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Full-Text Articles in Physical Sciences and Mathematics
Stability And Clustering Of Self-Similar Solutions Of Aggregation Equations, Hui Sun, David Uminsky, Andrea L. Bertozzi
Stability And Clustering Of Self-Similar Solutions Of Aggregation Equations, Hui Sun, David Uminsky, Andrea L. Bertozzi
Mathematics
In this paper we consider the linear stability of a family of exact collapsing similarity solutions to the aggregation equation ρ t = ∇ · (ρ∇K * ρ) in Rd , d ⩾ 2, where K(r) = r γ/γ with γ > 2. It was previously observed [Y. Huang and A. L. Bertozzi, “Self-similar blowup solutions to an aggregation equation in Rn,” J. SIAM Appl. Math.70, 2582–2603 (Year: 2010)]10.1137/090774495 that radially symmetric solutions are attracted to a self-similar collapsing shell profile in infinite time for γ > 2. In this paper we compute the stability of the …
The Hubble Space Telescope Cluster Supernova Survey: V. Improving The Dark Energy Constraints Above Z>1 And Building An Early-Type-Hosted Supernova Sample, N Suzuki, D Rubin, C Lidman, G Aldering, R Amanullah, K Barbary, L F. Barrientos, J Botyanszki, M Brodwin, N Connolly, K S. Dawson, A Dey, M Doi, M Donahue, S Deustua, P Eisenhardt, E Ellingson, L Faccioli, V Fadeyev, H K. Fakhouri, A S. Fruchter, D G. Gilbank, M D. Gladders, G Goldhaber, A H. Gonzalez, A Goobar, A Gude, T Hattori, H Hoekstra, E Y. Hsiao, Xiaosheng Huang, Y Ihara, M J. Jee, D Johnston, K Kashikawa, B Koester, K Konishi, M Kowalski, E V. Linder, L Lubin, J Melbourne, J Meyers, T Morokuma, F Munshi, C Mullis, T Oda, N Panagia, S Perlmutter, M Postman, T Pritchard, J Rhodes, P Ripoche, P Rosati, D J. Schlegel, A Spadafora, S A. Stanford, V Stanishev, D Stern, M Strovink, N Takanashi, K Tokita, M Wagner, L Wang, N Yasuda, H. K. C. Yee, Supernova Cosmology Project
The Hubble Space Telescope Cluster Supernova Survey: V. Improving The Dark Energy Constraints Above Z>1 And Building An Early-Type-Hosted Supernova Sample, N Suzuki, D Rubin, C Lidman, G Aldering, R Amanullah, K Barbary, L F. Barrientos, J Botyanszki, M Brodwin, N Connolly, K S. Dawson, A Dey, M Doi, M Donahue, S Deustua, P Eisenhardt, E Ellingson, L Faccioli, V Fadeyev, H K. Fakhouri, A S. Fruchter, D G. Gilbank, M D. Gladders, G Goldhaber, A H. Gonzalez, A Goobar, A Gude, T Hattori, H Hoekstra, E Y. Hsiao, Xiaosheng Huang, Y Ihara, M J. Jee, D Johnston, K Kashikawa, B Koester, K Konishi, M Kowalski, E V. Linder, L Lubin, J Melbourne, J Meyers, T Morokuma, F Munshi, C Mullis, T Oda, N Panagia, S Perlmutter, M Postman, T Pritchard, J Rhodes, P Ripoche, P Rosati, D J. Schlegel, A Spadafora, S A. Stanford, V Stanishev, D Stern, M Strovink, N Takanashi, K Tokita, M Wagner, L Wang, N Yasuda, H. K. C. Yee, Supernova Cosmology Project
Physics and Astronomy
We present Advanced Camera for Surveys, NICMOS, and Keck adaptive-optics-assisted photometry of 20 Type Ia supernovae (SNe Ia) from the Hubble Space Telescope (HST) Cluster Supernova Survey. The SNe Ia were discovered over the redshift interval 0.623 < z < 1.415. of these sne ia, 14 pass our strict selection cuts and are used in combination with the world's sample of sne ia to derive the best current constraints on dark energy. of our new sne ia, 10 are beyond redshift z = 1, thereby nearly doubling the statistical weight of hst-discovered sne ia beyond this redshift. our detailed analysis corrects for the recently identified correlation between sn ia luminosity and host galaxy mass and corrects the nicmos zero point at the count rates appropriate for very …
Rare-Earth-Doped Materials With Application To Optical Signal Processing, Quantum Information Science, And Medical Imaging Technology, R L. Cone, C W. Thiel, Y Sun, Thomas Böttger, R M. Macfarlane
Rare-Earth-Doped Materials With Application To Optical Signal Processing, Quantum Information Science, And Medical Imaging Technology, R L. Cone, C W. Thiel, Y Sun, Thomas Böttger, R M. Macfarlane
Physics and Astronomy
Unique spectroscopic properties of isolated rare earth ions in solids offer optical linewidths rivaling those of trapped single atoms and enable a variety of recent applications. We design rare-earth-doped crystals, ceramics, and fibers with persistent or transient “spectral hole” recording properties for applications including high-bandwidth optical signal processing where light and our solids replace the high-bandwidth portion of the electronics; quantum cryptography and information science including the goal of storage and recall of single photons; and medical imaging technology for the 700-900 nm therapeutic window. Ease of optically manipulating rare-earth ions in solids enables capturing complex spectral information in 105 …