Using Derivatives of Second Generating Function for Underdetermined Blind Identification
Sign Up to like & getrecommendations! Published in 2020 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-020-01385-y
Abstract: In this paper, we propose a new family of algorithms for underdetermined blind identification based on the second generating function (SGF). For the real case, the proposed algorithm first takes advantage of the partial derivatives… read more here.
Keywords: blind identification; generating function; underdetermined blind; second generating ... See more keywords
Exact solutions for M/M/c/Setup queues
Sign Up to like & getrecommendations! Published in 2017 at "Telecommunication Systems"
DOI: 10.1007/s11235-016-0177-z
Abstract: Recently multiserver queues with setup times have been extensively studied because they have applications in power-saving data centers. A challenging model is the M/M/c/Setup queue where a server is turned off when it is idle… read more here.
Keywords: setup queues; generating function; joint stationary; approach ... See more keywords
On the exponential generating function for non-backtracking walks
Sign Up to like & getrecommendations! Published in 2018 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2018.07.010
Abstract: We derive an explicit formula for the exponential generating function associated with non-backtracking walks around a graph. We study both undirected and directed graphs. Our results allow us to derive computable expressions for non-backtracking versions… read more here.
Keywords: exponential generating; function non; non backtracking; generating function ... See more keywords
The moment generating function of pairwise velocity in the context of redshift space distortion
Sign Up to like & getrecommendations! Published in 2021 at "Research in Astronomy and Astrophysics"
DOI: 10.1088/1674-4527/21/2/28
Abstract: We study the connections between the pairwise velocity moment generating function G(k ∥, r) and redshift space distortion (RSD) modeling. Here k ∥ is the Fourier wavevector parallel to the line of sight, and r… read more here.
Keywords: redshift space; moment generating; space distortion; generating function ... See more keywords
Binary dynamics from worldline QFT for scalar QED
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review D"
DOI: 10.1103/physrevd.107.085011
Abstract: We investigate the worldline quantum field theory (WQFT) formalism for scalar-QED and observe that a generating function emerges from WQFT, from which the scattering angle ensues. This generating function bears important similarities with the radial… read more here.
Keywords: qed; worldline qft; generating function; binary dynamics ... See more keywords
All-order resurgence from complexified path integral in a quantum mechanical system with integrability
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review D"
DOI: 10.1103/physrevd.107.105011
Abstract: We discuss all-order transseries in one of the simplest quantum mechanical systems: a U(1) symmetric single-degree-of-freedom system with a first-order time derivative term. Following the procedure of the Lefschetz thimble method, we explicitly evaluate the… read more here.
Keywords: system; path integral; quantum mechanical; resurgence ... See more keywords
Exact Anomalous Current Fluctuations in a Deterministic Interacting Model.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.128.160601
Abstract: We analytically compute the full counting statistics of charge transfer in a classical automaton of interacting charged particles. Deriving a closed-form expression for the moment generating function with respect to a stationary equilibrium state, we… read more here.
Keywords: charge; anomalous current; generating function; current fluctuations ... See more keywords
Non-Asymptotic Bounds of Cumulant Generating Function of Codeword Lengths in Variable-Length Lossy Compression
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3229358
Abstract: This paper investigates the problem of variable-length source coding with the criteria of the normalized cumulant generating function of codeword lengths and the excess distortion probability. We analyze the non-asymptotic fundamental limit of the normalized… read more here.
Keywords: non asymptotic; cumulant generating; codeword lengths; function codeword ... See more keywords