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Hilgert, Mathematik - Ein Reiseführer, Springer Spektrum, 2012.","mla":"Hilgert, Joachim, and Ingrid Hilgert. <i>Mathematik - Ein Reiseführer</i>. Springer Spektrum, 2012.","apa":"Hilgert, J., &#38; Hilgert, I. (2012). <i>Mathematik - Ein Reiseführer</i>. Springer Spektrum.","ieee":"J. Hilgert and I. Hilgert, <i>Mathematik - Ein Reiseführer</i>. Springer Spektrum, 2012.","chicago":"Hilgert, Joachim, and Ingrid Hilgert. <i>Mathematik - Ein Reiseführer</i>. Springer Spektrum, 2012.","ama":"Hilgert J, Hilgert I. <i>Mathematik - Ein Reiseführer</i>. Springer Spektrum; 2012."},"year":"2012","author":[{"first_name":"Joachim","id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert"},{"last_name":"Hilgert","full_name":"Hilgert, Ingrid","first_name":"Ingrid"}],"date_created":"2024-02-19T10:20:18Z","date_updated":"2024-08-08T07:50:08Z","publisher":"Springer Spektrum","main_file_link":[{"url":"https://link.springer.com/book/10.1007/978-3-8274-2932-2"}],"title":"Mathematik - Ein Reiseführer","type":"book","status":"public","department":[{"_id":"91"}],"user_id":"220","_id":"51492","language":[{"iso":"ger"}]},{"volume":40,"author":[{"first_name":"Martin","last_name":"Kolb","full_name":"Kolb, Martin","id":"48880"},{"first_name":"David","last_name":"Steinsaltz","full_name":"Steinsaltz, David"}],"date_created":"2023-01-19T06:55:03Z","publisher":"Institute of Mathematical Statistics","date_updated":"2023-01-19T06:55:09Z","doi":"https://doi.org/10.1214/10-AOP623","title":"Quasilimiting behavior for one-dimensional diffusions with killing","issue":"1","publication_status":"published","page":"162-212","intvolume":"        40","citation":{"ieee":"M. Kolb and D. Steinsaltz, “Quasilimiting behavior for one-dimensional diffusions with killing,” <i>Annals of Probability</i>, vol. 40, no. 1, pp. 162–212, 2012, doi: <a href=\"https://doi.org/10.1214/10-AOP623\">https://doi.org/10.1214/10-AOP623</a>.","chicago":"Kolb, Martin, and David Steinsaltz. “Quasilimiting Behavior for One-Dimensional Diffusions with Killing.” <i>Annals of Probability</i> 40, no. 1 (2012): 162–212. <a href=\"https://doi.org/10.1214/10-AOP623\">https://doi.org/10.1214/10-AOP623</a>.","ama":"Kolb M, Steinsaltz D. Quasilimiting behavior for one-dimensional diffusions with killing. <i>Annals of Probability</i>. 2012;40(1):162-212. doi:<a href=\"https://doi.org/10.1214/10-AOP623\">https://doi.org/10.1214/10-AOP623</a>","apa":"Kolb, M., &#38; Steinsaltz, D. (2012). Quasilimiting behavior for one-dimensional diffusions with killing. <i>Annals of Probability</i>, <i>40</i>(1), 162–212. <a href=\"https://doi.org/10.1214/10-AOP623\">https://doi.org/10.1214/10-AOP623</a>","mla":"Kolb, Martin, and David Steinsaltz. “Quasilimiting Behavior for One-Dimensional Diffusions with Killing.” <i>Annals of Probability</i>, vol. 40, no. 1, Institute of Mathematical Statistics, 2012, pp. 162–212, doi:<a href=\"https://doi.org/10.1214/10-AOP623\">https://doi.org/10.1214/10-AOP623</a>.","bibtex":"@article{Kolb_Steinsaltz_2012, title={Quasilimiting behavior for one-dimensional diffusions with killing}, volume={40}, DOI={<a href=\"https://doi.org/10.1214/10-AOP623\">https://doi.org/10.1214/10-AOP623</a>}, number={1}, journal={Annals of Probability}, publisher={Institute of Mathematical Statistics}, author={Kolb, Martin and Steinsaltz, David}, year={2012}, pages={162–212} }","short":"M. Kolb, D. Steinsaltz, Annals of Probability 40 (2012) 162–212."