We show that Perelman’s W functional on Kahler manifolds has a natural counterpart on Sasaki manifolds. We prove, using this functional, that Perelman’s results on Kahler-Ricci flow (the first Chern class is positive) can be generalized to Sasaki-Ricci flow, including the uniform bound on the diameter and the scalar curvature along the flow. We also show that positivity of transverse bisectiona...

The 1964 Columbia River Treaty between the United States and Canada is currently under review. Under the treaty, the river is jointly operated by the two countries for hydropower and is the largest producer of hydropower in the western hemisphere. In considering the next phase of international river governance, the degree of uncertainty surrounding the drivers of change complicates efforts to p...

We consider a multi-agent system where, at every time instant, many users choose to use one of multiple resources, whose performance depends on the number of concurrent users. In addition, a central agent has up-to-date knowledge of the congestion across all resources. What signals should the central agent broadcast to the individual users in order to reduce the total congestion? We model users...

For a scalar or vector parameter of interest with a regular statistical model, we determine the definitive null density for testing a particular value of the interest parameter: continuity gives uniqueness without reference to sufficiency but the use of full available information is presumed. We start with an exponential family model, that may be either the original model or an approximation to...

In this paper, we give sufficient conditions for the existence of a smooth singular value decomposition of a multi-parametric matrix function. This smoothness assumption has been considered in the recent paper [R. Behling, G. Haeser, A. Ramos, D. S. Viana, “On a conjecture in nonlinear optimization”, Optimization Online, 2016], where a second-order optimality condition has been proved under a w...

Numerical constraint problems occurs in numerous applications. Consistency techniques on finite domains have been adapted to handle continuous CSP(e.g. 2B-consistency, kBconsistency1, Box-consistency2, . . .). Roughly speaking, these local filtering methods compute an external approximation of the solution space. That is to say, intervals the bounds of which are local consistents. Thus, this ex...

In scalar fields, critical points (points with vanishing derivatives) are important indicators of the topology of iso-contours. When the data values are affected by uncertainty, the locations and types of critical points vary and can no longer be predicted accurately. In this paper, we derive, from a given uncertain scalar ensemble, measures for the likelihood of the occurrence of critical poin...

The Clustering project is a part of the STK++ library (Iovleff 2012) that can be accessed from R (R Development Core Team 2013) using the MixAll package. It is possible to cluster Gaussian, gamma, categorical, Poisson, kernel mixture models or a combination of these models in case of mixed data. Moreover, if there is missing values in the original data set, these missing values will be imputed ...

We investigate the possibility of obtaining non-singular black-hole solutions in the brane world model by solving the effective field equations for the induced metric on the brane. The Reissner-Nordstrom solution on the brane was obtained by Dadhich et al by imposing the null energy condition on the 3-brane for a bulk having non zero Weyl curvature. In this work, we relax the condition of vanis...

In the papers [B1] and [B2] we have established some conditions for the finitude of the Hausdorff h-measure of some set. Now, we shall determine a better minorant for this measure. 1 Definitions We denote by R the euclidean n dimensional space and by d(E) the diameter of a set E ⊂ R. Definition 1 If r0 > 0 is a fixed number, a continuous function h(r), defined on [0, r0) , nondecreasing and suc...