Results 171 to 180 of about 187,749 (326)

The clustering coefficient of a scale-free random graph [PDF]

open access: yes, 2009
We consider a random graph process in which, at each time step, a new vertex is added with m out-neighbours, chosen with probabilities proportional to their degree plus a strictly positive constant.
Eggemann, N, Noble, S D
core  

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone   +3 more
wiley   +1 more source

Front Propagation Through a Perforated Wall

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki   +2 more
wiley   +1 more source

Harmonizing Social Impact Assessment in the Bioeconomy: A Cross‐Regional Fuzzy‐Delphi Approach

open access: yesCorporate Social Responsibility and Environmental Management, EarlyView.
ABSTRACT The bioeconomy transition risks underrepresenting social sustainability, while existing Social Life Cycle Assessment (S‐LCA) applications remain insufficient for comparison and decision support due to heterogeneous and non‐standardized selection of social impact categories. This study proposes a cross‐regional baseline set of impact categories
Julia Lessa Feitosa Virgolino   +2 more
wiley   +1 more source

Robinow syndrome DVL1 variants disrupt morphogenesis and appendage formation in a Drosophila disease model

open access: yesDevelopmental Dynamics, EarlyView.
Abstract Background Robinow syndrome is a rare developmental syndrome caused by variants in genes in Wnt signaling pathways. We previously showed that expression of patient variants in Dishevelled 1 (DVL1) in Drosophila and chicken models disrupts the balance of canonical and non‐canonical Wnt signaling.
Gamze Akarsu   +4 more
wiley   +1 more source

Zeta functions of quaternion weighted graphs (Research on algebraic combinatorics and representation theory of finite groups and vertex operator algebras)

open access: yesZeta functions of quaternion weighted graphs (Research on algebraic combinatorics and representation theory of finite groups and vertex operator algebras)
グラフのゼータ関数は, 伊原[6]により定義された伊原ゼータ関数が起源である. 伊原ゼータ関数は, PGL(2, mathbb{Q}_{p})の捻れのない余コンパクトな離散部分群rから定まるセルバーグゼータ関数の類似であり, 母関数型表示と行列式表示を持つことが[6]において示された. その後, Serre[15]により, 伊原ゼータ関数は, SL(2, mathbb{Q}_{p})に付随したBruhat-Tits tree(無限正則木)のrによる商グラフ(有限正則グラフ)のゼータ関数であることが示唆され, 砂田[17, 18]によってグラフのゼータ関数が確立された. その後多くの研究者の貢献により, グラフのゼータ関数は大きく発展した.
openaire  

On Almost Distance-Regular Graphs [PDF]

open access: yes
2010 Mathematics Subject Classification: 05E30, 05C50;distance-regular graph;walk-regular graph;eigenvalues;predistance ...
Fiol, M.A.   +4 more
core   +1 more source

Biophysical processes of morphogenesis in lizard lungs

open access: yesDevelopmental Dynamics, EarlyView.
Abstract Background The lungs of squamate reptiles (lizards and snakes) are highly diverse, exhibiting single chambers, multiple chambers, transitional forms with two to three chambers, along with a suite of other anatomical features, including finger‐like epithelial projections into the body cavity known as diverticulae.
Kaleb Hill   +9 more
wiley   +1 more source

Stereo‐EEG mapping of visual working memory with task‐related high‐gamma modulations

open access: yesEpilepsia, EarlyView.
Abstract Objective We describe a safe, informative, and easy‐to‐implement approach for presurgical mapping of visual working memory (VWM) with stereo‐electroencephalography (SEEG). Methods Twenty‐four patients with drug‐resistant epilepsy, 11–23 years of age, performed a single‐probe change detection VWM task, during SEEG monitoring.
Brian Ervin   +13 more
wiley   +1 more source

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