This work introduces the class of generalized tempered stable processes which encompass variations on tempered stable processes that have been introduced in the field, including “modified tempered stable processes [8],” “layered stable processes [6],” and “Lamperti stable processes [3].” Short and long time behavior of GTS Lévy processes is characterized and the absolute continuity of GTS proce...

Suppose that G(F) is a real or p-adic group. That is, G is a connected reductive algebraic group over a local field F, which we take to be of characteristic 0. Harmonic analysis on G(F) is built upon the set Htemp(G(F)) of irreducible tempered representations of G(F). These representations include the discrete series for G(F), and consist in general of irreducible constituents of representation...

The microstructure characterization of tempered nanocrystalline bainitic steel is investigated in the present study. It is found that two types of plastic relaxation, dislocation debris and nanotwin, occurs in the displacive transformation due to relatively low transformation temperature and high carbon content. Because most carbon atoms trap in the dislocation, high dislocation density can be ...

Tempered fractional stable motion adds an exponential tempering to the power-law kernel in a linear fractional stable motion, or a shift to the power-law filter in a harmonizable fractional stable motion. Increments from a stationary time series that can exhibit semi-long-range dependence. This paper develops the basic theory of tempered fractional stable processes, including dependence structu...

Generative adversarial networks (GANs) have been shown to produce realistic samples from high-dimensional distributions, but training them is considered hard. A possible explanation for training instabilities is the inherent imbalance between the networks: While the discriminator is trained directly on both real and fake samples, the generator only has control over the fake samples it produces ...

According to prioritarianism, the only thing that improves a state of affairs is improvements in well-being. In this, prioritarianism agrees with many traditional axiologies, including classical utilitarianism. Distinctive about prioritarianism, however, is its weighting. Simply put, all welfare benefits improve a state of affairs, but benefits to worse-off persons improve states of affairs mor...

We give a simple proof of the Kernel theorem for the space of tempered ultradistributions of Beurling Komatsu type, using the characterization of Fourier-Hermite coefficients of the elements of the space. We prove in details that the test space of tempered ultradistributions of Beurling Komatsu type can be identified with the space of sequences of ultrapolynomal falloff and its dual space with ...

We develop the theory of the tempered anabelian and Frobenioid-theoretic aspects of the “étale theta function”, i.e., the Kummer class of the classical formal algebraic theta function associated to a Tate curve over a nonarchimedean local field. In particular, we consider a certain natural “environment” for the study of the étale theta function, which we refer to as a “mono-theta environment”, ...

This work presents the effect of various wear environments like 20% soil & 80% sand and 40% soil & 60% sand on as received and carburized mild steel sample at different load like 75N, 200N & 375N and at different tempering temperature like 200oC, 250oC & 300oC. The mild steel sample was carburized at 950oC. The heat treatment after carburization has been acknowledge that at some instant it impr...