We show that for every non-negative integer n, there is a real ndimensional family of minimal Lagrangian tori in CP, and hence of special Lagrangian cones in C whose link is a torus. The proof utilises the fact that such tori arise from integrable systems, and can be described using algebro-geometric (spectral curve) data.

We prove that any countable family of Lagrangian subspaces of a symplectic Hilbert space admits a common complementary Lagrangian. The proof of this puzzling result, which is not totally elementary also in the finite dimensional case, is obtained as an application of the spectral theorem for unbounded self-adjoint operators.

the present checklist is a compilation of the eupodoid mites of iran using published records and original data from recent researches. it contains 19 species belonging to 13 genera and five families. family cocceupodidae jesionowska, 2010 (because of moving the genera to a new family) and two species i.e. foveacheles (foveacheles) cegetensis zacharda, 1983 and linopodes antennaepes banks, 1894 ...

The paper deals with the economic dispatch problem for a district heating system. The distribution network is modeled with a number of nodes and arcs, implying that time delays and restrictions in distribution capacity can be considered. A solution algorithm for the corresponding nonlinear optimization problem is proposed. The method is based on Lagrangian relaxation and exploits the relations ...

Livedonorkidney transplantation (LDKT) is a superior option for most patients with ESRD compared with dialysis anddeceaseddonorkidney transplantation (1). Much effort occurs in transplant and nephrology communities to educate and advocate for early transplant referral and live donor transplantation. Despite this, LDKT rates are declining annually (2). Reasons are multifactorial; however, practi...

In this article, we prove two formulas for the topological entropy of an F-optical Hamiltonian flow induced by H ∈ C∞(M, R), where F is a Lagrangian distribution. In these formulas, we calculate the topological entropy as the exponential growth rate of the average of the determinant of the differential of the flow, restricted to the Lagrangian distribution or to a proper modification of it.

The unimodal distributions are frequently used in the theorical statistical studies. But in applied statistics, there are many situations in which the unimodal distributions can not be fitted to the data. For example, the distribution of the data outside the control zone in quality control or outlier observations in linear models and time series may require to be a bimodal. These situations, oc...

Abstract. The recently developed theory of Lagrangian flows for transport equations with low regularity coefficients enables to consider non BV vector fields. We apply this theory to prove existence and stability of global Lagrangian solutions to the repulsive Vlasov-Poisson system with only integrable initial distribution function with finite energy. These solutions have a well-defined Lagrang...