Aris Daniilidis

The Lojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems

Given a real-analytic function

Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity

f:\mathbb{R}^{n} \rightarrow \mathbb{R}

Clarke Subgradients of Stratifiable Functions

and a critical point

Subsmooth sets: Functional characterizations and related concepts

a \in \mathbb{R}^{n}

Coercivity conditions and variational inequalities

, the Łojasiewicz inequality asserts that there exists

On the equivalence between complementarity systems, projected systems and differential inclusions

\theta\in\lbrack\frac{1}{2},1)

EXISTENCE THEOREMS FOR VECTOR VARIATIONAL INEQUALITIES

such that the function

Characterization of nonsmooth semistrictly quasiconvex and strictly quasiconvex functions

|f-f(a)|^{\theta}\,\Vert\nabla f\Vert^{-1}

Tame functions are semismooth

remains bounded around

Generic Optimality Conditions for Semialgebraic Convex Programs

a