. . . . . . . . . . . . . . . . . . . . . . ix Possible lecture schedules . . . . . . . . . . . . . . x Acknowledgments . . . . . . . . . . . . . . . . . . xi Chapter

We give a relatively short and self contained proof of Ratner’s theorem in the special case of SL(2, R)-invariant measures.

This work is devoted to the derivation of novel analytic results for special functions which are particularly useful in wireless communication theory. Capitalizing on recently reported series representations for the Nuttall Q−function and the incomplete Toronto function, we derive closed-form upper bounds for the corresponding truncation error of these series as well as closed-form upper bounds...

Abstract Laura Nuttall and Christopher Berry review the potential of multimessenger astronomy with gravitational-wave observations

the objective of this paper is to deal with the fuzzy conic program- ming problems. the aim here is to derive weak and strong duality theorems for a general fuzzy conic programming. toward this end, the convexity-like concept of fuzzy mappings is introduced and then a speci c ordering cone is established based on the parameterized representation of fuzzy numbers. un- der this setting, duality t...

 Many Limit Theorems, Convergence Theorems and Characterization Theorems in Probability and Statistics, in particular those related to normal distribution , are based on the assumption of independence of two or more random variables. However, the full power of independence is not used in the proofs of these Theorems, since it is the distribution of summation of the random variables whic...