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Open Access Publications from the University of California

Scholarly Works (205 results)

  • Article
  • Peer Reviewed
UC Irvine Previously Published Works (1998)
    Cover page: An ℵ1-dense ideal on ℵ2Creative Commons 'BY' version 4.0 license
    • Article
    • Peer Reviewed
    UC Irvine Previously Published Works (2015)
    We introduce a natural principle Strong Chang Reflection strengthening the classical Chang Conjectures. This principle is between a huge and a two huge cardinal in consistency strength. In this note we prove that it implies the existence of an inner model with a huge cardinal. The technique we explore for building inner models with huge cardinals adapts to show that decisive ideals imply the existence of inner models with supercompact cardinals. Proofs for all of these claims can be found in [10].1,2.
      Cover page: CHANG’S CONJECTURE, GENERIC ELEMENTARY EMBEDDINGS AND INNER MODELS FOR HUGE CARDINALSCreative Commons 'BY' version 4.0 license
      • Article
      LBL Publications (2011)
        Cover page: THE USE OF CHELATING AGENTS FOR ACCELERATING EXCRETION OF RADIOELEMENTS
        • Article
        • Peer Reviewed
        UC Irvine Previously Published Works (2020)
        In 1932, von Neumann proposed classifying the statistical behavior of differentiable systems. Joint work of B. Weiss and the author proved that the classification problem is complete analytic. Based on techniques in that proof, one is able to show that the collection of recursive diffeomorphisms of the 2-torus that are isomorphic to their inverses is -hard via a computable 1-1 reduction. As a corollary there is a diffeomorphism that is isomorphic to its inverse if and only if the Riemann Hypothesis holds, a different one that is isomorphic to its inverse if and only if Goldbach's conjecture holds and so forth. Applying the reduction to the Π01 sentence expressing "ZFC"is consistent gives a diffeomorphism T of the 2-torus such that the question of whether T ≅ T-1 is independent of ZFC.
          Cover page: GÖDEL DIFFEOMORPHISMSCreative Commons 'BY' version 4.0 license
          • Article
          • Peer Reviewed
          UC Irvine Previously Published Works (2019)
          The main result of this paper is that two large collections of er-godic measure preserving systems, the Odometer Based and the Circular Systems have the same global structure with respect to joinings that preserve underlying timing factors. The classes are canonically isomorphic by a contin-uous map that takes synchronous and anti-synchronous factor maps to synchronous and anti-synchronous factor maps, synchronous and anti-synchro-nous measure-isomorphisms to synchronous and anti-synchronous measure-isomorphisms, weakly mixing extensions to weakly mixing extensions and compact extensions to compact extensions. The first class includes all finite entropy ergodic transformations that have an odometer factor. By results in [6], the second class contains all transformations realizable as dif-feomorphisms using the untwisted Anosov–Katok method. An application of the main result will appear in a forthcoming paper [7] that shows that the diffeomorphisms of the torus are inherently unclassifiable up to measure-isomorphism. Other consequences include the existence of measure distal diffeomorphisms of arbitrary countable distal height.
            Cover page: From odometers to circular systems: A global structure theoremCreative Commons 'BY' version 4.0 license
            • Thesis
            • Peer Reviewed
            UC Berkeley Electronic Theses and Dissertations (2013)

            Policy makers are increasingly choosing market-based policies over command and control options. In this dissertation, I explore two instances of policy choices in environmental economics: a relatively novel market-based approach to handle congestion in transportation policy; and, government provision and control in the arena of water policy.

            The first chapter estimates the traffic volume and travel time effects of the recently implemented road congestion pricing on the San Francisco-Oakland Bay Bridge. I employ both a difference-in-differences and regression discontinuity approach to analyze previously unexploited data for the two years spanning the price change and obtain causal estimates of the hourly average treatment effects of the policy. I find evidence of peak spreading in traffic volume and significant decreases in travel time during peak hours. I also find suggestive evidence of substitution to a nearby bridge that is not subject to congestion pricing. In addition, I show significant decreases in travel time variability. Using my results, I calculate own- and cross-price elasticities for trips due to the toll change and include back-of-the-envelope calculations for the welfare effects of the policy.

            The second chapter I explore the impact of government water delivers in California's Central Valley. California's agricultural sector receives large quantities of irrigation water from the federal and state water projects. In recent years, there have been significant restrictions on these deliveries due to droughts and regulation to protect endangered species. This chapter empirically tests the hypothesis that higher deliveries to water districts in a given county lead to higher agricultural employment and cropped area and provides point estimates of this effect and uncertainty around the estimates. The results show robust evidence of a statistically and economically significant impact of irrigation water deliveries on employment and area. This effect is robust to different definitions of employment, alternate control groups, and different windows of data.

              Cover page: Essays in Environmental Economics
              • Article
              UC Irvine Previously Published Works (2022)
              The paper considers the equivalence relation of conjugacy-by-homeomorphism on diffeomorphisms of smooth manifolds. In dimension 2 and above it is shown that there is no Borel method of attaching complete numerical invariants. In dimension 5 and above it is shown that the equivalence relation is not Borel, and in fact is complete analytic.
                Cover page: Anti-classification results for smooth dynamical systems. Preliminary ReportCreative Commons 'BY' version 4.0 license
                • Article
                • Peer Reviewed
                UC Irvine Previously Published Works (2022)
                Construction sequences are a general method of building symbolic shifts that capture cut-and-stack constructions and are general enough to give symbolic representations of Anosov-Katok diffeomorphisms. We show here that any finite entropy system that has an odometer factor can be represented as the limit of a special class of construction sequences, the odometer based construction sequences. These naturally correspond to those cut-and-stack constructions that do not use spacers. The odometer based construction sequences can be constructed to have the small word property and every Choquet simplex can be realized as the simplex of invariant measures of the limit of an odometer based construction sequence.
                  Cover page: Odometer Based SystemsCreative Commons 'BY' version 4.0 license
                  • Article
                  • Peer Reviewed
                  UC Irvine Previously Published Works (2019)
                  This paper is the first of a series of papers culminating in the result that measure preserving diffeomorphisms of the disc or 2-torus are unclassifiable. It addresses another classical problem: which abstract measure preserving systems are realizable as smooth diffeomorphisms of a compact manifold? The main result gives symbolic representations of Anosov–Katok diffeomorphisms.
                    Cover page: A symbolic representation for Anosov–Katok systemsCreative Commons 'BY' version 4.0 license
                    • Article
                    • Peer Reviewed
                    UC Irvine Previously Published Works (2021)
                    In 1932 von Neumann proposed classifying the statistical behavior of differentiable systems. In modern language this is interpreted as classifying diffeomorphisms of compact manifolds up to measure isomorphism. This paper proves that this is impossible in a rigorous sense.
                      Cover page: Measure preserving diffeomorphisms of the torus are unclassifiableCreative Commons 'BY' version 4.0 license
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