The eigenvalue distribution of a Wilson loop operator of fixed shape undergoes a transition under scaling at infinite N . We derive a large N scaling function in a double scaling limit of the average characteristic polynomial associated with the Wilson loop operator in two dimensional QCD. We hypothesize that the transition in three and four dimensional large N QCD are also in the same universa...

We investigate the correlation between the topological charge density and the small eigenvectors of the overlap Dirac operator on ensembles generated at four different quark masses using dynamical overlap fermions. We identify topological structures in the QCD vacuum, and by investigating their size, shape and topological charge, we determine that the small eigenvalues of the Dirac operator are...

We have studied the complete set of dimension 5 and dimension 6 effective operators involving the interaction of scalar, fermion and vector Dark Matter (DM) with SM quarks and gluons, to explore the possibility to distinguish these operators and characterise the spin of DM at the LHC. We have found that three factors — the effective dimension of the operator, the structure of the SM part of the...

Starting from the study of the Shepard nonlinear operator of maxprod type in [2], [3], in the recent monograph [4], Open Problem 5.5.4, pp. 324-326, the Baskakov max-prod type operator is introduced and the question of the approximation order by this operator is raised. The aim of this note is to obtain the order of uniform approximation Cω1(f ; 1 √ n ) (with the explicit constant C = 24) of an...

In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.

This paper introduces a novel 4D shape descriptor to match temporal surface sequences. A quantitative evaluation based on the Receiver-Operator Characteristic (ROC) curve is presented to compare the performance of conventional 3D shape descriptors with and without using a time filter. Featurebased 3D Shape Descriptors including Shape Distribution [24], Spin Image [14], Shape Histogram [1] and S...

A high-frequency asymptotics of the symbol of the Dirichlet-toNeumann map, treated as a periodic pseudodifferential operator, in 2D diffraction problems is discussed. Numerical results support a conjecture on a universal limit shape of the symbol.

A significant amount of research in the last few years has greatly advanced the field of structural control through the use of smart materials. Smart materials have the ability to change shape, stiffuess, natural frequency, damping and other mechanical characteristics in response to environmental condition changes. One of the new class of materials with promising applications in structural and ...

This paper proposes an effective algorithm based on the level set method (LSM) to solve shape and topology optimization problems. Since the conventional LSM has several limitations, a binary level set method (BLSM) is used instead. In the BLSM, the level set function can only take 1 and -1 values at convergence. Thus, it is related to phase-field methods. We don’t need to solve the Hamilton-Jac...