},"year":"2012","department":[{"_id":"96"}],"user_id":"85821","_id":"37503","language":[{"iso":"eng"}],"publication":"Annals of Probability","type":"journal_article","status":"public","abstract":[{"lang":"eng","text":"This paper extends and clarifies results of Steinsaltz and Evans [Trans. Amer. Math. Soc. 359 (2007) 1285–1234], which found conditions for convergence of a killed one-dimensional diffusion conditioned on survival, to a quasistationary distribution whose density is given by the principal eigenfunction of the generator. Under the assumption that the limit of the killing at infinity differs from the principal eigenvalue we prove that convergence to quasistationarity occurs if and only if the principal eigenfunction is integrable. When the killing at ∞ is larger than the principal eigenvalue, then the eigenfunction is always integrable. When the killing at ∞ is smaller, the eigenfunction is integrable only when the unkilled process is recurrent; otherwise, the process conditioned on survival converges to 0 density on any bounded interval. "}]},{"issue":"03","year":"2012","date_created":"2022-12-22T10:55:47Z","publisher":"World Scientific Pub Co Pte Lt","title":"The Distribution of Number Fields with Wreath Products as Galois Groups ","publication":"International Journal of Number Theory","abstract":[{"text":"Let G be a wreath product of the form C₂ ≀ H, where C₂ is the cyclic group of order 2. Under mild conditions for H we determine the asymptotic behavior of the counting functions for number fields K/k with Galois group G and bounded discriminant. Those counting functions grow linearly with the norm of the discriminant and this result coincides with a conjecture of Malle. Up to a constant factor these groups have the same asymptotic behavior as the conjectured one for symmetric groups. ","lang":"eng"}],"external_id":{"arxiv":["1108.5597 "]},"language":[{"iso":"eng"}],"publication_identifier":{"issn":["1793-0421","1793-7310"]},"publication_status":"published","intvolume":"         8","page":"845-858","citation":{"apa":"Klüners, J. (2012). The Distribution of Number Fields with Wreath Products as Galois Groups . <i>International Journal of Number Theory</i>, <i>08</i>(03), 845–858. <a href=\"https://doi.org/10.1142/s1793042112500492\">https://doi.org/10.1142/s1793042112500492</a>","short":"J. Klüners, International Journal of Number Theory 08 (2012) 845–858.","bibtex":"@article{Klüners_2012, title={The Distribution of Number Fields with Wreath Products as Galois Groups }, volume={08}, DOI={<a href=\"https://doi.org/10.1142/s1793042112500492\">10.1142/s1793042112500492</a>}, number={03}, journal={International Journal of Number Theory}, publisher={World Scientific Pub Co Pte Lt}, author={Klüners, Jürgen}, year={2012}, pages={845–858} }","mla":"Klüners, Jürgen. “The Distribution of Number Fields with Wreath Products as Galois Groups .” <i>International Journal of Number Theory</i>, vol. 08, no. 03, World Scientific Pub Co Pte Lt, 2012, pp. 845–58, doi:<a href=\"https://doi.org/10.1142/s1793042112500492\">10.1142/s1793042112500492</a>.","ieee":"J. Klüners, “The Distribution of Number Fields with Wreath Products as Galois Groups ,” <i>International Journal of Number Theory</i>, vol. 08, no. 03, pp. 845–858, 2012, doi: <a href=\"https://doi.org/10.1142/s1793042112500492\">10.1142/s1793042112500492</a>.","chicago":"Klüners, Jürgen. “The Distribution of Number Fields with Wreath Products as Galois Groups .” <i>International Journal of Number Theory</i> 08, no. 03 (2012): 845–58. <a href=\"https://doi.org/10.1142/s1793042112500492\">https://doi.org/10.1142/s1793042112500492</a>.","ama":"Klüners J. The Distribution of Number Fields with Wreath Products as Galois Groups . <i>International Journal of Number Theory</i>. 