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7 papers · 1 filter
On a conjecture of Pomerance
L. Hajdu, N. Saradha, R. Tijdeman
We say that k is a P-integer if the first phi(k) primes coprime to k form a reduced residue system modulo k. In 1980 Pomerance proved the finiteness of the set of P-integers and co…
Micro-structure of damage in thermally activated fracture of Lennard-Jones systems
A. Yamamoto, F. Kun, S. Yukawa
We investigate the effect of thermal fluctuations on the critical stress and the micro-structure of damage preceding macroscopic fracture of Lennard-Jones solids under a constant e…
Disorder induced brittle to quasi-brittle transition in fiber bundles
Ehud Karpas, Ferenc Kun
We investigate the fracture process of a bundle of fibers with random Young modulus and a constant breaking strength. For two component systems we show that the strength of the mix…
Crackling noise in three-point bending of heterogeneous materials
Gabor Timar, Ferenc Kun
We study the crackling noise emerging during single crack propagation in a specimen under three-point bending conditions. Computer simulations are carried out in the framework of a…
Functional limit theorems for Lévy processes satisfying Cramér's condition
Matyas Barczy, Jean Bertoin
We consider a Lévy process that starts from and conditioned on having a positive maximum. When Cramér's condition holds, we provide two weak limit theorems as …
Phenomenological description of neutron capture cross sections at 30 keV
Miklos Kiss, Zoltan Trocsanyi
Studying published data of Maxwellian averaged neutron capture cross sections, we found simple phenomenological rules obeyed by the cross sections as a function of proton and neutr…