@article{UBHD-68260830, author={Großkinsky, Stefan and Klingenberg, Christian and Oelschl{\"a}ger, Karl}, title={A rigorous derivation of Smoluchowski's equation in the moderate limit}, year={2006}, pages={113-141}, language={eng}, issn={1532-9356}, volume={22}, number={1}, note={Published online: 16 Aug 2006 ; Gesehen am 13.06.2018}, journal={Stochastic analysis and applications}, doi={10.1081/SAP-120028026}, } @article{UBHD-68260813, author={Morale, Daniela and Capasso, Vincenzo and Oelschl{\"a}ger, Karl}, title={An interacting particle system modelling aggregation behavior}, subtitle={from individuals to populations}, year={2005}, pages={49-66}, language={eng}, issn={1432-1416}, volume={50}, number={1}, note={First online: 05 July 2004 ; Gesehen am 13.06.2018}, journal={Journal of mathematical biology}, doi={10.1007/s00285-004-0279-1}, } @book{UBHD-68260778, author={Morale, Daniela and Capasso, Vincenzo and Oelschl{\"a}ger, Karl}, title={On the derivation of the mean field nonlinear integro-differential equation for a population of aggregating individuals subject to stochastic fluctuations}, publisher={IWR, SFB 359}, address={Heidelberg}, year={1998}, pages={11 S.}, language={eng}, number={ARRAY(0x56009d63caf0)}, series={Preprint / Interdisziplin{\"a}res Zentrum f{\"u}r Wissenschaftliches Rechnen, IWR}, } @book{UBHD-68260777, author={Morale, Daniela and Capasso, Vincenzo and Oelschl{\"a}ger, Karl}, title={A rigorous derivation of a nonlinear integro-differential equation from a system of stochastic differential equations for an aggregation model}, publisher={IWR, SFB 359}, address={Heidelberg}, year={1998}, pages={17 S.}, language={eng}, number={ARRAY(0x56009d6363a8)}, series={Preprint / Interdisziplin{\"a}res Zentrum f{\"u}r Wissenschaftliches Rechnen, IWR}, } @article{UBHD-68259173, author={Oelschl{\"a}ger, Karl}, title={The description of many-particle systems by the equations for a viscous, compressible, barotropic fluid}, year={2002}, pages={887-922}, language={eng}, issn={1793-6314}, volume={5}, number={7}, note={Online publication date: 1-Jan-2002 ; Gesehen am 08.06.2018}, journal={Mathematical models and methods in applied sciences (M 3 AS)}, doi={10.1142/S0218202595000486}, } @book{UBHD-68259097, author={Oelschl{\"a}ger, Karl}, title={The description of many particle systems by the equations for a viscous, compressible, barotropic fluid}, publisher={IWR}, address={Heidelberg}, year={1995}, pages={30 S.}, language={eng}, number={ARRAY(0x56009d6432c0)}, series={Preprint / Interdisziplin{\"a}res Zentrum f{\"u}r Wissenschaftliches Rechnen, IWR}, } @article{UBHD-68260849, author={Oelschl{\"a}ger, Karl}, title={A fluctuation theorem for moderately interacting diffusion processes}, year={1987}, pages={591-616}, language={eng}, issn={0178-8051}, volume={74}, number={4}, journal={Probability theory and related fields}, } @article{UBHD-68260857, author={Oelschl{\"a}ger, Karl}, title={A fluctuation theorem for moderately interacting diffusion processes}, year={1987}, pages={591-616}, language={eng}, issn={1432-2064}, volume={74}, number={4}, note={Gesehen am 13.06.2018}, journal={Probability theory and related fields}, doi={10.1007/BF00363518}, } @book{UBHD-2510005, author={Oelschl{\"a}ger, Karl}, title={Grenzwerts{\"a}tze f{\"u}r zwei Modelle von zuf{\"a}lligen Zeitentwicklungen f{\"u}r Systeme schwach miteinander wechselwirkender Teilchen}, address={Heidelberg}, year={1982}, pages={139 S.