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1,097
RESEARCH STATEMENT
"... My research interests lie in combinatorics and discrete geometry and applications thereof. Typically, I am interested in problems which can be characterized by a lack of symmetry, and which instead require (hopefully weak) regularity assumptions. The technical focus of my research program has thus b ..."
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My research interests lie in combinatorics and discrete geometry and applications thereof. Typically, I am interested in problems which can be characterized by a lack of symmetry, and which instead require (hopefully weak) regularity assumptions. The technical focus of my research program has thus
Resolution Lower Bounds for the Weak Pigeonhole Principle
, 2001
"... We prove that any Resolution proof for the weak pigeon hole principle, with n holes and any number of pigeons, is of ), (for some global constant ffl ? 0). One corollary is that a certain propositional formulation of the statement NP 6ae P=poly does not have short Resolution proofs. ..."
Abstract

Cited by 46 (2 self)
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We prove that any Resolution proof for the weak pigeon hole principle, with n holes and any number of pigeons, is of ), (for some global constant ffl ? 0). One corollary is that a certain propositional formulation of the statement NP 6ae P=poly does not have short Resolution proofs.
Quantum logic and weak values
, 2013
"... In this study, we study weak values from a quantumlogical viewpoint. In addition, we examine the validity of the counterfactual statements of Hardy’s paradox, which are based on weak values, and we show that these statements have not been validated. It is also shown that strange weak values may onl ..."
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In this study, we study weak values from a quantumlogical viewpoint. In addition, we examine the validity of the counterfactual statements of Hardy’s paradox, which are based on weak values, and we show that these statements have not been validated. It is also shown that strange weak values may
RESEARCH STATEMENT
"... My research lies at the intersection of the elds of political economy, public economics, and applied econometrics. In recent decades, a vibrant literature in political economy has developed game theoretical models of the political process and has examined the role of various economic and political f ..."
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factors in the endogenous determination of policies. This theoretical literature, however, has in many cases outpaced empirical research in this area, and the link between the theoretical and empirical literatures has often been weak. Moreover, this political economy literature has often not been well
Research Statement
"... I have worked in logic and computation. My work in logic has involved formalizing finite combinatorics in the logical theory of Bounded Arithmetic (a weak subtheory of Peano Arithmetic). Within computation I have focused on computability over the real numbers, in particular, Computable Analysis and ..."
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I have worked in logic and computation. My work in logic has involved formalizing finite combinatorics in the logical theory of Bounded Arithmetic (a weak subtheory of Peano Arithmetic). Within computation I have focused on computability over the real numbers, in particular, Computable Analysis
Problem Statement
"... Common classes of pharmaceuticals include antibiotics, hormones, analgesics, antidepressants, antipyretics, and antipsychotics (FDA 2006). In any given community, all of these classes of pharmaceuticals are prescribed, sold, ingested, excreted, and disposed of. Drugs are intended to cure disease and ..."
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and their metabolites into the environment is not regulated and is, in fact, weakly understood. This proposal regards pharmaceuticals in the environment: the probability of their release by individual users, the quantities released, laws that could help constrain their release, and practices that could reduce
Research Statement
"... My research deals with designing and analyzing large systems that constantly need to meet scaling demands. Current large scale systems face a huge increase in information generated by consuming customers. Scaling such systems under different constraints can prove difficult. On one hand, using powerf ..."
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world now show some of their weaknesses and reengineering is required to improve or maintain performance in the new settings. One can only note that some of the most important techniques that have emerged break the layering paradigm by making decisions based on information available in other layers
Preliminary Statement
"... Some montmorillonites may be differentiated by eomplexing them with polyalcohols having a Ctt 2 group that is not connected to an oxygen atom. l~ontmorillonites with a low layer charge and high valence interlayer cations have larger basal spacings for their complexes than do those with a high layer ..."
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morilloait epolyalcohol complexes.The polyalcohol molecules probably are associated with the clay surface through weak Ctt 9 9 9 0 interactions although virtually no shortening of this bond distance occurs. The CH 9 9 9 0 interaction is enhanced by the presence of higher valence interlayer cations. Ott
Research Statement
"... have pursued one basic theme: emerging economies have domestic and external vulnerabilities and there are urgent needs for them to implement appropriate macroeconomic policies to prevent crises. The central goal of my research is to explore the processes with the potential to cause a crisis and anal ..."
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of the model reveals that the equilibrium probability of default for a given debttoGDP level is weakly increasing with the number of past defaults, consistent with empirical observations. Next, my research paper is triggered by stylized evidences that emerging countries issue a small
DEPENDENT CHOICES AND WEAK COMPACTNESS
"... ABSTRACT. We work in settheory without the Axiom of Choice ZF. We prove that the principle of Dependent Choices (DC) implies that the closed unit ball of a uniformly convex Banach space is weakly compact, and in particular, that the closed unit ball of a Hilbert space is weakly compact. These state ..."
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Cited by 2 (2 self)
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. These statements are not provable in ZF, and the latter statement does not imply DC. Furthermore, DC does not imply that the closed unit ball of a reflexive space is weakly compact.
Results 11  20
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1,097