2012;08(03):845-858. doi:<a href=\"https://doi.org/10.1142/s1793042112500492\">10.1142/s1793042112500492</a>"},"volume":"08","author":[{"first_name":"Jürgen","full_name":"Klüners, Jürgen","id":"21202","last_name":"Klüners"}],"date_updated":"2023-03-02T14:10:38Z","doi":"10.1142/s1793042112500492","type":"journal_article","status":"public","department":[{"_id":"102"}],"user_id":"21202","_id":"34847"},{"citation":{"ama":"Kirschmer M. A normal form for definite quadratic forms over $\\mathbb{F}_{q}[t]$. <i>Mathematics of Computation</i>. 2012;81(279):1619-1634. doi:<a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">10.1090/s0025-5718-2011-02570-6</a>","chicago":"Kirschmer, Markus. “A Normal Form for Definite Quadratic Forms over $\\mathbb{F}_{q}[t]$.” <i>Mathematics of Computation</i> 81, no. 279 (2012): 1619–34. <a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">https://doi.org/10.1090/s0025-5718-2011-02570-6</a>.","ieee":"M. Kirschmer, “A normal form for definite quadratic forms over $\\mathbb{F}_{q}[t]$,” <i>Mathematics of Computation</i>, vol. 81, no. 279, pp. 1619–1634, 2012, doi: <a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">10.1090/s0025-5718-2011-02570-6</a>.","short":"M. Kirschmer, Mathematics of Computation 81 (2012) 1619–1634.","mla":"Kirschmer, Markus. “A Normal Form for Definite Quadratic Forms over $\\mathbb{F}_{q}[t]$.” <i>Mathematics of Computation</i>, vol. 81, no. 279, American Mathematical Society (AMS), 2012, pp. 1619–34, doi:<a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">10.1090/s0025-5718-2011-02570-6</a>.","bibtex":"@article{Kirschmer_2012, title={A normal form for definite quadratic forms over $\\mathbb{F}_{q}[t]$}, volume={81}, DOI={<a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">10.1090/s0025-5718-2011-02570-6</a>}, number={279}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Kirschmer, Markus}, year={2012}, pages={1619–1634} }","apa":"Kirschmer, M. (2012). A normal form for definite quadratic forms over $\\mathbb{F}_{q}[t]$. <i>Mathematics of Computation</i>, <i>81</i>(279), 1619–1634. <a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">https://doi.org/10.1090/s0025-5718-2011-02570-6</a>"},"intvolume":"        81","page":"1619-1634","year":"2012","issue":"279","publication_status":"published","publication_identifier":{"issn":["0025-5718","1088-6842"]},"doi":"10.1090/s0025-5718-2011-02570-6","title":"A normal form for definite quadratic forms over $\\mathbb{F}_{q}[t]$","date_created":"2023-03-07T08:35:56Z","author":[{"first_name":"Markus","id":"82258","full_name":"Kirschmer, Markus","last_name":"Kirschmer"}],"volume":81,"publisher":"American Mathematical Society (AMS)","date_updated":"2023-04-04T09:22:22Z","status":"public","abstract":[{"text":"An efficient algorithm to compute automorphism groups and isometries of definite Fq[t]-lattices for odd q is presented. The algorithm requires several square root computations in Fq₂ but no enumeration of orbits having more than eight elements. ","lang":"eng"}],"type":"journal_article","publication":"Mathematics of Computation","language":[{"iso":"eng"}],"extern":"1","keyword":["Applied Mathematics","Computational Mathematics","Algebra and Number Theory"],"user_id":"93826","department":[{"_id":"102"}],"_id":"42797"}]
