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- T. T. Truong, M. K. Nguyen
- 2012

Radon transforms on piecewise smooth curves in R 2 are rather unfamiliar and have not been so far widely investigated. In this paper we consider three types of Radon transforms defined on a pair of half-lines in the shape a V-letter, with a fixed axis direction. These three Radon transforms arise from recently suggested tomographic procedures. Our main… (More)

- Finnur Lárusson, Tuyen Trung Truong, Thomas Peternell
- 2017

Little is known about the behaviour of the Oka property of a complex manifold with respect to blowing up a submanifold. A manifold is of Class A if it is the complement of an algebraic subvariety of codimension at least 2 in an algebraic manifold that is Zariski-locally isomorphic to C n. A manifold of Class A is algebraically subelliptic and hence Oka, and… (More)

- M. K. Nguyen, T. T. Truong, H. Zaidi
- 2009

— Imaging processes built on the Compton scattering effect are currently under intense investigation. However, despite many innovative contributions, this topic still pose a formidable mathematical and technical challenge. In this work, we argue that, in the framework of single-photon emission imaging, collecting Compton scattered radiation from an emitting… (More)

For a q × q matrix x = (x i,j) we let J(x) = (x −1 i,j) be the Hadamard inverse, which takes the reciprocal of the elements of x. We let I(x) = (x i,j) −1 denote the matrix inverse, and we define K = I • J to be the birational map obtained from the composition of these two involutions. We consider the iterates K n = K • · · · • K and determine degree… (More)

- T. T. Truong, M. K. Nguyen
- 2012

In his seminal work of 1981, A M Cormack has established that Radon transforms defined on two remarkable families of curves in the plane are invertible and admit explicit inversion formulas via circular harmonic decomposition. A sufficient condition for finding larger classes of curves enjoying the same property is given in this paper. We show that these… (More)

Let K be an algebraically closed field, X a smooth projective variety over K and f : X → X a dominant regular morphism. Let N i (X) be the group of algebraic cycles modulo numerical equivalence. Let χ(f) be the spectral radius of the pullback f * : H * (X, Q l) → H * (X, Q l) on l-adic cohomology groups, and λ(f) the spectral radius of the pullback f * : N… (More)

We obtain some two-bound estimates for the local growth of pluri-subharmonic functions. We propose a conjecture which is similar to the comparison theorem in [H. Alexander and B. A. Taylor, Comparison of two capacities in C n , Math. Z. 186 (1984), 407–417]. We verify this conjecture in several cases. We then show that this conjecture implies extensions of… (More)

- Tuyen T. T. Truong, Cuong H. Phan
- MUE
- 2013

- A Ralko, T T Truong
- 2008

We study the competitive action of magnetic field, Coulomb repulsion and space curvature on the motion of a charged particle. The three types of interaction are characterized by three basic lengths: lB the magnetic length, l0 the Bohr radius and R the radius of the sphere. The energy spectrum of the particle is found by solving a Schrödinger equation of the… (More)

We compute the degree complexity of the family of birational maps considered in [2] for all exceptional cases. Some interesting properties of the family are also given.