Results 41 to 50 of about 469,372 (283)
The Sub-Index of Critical Points of Distance Functions [PDF]
, 2015 We define a new notion---the sub-index of a critical point of a distance function. We show how sub-index affects the homotopy type of sublevel sets of distance functions.Comment: We corrected a mistake in the proof of Theorem 3.
Herzog, Barbara, Wilhelm, Frederick
core
A simple proof of Perelman's collapsing theorem for 3-manifolds
, 2010 We will simplify earlier proofs of Perelman's collapsing theorem for 3-manifolds given by Shioya-Yamaguchi and Morgan-Tian. Among other things, we use Perelman's critical point theory (e.g., multiple conic singularity theory and his fibration theory) for
A. Petrunin +35 more
core +5 more sources
Critical Point Theorems and Ekeland Type Variational Principle with Applications [PDF]
Fixed Point Theory and Applications, 2010 AbstractWe introduce the notion of "Equation missing"-spaces which is much weaker than cone metric spaces defined by Huang and X. Zhang (2007). We establish some critical point theorems in the setting of "Equation missing"-spaces and, in particular, in the setting of complete cone metric spaces.
Ansari QamrulHasan +2 more
openaire +4 more sources
Spin‐Split Edge States in Metal‐Supported Graphene Nanoislands Obtained by CVD
Advanced Materials, EarlyView.Combining STM measurements and ab‐initio calculations, we show that zig‐zag edges in graphene nanoislands grown on Ni(111) by CVD retrieve their spin‐polarized edge states after intercalation of a few monolayers of Au. ABSTRACT Spin‐split states localized on zigzag edges have been predicted for different free‐standing graphene nanostructures.
Michele Gastaldo +6 more
wiley +1 more source
On the concept of effective temperature in current carrying quantum critical states
, 2009 Quantum criticality has attracted considerable attention both theoretically and experimentally as a way to describe part of the phase diagram of strongly correlated systems.
Choi +14 more
core +1 more source
Quantitative deformation theorems and critical point theory [PDF]
Pacific Journal of Mathematics, 1999 In the development to a nonsmooth setting of some M. Schechter results [\textit{M. Schechter}, Topol. Methods Nonlinear Anal. 6, No. 2, 295-308 (1995; Zbl 0864.58007)] the author shows for continuous functionals on metric spaces, how quantitative deformation properties can be used to obtain saddle-point type results, even for the case when the usual ...
openaire +1 more source
Gapless Superconductivity From Extremely Dilute Magnetic Disorder in 2H‐NbSe2‐xSx
Advanced Materials, EarlyView.We demonstrate that 2H‐NbSe2‐xSx hosts gapless superconductivity at unexpectedly low magnetic impurity concentrations. Combining STM, Bogoliubovde Gennes simulations, DFT, and quasiparticle interference, we comprehensively study the development of gapless behavior and show that SeS substitution reshapes the band structure, enhances nesting, and drives ...
Jose Antonio Moreno +16 more
wiley +1 more source
A Goldstone Theorem in Thermal Relativistic Quantum Field Theory
, 2010 We prove a Goldstone Theorem in thermal relativistic quantum field theory, which relates spontaneous symmetry breaking to the rate of space-like decay of the two-point function.
Blanchard Ph. +12 more
core +1 more source
Plasmonic Nanomachines: Creating Local Potential Gradients and Motions
Advanced Materials, EarlyView.Plasmonic nanomachines can generate optical, thermal, and chemical potential gradients to drive directional rectilinear, rotational, and twisting motions at the nanometer scale. The integration of multimodal plasmonic forces with functional materials and programmed structural distortions enables precise spatiotemporal actuation, thereby providing a ...
Yoonhee Kim +3 more
wiley +1 more source
Advanced Materials, EarlyView.Stacked nanoflake assembly (SNA) membranes can oscillate autonomously, offering opportunities for soft actuation and energy harvesting. This work uncovers the physical mechanism behind the sustained oscillation of SNA membranes in gradient humidity and identifies three governing dimensionless parameters, enabling rational design for optimizing SNA ...
Zijing Zhang +5 more
wiley +1 more source