Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Charles Radin"'
Publikováno v:
Probability Theory and Related Fields.
The analysis of large simple graphs with extreme values of the densities of edges and triangles has been extended to the statistical structure of typical graphs of fixed intermediate densities, by the use of large deviations of Erdoes-Renyi graphs. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86a35790289b3631501e47f4bf0562ac
https://doi.org/10.1007/s00440-023-01187-8
https://doi.org/10.1007/s00440-023-01187-8
Publikováno v:
Journal of Statistical Physics. 181:305-328
We analyze ensembles of random networks with fixed numbers of edges, triangles, and nodes. In the limit as the number of nodes goes to infinity, this model is known to exhibit sharp phase transitions as the density of edges and triangles is varied. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96d41587695d0d36ab26dd743fd17cec
https://doi.org/10.1007/s10955-020-02582-4
https://doi.org/10.1007/s10955-020-02582-4
We prove moderate deviations bounds for the lower tail of the number of odd cycles in a $\calG(n, m)$ random graph. We show that the probability of decreasing triangle density by $t^3$, is $\exp(-\Theta(n^2 t^2))$ whenever $n^{-3/4} \ll t^3 \ll 1$, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b935b0b6fe39545cea90b8e0da370cf
Publikováno v:
Physical Review Letters. 125
Many experiments over the past half century have shown that, for a range of protocols, granular materials compact under pressure and repeated small disturbances. A recent experiment on cyclically sheared spherical grains showed significant compaction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18f16b15e03db9618e1bbe19003b010f
https://doi.org/10.1103/physrevlett.125.258003
https://doi.org/10.1103/physrevlett.125.258003
Autor:
Charles Radin
This is a brief introduction to the geometric aspects of aperiodic tiling and the collaboration of John Conway and the author in the decade 1990-2000.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5cd12ec0304cddf34fe089e3b05ef53
http://arxiv.org/abs/2008.09085
http://arxiv.org/abs/2008.09085
Autor:
Charles Radin
Publikováno v:
Notices of the American Mathematical Society. 64:551-556
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a3660cacb8ce6658dfb73fe6c92d497
https://doi.org/10.1090/noti1534
https://doi.org/10.1090/noti1534
Autor:
Harry L. Swinney, Charles Radin
An understanding of homogeneous nucleation of crystalline structure from a disordered medium such as a liquid remains an important unsolved problem in condensed matter physics. Guided by the results from a number of experiments on granular and colloi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1e56063164618f2cfe6061cbd510d9e
http://arxiv.org/abs/1807.01797
http://arxiv.org/abs/1807.01797
Articles in this volume are based on lectures presented at the Park City summer school on “Mathematics and Materials” in July 2014. The central theme is a description of material behavior that is rooted in statistical mechanics. While many presen
Publikováno v:
Physical review letters. 120(5)
We present an experiment on crystallization of packings of macroscopic granular spheres. This system is often considered to be a model for thermally driven atomic or colloidal systems. Cyclically shearing a packing of frictional spheres, we observe a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de1f33b2f721bc0b65e9a1234ca70a30
https://pubmed.ncbi.nlm.nih.gov/29481202
https://pubmed.ncbi.nlm.nih.gov/29481202
Based on numerical simulation and local stability analysis we describe the structure of the phase space of the edge/triangle model of random graphs. We support simulation evidence with mathematical proof of continuity and discontinuity for many of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::507a955a41185a6cc4deedd486558b5f
http://arxiv.org/abs/1701.04444
http://arxiv.org/abs/1701.04444