Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Alexander, Tristram J."'
Autor:
Hoang, Van Thuy, Widjaja, Justin, Qiang, Y. Long, Liu, Maxwell, Alexander, Tristram J., Runge, Antoine F. J., de Sterke, C. Martijn
The idea of fractional derivatives has a long history that dates back centuries. Apart from their intriguing mathematical properties, fractional derivatives have been studied widely in physics, for example in quantum mechanics and generally in system
Externí odkaz:
http://arxiv.org/abs/2410.23671
Large complex networks are often organized into groups or communities. In this paper, we introduce and investigate a generative model of network evolution that reproduces all four pairwise community types that exist in directed networks: assortative,
Externí odkaz:
http://arxiv.org/abs/2405.14168
Large language models have seen extraordinary growth in popularity due to their human-like content generation capabilities. We show that these models can also be used to successfully cluster human-generated content, with success defined through the m
Externí odkaz:
http://arxiv.org/abs/2405.07278
Although most soliton research has traditionally considered dominant quadratic dispersion, the recent discovery of pure-quartic solitons has inspired analysis of soliton solutions with large higher orders of dispersion. Here we present analytic expre
Externí odkaz:
http://arxiv.org/abs/2204.10433
Autor:
Alexander, Tristram J., Tsolias, G. A., Demirkaya, A., Decker, Robert J., de Sterke, C. Martijn, Kevrekidis, P. G.
We show theoretically that dark solitons can exist in the presence of pure quartic dispersion, and also in the presence of both quadratic and quartic dispersive effects, displaying a much greater variety of possible solutions and dynamics than for pu
Externí odkaz:
http://arxiv.org/abs/2111.15274
Autor:
Rafat, M. Z., Dullin, Holger R., Kuhlmey, Boris T., Tuniz, Alessandro, Luo, Haoyuan, Roy, Dibyendu, Skinner, Sean, Alexander, Tristram J., Wheatland, Michael S., de Sterke, C. Martijn
We consider the motion of a light sail that is accelerated by a powerful laser beam. We derive the equations of motion for two proof-of-concept sail designs with damped internal degrees of freedom. Using linear stability analysis we show that perturb
Externí odkaz:
http://arxiv.org/abs/2106.10961
Autor:
Runge, Antoine F. J., Qiang, Y. Long, Alexander, Tristram J., Hudson, Darren D., Blanco-Redondo, Andrea, de Sterke, C. Martijn
Temporal solitons are optical pulses that arise from the balance of negative group-velocity dispersion and self-phase modulation. For decades only quadratic dispersion was considered, with higher order dispersion thought of as a nuisance. Following t
Externí odkaz:
http://arxiv.org/abs/2009.07424
Autor:
Lourdesamy, Joshua P., Runge, Antoine F. J., Alexander, Tristram J., Hudson, Darren D., Blanco-Redondo, Andrea, de Sterke, C. Martijn
Soliton molecules, bound states composed of interacting fundamental solitons, exhibit remarkable resemblance with chemical compounds and phenomena in quantum mechanics. Whereas optical molecules composed of two or more temporally locked solitons have
Externí odkaz:
http://arxiv.org/abs/2007.01351
Publikováno v:
Chaos 30, 063112 (2020); Codes available at: https://github.com/edugalt/TwitterHashtags
In this paper we quantify the statistical properties and dynamics of the frequency of hashtag use on Twitter. Hashtags are special words used in social media to attract attention and to organize content. Looking at the collection of all hashtags used
Externí odkaz:
http://arxiv.org/abs/2004.12707
Autor:
Bednarek, Monika, Ross, Andrew S., Boichak, Olga, Doran, Y.J., Carr, Georgia, Altmann, Eduardo G., Alexander, Tristram J.
Publikováno v:
In Discourse, Context & Media March 2022 45
