175,606 research outputs found

    Berliner Corset-Fabrik W & G Neumann, 90 eigene Spezialgeschäfte

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    BERLINER CORSET-FABRIK W & G NEUMANN, 90 EIGENE SPEZIALGESCHÄFTE Berliner Corset-Fabrik W & G Neumann, 90 eigene Spezialgeschäfte ( -

    Equilibrio competitivo y soportes del crecimiento en el modelo de Von Neumann

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    This paper shows the existence of a reproducible competitive equilibrium in the general Von Neumann growth model, extending in this way a result due to Roemer.

    Kochen-Specker theorem for von Neumann algebras

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    The Kochen-Specker theorem has been discussed intensely ever since its original proof in 1967. It is one of the central no-go theorems of quantum theory, showing the non-existence of a certain kind of hidden states models. In this paper, we first offer a new, non-combinatorial proof for quantum systems with a type I_n factor as algebra of observables, including I_infinity. Afterwards, we give a proof of the Kochen-Specker theorem for an arbitrary von Neumann algebra R without summands of types I_1 and I_2, using a known result on two-valued measures on the projection lattice P(R). Some connections with presheaf formulations as proposed by Isham and Butterfield are made

    Non-stationary von Neumann model with limit technology

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    W zdecydowanej większości prac z teorii magistral rozpatruje się stacjonarną gospodarkę ze stałą (niezmienna w czasie) technologią. Bardzo nieliczne są próby wyjścia poza „zaklęty krąg” stacjonarności i prześledzenia tzw. efektu magistrali w niestacjonarnej gospodarce Neumanna-Gale’a ze zmienną technologią. Zadanie to podjęto w artykule, w którym zaprezentowano „słabą” i „bardzo silną” wersję twierdzenia o magistrali w niestacjonarnej gospodarce von Neumanna z technologią zbieżną do pewnej technologii granicznej.The vast majority of papers on the turnpike theory consider a stationary economy with constant technology (over time). There are only few attempts to go beyond the „vicious circle” of stationarity and to trace the so called turnpike effect in a non-stationary Neumann-Gale economy with unstable technology. This article undertakes this task. In the paper „weak” and „very strong” versions of the turnpike theorem in a non-stationary von Neumann economy are presented, with the technology converging to a certain technology limit

    Neumann, W.

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    A Higher-Order Energy Expansion to Two-Dimensional Singularly Neumann Problems

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    Of concern is the following singularly perturbed semilinear elliptic problem \begin{equation*} \left\{ \begin{array}{c} \mbox{ϵ2Δuu+up=0{\epsilon}^2\Delta u -u+u^p =0 in Ω\Omega}\\ \mbox{u>0u>0 in Ω\Omega and uν=0\frac{\partial u}{\partial \nu}=0 on Ω\partial \Omega}, \end{array} \right. \end{equation*} where Ω\Omega is a bounded domain in RN{\mathbf{R}}^N with smooth boundary Ω\partial \Omega, ϵ>0\epsilon>0 is a small constant and 1<p<(N+2N2)+1< p<\left(\frac{N+2}{N-2}\right)_+. Associated with the above problem is the energy functional JϵJ_{\epsilon} defined by \begin{equation*} J_{\epsilon}[u]:=\int_{\Omega}\left(\frac{\epsilon^2}{2}{|\nabla u|}^2 +\frac{1}{2}u^2 -F(u)\right)dx \end{equation*} for uH1(Ω)u\in H^1(\Omega), where F(u)=0uspdsF(u)=\int_{0}^{u}s^p ds. Ni and Takagi (\cite{nt1}, \cite{nt2}) proved that for a single boundary spike solution uϵu_{\epsilon}, the following asymptotic expansion holds: \begin{equation*} (1) \ \ \ \ \ \ \ \ J_{\epsilon}[u_{\epsilon}]=\epsilon^{N} \left[\frac{1}{2}I[w]-c_1 \epsilon H(P_{\epsilon})+o(\epsilon)\right], \end{equation*} where I[w]I[w] is the energy of the ground state, c1>0c_1 >0 is a generic constant, PϵP_{\epsilon} is the unique local maximum point of uϵu_{\epsilon} and H(Pϵ)H(P_{\epsilon}) is the boundary mean curvature function at PϵΩP_{\epsilon}\in \partial \Omega. Later, Wei and Winter (\cite{ww3}, \cite{ww4}) improved the result and obtained a higher-order expansion of Jϵ[uϵ]J_{\epsilon}[u_{\epsilon}]: \begin{equation*} (2) \ \ \ \ \ \ J_{\epsilon}[u_{\epsilon}]=\epsilon^{N} \left[\frac{1}{2}I[\omega]-c_{1} \epsilon H(P_{\epsilon})+\epsilon^2 [c_2(H(P_\epsilon))^2 +c_{3} R(P_\epsilon)]+o(\epsilon^2)\right], \end{equation*} where c2c_2 and c3>0c_3>0 are generic constants and R(Pϵ)R(P_\epsilon) is the scalar curvature at PϵP_\epsilon. However, if N=2N=2, the scalar curvature is always zero. The expansion (2) is no longer sufficient to distinguish spike locations with same mean curvature. In this paper, we consider this case and assume that 2p<+ 2 \leq p <+\infty. Without loss of generality, we may assume that the boundary near P\in\partial\Om is represented by the graph {x2=ρP(x1)} \{ x_2 = \rho_{P} (x_1) \}. Then we have the following higher order expansion of Jϵ[uϵ]:J_\epsilon[u_\epsilon]: \begin{equation*} (3) \ \ \ \ \ J_\epsilon [u_\epsilon] =\epsilon^N \left[\frac{1}{2}I[w]-c_1 \epsilon H({P_\epsilon})+c_2 \epsilon^2(H({P_\epsilon}))^2 ] +\epsilon^3 [P(H({P_\epsilon}))+c_3S({P_\epsilon})]+o(\epsilon^3)\right], \end{equation*} where H(P_\ep)= \rho_{P_\ep}^{''} (0) is the curvature, P(t)=A1t+A2t2+A3t3P(t)=A_1 t+A_2 t^2+A_3 t^3 is a polynomial, c1c_1, c2c_2, c3c_3 and A1A_1, A2A_2,A3A_3 are generic real constants and S(P_\epsilon)= \rho_{P_\ep}^{(4)} (0). In particular c3<0c_3<0. Some applications of this expansion are given

