Graphical models for topological groups: A case study on countable Stone spaces
Abstract By analogy with the Cayley graph of a group with respect to a finite generating set or the Cayley–Abels graph of a totally disconnected, locally compact group, we detail countable connected graphs associated to Polish groups that we term Cayley–Abels–Rosendal graphs.
Beth Branman+3 more
wiley +1 more source
A comparative study of topological entropy characterization and graph energy prediction for Marta variants of covalent organic frameworks. [PDF]
Raza Z+3 more
europepmc +1 more source
Thurston obstructions and tropical geometry
Abstract We describe an application of tropical moduli spaces to complex dynamics. A post‐critically finite branched covering φ$\varphi$ of S2$S^2$ induces a pullback map on the Teichmüller space of complex structures of S2$S^2$; this descends to an algebraic correspondence on the moduli space of point‐configurations of P1$\mathbb {P}^1$.
Rohini Ramadas
wiley +1 more source
Optimizing predictive models for evaluating the F-temperature index in predicting the π-electron energy of polycyclic hydrocarbons, applicable to carbon nanocones. [PDF]
Hayat S+5 more
europepmc +1 more source
On Bergman–Toeplitz operators in periodic planar domains
Abstract We study spectra of Toeplitz operators Ta$T_a$ with periodic symbols in Bergman spaces A2(Π)$A^2(\Pi)$ on unbounded singly periodic planar domains Π$\Pi$, which are defined as the union of infinitely many copies of the translated, bounded periodic cell ϖ$\varpi$.
Jari Taskinen
wiley +1 more source
Exploring a new topological insulator in β-BiAs oxide. [PDF]
Teshome T.
europepmc +1 more source
Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang+3 more
wiley +1 more source
Sensitivity analysis and compensation for tooth surface deviation of spiral bevel gear machine tool. [PDF]
Yang J+5 more
europepmc +1 more source
Assessing interface accuracy in macromolecular complexes. [PDF]
Ludwiczak O, Antczak M, Szachniuk M.
europepmc +1 more source
Topological and geometric analysis of cell states in single-cell transcriptomic data. [PDF]
Huynh T, Cang Z.
europepmc +1 more source