We discuss two extensions to a recently introduced theory of arrays, which are based on considerations coming from the model theory of power structures. First, we discuss how the ordering relation on the index set can be expressed succinctly by referring t ...
We propose ordering-based approaches for learning the maximal ancestral graph (MAG) of a structural equation model (SEM) up to its Markov equivalence class (MEC) in the presence of unobserved variables. Existing ordering-based methods in the literature rec ...
Association for the Advancement of Artificial Intelligence (AAAI)2023
The controllability cost for the heat equation as the control time T goes to 0 is well-known of the order eC/T for some positive constant C, depending on the controlled domain and for all initial datum. In this paper, we prove that the constant $C ...
Dielectric metasurfaces require the integration of large index contrast materials with accurate control over position and size for high optical efficiency. Their fabrication usually relies on well-established lithographic techniques. While lithography bear ...
IMPACT STATEMENT Experiments and theory are highlighting chemical ordering in high-entropy alloys (HEAs) as important for mechanical properties but the high strength in CoCrFeNiPd is predicted here to be achievable in the random alloy due to the large misf ...
Nonspecific protein adhesion to nanoparticle (NP) has been proven to have important implications in nanomedicine. However, there are only a few examples of careful studies relating protein binding thermodynamics to NP physicochemical features. In particula ...
We consider sets L = {l(1),..., l(n)} of n labeled lines in general position in R-3, and study the order types of point sets {p(1),..., p(n)} that stem from the intersections of the lines in L with (directed) planes Pi, not parallel to any line of L, that ...
The ordering of communication channels was first introduced by Shannon. In this paper, we aim to find characterizations of two orderings: input-degradedness and the Shannon ordering. A channel W is said to be input-degraded from another channel W' if W can ...
As technology advances, surface coatings become more and more important to assure materials performances. In recent years, molecular coatings have found larger acceptance and uses. Among them, self-assembled monolayers (SAMs) are attractive because they ar ...
Modern ultrafast techniques provide new insights into the dynamics of ions, charges, and spins in photoexcited nanostructures. In this review, we describe the use of time-resolved electron-based methods to address specific questions such as the ordering pr ...
A method of encoding data for transmission from a source to a destination over a communications channel is provided. The method operates on an ordered set of input symbols and includes generating a plurality of redundant symbols from the input symbols base ...
Ordered patterns of highly compliant ferroelastic domains have been created by use of tensile strained epitaxial Pb(Zr, Ti)O-3 thin films, of very low defect density, grown on DyScO3 substrates. The effect of 180 degrees switching on well-ordered a/c 90 de ...
A k-ary semi-algebraic relation E on R-d is a subset of R-kd, the set of k-tuples of points in R-d, which is determined by a finite number of polynomial inequalities in kd real variables. The description complexity of such a relation is at most t if d, k < ...
The properties of ferroelectric materials, such as lead zirconate titanate (PZT), are heavily influenced by the interaction of defects with domain walls. These defects are either intrinsic or are induced by the addition of dopants. We study here PbTiO3 (th ...
We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidean axioms. In particular, we show how to derive such a system of digital segments from any total order o ...
We prove a Hadwiger transversal-type result, characterizing convex position on a family of non-crossing convex bodies in the plane. This theorem suggests a definition for the order type of a family of convex bodies, generalizing the usual definition of ord ...
The baseplate of phage T4 is an important model system in viral supramolecular assembly. The baseplate consists of six wedges surrounding the central hub. We report the first successful attempt at complete wedge assembly using an in vitro approach based on ...
This thesis studies the phenomenon of jamming in granular media, such as when a salt shaker gets clogged. We use modern instrumentation, like X-ray synchrotron tomography, to look inside real jamming experiments. High performance computers allow simulating ...
We show that for critical reversible attractive Nearest Particle Systems all equilibrium measures are convex combinations of the upper invariant equilibrium measure and the point mass at all zeros, provided the underlying renewal sequence possesses moments ...
