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In this talk, we will introduce some applications of Nevanlinna theory to “arithmetic properties” of exponential polynomials and some special cases of Green-Griffiths-Lang conjecture with moving targe...
In this talk we consider the maximum absolute value in the autocorrelation spectrum (not considering the zero point) of balanced Boolean function. The long-standing open question in this area is to ob...
The constant rank theorem was initially developed by Caffarelli-Friedman in 1985 in two-dimensions for convex solutions of semilinear equations. Later, Korevaar-Lewis extended the result to higher dim...
Rapidly oscillating functions associated with Lagrangian submanifolds play a fundamental role in semiclassical analysis. In this talk I will describe how to associate classes of semiclassical oscillat...
In this series of talks, I will present some recent developments in the theory of Oka manifolds and their applications. After a brief review of the classical Oka-Grauert theory, I shall recall the not...
In this series of talks, I will present some recent developments in the theory of Oka manifolds and their applications. After a brief review of the classical Oka-Grauert theory, I shall recall the not...
In this series of talks, I will present some recent developments in the theory of Oka manifolds and their applications. After a brief review of the classical Oka-Grauert theory, I shall recall the not...
In this series of talks, I will present some recent developments in the theory of Oka manifolds and their applications. After a brief review of the classical Oka-Grauert theory, I shall recall the not...
In this talk I will briefly introduce some Paley-Wiener type theorems in the Clifford algebra setting. The PW type theorems are related to a decomposition of some function spaces. Using the PW type th...
In this series of talks, I will present some recent developments in the theory of Oka manifolds and their applications. After a brief review of the classical Oka-Grauert theory, I shall recall the not...
Most smoothing procedures are via averaging. Pseudo-Poincar¶e in- equalities give a basic Lp-norm control of such smoothing procedures in terms of the gradient of the function involved. When av...
In a second-order cone program (SOCP) a linear function is minimized over the intersection of an affine set and the product of second-order (quadratic) cones. SOCPs are nonlinear convex problems that ...
A pseudorandom function F : K X ! Y is said to be key homomorphic if given F(k1; x) and F(k2; x) there is an ecient algorithm to compute F(k1  k2; x), where  denotes a group operation on k1 and ...
Efficient characteristic set methods for computing solutions of polynomial equation systems in a finite field are proposed. The concept of proper triangular sets is introduced and an explicit formula ...
Inspired by a recent result of Cho-Kim-Park, we consider a purely algebraic result. Then given a circle or cyclic group of prime order action on a manifold, we will use it to estimate the lower bound ...

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