--- _id: '2779' abstract: - lang: eng text: We consider a two-dimensional magnetic Schrödinger operator on a square lattice with a spatially stationary random magnetic field. We prove Anderson localization near the spectral edges. We use a new approach to establish a Wegner estimate that does not rely on the monotonicity of the energy on the random parameters. author: - first_name: László full_name: László Erdös id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: David full_name: Hasler, David G last_name: Hasler citation: ama: Erdös L, Hasler D. Wegner estimate for random magnetic Laplacian on ℤ 2. Annales Henri Poincare. 2012;13(8):1719-1731. doi:10.1007/s00023-012-0177-9 apa: Erdös, L., & Hasler, D. (2012). Wegner estimate for random magnetic Laplacian on ℤ 2. Annales Henri Poincare. Birkhäuser. https://doi.org/10.1007/s00023-012-0177-9 chicago: Erdös, László, and David Hasler. “Wegner Estimate for Random Magnetic Laplacian on ℤ 2.” Annales Henri Poincare. Birkhäuser, 2012. https://doi.org/10.1007/s00023-012-0177-9. ieee: L. Erdös and D. Hasler, “Wegner estimate for random magnetic Laplacian on ℤ 2,” Annales Henri Poincare, vol. 13, no. 8. Birkhäuser, pp. 1719–1731, 2012. ista: Erdös L, Hasler D. 2012. Wegner estimate for random magnetic Laplacian on ℤ 2. Annales Henri Poincare. 13(8), 1719–1731. mla: Erdös, László, and David Hasler. “Wegner Estimate for Random Magnetic Laplacian on ℤ 2.” Annales Henri Poincare, vol. 13, no. 8, Birkhäuser, 2012, pp. 1719–31, doi:10.1007/s00023-012-0177-9. short: L. Erdös, D. Hasler, Annales Henri Poincare 13 (2012) 1719–1731. date_created: 2018-12-11T11:59:33Z date_published: 2012-12-01T00:00:00Z date_updated: 2021-01-12T06:59:38Z day: '01' doi: 10.1007/s00023-012-0177-9 extern: 1 intvolume: ' 13' issue: '8' month: '12' page: 1719 - 1731 publication: Annales Henri Poincare publication_status: published publisher: Birkhäuser publist_id: '4111' quality_controlled: 0 status: public title: Wegner estimate for random magnetic Laplacian on ℤ 2 type: journal_article volume: 13 year: '2012' ... --- _id: '2802' abstract: - lang: eng text: When a binary fluid demixes under a slow temperature ramp, nucleation, coarsening and sedimentation of droplets lead to an oscillatory evolution of the phase-separating system. The advection of the sedimenting droplets is found to be chaotic. The flow is driven by density differences between two phases. Here, we show how image processing can be combined with particle tracking to resolve droplet size and velocity simultaneously. Droplets are used as tracer particles, and the sedimentation velocity is determined. Taking these effects into account, droplets with radii in the range of 4-40 μm are detected and tracked. Based on these data, we resolve the oscillations in the droplet size distribution that are coupled to the convective flow. author: - first_name: Tobias full_name: Lapp, Tobias last_name: Lapp - first_name: Martin full_name: Rohloff, Martin last_name: Rohloff - first_name: Jürgen full_name: Vollmer, Jürgen T last_name: Vollmer - first_name: Björn full_name: Björn Hof id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 citation: ama: Lapp T, Rohloff M, Vollmer J, Hof B. Particle tracking for polydisperse sedimenting droplets in phase separation. Experiments in Fluids. 2012;52(5):1187-1200. doi:10.1007/s00348-011-1243-7 apa: Lapp, T., Rohloff, M., Vollmer, J., & Hof, B. (2012). Particle tracking for polydisperse sedimenting droplets in phase separation. Experiments in Fluids. Springer. https://doi.org/10.1007/s00348-011-1243-7 chicago: Lapp, Tobias, Martin Rohloff, Jürgen Vollmer, and Björn Hof. “Particle Tracking for Polydisperse Sedimenting Droplets in Phase Separation.” Experiments in Fluids. Springer, 2012. https://doi.org/10.1007/s00348-011-1243-7. ieee: T. Lapp, M. Rohloff, J. Vollmer, and B. Hof, “Particle tracking for polydisperse sedimenting droplets in phase separation,” Experiments in Fluids, vol. 52, no. 5. Springer, pp. 1187–1200, 2012. ista: Lapp T, Rohloff M, Vollmer J, Hof B. 2012. Particle tracking for polydisperse sedimenting droplets in phase separation. Experiments in Fluids. 