We develop non-invertible Pesin theory for a new class of maps called cusp maps. These maps may have unbounded derivative, but nevertheless verify a property analogous to C. We do not require the critical points to verify a non-flatness condition, so the results are applicable to C maps with flat critical points. If the critical points are too flat, then no absolutely continuous invariant proba...

We study Bernoulli percolations on random lattices of the half-plane obtained as local limit of uniform planar triangulations or quadrangulations. Using the characteristic spatial Markov property or peeling process [5] of these random lattices we prove a surprisingly simple universal formula for the critical threshold for bond and face percolations on these graphs. Our techniques also permit us...

It is shown that two arbitrary equilibria in the general equilibrium model without sign restrictions on endowments can be joined by a continuous equilibrium path that contains at most two critical equilibria. This property is strengthened by showing that regular equilibria having an index equal to 1, a necessary condition for stability, can be joined by a path containing no critical equilibrium...

We prove that for the L-critical nonlinear Schrödinger equations, the wave operators and their inverse are related explicitly in terms of the Fourier transform. We discuss some consequences of this property. In the onedimensional case, we show a precise similarity between the L-critical nonlinear Schrödinger equation and a nonlinear Schrödinger equation of derivative type.

right of private property is of the most important individual rights of society that lies in the heart of private law. in islamic law protection of property as one of the five goals of fighhe, that is, protection of sagacity, religion, generation and self, is to be stipulated. based on article 140 of civil code the process of property acquisition is restricted to four cases. on the other hand, ...

for the polynomial planar vector fields with a hyperbolic or nilpotent critical point at the origin, the monodromy problem has been solved, but for the strongly degenerate critical points this problem is still open. when the critical point is monodromic, the stability problem or the center- focus problem is an open problem too. in this paper we will consider the polynomial planar vector fields ...

A set C can be strongly coded under condition < B, C(A) >, where B and C are classes of sets possibly with other parameters, iff there exists A ∈ B such that every Z ∈ C(A) can be used to compute C. The issue is widely studied especially in effective mathematics and reverse mathematics. In this paper, we focus on three kinds of conditions, namely, density condition, enumeration condition and pa...

Coping with threats such as terrorism, crime, natural hazards or industrial accidents requires early detection and correct assessment of critical situations, followed by appropriate actions to avoid potential damage to person or property. We here focus on threat prevention in closed properties of traffic infrastructures (railway stations, harbours, airports) or logistics centres. To early detec...

Hedonic property price models have been used extensively in the economics literature to measure the value households place on locating properties close to a given resource, such as a beach, river, or lake. This proximity premium consists of two components. First, property owners derive benefit from living close to the resource for access purposes. Second, they also derive benefit from the view ...

■ Abstract This paper presents a critical assessment of the field of common property. After discussing briefly the major findings and accomplishments of the scholarship on the commons, the paper pursues two strategies of critique. The first strategy of friendly critique accepts the basic assumptions of most writings on common property to show that scholars of commons have discovered far more va...