Zobrazeno 1 - 10
of 247
pro vyhledávání: '"Radin, Charles"'
Autor:
Radin, Charles, Sadun, Lorenzo
In the edge-2star model with hard constraints we prove the existence of an open set of constraint parameters, bisected by a line segment on which there are nonunique entropy-optimal graphons related by a symmetry. At each point in the open set but of
Externí odkaz:
http://arxiv.org/abs/2305.00333
In the edge-triangle model with edge density close to 1/2 and triangle density below 1/8 we prove that the unique entropy-maximizing graphon is symmetric bipodal. We also prove that,for any edge density $e$ less than $e_0 = (3-\sqrt{3})/6 \approx 0.2
Externí odkaz:
http://arxiv.org/abs/2211.10498
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:
http://arxiv.org/abs/2110.14052
Autor:
Radin, Charles
The notion of random close packings of a bulk static collection of ball bearings or sand grains was introduced in the 1960's by G.D. Scott and J.D. Bernal. There have been numerous attempts to understand the packings. We give a short argument, based
Externí odkaz:
http://arxiv.org/abs/2105.09982
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:
http://arxiv.org/abs/2101.08249
Autor:
Radin, Charles
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.
Externí odkaz:
http://arxiv.org/abs/2008.09085
Publikováno v:
Phys. Rev. Lett. 125, 258003 (2020)
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:
http://arxiv.org/abs/2008.01920
We analyze the 3-parameter family of random networks which are uniform on networks with fixed number of edges, triangles, and nodes (between 33 and 66). We find precursors of phase transitions which are known to be present in the asymptotic node regi
Externí odkaz:
http://arxiv.org/abs/1902.07170
Autor:
Radin, Charles, Swinney, Harry L.
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:
http://arxiv.org/abs/1807.01797
Autor:
Neeman, Joe1 (AUTHOR) joeneeman@gmail.com, Radin, Charles1 (AUTHOR), Sadun, Lorenzo1 (AUTHOR)
Publikováno v:
Probability Theory & Related Fields. Aug2023, Vol. 186 Issue 3/4, p1167-1223. 57p.