52(5), 1187–1200. mla: Lapp, Tobias, et al. “Particle Tracking for Polydisperse Sedimenting Droplets in Phase Separation.” Experiments in Fluids, vol. 52, no. 5, Springer, 2012, pp. 1187–200, doi:10.1007/s00348-011-1243-7. short: T. Lapp, M. Rohloff, J. Vollmer, B. Hof, Experiments in Fluids 52 (2012) 1187–1200. date_created: 2018-12-11T11:59:40Z date_published: 2012-05-05T00:00:00Z date_updated: 2021-01-12T06:59:49Z day: '05' doi: 10.1007/s00348-011-1243-7 extern: 1 intvolume: ' 52' issue: '5' month: '05' page: 1187 - 1200 publication: Experiments in Fluids publication_status: published publisher: Springer publist_id: '4087' quality_controlled: 0 status: public title: Particle tracking for polydisperse sedimenting droplets in phase separation type: journal_article volume: 52 year: '2012' ... --- _id: '2803' abstract: - lang: eng text: Recent numerical studies suggest that in pipe and related shear flows, the region of phase space separating laminar from turbulent motion is organized by a chaotic attractor, called an edge state, which mediates the transition process. We here confirm the existence of the edge state in laboratory experiments. We observe that it governs the dynamics during the decay of turbulence underlining its potential relevance for turbulence control. In addition we unveil two unstable traveling wave solutions underlying the experimental flow fields. This observation corroborates earlier suggestions that unstable solutions organize turbulence and its stability border. author: - first_name: Alberto full_name: de Lózar, Alberto last_name: De Lózar - first_name: Fernando full_name: Mellibovsky, Fernando last_name: Mellibovsky - first_name: Marc full_name: Avila, Marc last_name: Avila - first_name: Björn full_name: Björn Hof id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 citation: ama: De Lózar A, Mellibovsky F, Avila M, Hof B. Edge state in pipe flow experiments. Physical Review Letters. 2012;108(21). doi:10.1103/PhysRevLett.108.214502 apa: De Lózar, A., Mellibovsky, F., Avila, M., & Hof, B. (2012). Edge state in pipe flow experiments. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.108.214502 chicago: De Lózar, Alberto, Fernando Mellibovsky, Marc Avila, and Björn Hof. “Edge State in Pipe Flow Experiments.” Physical Review Letters. American Physical Society, 2012. https://doi.org/10.1103/PhysRevLett.108.214502. ieee: A. De Lózar, F. Mellibovsky, M. Avila, and B. Hof, “Edge state in pipe flow experiments,” Physical Review Letters, vol. 108, no. 21. American Physical Society, 2012. ista: De Lózar A, Mellibovsky F, Avila M, Hof B. 2012. Edge state in pipe flow experiments. Physical Review Letters. 108(21). mla: De Lózar, Alberto, et al. “Edge State in Pipe Flow Experiments.” Physical Review Letters, vol. 108, no. 21, American Physical Society, 2012, doi:10.1103/PhysRevLett.108.214502. short: A. De Lózar, F. Mellibovsky, M. Avila, B. Hof, Physical Review Letters 108 (2012). date_created: 2018-12-11T11:59:41Z date_published: 2012-05-21T00:00:00Z date_updated: 2021-01-12T06:59:49Z day: '21' doi: 10.1103/PhysRevLett.108.214502 extern: 1 intvolume: ' 108' issue: '21' month: '05' publication: Physical Review Letters publication_status: published publisher: American Physical Society publist_id: '4086' quality_controlled: 0 status: public title: Edge state in pipe flow experiments type: journal_article volume: 108 year: '2012' ... --- _id: '2804' abstract: - lang: eng text: The analysis of the size distribution of droplets condensing on a substrate (breath figures) is a test ground for scaling theories. Here, we show that a faithful description of these distributions must explicitly deal with the growth mechanisms of the droplets. This finding establishes a gateway connecting nucleation and growth of the smallest droplets on surfaces to gross features of the evolution of the droplet size distribution author: - first_name: Johannes full_name: Blaschke, Johannes last_name: Blaschke - first_name: Tobias full_name: Lapp, Tobias last_name: Lapp - first_name: Björn full_name: Björn Hof id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 - first_name: Jürgen full_name: Vollmer, Jürgen T last_name: Vollmer citation: ama: 'Blaschke J, Lapp T, Hof B, Vollmer J. Breath figures: Nucleation, growth, coalescence, and the size distribution of droplets. Physical Review Letters. 2012;109(6). doi:10.1103/PhysRevLett.109.068701' apa: 'Blaschke, J., Lapp, T., Hof, B., & Vollmer, J. (2012). Breath figures: Nucleation, growth, coalescence, and the size distribution of droplets. