Zobrazeno 1 - 10
of 2 991
pro vyhledávání: '"SIMMONS, DAVID"'
Autor:
Hatefi, Dorsa, Simmons, David
The set of badly approximable numbers, Bad, is known to be winning for Schmidt's game and hence has full Hausdorff dimension. It is also known that the set of inhomogeneously badly approximable numbers has full dimension. We prove that the set differ
Externí odkaz:
http://arxiv.org/abs/2412.01669
Let $X = [0,1]$, and let $T:X\to X$ be an expanding piecewise linear map sending each interval of linearity to $[0,1]$. For $\psi:\mathbb N\to\mathbb R_{\geq 0}$, $x\in X$, and $N\in\mathbb N$ we consider the recurrence counting function \[ R(x,N;T,\
Externí odkaz:
http://arxiv.org/abs/2410.22993
Autor:
Yue, Peijing, Simmons, David S.
Polymers near the glass transition temperature Tg often exhibit a breakdown of time-temperature-superposition (TTS), with chain relaxation times and viscosity exhibiting a weaker temperature dependence than segmental relaxation times. The origin of t
Externí odkaz:
http://arxiv.org/abs/2403.00959
Autor:
Xu, Jianquan, Ghanekarade, Asieh, Li, Li, Zhu, Huifeng, Yuan, Hailin, Yan, Jinsong, Simmons, David S., Tsui, Ophelia K. C., Wang, Xinping
The temperature at which supercooled liquids turn into solid-like glasses ($T_g$) can change at the free surface, affecting the properties of nanostructured glasses and their applications. However, inadequate experimental resolution to determine the
Externí odkaz:
http://arxiv.org/abs/2402.06917
Publikováno v:
Macromolecules (2024)
Nanoparticles can greatly enhance the mechanical response of elastomeric polymers essential to a wide range of applications, yet their precise molecular mechanisms of high-strain reinforcement remain largely unresolved. Here we show, based on molecul
Externí odkaz:
http://arxiv.org/abs/2310.18433
Autor:
Das, Tushar, Simmons, David
We study the exact Hausdorff and packing dimensions of the $prime$ $Cantor$ $set$, $\Lambda_P$, which comprises the irrationals whose continued fraction entries are prime numbers. We prove that the Hausdorff measure of the prime Cantor set cannot be
Externí odkaz:
http://arxiv.org/abs/2305.11829
We introduce a novel loss function to minimize the outage probability of an ML-based resource allocation system. A single-user multi-resource greedy allocation strategy constitutes our application scenario, for which an ML binary classification predi
Externí odkaz:
http://arxiv.org/abs/2305.09739
Is the Molecular Weight Dependence of the Glass Transition Temperature Caused by a Chain End Effect?
Autor:
Drayer, William F., Simmons, David S.
The immense dependence of the glass transition temperature $T_g$ on molecular weight $M$ is one of the most fundamentally and practically important features of polymer glass formation. Here, we report on molecular dynamics simulation of three model l
Externí odkaz:
http://arxiv.org/abs/2303.15399