A modified HIV model with Beddington-DeAngelis incidence and cure rate. [PDF]
Ramadan S, Salman S, El-Sayed A.
europepmc +1 more source
Density Conditions for k $k$ Vertex‐Disjoint Triangles in Tripartite Graphs
ABSTRACT Let n , k $n,k$ be positive integers such that n ≥ k $n\ge k$ and G $G$ be a tripartite graph with parts A , B , C $A,B,C$ such that ∣ A ∣ = ∣ B ∣ = ∣ C ∣ = n $| A| =| B| =| C| =n$. Denote the edge densities of G [ A , B ] , G [ A , C ] $G[A,B],G[A,C]$ and G [ B , C ] $G[B,C]$ by α , β $\alpha ,\beta $ and γ $\gamma $, respectively.
Mingyang Guo, Klas Markström
wiley +1 more source
The shifted convolution problem in function fields. [PDF]
Florea A, Lalín M, Malik A, Sahay A.
europepmc +1 more source
Saturated Partial Embeddings of Planar Graphs
ABSTRACT In this work, we study how far one can deviate from optimal behavior when embedding a planar graph. For a planar graph G $G$, we say that a plane subgraph H ⊆ G $H\subseteq G$ is a plane‐saturated subgraph if adding any edge (possibly with new vertices) to H $H$ would either violate planarity or make the resulting graph no longer a subgraph of
Alexander Clifton, Nika Salia
wiley +1 more source
Additivity and Chain Rules for Quantum Entropies via Multi-index Schatten Norms. [PDF]
Fawzi O +3 more
europepmc +1 more source
Theory of Supercritical Coupling and Generalized Bound States in the Continuum
We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
wiley +1 more source
How Long does it Take to Train an Elephant Random Walk. [PDF]
Fang Z.
europepmc +1 more source
Intrinsically Design‐Rule‐Compliant Nanophotonic Inverse Design via Learned Generative Manifolds
A generative reparameterization framework for nanophotonic inverse design is introduced, restricting optimization to a learned manifold of design‐rule‐compliant geometries. Unlike conventional penalty‐based approaches, fabrication constraints are encoded intrinsically within the design representation.
Bahrem Serhat Danis +8 more
wiley +1 more source
Soliton management in a variable-coefficient coupled dispersionless system via Darboux transformation. [PDF]
Riaz HWA, Yildirim Y, Alshuhail A.
europepmc +1 more source
Visibility and Intersection Density for Boolean Models in Hyperbolic Space
ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler +2 more
wiley +1 more source

