We introduce the Convex Hull of Admissible Modularity Partitions (CHAMP) algorithm to prune and prioritize different network community structures identified across multiple runs of possibly various computational heuristics. Given a set of partitions, CHAMP identifies the domain of modularity optimization for each partition-i.e., the parameter-space domain where it has the largest modularity rel...

It is surprising that the following question has not been addressed in the literature: what is the contragredient in terms of Langlands parameters? Thus suppose G is a connected, reductive algebraic group defined over a local field F , and G(F ) is its F -points. According to the local Langlands conjecture, associated to an admissible homomorphism φ from the WeilDeligne group of F into the L-gr...

A semianalytic partition of unity finite element method (PUFEM) is presented to solve the transient FokkerPlanck equation (FPE) for high-dimensional nonlinear dynamical systems. Meshless spatial discretization of the PUFEM is employed to develop linear ordinary differential equations for the time varying coefficients of the local shape functions. A similarity transformation to the modal coordin...

The lithography used for 32 nanometers and smaller VLSI process technologies restricts the interconnect widths and spaces to a very small set of admissible values. Until recently the sizes of interconnects were allowed to change continuously and the implied powerdelay optimal tradeoff could be formulated as a convex programming problem, for which classical search algorithms are applicable. Once...

Abstract We construct coloured lattice models whose partition functions represent symplectic and odd orthogonal Demazure characters atoms. show that our are not solvable, but we able to the existence of sufficiently many solutions Yang–Baxter equation allow us compute functional equations for corresponding functions. From these equations, determine function atoms Lie groups. coin as quasi-solva...

We combine supersymmetric localization and the conformal bootstrap to study fivedimensional superconformal field theories. To begin, we classify the admissible counterterms and derive a general relation between the five-sphere partition function and the conformal and flavor central charges. Along the way, we discover a new superconformal anomaly in five dimensions. We then propose a precise tri...

Permutation tests: conditional limit theorems and multivariate applications Helmut Strasser (Wien) In this talk limit theorems for the conditional distributions of linear test statistics are presented. The assertions are conditioned on the sigma-field of permutation symmetric sets. The limit theorems are concerned both with the conditional distributions under the hypothesis of randomness and un...

The existence of admissible vectors for a locally compact group is closely related to the group's profile. In the compact groups, according to Peter-weyl theorem, every irreducible representation has admissible vector. In this paper, the conditions under which the inverse of this case is being investigated has been investigated. Conditions such as views that are admissible and stable will get c...

Preliminary Version Using Feferman-Vaught techniques a condition on the ne spectrum of an admissible class of structures is found which leads to a rst-order 0{1 law. The condition presented is best possible in the sense that if it is violated then one can nd an admissible class with the same ne spectrum which does not have a rst-order 0{1 law. If the condition is satissed (and hence we have a r...

It is surprising that the following question has not been addressed in the literature: what is the contragredient in terms of Langlands parameters? Thus suppose G is a connected, reductive algebraic group defined over a local field F , and G(F ) is its F -points. According to the local Langlands conjecture, associated to a homomorphism φ from the Weil-Deligne group of F into the L-group of G(F ...