133,076 research outputs found
On finite involutive Yang-Baxter groups
No full text[EN] A group G is said to be an involutive Yang¿Baxter group, or simply an IYB-group, if it is isomorphic to the permutation group of an involutive, nondegenerate set-theoretic solution of the Yang-Baxter equation. We give new sufficient conditions for a group that can be factorised as a product of two IYB-groups to be an IYB-group. Some earlier results are direct consequences of our main theorem.The research of this paper was supported by the grant PGC2018-095140-B-I00 from the Ministerio de Ciencia, Innovacion y Universidades and the Agencia Estatal de Investigacion, Spain, and FEDER, European Union, and by the grant PROMETEO/2017/057 from the Generalitat, Valencian Community, Spain.
The first author was supported by the predoctoral grant 201606890006 from the China Scholarship Council.
The fourth author was supported by a predoctoral grant from the "Atraccio del talent" Programme from the Universitat de Valencia.Meng, H.; Ballester-Bolinches, A.; Esteban Romero, R.; Fuster-Corral, N. (2021). On finite involutive Yang-Baxter groups. Proceedings of the American Mathematical Society. 149(2):793-804. https://doi.org/10.1090/proc/15283S793804149
Convergence of Markov processes near saddle fixed points.
No full textWe consider sequences (XtN)t≥0 of Markov processes in two dimensions whose fluid limit is a stable solution of an ordinary differential equation of the form ẋt=b(xt), where for some λ, μ>0 and τ(x)=O(|x|2). Here the processes are indexed so that the variance of the fluctuations of XtN is inversely proportional to N. The simplest example arises from the OK Corral gunfight model which was formulated by Williams and McIlroy [Bull. London Math. Soc. 30 (1998) 166–170] and studied by Kingman [Bull. London Math. Soc. 31 (1999) 601–606]. These processes exhibit their most interesting behavior at times of order logN so it is necessary to establish a fluid limit that is valid for large times. We find that this limit is inherently random and obtain its distribution. Using this, it is possible to derive scaling limits for the points where these processes hit straight lines through the origin, and the minimum distance from the origin that they can attain. The power of N that gives the appropriate scaling is surprising. For example if T is the time that XtN first hits one of the lines y=x or y=−x, then Nμ/{(2(λ+μ))}|XTN| ⇒ |Z|μ/{(λ+μ)}, for some zero mean Gaussian random variable Z
[log structure and corral]
No full textPhoto of a log cabin and corral in the Uinta Basin of Utah, early 20th century
[log cabin and corral]
No full textPhoto of a log cabin and corral in the Uinta Basin of Utah, early 20th century
Corral
No full textThe Corral literary journal of Simmons College includes editorials and notes regarding societies and happenings within the school as well as original creative fiction, poetry, and jokes
Corral
No full textThe Corral literary journal of Simmons College includes editorials and notes regarding societies and happenings within the school as well as original creative fiction, poetry, and jokes
Corral
No full textThe Corral literary journal of Simmons College includes editorials and notes regarding societies and happenings within the school as well as original creative fiction, poetry, and jokes
Corral
No full textThe Corral literary journal of Simmons College includes editorials and notes regarding societies and happenings within the school as well as original creative fiction, poetry, and jokes
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