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The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra
generalized triangle inequalities symmetric spaces and buildings applications to algebra
2015/10/14
In this paper we apply our results on the geometry of polygons in infinitesimal symmetric spaces, symmetric spaces and buildings, [KLM1, KLM2], to four problems in algebraic group theory. Two of these...
Conservative homoclinic bifurcations and some applications
conservative dynamics homoclinic bifurcations Newhouse phenomena persistent tangencies Hausdorff dimension standard map three body problem Sitnikov problem
2015/9/25
We study generic unfoldings of homoclinic tangencies of two dimensional area preserving diffeomorphisms (conservative Newhouse phenomena) and show that they give rise to invariant hyperbolic sets of a...
Dynamics of the dominant Hamiltonian,with applications to Arnold diffusion
dominant Hamiltonian Arnold diffusion
2015/9/25
It is well know that instabilities of nearly integrable Hamiltonian systems occur around resonances. Dynamics near resonances of these systems is wellapproximated by the associated averaged system, ca...
New Multiscale Transforms, Minimum Total Variation Synthesis: Applications to Edge-Preserving Image Reconstruction
Ridgelets curvelets wavelets pseudo-polar FFT Slant Stack Radon transform trigonometric interpolation total-variation edges edge-preserving tomography/deconvolution thresholding
2015/6/17
This paper describes newly invented multiscale transforms known under the name of the ridgelet [6] and the curvelet transforms [9, 8]. These systems combine ideas of multiscale analysis and geometry. ...
A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications
Generating Uniformly Scattered Points L p-norm Unit Sphere and Its Applications
2015/3/20
A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications.
Majorization and Its Applications to Block Design Optimality
Majorization and Its Applications Block Design Optimality
2015/3/20
Majorization and Its Applications to Block Design Optimality.
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem
Sturm-Liouville eigenvalue applications n-body problem
2015/3/18
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem.
Intégralité des coefficients de Taylor de racines d'applications miroir
Intégralité des coefficients Taylor racines d'applications miroir
2011/1/20
Nous démontrons l’intégralité des coefficients de Taylor de racines de séries de la forme q(z) := z exp(G(z)/F(z)), où F(z) et G(z) + log(z)F(z) sont des solutions particulières de certaines équations...
A Unified Analysis of Transmission with Transceiver Distortion and Some Applications
Unified Analysis of Transmission Transceiver Distortion Applications
2011/1/19
A unified analysis is presented for information transmission over Gaussian channels with memoryless nonlinear transceiver distortion, which encompasses various distortion models including transmit-sid...
Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
Intrinsic metrics non-local symmetric Dirichlet applications spectral theory
2011/2/25
We present a study of what may be called an intrinsic metric for a general regular Dirichlet form. For such forms we then prove a Rademacher type theorem.
Applications of operational calculus: Equations for rectangular arrays of four and five data
Interpolation shifting operator rectangular data array operational equations
2010/11/1
Selections of equations for four or five data in rectangular array are seldom encountered in textbooks. New methods illustrate polynomial and exponential equations for the two designs. The methods are...
This paper presents a self-contained account for coupling arguments and ap-plications in the context of Markov processes. We first use coupling to describe the transport problem, which leads to the co...
Applications of operational calculus: Trigonometric interpolating equation for the eight-point cube
interpolation operational equations prismatic array
2010/9/21
A general method for obtaining a trigonometric-type interpolating equation for the eight-point cubical array is illustrated. It can often be used to reproduce a ninth datum at an arbitrary point near ...
Applications of fractional calculus
fractional derivative fractional Integral differintegrals
2010/9/21
Different definitions of fractional derivatives and fractional Integrals (Differintegrals) are considered. By means of them explicit formula and graphs of some special functions are derived. Also we r...