Results 61 to 70 of about 654,066 (314)
Metric Mean Dimension for Algebraic Actions of Sofic Groups [PDF]
Recently Bingbing Liang and Hanfeng Li computed the mean dimension and metric mean dimension for algebraic actions of amenable groups. We show how to extend their computation of metric mean dimension to the case of sofic groups, provided that the dual ...
Hayes, Ben
core
Mixed metric dimension of graphs [PDF]
arXiv admin note: text overlap with arXiv:1602 ...
Aleksander Kelenc+3 more
openaire +4 more sources
occumb: An R package for site occupancy modeling of eDNA metabarcoding data
This study introduces a new R package, occumb, for the convenient application of site occupancy modeling using environmental DNA (eDNA) metabarcoding data. We outline a data analysis workflow, including data setup, model fitting, model assessment, and comparison of potential study settings based on model predictions, all of which can be performed using
Keiichi Fukaya, Yuta Hasebe
wiley +1 more source
Entropy dimension of measure preserving systems
The notion of metric entropy dimension is introduced to measure the complexity of entropy zero dynamical systems. For measure preserving systems, we define entropy dimension via the dimension of entropy generating sequences.
Dou, Dou, Huang, Wen, Park, Kyewon Koh
core +1 more source
Metric Dimension for Random Graphs [PDF]
The metric dimension of a graph $G$ is the minimum number of vertices in a subset $S$ of the vertex set of $G$ such that all other vertices are uniquely determined by their distances to the vertices in $S$. In this paper we investigate the metric dimension of the random graph $G(n,p)$ for a wide range of probabilities $p=p(n)$.
Béla Bollobás+2 more
openaire +4 more sources
We investigate the seasonal dynamics of two freshwater snails, Biomphalaria straminea and Melanoides tuberculata, in artificial reservoirs of the Brazilian semiarid region. Despite regulated hydrology, B. straminea exhibited strong seasonal fluctuations associated with dry periods, while M. tuberculata maintained stable populations throughout the year,
Lucas Henrique Sousa da Silva+6 more
wiley +1 more source
Metric Dimension Parameterized by Max Leaf Number
The metric dimension of a graph is the size of the smallest set of vertices whose distances distinguish all pairs of vertices in the graph. We show that this graph invariant may be calculated by an algorithm whose running time is linear in the input ...
Eppstein, David
core +1 more source
Making tau amyloid models in vitro: a crucial and underestimated challenge
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
Metric dimension of generalized wheels
In a graph G, a vertex w∈V(G)resolves a pair of vertices u,v∈V(G)if d(u,w)≠d(v,w). A resolving set of G is a set of vertices S such that every pair of distinct vertices in V(G)is resolved by some vertex in S.
Badekara Sooryanarayana+2 more
doaj +1 more source
Axisymmetric metrics in arbitrary dimensions [PDF]
We consider axially symmetric static metrics in arbitrary dimension, both with and without a cosmological constant. The most obvious such solutions have an SO(n) group of Killing vectors representing the axial symmetry, although one can also consider abelian groups which represent a flat `internal space'.
Ruth Gregory, Christos Charmousis
openaire +4 more sources