In a recent paper (1), Michael J. Saxton proposes to interpret as anomalous diffusion the occurrence of apparent transient sub-diffusive regimes in mean-squared displacements (MSD) plots, calculated from trajectories of molecules diffusing in living cells, acquired by Single Particle (or Molecule) Tracking techniques (SPT or SMT). The demonstration relies on the analysis of both three-dimension...

In recent years, the spontaneous appearance of adenomas in the anterior hypophyses of rats has been described by Wolfe, Bryan, and Wright (39), by Oberling and his associates (24), by Saxton (28) and by Saxton and Graham (29). These adenomatous growths have been found almost entirely in the anterior lobes of old rats and their presence is seemingly a manifestation of advancing age. The size. ap...

In recent breakthrough results, Saxton–Thomason and Balogh–Morris–Samotij have developed powerful theories of hypergraph containers. These theories have led to a large number of new results on transference, and on counting and characterising typical graphs in hereditary properties. In a different direction, Hatami–Janson–Szegedy proved results on the entropy of graph limits which enable us to c...

Knowledge of longitudinal electron bunch profiles is vital to optimize the performance plasma wakefield accelerators and x-ray free laser linacs. Because their importance these novel applications, noninvasive frequency domain techniques are often employed reconstruct from coherent synchrotron, transition, or undulator radiation measurements. In this paper, we detail several common reconstructio...

In this paper, a 0.1λ0-thick 1-bit coding metasurface is proposed to achieve polarization-insensitive hologram under oblique incidence, utilizing compact ground-backed patch unit cells. Fourier convolution theory in digital signal processing system added the calculation of improved weighted Gerchberg–Saxton (GSW) algorithm control scattered pattern microwave region. As proof concept, prototype ...

Morris and Saxton used the method of containers to bound number n-vertex graphs with m edges containing no ℓ-cycles, hence girth more than ℓ. We consider a generalization r-uniform hypergraphs. The hypergraph H is minimum ℓ ≥ 2 such that there exist distinct vertices v 1 , … hyperedges e i + ∈ for all ≤ Letting N r ( n ) denote hypergraphs larger defining λ = ⌈ − ∕ ⌉ we show which tight when di...