We give a full description for the shape of the classical (2+1)d Solid-On-Solid model above a wall, introduced by Temperley (1952). On an L× L box at a large inverse-temperature β the height of most sites concentrates on a single level h = ⌊ 1 4β logL⌋ for most values of L. For a sequence of diverging boxes the ensemble of level lines of heights (h, h − 1, . . .) has a scaling limit in Hausdorf...

We propose a scheme for determining a generalised scaling function, namely the Sudakov factor in a peculiar double scaling limit for large spin and twist operators belonging to the sl(2) sector of planar N = 4 SYM. In particular, we perform explicitly the all-order computation at strong ’t Hooft coupling regarding the first (contribution to the) generalised scaling function. Moreover, we compar...

Suppose {T } is a Borel flow on a complete separable metric space X, f : X → R is Borel, and x ∈ X. A temporal distributional limit theorem is a scaling limit for the distributions of the random variables XT := ∫ t 0 f(T x)ds, where t is chosen randomly uniformly from [0, T ], x is fixed, and T → ∞. We discuss such laws for irrational rotations, Anosov flows, and horocycle flows. Dedicated to D...

Stages of growth models have been used widely in both organizational research and information technology management research. However, stages of growth models are criticized for lack of empirical validity. This paper develops a survey instrument to empirically validate a knowledge management technology stage model. The survey instrument has several parts that enable cross-examination of respons...

Stimuli presented pairwise for same–different judgments belong to two distinct observation areas (different time intervals and/or locations). To reflect this fact the underlying assumptions of multidimensional Fechnerian scaling (MDFS) have to be modified, the most important modification being the inclusion of the requirement that the discrimination probability functions possess regular minima....

We study the statistics of a system of N random levels with integer values, in the presence of a logarithmic repulsive potential of Dyson type. This probleme arises in sums over representations (Young tableaux) of GL(N) in various matrix problems and in the study of statistics of partitions for the permutation group. The model is generalized to include an external source and its correlators are...

Lubricant is vital to improve energy efficiency and workpiece durability for the moving counterpart. High-temperature lubricants are important hot rolling process reduce force protect roller strips. The current paper concerns eco-friendly sodium metasilicate as a high-temperature lubricant. A mill employed evaluate lubrication effect of metasilicate. influence crucial factors concentration lubr...

For Dyson's model of Brownian motions we prove that the uctua-tions are of order one and, in a scaling limit, are governed by an innnite dimensional Ornstein-Uhlenbeck process. This extends a previous result valid only at the free Fermion point = 2. Dyson's model can also be interpreted as a random surface. Our result implies that the surface statistics is governed by a massless Gaussian eld in...

BACKGROUND Low dimensional maps of protein structure space (MPSS) provide a powerful global representation of all proteins. In such mappings structural relationships are depicted through spatial adjacency of points, each of which represents a molecule. MPSS can help in understanding the local and global topological characteristics of the structure space, as well as elucidate structure-function ...

We study the double scaling limit of mKdV type, realized in the two-cut Hermitian matrix model. Building on the work of Periwal and Shevitz and of Nappi, we find an exact solution including all odd scaling operators, in terms of a hierarchy of flows of 2× 2 matrices. We derive from it loop equations which can be expressed as Virasoro constraints on the partition function. We discover a “pure to...