Sung Bin Oh

Consider a 2-dimensional smooth Riemannian manifold $M$, and let $P(h)$ be a semiclassical pseudodifferential operator on $M$. Assume that $f = f(h)$ is an $O(h)$ quasimode of $P(h)$ localized in phase space. In this work, we establish sharp $L^p$ restriction estimates for quasimodes for all smooth curves in two dimensions. As an application, we address $L^p$ restriction eigenfunction estimates for Laplace eigenfunctions on compact Riemannian manifolds and Hermite functions on $\mathbb R^2$. Our method involves a geometric analysis of the contact order between the curve and the bicharacteristic flow of $P(h)$.

The Proceedings of the 2003 SLAC Workshops on flavor physics with a high luminosity asymmetric e+e- collider. The sensitivity of flavor physics to physics beyond the Standard Model is addressed in detail, in the context of the improvement of experimental measurements and theoretical calculations.

Reed-Muller (RM) codes achieve the capacity of general binary-input memoryless symmetric channels and are conjectured to have a comparable performance to that of random codes in terms of scaling laws. However, such results are established assuming maximum-likelihood decoders for general code parameters. Also, RM codes only admit limited sets of rates. Efficient decoders such as successive cancellation list (SCL) decoder and recently-introduced recursive projection-aggregation (RPA) decoders are available for RM codes at finite lengths. In this paper, we focus on subcodes of RM codes with flexible rates. We first extend the RPA decoding algorithm to RM subcodes. To lower the complexity of our decoding algorithm, referred to as subRPA, we investigate different approaches to prune the projections. Next, we derive the soft-decision based version of our algorithm, called soft-subRPA, that not only improves upon the performance of subRPA but also enables a differentiable decoding algorithm. Building upon the soft-subRPA algorithm, we then provide a framework for training a machine learning (ML) model to search for good sets of projections that minimize the decoding error rate. Training our ML model enables achieving very close to the performance of full-projection decoding with a significantly smaller number of projections. We also show that the choice of the projections in decoding RM subcodes matters significantly, and our ML-aided projection pruning scheme is able to find a good selection, i.e., with negligible performance degradation compared to the full-projection case, given a reasonable number of projections.

Two new macrocyclic secondary metabolites, glycosyl-migrastatin (1) and 5-hydroxy-migrastatin (2), were isolated from a gut bacterium Kitasatospora sp. JL24 in dung beetle Onthophagus lenzii. Based on a comprehensive analysis of the nuclear magnetic resonance (NMR), MS, and UV spectroscopic data, the planar structures of 1 and 2 were successfully identified as new derivatives of migrastatin. Compound 1 was the first glycosylated member of the migrastatin family. The absolute configuration of the sugar moiety was determined to be d-glucose through the analysis of coupling constants and ROESY correlations, followed by chemical derivatization and chromatographic comparison with authentic d- and l-glucose. Compound 2, identified as 5-hydroxy-migrastatin possessing an additional hydroxy group with a previously unreported chiral center, was assigned using Mosher's method through 19F NMR chemical shifts and confirmed with the modified Mosher's method. Genomic analysis of Kitasatospora sp. strain JL24 revealed a putative biosynthetic pathway involving an acyltransferase-less type I polyketide synthase biosynthetic gene cluster.Two secondary metabolites, glycosyl-migrastatin (1) and 5-hydroxy-migrastatin (2), were discovered from the gut bacterium Kitasatospora sp. JL24 in the dung beetle Onthophagus lenzii.

The Prisoner’s Dilemma, a representative example of game theory, is a classic game in which two players receive rewards based on two action strategies(cooperation or defection). However, many variations have been made depending onchanges in conditions(number of participants, behavioral strategies, reward values, number of games, etc.). In this study, an extended Prisoner’s Dilemma game was used in which a genetic algorithm was applied to the iterative Prisoner’sDilemma game to improve the selection probability function to determine which action strategy should be selected according to changes in reward value. A possible SPS(selection probability strategy) was developed. As a result of theprogram simulation, this SPS ranked high in the early stages, showed good performance, and was generally a dominant strategy that survived until the final stage. This study is significant in that it suggests the possibility of developing a new strategy in the Prisoner’s Dilemma game and reaffirms existing strategies that are generally effective.

The main technical challenge in the design of the prompt neutrino beam is the magnetized muon shield. Two satisfactory alternate designs have been developed for such a shield during this past year and the background muon fluxes have been calculated by three independent programs at Columbia, Fermilab, and MIT. The background muon fluxes have been calculated to be satisfactory in all of the detectors that might use the beam. In Section III of this report we describe in detail the three Monte Carlo programs used in these calculations. In Section IV we give the details of the flux calculations for the E-613 shield and the comparisons with the observed fluxes with various configurations of that shield. In Section V we describe the designs that have been developed for the neutrino area shield. In Section VI we discuss the problem of proton beam transport losses and the associated muon fluxes. Finally, in Section VII a comparison of the two solutions is made which covers cost, effectiveness, schedule and responsiveness to future unknowns. We conclude that there are not overwhelming reasons for the choice of one design over the other. However, for a variety of secondary reasons the superconducting design offers advantages. We therefore propose the construction of the prompt neutrino facility with the superconducting magnet design.