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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Differentiability of volume functions for big classes
大类 体积函数 可微性
2023/4/17
We report a recent paper of Witt Nystrom, where he proved the differentiability of volume functions using deformation to the normal cone.
Second Order Hadamard Differentiability in Statistical Applications
Cramer-von Mises statistic goodness of fit test Hadamard differentiability limiting distribution linear models M-estimator statistical functionals uniform asymptotic linearity weighted empirical processes
2015/12/11
A formulation of the second-order Hadamard differentiability of (extended) statistical functionals and some related theoretical results are established. These results are applied to derive the limitin...
ON DIFFERENTIABILITY OF SRB STATES FOR PARTIALLY HYPERBOLIC SYSTEMS
DIFFERENTIABILITY HYPERBOLIC SYSTEMS
2015/9/29
Consider a one parameter family of diffeomorphisms
fε such that f0 is an Anosov element in a standard abelian Anosov
action having sufficiently strong mixing properties. Let νε be any
u-...
To Hash or Not to Hash Again?(In)Differentiability Results for H2 and HMAC
Indifferentiability Hash functions HMAC
2012/12/4
We show that the second iterate H2(M) = H(H(M)) of a random oracle H cannot achieve strong security in the sense of indifferentiability from a random oracle. We do so by proving that indifferentiabili...
Differentiability of functions in the Zygmund class
Differentiability of functions Zygmund class
2011/2/21
Given two parameters b > 1 and 0 < 1, in 1876, Weierstrass considered the functions given by the series X1 n=0 bn cos(2bnx); x 2 R;and proved that they are continuous and nowhere di er...
On the differentiability of the solution to an equation with drift and fractional diffusion
differentiability solution equation drift fractional diffusion
2011/1/20
We consider an equation with drift and either critical or supercritical fractional diffusion.
Under a regularity assumption for the vector field that is marginally stronger than what is required for ...
Characterizations of differentiability for h-convex functions in stratified groups
subdifferential stratified groups second order differentiability
2010/12/14
Using the notion of h-subdifferential, we characterize both first and second order differentiability of h-convex functions in stratified groups. We show that Aleksandrov’s second order differentiabili...
Epi-differentiability and Optimality Conditions for an Extremal Problem Under Inclusion Constraints
Optimality Conditions Epi-convergence Epi-differentiability Support function
2008/7/1
Epi-differentiability and Optimality Conditions for an Extremal Problem Under Inclusion Constraints.
On Differentiability with Respect to Parameters of the Lebesgue Integral
Lebesgue integral Contingent cones Contingent derivatives
2008/6/27
The aim of this paper is to extend the results of [7] and [8] to a Lebesgue integral whose integrand and limits of integration depend on parameters.
Upper estimates for Gâteaux Differentiability of Bump Functions in Orlicz-Lorentz Spaces
Orlicz function Orlicz-Lorentz space Smooth bump functions
2008/6/26
Upper estimates for Gâteaux Differentiability of Bump Functions in Orlicz-Lorentz Spaces.
State Space Consistency and Differentiability Conditions for a Class of Causal Dynamical Input-Output Systems
State Space Consistency Differentiability Conditions Class of Causal Dynamical Input-Output Systems
2010/12/14
A causal input-output system may be described by a function space for inputs, a function space for outputs, and a causal operator mapping the input space into the output space. A particular representa...