@unpublished{Zehmisch2008,
  author    = {Zehmisch, Ren{\´e}},
  title     = {{\"U}ber Waldidentit{\"a}ten der Brownschen Bewegung},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49469},
  year      = {2008},
  abstract  = {Aus dem Inhalt: 1 Abraham Wald (1902-1950) 2 Einf{\"u}hrung der Grundbegriffe. Einige technische bekannte Ergebnisse 2.1 Martingal und Doob-Ungleichung 2.2 Brownsche Bewegung und spezielle Martingale 2.3 Gleichgradige Integrierbarkeit von Prozessen 2.4 Gestopptes Martingal 2.5 Optionaler Stoppsatz von Doob 2.6 Lokales Martingal 2.7 Quadratische Variation 2.8 Die Dichte der ersten einseitigen {\"U}berschreitungszeit der Brown- schen Bewegung 2.9 Waldidentit{\"a}ten f{\"u}r die {\"U}berschreitungszeiten der Brownschen Bewegung 3 Erste Waldidentit{\"a}t 3.1 Burkholder, Gundy und Davis Ungleichungen der gestoppten Brown- schen Bewegung 3.2 Erste Waldidentit{\"a}t f{\"u}r die Brownsche Bewegung 3.3 Verfeinerungen der ersten Waldidentit{\"a}t 3.4 St{\"a}rkere Verfeinerung der ersten Waldidentit{\"a}t f{\"u}r die Brown- schen Bewegung 3.5 Verfeinerung der ersten Waldidentit{\"a}t f{\"u}r spezielle Stoppzeiten der Brownschen Bewegung 3.6 Beispiele f{\"u}r lokale Martingale f{\"u}r die Verfeinerung der ersten Waldidentit{\"a}t 3.7 {\"U}berschreitungszeiten der Brownschen Bewegung f{\"u}r nichtlineare Schranken 4 Zweite Waldidentit{\"a}t 4.1 Zweite Waldidentit{\"a}t f{\"u}r die Brownsche Bewegung 4.2 Anwendungen der ersten und zweitenWaldidentit{\"a}t f{\"u}r die Brown- schen Bewegung 5 Dritte Waldidentit{\"a}t 5.1 Dritte Waldidentit{\"a}t f{\"u}r die Brownsche Bewegung 5.2 Verfeinerung der dritten Waldidentit{\"a}t 5.3 Eine wichtige Voraussetzung f{\"u}r die Verfeinerung der drittenWal- didentit{\"a}t 5.4 Verfeinerung der dritten Waldidentit{\"a}t f{\"u}r spezielle Stoppzeiten der Brownschen Bewegung 6 Waldidentit{\"a}ten im Mehrdimensionalen 6.1 Erste Waldidentit{\"a}t im Mehrdimensionalen 6.2 Zweite Waldidentit{\"a}t im Mehrdimensionalen 6.3 Dritte Waldidentit{\"a}t im Mehrdimensionalen 7 Appendix},
  language  = {de}
}
@unpublished{Tepoyan2008,
  author    = {Tepoyan, Liparit},
  title     = {The mixed problem for a degenerate operator equation},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30334},
  year      = {2008},
  abstract  = {We consider a mixed problem for a degenerate differentialoperator equation of higher order. We establish some embedding theorems in weighted Sobolev spaces and show existence and uniqueness of the generalized solution of this problem. We also give a description of the spectrum for the corresponding operator.},
  language  = {en}
}
@unpublished{SchulzeWei2008,
  author    = {Schulze, Bert-Wolfgang and Wei, Y.},
  title     = {Edge-boundary problems with singular trace conditions},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30317},
  year      = {2008},
  abstract  = {The ellipticity of boundary value problems on a smooth manifold with boundary relies on a two-component principal symbolic structure (σψ; σ∂), consisting of interior and boundary symbols. In the case of a smooth edge on manifolds with boundary we have a third symbolic component, namely the edge symbol σ∧, referring to extra conditions on the edge, analogously as boundary conditions. Apart from such conditions in integral form' there may exist singular trace conditions, investigated in [6] on closed' manifolds with edge. Here we concentrate on the phenomena in combination with boundary conditions and edge problem.},
  language  = {en}
}
@unpublished{Schulze2008,
  author    = {Schulze, Bert-Wolfgang},
  title     = {The iterative structure of corner operators},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30353},
  year      = {2008},
  abstract  = {We give a brief survey on some new developments on elliptic operators on manifolds with polyhedral singularities. The material essentially corresponds to a talk given by the author during the Conference "Elliptic and Hyperbolic Equations on Singular Spaces", October 27 - 31, 2008, at the MSRI, University of Berkeley.},
  language  = {en}
}
@unpublished{Schulze2008,
  author    = {Schulze, Bert-Wolfgang},
  title     = {On a paper of Krupchyk, Tarkhanov, and Tuomela},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30325},
  year      = {2008},
  language  = {en}
}
@unpublished{Rafler2008,
  author    = {Rafler, Mathias},
  title     = {Martin-Dynkin Boundaries of the Bose Gas},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-51667},
  year      = {2008},
  abstract  = {The Ginibre gas is a Poisson point process defined on a space of loops related to the Feynman-Kac representation of the ideal Bose gas. Here we study thermodynamic limits of different ensembles via Martin-Dynkin boundary technique and show, in which way infinitely long loops occur. This effect is the so-called Bose-Einstein condensation.},
  language  = {en}
}
@unpublished{PraLouisMinelli2008,
  author    = {Pra, Paolo Dai and Louis, Pierre-Yves and Minelli, Ida G.},
  title     = {Complete monotone coupling for Markov processes},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-18286},