}, language={ger}, school={Heidelberg, Univ., Diss., 1982}, library={UB [Signatur: 84 U 5] ; UB [Signatur: 84 U 5] ; MA [Signatur: Diss. Oelsc]}, } @book{UBHD-68259095, author={Oelschl{\"a}ger, Karl}, title={Homogenization of a diffusion process in a divergence-free random field}, publisher={Univ., Sonderforschungsbereich 123}, address={Heidelberg}, year={1986}, pages={44 S.}, language={eng}, number={ARRAY(0x56009d667bd0)}, series={Preprint / Sonderforschungsbereich <123> Stochastische Mathematische Modelle, Universit{\"a}t Heidelberg}, } @article{UBHD-68259167, author={Oelschl{\"a}ger, Karl}, title={Homogenization of a diffusion process in a divergence-free random field}, year={1988}, pages={1084-1126}, language={eng}, issn={2168-894X}, volume={16}, number={3}, note={Gesehen am 08.06.2018}, journal={The annals of probability}, doi={10.1214/aop/1176991679}, } @article{UBHD-68259172, author={Oelschl{\"a}ger, Karl}, title={An integro-differential equation modelling a Newtonian dynamics and its scaling limit}, year={1997}, pages={99-134}, language={eng}, issn={1432-0673}, volume={137}, number={2}, note={Gesehen am 08.06.2018}, journal={Archive for rational mechanics and analysis}, doi={10.1007/s002050050024}, } @article{UBHD-68260843, author={Oelschl{\"a}ger, Karl}, title={Large systems of interacting particles and the porous medium equation}, year={2004}, pages={294-346}, language={eng}, issn={1090-2732}, volume={88}, number={2}, note={Available online 30 June 2004 ; Gesehen am 13.06.2018}, journal={Journal of differential equations}, doi={10.1016/0022-0396(90)90101-T}, } @article{UBHD-68260851, author={Oelschl{\"a}ger, Karl}, title={A law of large numbers for moderately interacting diffusion processes}, year={1985}, pages={279-322}, language={eng}, issn={1432-2064}, volume={69}, number={2}, note={Gesehen am 13.06.2018}, journal={Probability theory and related fields}, doi={10.1007/BF02450284}, } @incollection{UBHD-68260840, author={Oelschl{\"a}ger, Karl}, title={A limit theorem for a one-dimensional many-particle system with gradient interaction}, year={1990}, pages={141-149}, language={eng}, booktitle={Stochastic modelling in biology}, editor={Tăutu, Petre}, } @article{UBHD-68259168, author={Oelschl{\"a}ger, Karl}, title={Limit theorems for age-structured populations}, year={1990}, pages={290-318}, language={eng}, issn={2168-894X}, volume={18}, number={1}, note={Gesehen am 08.06.2018}, journal={The annals of probability}, doi={10.1214/aop/1176990950}, } @book{UBHD-2575218, author={Oelschl{\"a}ger, Karl}, title={Many-particle systems and the continuum description of their dynamics}, year={1989}, pages={302 S.}, language={eng}, school={Heidelberg, Univ., Habil.-Schr., 1989}, library={UB [Signatur: 92 U 793] ; MA [Signatur: Hab. Oelsc]}, } @article{UBHD-68259166, author={Oelschl{\"a}ger, Karl}, title={A Martingale approach to the law of large numbers for weakly interacting stochastic processes}, year={2007}, pages={458-479}, language={eng}, issn={2168-894X}, volume={12}, number={2}, note={First available in Project Euclid: 19 April 2007 ; Gesehen am 08.06.2018}, journal={The annals of probability}, doi={10.1214/aop/1176993301}, } @book{UBHD-68259096, author={Oelschl{\"a}ger, Karl}, organization={Sonderforschungsbereich Stochastische Mathematische Modelle (Heidelberg) and Deutsche Forschungsgemeinschaft}, title={On the connection between Hamiltonian many-particle systems and the hydrodynamical equations}, publisher={Sonderforschungsbereich, Univ.}, address={Heidelberg}, year={1990}, pages={10 S.