Asymptotic Behaviour of Peanokernels of Fixed Order

This chapter examines word order variation and change in the high CP-domain of Hungarian embedded clauses containing the finite subordinating C head hogy ‘that’. It is argued that the complementizer hogy developed from an operator of the same morphophonological form, meaning ‘how’, and that its grammaticalization path develops in two steps. In addition to the change from an operator, located in a specifier, into a C head (specifier-to-head reanalysis), the fully grammaticalized complementizer hogy also changed its relative position on the CP-periphery, ultimately occupying the higher of two C head positions (upward reanalysis). Other complementizers that could co-occur with hogy in Old Hungarian eventually underwent similar reanalysis processes. Hence the possibility of accommodating two separate C heads in the left periphery was lost and variation in the relative position of complementizers was replaced by a fixed order.

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QCD at Fixed Order: Processes

10.1093/oso/9780199652747.003.0004 ◽

2018 ◽

Author(s):

John Campbell ◽

Joey Huston ◽

Frank Krauss

Keyword(s):

Hadron Collider ◽

Detailed Comparison ◽

Theoretical Description ◽

Higgs Bosons ◽

Final States ◽

Collider Physics ◽

Wide Range ◽

Theoretical Predictions ◽

Fixed Order ◽

The Subject

At the core of any theoretical description of hadron collider physics is a fixed-order perturbative treatment of a hard scattering process. This chapter is devoted to a survey of fixed-order predictions for a wide range of Standard Model processes. These range from high cross-section processes such as jet production to much more elusive reactions, such as the production of Higgs bosons. Process by process, these sections illustrate how the techniques developed in Chapter 3 are applied to more complex final states and provide a summary of the fixed-order state-of-the-art. In each case, key theoretical predictions and ideas are identified that will be the subject of a detailed comparison with data in Chapters 8 and 9.

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Asymptotic behaviour of sample weighted circuits representing recurrent Markov chains

Journal of Applied Probability ◽

10.1017/s0021900200039103 ◽

1990 ◽

Vol 27 (03) ◽

pp. 545-556 ◽

Cited By ~ 2

Author(s):

S. Kalpazidou

Keyword(s):

Markov Chain ◽

Markov Chains ◽

Asymptotic Behaviour ◽

Probabilistic Interpretation ◽

Stationary Markov Chain

The asymptotic behaviour of the sequence (𝒞 n (ω), wc,n (ω)/n), is studied where 𝒞 n (ω) is the class of all cycles c occurring along the trajectory ωof a recurrent strictly stationary Markov chain (ξ n ) until time n and wc,n (ω) is the number of occurrences of the cycle c until time n. The previous sequence of sample weighted classes converges almost surely to a class of directed weighted cycles (𝒞∞, ω c ) which represents uniquely the chain (ξ n ) as a circuit chain, and ω c is given a probabilistic interpretation.

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