Results 111 to 120 of about 565,556 (249)

Entropy and topology for manifolds with boundaries

, 1995
In this work a deep relation between topology and thermodynamical features of manifolds with boundaries is shown. The expression for the Euler characteristic, through the Gauss- Bonnet integral, and the one for the entropy of gravitational instantons are proposed in a form which makes the relation between them self-evident.
Liberati, Stefano, Pollifrone, Giuseppe
openaire   +2 more sources

From Becker-Döring to Lifshitz-Slyozov: deriving the non-local boundary condition of a non-linear transport equation

ITM Web of Conferences, 2015
We investigate the connection between two classical models of phase transition phenomena, the (discrete size, Markov chain or infinite set of ODE) Becker-Döring equations and the (continuous size, PDE) Lifshitz-Slyozov equation.
Yvinec Romain, Deschamps Julien, Hingant Erwan   +2 more
doaj   +1 more source

The combinatorial topology of analytic functions of the boundary of a disk [PDF]

, 1961
Charles J. Titus
openalex   +1 more source

A distributional representation of strip analytic functions

International Journal of Mathematics and Mathematical Sciences, 1982
A strip analytic function converging in the D′ topology to certain boundary values (from the interior of the strip) is represented as the difference of two generalized Cauchy integrals.
Dragiŝa Mitrović
doaj   +1 more source

Pseudo-differential projections and the topology of certain spaces of elliptic boundary value problems [PDF]

, 1989
Bernhelm Booß–Bavnbek, Krzysztof P. Wojciechowski   +1 more
openalex   +1 more source

Quasi-Isometries Need Not Induce Homeomorphisms of Contracting Boundaries with the Gromov Product Topology

Analysis and Geometry in Metric Spaces, 2016
We consider a ‘contracting boundary’ of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.We topologize this set via the Gromov product, in analogy to the topology of the ...
Cashen Christopher H.
doaj   +1 more source

Non-Hermitian Origin of Wannier Localizability and Detachable Topological Boundary States [PDF]

arXiv
While topology can impose obstructions to exponentially localized Wannier functions, certain topological insulators are exempt from such Wannier obstructions. The absence of the Wannier obstructions can further accompany topological boundary states that are detachable from the bulk bands.
arxiv  

Topological Quantum Computation with Gapped Boundaries and Boundary Defects [PDF]

arXiv, 2017
We survey some recent work on topological quantum computation with gapped boundaries and boundary defects and list some open problems.
arxiv  

Strong boundedness of analytic functions in tubes

International Journal of Mathematics and Mathematical Sciences, 1979
Certain classes of analytic functions in tube domains TC=ℝn+iC in n-dimensional complex space, where C is an open connected cone in ℝn, are studied. We show that the functions have a boundedness property in the strong topology of the space of tempered ...
Richard D. Carmichael
doaj   +1 more source

Hyperbolic groups with 1-dimensional boundary [PDF]

arXiv, 1998
If a torsion-free hyperbolic group G has 1-dimensional boundary, then the boundary is a Menger curve or a Sierpinski carpet provided G does not split over a cyclic group. When the boundary of G is a Sierpinski carpet we show that G is a quasi-convex subgroup of a 3-dimensional hyperbolic Poincare duality group. We also construct a ``topologically rigid'
arxiv