}hrt, das ihm zugrunde gelegen haben k{\"o}nnte. Als ein wesentliches Merkmal des Prozesses stellt Sch{\"u}tz in seiner Theorie des Fremdverstehens heraus, dass das Fremdverstehen eines Menschen immer auch auf seinen eigenen Erlebnissen basiert. Aus diesem Grund wird in der Arbeit ein methodischer Zweischritt vorgenommen: Es werden zun{\"a}chst die mathematikbezogenen Erlebnisse zweier Lehrkr{\"a}fte nachgezeichnet, bevor dann ihr Fremdverstehen in konkreten Situationen im Mathematikunterricht rekonstruiert wird. In der ersten Teiluntersuchung (= der Rekonstruktion eigener Erlebnisse der untersuchten Lehrkr{\"a}fte) erfolgt die Datenerhebung mit Hilfe biographisch-narrativer Interviews, in denen die untersuchten Lehrkr{\"a}fte angeregt werden, ihre mathematikbezogene Lebensgeschichte zu erz{\"a}hlen. Die Analyse dieser Interviews wird im Sinne der rekonstruktiven Fallanalyse vorgenommen. Insgesamt f{\"u}hrt die erste Teiluntersuchung zu textlichen Darstellungen der rekonstruierten mathematikbezogenen Lebensgeschichte der untersuchten Mathematiklehrkr{\"a}fte. In der zweiten Teiluntersuchung (= der Rekonstruktion des Fremdverstehens der untersuchten Lehrkr{\"a}fte) werden dann narrative Interviews gef{\"u}hrt, in denen die untersuchten Lehrkr{\"a}fte von ihrem Fremdverstehen in konkreten Situationen im Mathematikunterricht erz{\"a}hlen. Die Analyse dieser Interviews erfolgt mit Hilfe eines dreischrittigen Analyseverfahrens, welches die Autorin eigens zum Zweck der Rekonstruktion von Fremdverstehen entwickelte. Am Ende dieser zweiten Teiluntersuchung werden sowohl das rekonstruierte Fremdverstehen der Lehrkr{\"a}fte in verschiedenen Unterrichtssituationen dargestellt als auch Strukturen, die sich in ihrem Fremdverstehen abzeichnen. Mit Hilfe einer theoretischen Verallgemeinerung werden schließlich - auf Basis der Ergebnisse der zweiten Teiluntersuchung - Aussagen {\"u}ber f{\"u}nf Merkmale des Fremdverstehens von Lehrkr{\"a}ften im Mathematikunterricht im Allgemeinen gewonnen. Mit diesen Aussagen vermag die Arbeit eine erste Beschreibung davon hervorzubringen, wie sich das Ph{\"a}nomen des Fremdverstehens von Lehrkr{\"a}ften im Mathematikunterricht ausgestalten kann.},
  language  = {de}
}
@phdthesis{Mahmoudi,
  author    = {Mahmoudi, Mahdi Hedayat},
  title     = {New applications of the edge calculus},
  school      = {Universit{\"a}t Potsdam},
  pages     = {126},
  language  = {en}
}