We reduce here end-point estimates for one singular operator (namely for dyadic square function) to Monge–Ampère equations with drift. The spaces are weighted spaces, and therefore the domain, where we solve our PDE is non-convex. If we are in the end-point situation our goal is either to find a logarithmic blow-up of the norm estimate from below, or to prove that there is upper estimate of the...

Defining a feasible notion of space over the Blum-Shub-Smale (BSS) model of algebraic computation is a long standing open problem. In an attempt to define a right notion of space complexity for the BSS model, Naurois [CiE, 2007] introduced the notion of weak-space. We investigate the weak-space bounded computations and their plausible relationship with the classical space bounded computations. ...

This paper examines the extent to which a decline in market power could have contributed to the general decline in inflation rates experienced in developed countries during the 1990s. *Staff economist of the Division of International Finance of the Federal Reserve Board. Email: [email protected]. I wish to thank Jon Faust, Steve Kamin, and Jeremy Rudd for valuable comments. This paper repr...

Cross country studies of in‡ation di¤erentials, and in particular in the EMU, have focused on three main explanations: (i) the role of tradable and nontradable sector productivity growth di¤erentials and the BalassaSamuelson e¤ect, (ii) the role of the demand-side e¤ects, and (iii) heterogeneity of in‡ationary processes inside the EMU. To understand the role played by each feature in shaping in...

a log-domain current-mode true rms-to-dc converter based on a novel synthesis of a simplified current-mode low pass filter and a two-quadrant squarer/divider is presented. the circuit employs floating gate mos (fg-mos) transistors operating in weak inversion region. the converter features low power(<1.5uw), low supply voltage (0.9v), two quadrant input current, immunity from body effect, low ci...

Given a olle tion of boolean spatial features, the o-lo ation pattern dis overy pro ess nds the subsets of features frequently lo ated together. For example, the analysis of an e ology dataset may reveal the frequent o-lo ation of a re ignition sour e feature with a needle vegetation type feature and a drought feature. The spatial o-lo ation rule problem is di erent from the asso iation rule pr...

We study the complexity of approximation for a weighted counting constraint satisfaction problem #CSP(F). In the conservative case, where F contains all unary functions, a classification is known for the Boolean domain. We give a classification for problems with general finite domain. We define weak log-modularity and weak log-supermodularity, and show that #CSP(F) is in FP if F is weakly log-m...

When sequentially separating a linear combination of co-channel digital signals, it is necessary at each step to test the validity of the currently estimated signal prior to proceeding to extract the next one. We describe a procedure for use with sequential algorithms which uses a de ation-based approach combined with a simple test statistic. The de ation step removes the contributions of the c...