  year      = {2008},
  abstract  = {We formalize and analyze the notions of monotonicity and complete monotonicity for Markov Chains in continuous-time, taking values in a finite partially ordered set. Similarly to what happens in discrete-time, the two notions are not equivalent. However, we show that there are partially ordered sets for which monotonicity and complete monotonicity coincide in continuoustime but not in discrete-time.},
  language  = {de}
}
@unpublished{Murr2008,
  author    = {Murr, R{\"u}diger},
  title     = {Dualit{\"a}tsformeln f{\"u}r Brownsche Bewegung und f{\"u}r eine Irrfahrt mit Anwendung am Konvergenzergebnis von Donsker},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49476},
  year      = {2008},
  abstract  = {Aus dem Inhalt: 0.1 Danksagung 0.2 Einleitung 1 Allgemeines und Grundlagen 1.1 Die Brownsche Bewegung 2 Die Dualit{\"a}tsformel des Wienermaßes 2.1 Wienermaß erf{\"u}llt Dualit{\"a}tsformel 2.2 Dualit{\"a}tsformel charakterisiert Wienermaß 3 Die diskrete Dualit{\"a}tsformel der Irrfahrt 3.1 Verallgemeinerte symmetrische Irrfahrt erf{\"u}llt diskrete Dualit{\"a}tsformel 3.2 Diskrete Dualit{\"a}tsformel charakterisiert verallgemeinerte symmetrische Irrfahrt 4 Donskers Theorem und die Dualit{\"a}tsformeln 4.1 Straffheit der renormierten stetigen Irrfahrt 4.2 Konvergenz der Irrfahrt 5 Anhang},
  language  = {de}
}
@unpublished{Laeuter2008,
  author    = {L{\"a}uter, Henning},
  title     = {Empirical Minimax Linear Estimates},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49483},
  year      = {2008},
  abstract  = {We give the explicit solution for the minimax linear estimate. For scale dependent models an empirical minimax linear estimates is de¯ned and we prove that these estimates are Stein's estimates.},
  language  = {en}
}
@unpublished{KleinZitt2008,
  author    = {Klein, Markus and Zitt, Pierre-Andr{\´e}},
  title     = {Resonances for a diffusion with small noise},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49448},
  year      = {2008},
  abstract  = {We study resonances for the generator of a diffusion with small noise in R(d) : L = -∈∆ + ∇F * ∇, when the potential F grows slowly at infinity (typically as a square root of the norm). The case when F grows fast is well known, and under suitable conditions one can show that there exists a family of exponentially small eigenvalues, related to the wells of F. We show that, for an F with a slow growth, the spectrum is R+, but we can find a family of resonances whose real parts behave as the eigenvalues of the "quick growth" case, and whose imaginary parts are small.},
  language  = {en}
}
@unpublished{ChenLiLiu2008,
  author    = {Chen, Hua and Li, Jun-Feng and Liu, Wei-An},
  title     = {Behavior of the solution to a chemotaxis model with reproduction term},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30304},
  year      = {2008},
  abstract  = {Contents: 1 Introduction 2 Global existence and blow-up or quenching of the solution 3 Detailed asymptotical behavior of the solution},
  language  = {en}
}
@unpublished{BrauerKarp2008,
  author    = {Brauer, Uwe and Karp, Lavi},
  title     = {Well-posedness of Einstein-Euler systems in asymptotically flat spacetimes},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30347},
  year      = {2008},
  abstract  = {We prove a local in time existence and uniqueness theorem of classical solutions of the coupled Einstein{Euler system, and therefore establish the well posedness of this system. We use the condition that the energy density might vanish or tends to zero at infinity and that the pressure is a certain function of the energy density, conditions which are used to describe simplified stellar models. In order to achieve our goals we are enforced, by the complexity of the problem, to deal with these equations in a new type of weighted Sobolev spaces of fractional order. Beside their construction, we develop tools for PDEs and techniques for hyperbolic and elliptic equations in these spaces. The well posedness is obtained in these spaces.},
  language  = {en}
}
@unpublished{AbedSchulze2008,
  author    = {Abed, Jamil and Schulze, Bert-Wolfgang},
  title     = {Operators with corner-degenerate symbols},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30299},
  year      = {2008},
  abstract  = {We establish elements of a new approch to ellipticity and parametrices within operator algebras on a manifold with higher singularities, only based on some general axiomatic requirements on parameter-dependent operators in suitable scales of spaces. The idea is to model an iterative process with new generations of parameter-dependent operator theories, together with new scales of spaces that satisfy analogous requirements as the original ones, now on a corresponding higher level. The "full" calculus is voluminous; so we content ourselves here with some typical aspects such as symbols in terms of order reducing families, classes of relevant examples, and operators near the conical exit to infinity.},
  language  = {en}
}