Results 41 to 50 of about 476,467 (270)
Two’s company, three (or more) is a simplex [PDF]
Journal of Computational Neuroscience, 2016 The language of graph theory, or network science, has proven to be an exceptional tool for addressing myriad problems in neuroscience. Yet, the use of networks is predicated on a critical simplifying assumption: that the quintessential unit of interest ...
Chad Giusti, R. Ghrist, D. Bassett
semanticscholar +1 more source
Random discrete probability measures based on a negative binomial process
Canadian Journal of Statistics, EarlyView.Abstract A distinctive functional of the Poisson point process is the negative binomial process for which the increments are not independent but are independent conditional on an underlying gamma variable. Using a new point process representation for the negative binomial process, we generalize the Poisson–Kingman distribution and its corresponding ...
Sadegh Chegini, Mahmoud Zarepour
wiley +1 more source
Math 752 Algebraic Topology II - Winter \u2784 [PDF]
, 1984 A collection of notes for the course MAT 752, Algebraic Topology II, prepared by Professor David Handel of the Wayne State University Mathematics Department.
Handel, David
core +1 more source
Geodesic knots in cusped hyperbolic 3-manifolds
, 2009 We consider the existence of simple closed geodesics or "geodesic knots" in finite volume orientable hyperbolic 3-manifolds. Previous results show that at least one geodesic knot always exists [Bull. London Math. Soc.
Chinburg +3 more
core +1 more source
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, EarlyView.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley +1 more source
Communications on Pure and Applied Mathematics, EarlyView.Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta +2 more
wiley +1 more source
, 2005 The phenomenon of quantum number fractionalization is explained. The relevance of non-trivial phonon field topology is emphasized.
arxiv +1 more source
Fruit flies and moduli: interactions between biology and mathematics [PDF]
, 2015 Possibilities for using geometry and topology to analyze statistical problems in biology raise a host of novel questions in geometry, probability, algebra, and combinatorics that demonstrate the power of biology to influence the future of pure ...
Ezra Miller
semanticscholar +1 more source
Energy Science &Engineering, EarlyView.ABSTRACT This attempt examines the heat transfer enhancement from unsteady bioconvective Maxwell nanofluid flow under the incidence of solar radiation influenced by viscous dissipation and chemical reaction through a porous medium. The nanofluid contains silver and titanium alloy hybrid nanoparticles with gyrotactic micro‐organisms in ethylene glycol ...
Bhupendra K. Sharma +4 more
wiley +1 more source
A Sharper Ramsey Theorem for Constrained Drawings
Journal of Graph Theory, EarlyView.ABSTRACT Given a graph G $G$ and a collection C ${\mathscr{C}}$ of subsets of Rd ${{\mathbb{R}}}^{d}$ indexed by the subsets of vertices of G $G$, a constrained drawing of G $G$ is a drawing where each edge is drawn inside some set from C ${\mathscr{C}}$, in such a way that nonadjacent edges are drawn in sets with disjoint indices.
Pavel Paták
wiley +1 more source