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On signal reconstruction without phase
Frame Signal reconstruction Phase Speech recognition
2015/9/29
We will construct new classes of Parseval frames for a Hilbert space which allow signal reconstruction from theabsolute value of the frame coefficients. As a consequence, signal reconstruction can be ...
Energy-Efficient Resource Allocation in Wireless Networks with Quality-of-Service Constraints
Energy efficiency delay quality of service game theory Nash equilibrium power and rate control admission control cross-layer design
2015/9/29
A game-theoretic model is proposed to study the cross-layer problem of joint power and rate control with quality of service (QoS) constraints in multiple-access networks. In the proposed game, each us...
Painless Reconstruction from Magnitudes of Frame Coefficients
Frames Reconstruction without phase Projective 2-designs
2015/9/29
The goal of this paper is to develop fast algorithms for signal reconstruction from magnitudes of frame coefficients.This problem is important to several areas of research in signal processing, especi...
FRAMES AND PHASELESS RECONSTRUCTION AMS SHORT COURSE:JOINT MATHEMATICS MEETINGS SAN ANTONIO,2015
FRAMES AND PHASELESS RECONSTRUCTION AMS SHORT COURSE JOINT MATHEMATICS MEETINGS SAN ANTONIO
2015/9/29
Frame design for phaseless reconstruction is now part of the broader problem of nonlinear recon- struction and is an emerging topic in harmonic analysis. The problem of phaseless reconstruction can be...
On Lipschitz Inversion of Nonlinear Redundant Representations
Lipschitz Inversion Nonlinear Redundant Representations
2015/9/29
In this note we show that reconstruction from magnitudes of frame coefficients (the so called “phase retrieval problem”) can be performed using Lipschitz continuous maps. Specifically we show that whe...
Basic references are Vogan’s notes on Sp(4, R): [?] (branching) and [?] (Hermitian forms). In fact these notes are largely a rewriting of [?] in more explicit atlas terms.
UNITARY SHIMURA CORRESPONDENCES FOR SPLIT REAL GROUPS
UNITARY SHIMURA CORRESPONDENCES SPLIT REAL GROUPS
2015/9/28
UNITARY SHIMURA CORRESPONDENCES FOR SPLIT REAL GROUPS.
Computing Global Characters
Global Characters
2015/9/28
Let π be an irreducible representation of a real reductive group G. The global character θπ of π may be considered as a function on the regular semisimple elements of G. The global character determine...
A Chevalley involution C of a connected reductive group G satisfies C(h) = h−1 for all h in some Cartan subgroup of G. Furthermore, C takes any semisimple1 element to a conjugate of its inverse....
The Contragredient
Contragredient
2015/9/28
It is surprising that the following question has not been addressed in the literature: what is the contragredient in terms of Langlands parameters?
Algorithms for Representation Theory of Real Reductive Groups
Representation Theory Real Reductive Groups
2015/9/28
The irreducible admissible representations of a real reductive group such as GL(n, R) have been classified by work of Langlands, Knapp, Zuckerman and Vogan. This classification is somewhat involved an...
Global instability in the elliptic restricted three body problem
Elliptic Restricted Three Body problem Arnold diffusion splitting of separatrices Melnikov integral
2015/9/25
The (planar) ERTBP describes the motion of a massless particle (a comet) under the gravitational field of two massive bodies (the primaries, say the Sun and Jupiter) revolving around their center of m...
DESTRUCTION OF INVARIANT CURVES IN THE RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM BY USING COMPARISON OF ACTION
INVARIANT CURVES RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM
2015/9/25
The classical principle of least action says that orbits of mechanical systems extremize action; an important subclass are those orbits that minimize action. In this paper we utilize this principle al...
THE METHOD OF SPREADING CUMULATIVE TWIST AND ITS APPLICATION TO THE RESTRICTED CIRCULAR PLANAR THREE BODY PROBLEM
SPREADING CUMULATIVE TWIST RESTRICTED CIRCULAR PLANAR THREE BODY PROBLEM
2015/9/25
The purpose of this paper is twofold. First we show that the dynamics ofa Sun-Jupiter-Comet system and under some simplifying assumptions has a semi-infiniteregion of instability. This is done by redu...
The main model studied in this paper is a lattice of pendula with a nearestneighbor coupling. If the coupling isweak, then the system is near-integrable and KAM tori fill most of the phase space. For ...