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- T. Claeys
- 2008

We obtain an asymptotic expansion for the solution of the Cauchy problem for the Korteweg-de Vries (KdV) equation ut + 6uux + ǫ uxxx = 0, u(x, t = 0, ǫ) = u0(x), for ǫ small, near the point of gradient catastrophe (xc, tc) for the solution of the dispersionless equation ut + 6uux = 0. The sub-leading term in this expansion is described by the smooth… (More)

- Harmen Reyngoudt, Tom Claeys, +7 authors Eric Achten
- European journal of radiology
- 2012

OBJECTIVE
To study age-related metabolic changes in N-acetylaspartate (NAA), total creatine (tCr), choline (Cho) and myo-inositol (Ins).
MATERIALS AND METHODS
Proton magnetic resonance spectroscopy (1H-MRS) was performed in the posterior cingulate cortex (PCC) and the left hippocampus (HC) of 90 healthy subjects (42 women and 48 men aged 18-76 years,… (More)

- Karel Decaestecker, Gert De Meerleer, +8 authors Piet Ost
- Radiation oncology
- 2014

PURPOSE
To assess the outcome of prostate cancer (PCa) patients diagnosed with oligometastatic disease at recurrence and treated with stereotactic body radiotherapy (SBRT).
METHODS
Non-castrate patients with up to 3 synchronous metastases (bone and/or lymph nodes) diagnosed on positron emission tomography - computed tomography, following biochemical… (More)

- T. Claeys
- 2008

We establish the existence of a real solution y(x, T ) with no poles on the real line of the following fourth order analogue of the Painlevé I equation, x = Ty − ( 1 6 y + 1 24 (y x + 2yyxx) + 1 240 yxxxx ) . This proves the existence part of a conjecture posed by Dubrovin. We obtain our result by proving the solvability of an associated Riemann-Hilbert… (More)

- Tom Claeys
- 2000

We study unitary random matrix ensembles in the critical case where the limiting mean eigenvalue density vanishes quadratically at an interior point of the support. We establish universality of the limits of the eigenvalue correlation kernel at such a critical point in a double scaling limit. The limiting kernels are constructed out of functions associated… (More)

- Tom Claeys
- 2008

We study unitary random matrix ensembles in the critical regime where a new cut arises away from the original spectrum. We perform a double scaling limit where the size of the matrices tends to infinity, but in such a way that only a bounded number of eigenvalues is expected in the newborn cut. It turns out that limits of the eigenvalue correlation kernel… (More)

- T. Claeys
- 2005

We study unitary random matrix ensembles of the form Z n,N | detM |2αe−N Tr V dM , where α > −1/2 and V is such that the limiting mean eigenvalue density for n,N → ∞ and n/N → 1 vanishes quadratically at the origin. In order to compute the double scaling limits of the eigenvalue correlation kernel near the origin, we use the Deift/Zhou steepest descent… (More)

- T. Claeys
- 2009

We study Fredholm determinants related to a family of kernels which describe the edge eigenvalue behavior in unitary random matrix models with critical edge points. The kernels are natural higher order analogues of the Airy kernel and are built out of functions associated with the Painlevé I hierarchy. The Fredholm determinants related to those kernels are… (More)

- TOM CLAEYS
- 2007

Unitary random matrix ensembles Z n,N (detM) α exp(−N TrV (M)) dM defined on positive definite matrices M , where α > −1 and V is real analytic, have a hard edge at 0. The equilibrium measure associated with V typically vanishes like a square root at soft edges of the spectrum. For the case that the equilibrium measure vanishes like a square root at 0, we… (More)

- Tom Claeys, Nicolaas Lumen, +8 authors Karel Decaestecker
- Urologic oncology
- 2017

OBJECTIVES
To describe the effects of cytoreductive nephrectomy (CN) on the natural course of metastatic renal cell carcinoma (mRCC). CN appears to stabilize metastatic lesions in mRCC in a subgroup of patients and we hypothesize that systemic treatment might be deferred in these patients with stable disease after CN.
SUBJECTS AND METHODS
Overall, 45… (More)