Results 1 to 10 of about 2,792,962 (323)
A Metrizable Topology on the Contracting Boundary of a Group [PDF]
Transactions of the American Mathematical Society, 2018 The 'contracting boundary' of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space.
Cashen, Christopher H., Mackay, John M.
core +9 more sources
Topology of the Future Chronological Boundary: Universality for Spacelike Boundaries [PDF]
Class.Quant.Grav. 17 (2000) 551-603, 1999 A method is presented for imputing a topology for any chronological set, i.e., a set with a chronology relation, such as a spacetime or a spacetime with some sort of boundary. This topology is shown to have several good properties, such as replicating the manifold topology for a spacetime and replicating the expected topology for some simple examples ...
Steven G. Harris
arxiv +6 more sources
Bulk-boundary thermodynamic equivalence: a topology viewpoint [PDF]
Journal of High Energy Physics, 2023 Setting the cosmological constant to be dynamical, we study the bulk and boundary thermodynamics of charged Anti-de Sitter black holes. We develop mass/energy formulas in terms of thermodynamic state functions for the extended thermodynamics, mixed ...
Ming Zhang, Jie Jiang
doaj +2 more sources
Topology of critical points in boundary matrix duals [PDF]
Journal of High Energy Physics, 2023 Computation of topological charges of the Schwarzschild and charged black holes in AdS in canonical and grand canonical ensembles allows for a classification of the phase transition points via the Bragg-Williams off-shell free energy.
Pavan Kumar Yerra +2 more
doaj +2 more sources
Artificial Intelligence, 1996 AbstractHigh-level representations used in reasoning distinguish a special set of boundary locations, at which function values can change abruptly and across which adjacent regions may not be connected. Standard models of space and time, based on segmenting Rn, do not allow these possibilities because they have the wrong topological structure at ...
Margaret M. Fleck
openalex +3 more sources
Chiral Dirac superconductors: Second-order and boundary-obstructed topology [PDF]
Physical Review Research, 2020 We analyze the topological properties of a chiral p+ip superconductor for a two-dimensional metal and semimetal with four Dirac points. Such a system has been proposed to realize second-order topological superconductivity and host corner Majorana modes ...
Apoorv Tiwari, Ammar Jahin, Yuxuan Wang
doaj +2 more sources
Non-Hermitian Boundary Modes and Topology. [PDF]
Physical Review Letters, 2019 We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary codimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green's functions, we outline a generic ...
Dan S. Borgnia +2 more
semanticscholar +5 more sources
On the topology of the Newton boundary at infinity [PDF]
Journal of the Mathematical Society of Japan, 2008 We are interested in a global version of Le-Ramanujam μ -constant theorem from the Newton polyhedron point of view. More precisely, we prove a stability theorem which says that the global monodromy fibration of a polynomial function with Newton non-degenerate is uniquely determined by its Newton boundary at infinity.
Tiến-Sơn Phạm
openalex +4 more sources
Topology Adaptive Water Boundary Extraction Based on a Modified Balloon Snake: Using GF-1 Satellite Images as an Example [PDF]
Remote Sensing, 2017 Topology adaptive water boundary extraction from satellite images using parametric snakes remains challenging in the domain of image segmentation. This paper proposed a modified balloon snake (MB-Snake) method based on the balloon snake (B-Snake) method,
Wenying Du, Nengcheng Chen, Dandan Liu
doaj +2 more sources
Observation of momentum-gap topology of light at temporal interfaces in a time-synthetic lattice [PDF]
Nature CommunicationsTopological phases have prevailed across diverse disciplines, spanning electronics, photonics, and acoustics. Hitherto, the understanding of these phases has centred on energy (frequency) bandstructures, showcasing topological boundary states at spatial ...
Yudong Ren +10 more
doaj +2 more sources