}, language={eng}, number={ARRAY(0x56009d656ab0)}, series={Preprint / Sonderforschungsbereich <123> Stochastische Mathematische Modelle, Universit{\"a}t Heidelberg}, } @article{UBHD-68259170, author={Oelschl{\"a}ger, Karl}, title={On the connection between Hamiltonian many-particle systems and the hydrodynamical equations}, year={1991}, pages={297-310}, language={eng}, issn={1432-0673}, volume={115}, number={4}, note={Gesehen am 08.06.2018}, journal={Archive for rational mechanics and analysis}, doi={10.1007/BF00375277}, } @article{UBHD-68260846, author={Oelschl{\"a}ger, Karl}, title={On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes}, year={1989}, pages={565-586}, language={eng}, issn={0178-8051}, volume={82}, number={4}, journal={Probability theory and related fields}, } @article{UBHD-68260858, author={Oelschl{\"a}ger, Karl}, title={On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes}, year={1989}, pages={565-586}, language={eng}, issn={1432-2064}, volume={82}, number={4}, note={Gesehen am 13.06.2018}, journal={Probability theory and related fields}, doi={10.1007/BF00341284}, } @book{UBHD-68260775, author={Oelschl{\"a}ger, Karl}, title={Regularity properties of weakly interacting diffusion processes}, publisher={IWR}, address={Heidelberg}, year={1994}, pages={12 S.}, language={ger}, number={ARRAY(0x56009d655c28)}, series={Preprint / Interdisziplin{\"a}res Zentrum f{\"u}r Wissenschaftliches Rechnen, IWR}, } @book{UBHD-68260774, author={Oelschl{\"a}ger, Karl}, title={A scaling limit for an integro-differential equation modelling a Newtonian dynamics}, publisher={IWR}, address={Heidelberg}, year={1993}, pages={39 S}, language={eng and ger}, number={ARRAY(0x56009d621428)}, series={Preprint / Interdisziplin{\"a}res Zentrum f{\"u}r Wissenschaftliches Rechnen, IWR}, } @article{UBHD-68260832, author={Oelschl{\"a}ger, Karl}, title={A sequence of integro-differential equations approximating a viscous porous medium equation}, year={2001}, pages={55-91}, language={eng}, issn={1661-4534}, volume={20}, number={1}, note={Published online: 2001-03-31 ; Gesehen am 13.06.2018}, journal={Zeitschrift f{\"u}r Analysis und ihre Anwendungen}, doi={10.4171/ZAA/1004}, } @article{UBHD-68260831, author={Oelschl{\"a}ger, Karl}, title={Simulation of the solution of a viscous porous medium equation by a particle method}, year={2006}, pages={1716-1762}, language={eng}, issn={1095-7170}, volume={40}, number={5}, note={Published online: 26 July 2006 ; Gesehen am 13.06.2018}, journal={SIAM journal on numerical analysis}, doi={10.1137/S0036142900363377}, } @book{UBHD-68260773, author={Oelschl{\"a}ger, Karl}, organization={Sonderforschungsbereich Stochastische Mathematische Modelle (Heidelberg) and Deutsche Forschungsgemeinschaft}, title={The spread of a parasitic infection in a spatially distributed host population}, publisher={Sonderforschungsbereich, Univ.}, address={Heidelberg}, year={1991}, pages={25 S.}, language={eng}, number={ARRAY(0x56009d621440)}, series={Preprint / Sonderforschungsbereich <123> Stochastische Mathematische Modelle, Universit{\"a}t Heidelberg}, } @article{UBHD-68260815, author={Oelschl{\"a}ger, Karl}, title={The spread of a parasitic infection in a spatially distributed host population}, year={1992}, pages={321-354}, language={eng}, issn={1432-1416}, volume={30}, number={4}, note={Gesehen am 13.06.2018}, journal={Journal of mathematical biology}, doi={10.1007/BF00173291}, } @incollection{UBHD-68259880, author={Starke, Jens and Reichert, Christian and Oelschl{\"a}ger, Karl}, title={Stochastic modeling and deterministic limit of catalytic surface process}, year={2007}, pages={340-370}, language={eng}, isbn={978-3-540-28396-6}, booktitle={Reactive flows, diffusion and transport}, doi={10.1007/978-3-540-28396-6_13}, }