Search Results - "Fibich, Gadi"
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Singular solutions of the subcritical nonlinear Schrödinger equation
Published in Physica. D (01-06-2011)“…We show that the subcritical d -dimensional nonlinear Schrödinger equation i ψ t + Δ ψ + | ψ | 2 σ ψ = 0 , where 1 < σ d < 2 , admits smooth solutions that…”
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Averaging principle for second-order approximation of heterogeneous models with homogeneous models
Published in Proceedings of the National Academy of Sciences - PNAS (27-11-2012)“…Typically, models with a heterogeneous property are considerably harder to analyze than the corresponding homogeneous models, in which the heterogeneous…”
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3
Self-similar optical wave collapse: observation of the Townes profile
Published in Physical review letters (23-05-2003)“…Analyses of many different types of nonlinear wave equations indicate that a collapsing wave will transform into a universal blowup profile regardless of its…”
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4
The diffusion of legal innovation- insights from mathematical modeling
Published in Cornell international law journal (01-09-2019)“…Do countries adopt legal rules due to independent, top-down processes, or do laws spread among nations in a manner that resembles the diffusion of new products…”
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Theory of singular vortex solutions of the nonlinear Schrödinger equation
Published in Physica. D (01-11-2008)“…We present a systematic study of singular vortex solutions of the critical and supercritical two-dimensional nonlinear Schrödinger equation. In particular, we…”
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Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrodinger Equation in Critical Dimension
Published in SIAM journal on applied mathematics (1999)“…The formation of singularities of self-focusing solutions of the nonlinear Schrodinger equation (NLS) in critical dimension is characterized by a delicate…”
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Optimal price promotion in the presence of asymmetric reference-price effects
Published in Managerial and decision economics (01-09-2007)“…In this study we demonstrate how a reference price may affect the degree of price rigidity/flexibility. For this, we construct a model of reference-price…”
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Percolation of new products
Published in Physica A (15-02-2020)“…In most models of diffusion of new products, every individual in the social network is a potential adopter. When, however, a fraction α of the individuals…”
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Percolation of new products
Published in Physica A (01-02-2020)“…Not provided…”
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Asymmetric First-Price Auctions--A Perturbation Approach
Published in Mathematics of operations research (01-11-2003)“…We use perturbation analysis to obtain explicit approximations of the equilibrium bids in asymmetric first-price auctions with n bidders, in which bidders'…”
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DIFFUSION OF NEW PRODUCTS WITH RECOVERING CONSUMERS
Published in SIAM journal on applied mathematics (01-01-2017)“…We consider the diffusion of new products in the discrete Bass-SIR model, in which consumers who adopt the product can later "recover" and stop influencing…”
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Proof of a Spectral Property related to the singularity formation for the critical nonlinear Schrödinger equation
Published in Physica. D (01-08-2006)Get full text
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13
Loss of phase and universality of stochastic interactions between laser beams
Published in Optics express (02-10-2017)“…Traditionally, interactions between laser beams or filaments were considered to be deterministic. We show, however, that in most physical settings, these…”
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Aggregate Diffusion Dynamics in Agent-Based Models with a Spatial Structure
Published in Operations research (01-09-2010)“…We explicitly calculate the aggregate diffusion dynamics in one-dimensional agent-based models of adoption of new products, without using the mean-field…”
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15
Optimal Three-Part Tariff Plans
Published in Operations research (01-09-2017)“…Service providers, such as cell phone carriers, often offer three-part tariff plans that consist of three levers: A fixed fee, an allowance of free units, and…”
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16
Numerical simulations of asymmetric first-price auctions
Published in Games and economic behavior (01-11-2011)“…The standard method for computing the equilibrium strategies of asymmetric first-price auctions is the backward-shooting method. In this study we show that the…”
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17
Loss of physical reversibility in reversible systems
Published in Physica. D (01-09-2020)“…A dynamical system is said to be reversible if, given an output, the input can always be recovered in a well-posed manner. Nevertheless, we argue that…”
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18
Singular solutions of the subcritical nonlinear Schroedinger equation
Published in Physica. D (15-06-2011)“…We show that the subcritical d-dimensional nonlinear Schroedinger equation [inline image], where 1[sigma]d2, admits smooth solutions that become singular in…”
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LARGE ASYMMETRIC FIRST-PRICE AUCTIONS—A BOUNDARY-LAYER APPROACH
Published in SIAM journal on applied mathematics (01-01-2015)“…The inverse equilibrium bidding strategies $\left\{{\mathrm{\upsilon }}_{\mathrm{i}}\right(\mathrm{b}){\}}_{\mathrm{i}=1}^{\mathrm{n}}$ in a first-price…”
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20
Asymmetric First-Price Auctions-A Dynamical-Systems Approach
Published in Mathematics of operations research (01-05-2012)“…We introduce a new approach for analysis and numerical simulations of asymmetric first-price auctions, which is based on dynamical systems. We apply this…”
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