We reconsider the principles of diminishing transfer (introduced by Kolm (1976)) and dual diminishing transfer (introduced by Mehran (1976)). It appears that if a Rank Dependent Expected Utility (RDEU) maximizer respects the principle of diminishing (resp. dual diminishing) transfer, then he behaves in accordance with the Expected Utility model (resp. Yaari’s dual model). This leads us to defin...

We show that supercompactness and strong compactness can be equivalent even as properties of pairs of regular cardinals. Specifically, we show that if V |= ZFC + GCH is a given model (which in interesting cases contains instances of supercompactness), then there is some cardinal and cofinality preserving generic extension V [G] |= ZFC + GCH in which, (a) (preservation) for κ ≤ λ regular, if V |...

A b s t r a c t We predict a strikingly different A and Q 2 dependence of quasielastic leptoproduction of the ρ 0 (1S)-meson and its radial excitation ρ ′ (2S) on nuclei. Whereas for the ρ 0 production nuclear transparency T A decreases monotonically with A, for the ρ ′ nuclear transparency T A can have the counterintuitive nonmonotonic A-dependence, having the minimum for light nuclei, and inc...

Recently Umirbaev has proved the long-standing Anick conjecture, that is, there exist wild automorphisms of the free associative algebra K〈x, y, z〉 over a field K of characteristic 0. In particular, the well-known Anick automorphism is wild. In this article we obtain a stronger result (the Strong Anick Conjecture that implies the Anick Conjecture). Namely, we prove that there exist wild coordin...

Let E be a real Banach space, K a closed convex nonempty subset of E, and T1,T2, . . . ,Tm : K → K asymptotically quasi-nonexpansive mappings with sequences (resp.) {kin}n=1 satisfying kin → 1 as n → ∞, and ∑∞ n=1(kin − 1) < ∞, i = 1,2, . . . ,m. Let {αn}n=1 be a sequence in [ , 1− ], ∈ (0,1). Define a sequence {xn} by x1 ∈ K , xn+1 = (1− αn)xn + αnT n 1 yn+m−2, yn+m−2 = (1− αn)xn + αnT 2 yn+m−...

Recently Swatee Naik and Theodore Stanford proved that two Sequivalent knots are related by a finite sequence of doubled-delta moves on their knot diagrams. We show that classical S-equivalence is not sufficient to extend their result to ordered links. We define a new algebraic relation on Seifert matrices, called Strong S-equivalence, and prove that two oriented, ordered links L and L are rela...

We consider a new type of monotone nonexpansive mappings in an ordered Banach space X with partial order . This new class of nonlinear mappings properly contains nonexpansive, firmly-nonexpansive and Suzuki-type generalized nonexpansive mappings and partially extends α-nonexpansive mappings. We obtain some existence theorems and weak and strong convergence theorems for the Mann iteration. Some ...

We performed a large-scale crawl of the World Wide Web, covering 6.9 Million domains, including all high-traffic sites of the Internet. We present a study of the correlations found between quantities measuring the structural relevance of each node in the network (the inand out-degree, the local clustering coefficient, the first-neighbor in-degree and the Alexa rank). We find that some of these ...

Classical chaotic systems with symbolic dynamics but strong pruning present a particular challenge for the application of semiclassical quantization methods. In the present study we show that the technique of periodic orbit quantization by harmonic inversion of trace formulae, which does not rely on the existence of a complete symbolic dynamics or other specific properties, lends itself ideally...

Recall that two ergodic probability measure preserving (p.m.p.) actions σi for i = 1, 2 of two countable groups Γi on probability measure standard Borel spaces (Xi, μi) are orbit equivalent (OE) if they define partitions of the spaces into orbits that are isomorphic, more precisely, if there exists a measurable, almost everywhere defined isomorphism f : X1 → X2 such that f∗μ1 = μ2 and the Γ1-or...