Xin Sun

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This paper presents a new consequentialist deontic logic in which the relation of preference over sets of possible worlds and the relation of conditional dominance are both transitive. This logic validate the principle that absolute ought can be derived from conditional ought whenever the conditional statement is the agent's absolute ought. Ought about(More)
For N = n(log n) 1 4 , on the ball in Z 4 with radius N we construct a ±1 spin model coupled with the wired spanning forests. We show that as n → ∞ the spin field has bi-Laplacian Gaussian field on R 4 as its scaling limit. For d ≥ 5, the model can be defined on Z d directly without the N-cutoff. The same scaling limit result holds. Our proof is based on(More)
We discuss a family of random fields indexed by a parameter s ∈ R which we call the fractional Gaussian fields, given by FGFs(R d) = (−Δ) −s/2 W, where W is a white noise on R d and (−Δ) −s/2 is the fractional Lapla-cian. These fields can also be parameterized by their Hurst parameter H = s − d/2. In one dimension, examples of FGFs processes include(More)
A linguistic analysis of deontic paradoxes can be used to further develop deontic logic. In this paper we provide a Beth-Reichenbach semantics to analyze deontic paradoxes, and we illustrate it on the single agent decision problem of the miners scenario. We also introduce extensions with reactive arrows and actions, which can be used to give a linguistic(More)
The aim of this article is to construct a deontic logic in which the free choice postulate [11] would be consistent and all the implausible result mentioned in [5] will be blocked. To achieve this we first developed a new theory of action. Then we build a new deontic logic in which the deontic action operator and the deontic proposition operator are(More)
J o u r n a l o f P r o b a b i l i t y Electron. Abstract Consider random symmetric Toeplitz matrices Tn = (ai−j) n i,j=1 with matrix entries (homogeneity of 4-th moments) κ = E[|aj| 4 ], and further (uniform boundedness) sup j≥0 E[|aj| k ] = C k < ∞ for k ≥ 3. Under the assumption of a0 ≡ 0, we prove a central limit theorem for linear statistics of(More)
Aflatoxin is a natural potent carcinogen and a major cause of liver cancer. However, the molecular mechanisms of hepatocellular carcinogenesis remain largely unexplored. In this study, we profiled global gene expression in liver tissues of rats that developed hepatocellular carcinoma (HCC) from aflatoxin B1 (AFB1) administration and those that were(More)
Domestic cats exhibit abundant variations in tail morphology and serve as an excellent model to study the development and evolution of vertebrate tails. Cats with shortened and kinked tails were first recorded in the Malayan archipelago by Charles Darwin in 1868 and remain quite common today in Southeast and East Asia. To elucidate the genetic basis of(More)