ChemInform Abstract: Low-Dimensional Ferromagnetic Compounds: Recent Developments

1986 ◽  
Vol 17 (43) ◽  
Author(s):  
P. DAY
Keyword(s):  
Recent Developments ◽  
Low Dimensional

QFT, STRINGS AND LOW-DIMENSIONAL TOPOLOGY

2002 ◽  
Vol 17 (35) ◽  
pp. 2289-2295
Author(s):  
HU SEN
Keyword(s):  
Mirror Symmetry ◽  
Theoretical Physics ◽  
Yang Mills ◽  
Low Dimensional Topology ◽  
Witten Theory ◽  
Close Relationship ◽  
Jones Polynomials ◽  
Recent Developments ◽  
Low Dimensional ◽  
Chern Simons

In between the 80's and 90's we witnessed deep interactions between mathematics and theoretical physics, especially in the understanding of low-dimensional topology in terms of quantum field theory. For example, Jones polynomials (Chern–Simons–Witten theory), Donaldson and Seiberg–Witten invariants (SUSY Yang–Mills theory) and mirror symmetry (T duality in strings) are all naturally understood in terms of QFT and strings. Recent developments indicate a close relationship between gauge theory and gravity theory both in physics and in low-dimensional topology. We shall survey these developments and report some of our work. We shall also find that the keys to connect geometric and physical objects are through symmetry and quantization.

FUNCTIONAL RENORMALIZATION GROUP IN THE 2D HUBBARD MODEL

2006 ◽  
Vol 20 (19) ◽  
pp. 2636-2646 ◽  
Author(s):  
CARSTEN HONERKAMP
Keyword(s):  
Renormalization Group ◽  
Hubbard Model ◽  
Fermi Liquid ◽  
Broken Symmetry ◽  
Two Dimensional ◽  
Functional Renormalization Group ◽  
Recent Developments ◽  
Dimensional Models ◽  
Low Dimensional

We review recent developments in functional renormalization group (RG) methods for interacting fermions. These approaches aim at obtaining an unbiased picture of competing Fermi liquid instabilities in the low-dimensional models like the two-dimensional Hubbard model. We discuss how these instabilities can be approached from various sides and how the fermionic RG flow can be continued into phases with broken symmetry.

scholarly journals Statistical challenges of high-dimensional data

2009 ◽  
Vol 367 (1906) ◽  
pp. 4237-4253 ◽  
Author(s):  
Iain M. Johnstone ◽  
D. Michael Titterington
Keyword(s):  
High Dimensional Data ◽  
Large Datasets ◽  
The Other ◽  
High Dimensional ◽  
Large Set ◽  
Parameter Vector ◽  
Theme Issue ◽  
Data Space ◽  
Recent Developments ◽  
Low Dimensional

Modern applications of statistical theory and methods can involve extremely large datasets, often with huge numbers of measurements on each of a comparatively small number of experimental units. New methodology and accompanying theory have emerged in response: the goal of this Theme Issue is to illustrate a number of these recent developments. This overview article introduces the difficulties that arise with high-dimensional data in the context of the very familiar linear statistical model: we give a taste of what can nevertheless be achieved when the parameter vector of interest is sparse, that is, contains many zero elements. We describe other ways of identifying low-dimensional subspaces of the data space that contain all useful information. The topic of classification is then reviewed along with the problem of identifying, from within a very large set, the variables that help to classify observations. Brief mention is made of the visualization of high-dimensional data and ways to handle computational problems in Bayesian analysis are described. At appropriate points, reference is made to the other papers in the issue.

scholarly journals Recent Developments in Low-Dimensional Copper(II) Molecular Magnets

2013 ◽  
Vol 2013 (13) ◽  
pp. 2250-2250
Author(s):  
Christopher P. Landee ◽  
Mark M. Turnbull
Keyword(s):  
Molecular Magnets ◽  
Recent Developments ◽  
Low Dimensional

PHASE SYNCHRONIZATIONS: TRANSITIONS FROM HIGH- TO LOW-DIMENSIONAL TORI THROUGH CHAOS

2000 ◽  
Vol 10 (10) ◽  
pp. 2399-2414 ◽  
Author(s):  
BAMBI HU ◽  
ZHIGANG ZHENG
Keyword(s):  
Limit Cycles ◽  
Chaotic Dynamics ◽  
Statistical Approach ◽  
Phase Synchronization ◽  
Nonequilibrium Phase Transition ◽  
Recent Developments ◽  
Low Dimensional ◽  
Intermittent Chaos ◽  
Ordered State ◽  
Statistical Viewpoint

Phase synchronized entrainment of coupled nonidentical limit cycles and chaotic oscillators is a generic phenomenon in complicated and chaotic dynamics. Recent developments in phase synchronization are reviewed. Two approaches: The statistical approach and the dynamical approach are proposed. From a statistical viewpoint, phase entrainment exhibits a nonequilibrium phase transition from the disordered state to the ordered state. Dynamically, phase synchronization among oscillators shows a tree-like bifurcation and a number of clustered states are experienced. The route from partial to complete phase synchronization for coupled limit cycles is identified as a cascade of transitions from high- to low-dimensional tori (quasiperiodicity) interrupted by intermittent chaos. For coupled periodic oscillators, desynchronization-induced chaos originates from the mixing of intermittent ON–OFF duration time scales. For coupled chaotic cases, the route to phase entrainment is identified as transitions from high- to low-dimensional chaos.

scholarly journals Nanoscience and Nanotechnology, Proceedings of the INFN-LNF 2018 Conference

2019 ◽  
Vol 4 (4) ◽  
pp. 88
Author(s):  
Stefano Bellucci
Keyword(s):  
Condensed Matter ◽  
Energy Materials ◽  
Nanoscience And Nanotechnology ◽  
Refereeing Process ◽  
Recent Developments ◽  
Low Dimensional ◽  
Year 2000

The NEXT Nanotechnology group at INFN-Laboratori Nazionali di Frascati (LNF) has organized, since the year 2000, a yearly series of international meetings in the area of nanotechnology. The 2018 conference has been devoted to recent developments in nanoscience and their manifold technological applications. These consisted of a number of tutorial/keynote lectures, as well as research talks presenting frontier nanoscience research developments and innovative nanotechnologies in the areas of biology, medicine, aerospace, optoelectronics, energy, materials and characterizations, low-dimensional nanostructures and devices. Selected, original papers based on the 2018 conference talks and related discussions have been published, after a careful refereeing process, in the MDPI journal Condensed Matter, and are currently included in the present dedicated issue.

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