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.109.068701' chicago: 'Blaschke, Johannes, Tobias Lapp, Björn Hof, and Jürgen Vollmer. “Breath Figures: Nucleation, Growth, Coalescence, and the Size Distribution of Droplets.” Physical Review Letters. American Physical Society, 2012. https://doi.org/10.1103/PhysRevLett.109.068701.' ieee: 'J. Blaschke, T. Lapp, B. Hof, and J. Vollmer, “Breath figures: Nucleation, growth, coalescence, and the size distribution of droplets,” Physical Review Letters, vol. 109, no. 6. American Physical Society, 2012.' ista: 'Blaschke J, Lapp T, Hof B, Vollmer J. 2012. Breath figures: Nucleation, growth, coalescence, and the size distribution of droplets. Physical Review Letters. 109(6).' mla: 'Blaschke, Johannes, et al. “Breath Figures: Nucleation, Growth, Coalescence, and the Size Distribution of Droplets.” Physical Review Letters, vol. 109, no. 6, American Physical Society, 2012, doi:10.1103/PhysRevLett.109.068701.' short: J. Blaschke, T. Lapp, B. Hof, J. Vollmer, Physical Review Letters 109 (2012). date_created: 2018-12-11T11:59:41Z date_published: 2012-08-10T00:00:00Z date_updated: 2021-01-12T06:59:50Z day: '10' doi: 10.1103/PhysRevLett.109.068701 extern: 1 intvolume: ' 109' issue: '6' month: '08' publication: Physical Review Letters publication_status: published publisher: American Physical Society publist_id: '4085' quality_controlled: 0 status: public title: 'Breath figures: Nucleation, growth, coalescence, and the size distribution of droplets' type: journal_article volume: 109 year: '2012' ... --- _id: '2825' abstract: - lang: eng text: 'We study the problem of maximum marginal prediction (MMP) in probabilistic graphical models, a task that occurs, for example, as the Bayes optimal decision rule under a Hamming loss. MMP is typically performed as a two-stage procedure: one estimates each variable''s marginal probability and then forms a prediction from the states of maximal probability. In this work we propose a simple yet effective technique for accelerating MMP when inference is sampling-based: instead of the above two-stage procedure we directly estimate the posterior probability of each decision variable. This allows us to identify the point of time when we are sufficiently certain about any individual decision. Whenever this is the case, we dynamically prune the variables we are confident about from the underlying factor graph. Consequently, at any time only samples of variables whose decision is still uncertain need to be created. Experiments in two prototypical scenarios, multi-label classification and image inpainting, show that adaptive sampling can drastically accelerate MMP without sacrificing prediction accuracy.' author: - first_name: Christoph full_name: Lampert, Christoph id: 40C20FD2-F248-11E8-B48F-1D18A9856A87 last_name: Lampert orcid: 0000-0001-8622-7887 citation: ama: 'Lampert C. Dynamic pruning of factor graphs for maximum marginal prediction. In: Vol 1. Neural Information Processing Systems; 2012:82-90.' apa: 'Lampert, C. (2012). Dynamic pruning of factor graphs for maximum marginal prediction (Vol. 1, pp. 82–90). Presented at the NIPS: Neural Information Processing Systems, Lake Tahoe, NV, United States: Neural Information Processing Systems.' chicago: Lampert, Christoph. “Dynamic Pruning of Factor Graphs for Maximum Marginal Prediction,” 1:82–90. Neural Information Processing Systems, 2012. ieee: 'C. Lampert, “Dynamic pruning of factor graphs for maximum marginal prediction,” presented at the NIPS: Neural Information Processing Systems, Lake Tahoe, NV, United States, 2012, vol. 1, pp. 82–90.' ista: 'Lampert C. 2012. Dynamic pruning of factor graphs for maximum marginal prediction. NIPS: Neural Information Processing Systems vol. 1, 82–90.' mla: Lampert, Christoph. Dynamic Pruning of Factor Graphs for Maximum Marginal Prediction. Vol. 1, Neural Information Processing Systems, 2012, pp. 82–90. short: C. Lampert, in:, Neural Information Processing Systems, 2012, pp. 82–90. conference: end_date: 2012-12-06 location: Lake Tahoe, NV, United States name: 'NIPS: Neural Information Processing Systems' start_date: 2012-12-03 date_created: 2018-12-11T11:59:48Z date_published: 2012-12-01T00:00:00Z date_updated: 2021-01-12T06:59:59Z day: '01' department: - _id: ChLa intvolume: ' 1' language: - iso: eng month: '12' oa_version: None page: 82 - 90 publication_status: published publisher: Neural Information Processing Systems publist_id: '3975' quality_controlled: '1' scopus_import: 1 status: public title: Dynamic pruning of factor graphs for maximum marginal prediction type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 1 year: '2012' ...