Zobrazeno 1 - 10
of 133
pro vyhledávání: '"CHOKSI, RUSTUM"'
We explore a method of statistical estimation called Maximum Entropy on the Mean (MEM) which is based on an information-driven criterion that quantifies the compliance of a given point with a reference prior probability measure. At the core of this a
Externí odkaz:
http://arxiv.org/abs/2211.05205
This article addresses how diverse collective behaviors arise from simple and realistic decisions made entirely at the level of each agent's personal space in the sense of the Voronoi diagram. We present a discrete time model in 2D in which individua
Externí odkaz:
http://arxiv.org/abs/2111.03448
Publikováno v:
Nonlinearity 35 (2022) 1500-1520
Using the recently developed theory of rigorously validated numerics, we address the Phase-Field-Crystal (PFC) model at the microscopic (atomistic) level. We show the existence of critical points and local minimizers associated with "classical" candi
Externí odkaz:
http://arxiv.org/abs/2102.02338
This paper establishes bounds on the homogenized surface tension for a heterogeneous Allen-Cahn energy functional in a periodic medium. The approach is based on relating the homogenized energy to a purely geometric variational problem involving the l
Externí odkaz:
http://arxiv.org/abs/2010.05849
Finding optimal (or low energy) centroidal Voronoi tessellations (CVTs) on a 2D domain is a challenging problem. One must navigate an energy landscape whose desirable critical points have sufficiently small basins of attractions that they are inacces
Externí odkaz:
http://arxiv.org/abs/2005.00094
Image deblurring is a notoriously challenging ill-posed inverse problem. In recent years, a wide variety of approaches have been proposed based upon regularization at the level of the image or on techniques from machine learning. We propose an altern
Externí odkaz:
http://arxiv.org/abs/2002.10434
This note concerns the problem of minimizing a certain family of non-local energy functionals over measures on $\mathbb{R}^n$, subject to a mass constraint, in a strong attraction limit. In these problems, the total energy is an integral over pair in
Externí odkaz:
http://arxiv.org/abs/1911.02539
We present a detailed comparison of multiple statistical grain metrics for previously reported experimental thin film samples of aluminum with 2D simulations obtained from the Phase-Field-Crystal (PFC) model and a Mullins grain boundary motion model.
Externí odkaz:
http://arxiv.org/abs/1811.11900
We introduce and study certain variants of Gamow's liquid drop model in which an anisotropic surface energy replaces the perimeter. After existence and nonexistence results are established, the shape of minimizers is analyzed. Under suitable regulari
Externí odkaz:
http://arxiv.org/abs/1810.08304