    The electroporation hysteresis

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    Neumann E. The electroporation hysteresis. Ferroelectrics. 1988;86(1):325-333

    Irrational behavior in the Brown-von Neumann-Nash dynamics

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    We present a class of games with a pure strategy being strictly dominated by another pure strategy such that the former survives along most solutions of the Brown-von Neumann-Nash dynamics.Nash map, BNN dynamics, Dominated strategies

    Higher order energy expansions for some singularly perturbed Neumann problems

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    We consider the following singularly perturbed semilinear elliptic problem: \epsilon^{2} \Delta u - u + u^p=0 \ \ \mbox{in} \ \Omega, \quad u>0 \ \ \mbox{in} \ \ \Omega \quad \mbox{and} \ \frac{\partial u}{\partial \nu} =0 \ \mbox{on} \ \partial \Omega, where \Om is a bounded smooth domain in R^N, \ep>0 is a small constant and p is a subcritical exponent. Let J_\ep [u]:= \int_\Om (\frac{\ep^2}{2} |\nabla u|^2 + \frac{1}{2} u^2- \frac{1}{p+1} u^{p+1}) dx be its energy functional, where u \in H^1 (\Om). Ni and Takagi proved that for a single boundary spike solution u_\ep, the following asymptotic expansion holds J_\ep [u_\ep] =\ep^{N} \Bigg[ \frac{1}{2} I[w] -c_1 \ep H(P_\ep) + o(\ep)\Bigg], where c_1>0 is a generic constant, P_\ep is the unique local maximum point of u_\ep and H(P_\ep) is the boundary mean curvature function. In this paper, we obtain the following higher order expansion of J_\ep [u_\ep]: J_\ep [u_\ep] =\ep^{N} \Bigg[ \frac{1}{2} I[w] -c_1 \ep H(P_\ep) + \ep^2 [c_2 (H(P_\ep))^2 + c_3 R (P_\ep)]+ o(\ep^2)\Bigg], where c_2, c_3 are generic constants and R(P_\ep) is the Ricci scalar curvature at P_\ep. In particular c_3 >0. Applications of this expansion will be given

    Von Neumann equivalence and properly proximal groups

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    We introduce a new equivalence relation on groups, which we call von Neumann equivalence, and which is coarser than both measure equivalence and W*-equivalnce. We introduce a general procedure for inducing actions in this setting and use this to show that the class of properly proximal groups is closed in this equivalence relation. In particular, proper proximality is preserved under both measure equivalence and W*-equivalence, and from this we obtain examples of non-inner amenable groups which are not properly proximal. This is based on joint work with Ishan Ishan and Jesse Peterson.Non UBCUnreviewedAuthor affiliation: University of VanderbiltPostdoctora
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